diff --git "a/data/dm_maths/full_data_1/1975_11255.jsonl" "b/data/dm_maths/full_data_1/1975_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1975_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let f(v) = v**3 - 10*v**2 + 12*v - 6. Let x be f(9). Suppose -5*n + 2*n + x = 0. Calculate the highest common factor of n and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 469162.2 meters?\nAnswer: 469162200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -240641072 at most -240641069?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*c**4*h**2 - 31*c**4*h - 19*c**4 - 2*c**2 - 17600*c*h**2 wrt c?\nAnswer: 72*c*h**2 - 744*c*h - 456*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 5*f + 12 + 9, 5*f = 3*v - 13 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((36\/(-8))\/9)\/(6*13\/39).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10\/3 - -23\/6. What is the fourth biggest value in -1\/6, 3, h, 17?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 966.4597cm in meters?\nAnswer: 9.664597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 59\/(-4425)*10 - (-591)\/45?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28129152815 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.14 + 23.14. Let m = 17 - l. Let g(f) = -4*f + 95. Let t be g(24). What is the closest to t in 3, -0.4, m?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 10 = -6. Suppose -5*o + p = -7. Solve 6 = -o*b - 6 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-420)\/350)\/(21\/(-20)) - 1\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 6*o - 9. Let q(x) = -10*x + 129. Let l be q(-16). Let c(y) = 291*y + 5 - 6 - l*y - 2. Give 7*c(a) - 2*z(a).\nAnswer: 2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39 - -71. Is 16 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*m + 89 = -5*n + 27*m, 8*n - 1 - 1 = -2*m for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 9. Let a be 1\/5 - 72\/(-40). Let o be 38\/14 + 4\/14. Solve c - 7 = -2*w - 3*w, o*w + a*c = l for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 12) to base 2.\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2212.5 times -119.4\nAnswer: 264172.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 32 = 9*s - 7*s, -s = -5*i - 32. Solve s*b + 20 = -9*z + 4*z, -5*b = -2*z + 21 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 18 + 14 = 0. Suppose d*f = -f + 10. Suppose -u = -f*u. Solve 2*t - 2*y + 8 = 0, 5*t + u*y = y for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2 + 12*h + 26 + h**2 - 12*h + 13*h. Let q be v(-16). Is q greater than 212\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18864.\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1760 and 5632?\nAnswer: 28160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + -2. Let r = 11 + l. Let b = r - 2.999992. What is b rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 167885?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -15*c**3 - c**2 - 2*c. Let i be b(-1). Suppose 4*d - i = -0. Suppose d*u + 5941456 = 20741456. Round u to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15\/4*77\/(-5). Let y = d - -58. Let p = -1941 - -1941. Are y and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48 + -47.99999991. Round i to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 748 is divided by 184?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5694)\/12337 + 40\/(-26).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3 + 18*c**2 + 33*c + 18.\nAnswer: 3*(c + 1)*(c + 2)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 4679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 + -15. Let q be (s\/(-18))\/((-6)\/(-27)). Let m(l) = -l - 7. Let h be m(-9). Which is the closest to h? (a) 2 (b) -4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -67561781077?\nAnswer: -67561781078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.93672 millennia in centuries?\nAnswer: 9.3672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-51)\/10 + 94\/940. Let a(w) = -3 - 4*w + 0*w - 1. Let i(h) be the second derivative of -h**3\/3 - h**2 - 5*h. Determine g*i(r) + 2*a(r).\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.15, 1, -5 in descending order.\nAnswer: 1, 0.15, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 142008359?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of -4*o**5\/5 - 8*o**3\/3 + 7. What is the third derivative of p(n) wrt n?\nAnswer: -96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 12*w - 11 = 15*w, 0 = -5*a + 4*w for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2 + 23*x + 24. Let l = -1211 - -1210. What is h(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38 + 36. Is -2 - q\/((-10)\/(-17765)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 57*m**2\/8 - 216612*m - 136809\/2 = 0. What is m?\nAnswer: -6\/19, 30402","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5445645?\nAnswer: 3, 5, 363043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2 (b) 0 (c) -1\/255\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114809.\nAnswer: 114809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -21 - 35 + 12 - 6*a - 36 + 5 in the form k*a + x and give x.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - 5. What is the highest common factor of 44 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-273)\/(-84)*6*8. What is the greatest common factor of 390 and s?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -9655 and -9655 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2418.\nAnswer: 2, 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -16*m**2 + 3409*m + 10222. Determine f(-3).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -4*k + 72, 3*g - 2*g - 2*k = 6. Suppose -26*x = -29*x + g. Suppose 13 = -x*v + 1. Sort -5, v, 0 in decreasing order.\nAnswer: 0, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3333)\/(-6) - 15\/(-5). Let a = x - 474. Let z = 82 - a. Put z, -1, 5 in decreasing order.\nAnswer: 5, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5664757 (base 8) to base 10\nAnswer: 1534447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 70*n**2 - 1333*n - 1332. Determine d(-1).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a year in months?\nAnswer: 129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a. Suppose -h = -2*h - 3. Let p be f(h). Let s = p + 11. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 - 6)*(2*r**2 + 1 - 1) - 24*r**2 + 15 - 15 to a*r**2 + h + l*r and give a.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29\/(406\/308))\/(56\/84)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -190.7816648 rounded to 1 decimal place?\nAnswer: -190.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 + i - 1. Let t(s) be the first derivative of -2*s - 18 - 5\/3*s**3 + s**2. Let y = 177 - 173. Determine y*v(u) - t(u).\nAnswer: u**2 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110230231301302 - -11?\nAnswer: -110230231301231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-348)\/58*5\/(45\/(-6))*5.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(20) + 2*sqrt(20)))\/((sqrt(100) + 1*sqrt(100) + sqrt(100))\/sqrt(10)).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -171*m + 167*m + 25020. List the prime factors of m.\nAnswer: 3, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 3*n + 14, 5*r + 1 = n + 23. Let p = 40 - -15. What is the greatest common factor of r and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5072 to the power of 1\/2, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -j - 11. Let i(r) = -2*r - 15. Let u be i(j). Find the third derivative of 5*x**u - 51*x**5 + 23*x**2 + 23*x**5 wrt x.\nAnswer: -1380*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 4*b**2 - 557*b - 33. Let n be u(108). Which is smaller: n or -13534?\nAnswer: -13534","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3482665*p**2*r*z + 43*p*r*z - 3*r*z + 4*r - 83*z - 68167 wrt p.\nAnswer: 6965330*p*r*z + 43*r*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 45368495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/4, 2, -4, 6\/37.\nAnswer: -4, -9\/4, 6\/37, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.4688 + -1.5688. What is the nearest to 65 in 3, -2\/3, 0.3, p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34\/10 + ((-18)\/5)\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2463513593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of c**4\/12 + 18*c**2 + 25*c. Let r(x) be the first derivative of f(x). Let q(n) = 8*n. Give q(r(g)).\nAnswer: 16*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1975?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/((-1248)\/(-8)))\/((6\/9)\/((-208)\/(-78))).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -o**4\/4 - 4*o**3\/3 + 3*o**2\/2 - o + 4168. Let y be 4\/18 - (-114)\/(-27). What is t(y)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 l when two letters picked without replacement from ojjjojooojooolj.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4546287.9 - -4546601.89861. Let m = 314 - l. Round m to 4 decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1369526399.\nAnswer: 37, 2887, 12821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10101 (base 2) in base 11?\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1129940299?\nAnswer: 37, 1063, 28729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4454 and 262?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/((-2)\/8 - (-15)\/(-20)). Let r(n) = -n**2 - 1. Let m be r(q). Which is the second smallest value? (a) 0.5 (b) -16 (c) m (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -77, 2, -4, -62, -2\/3, 4\/9 in decreasing order.\nAnswer: 2, 4\/9, 0, -2\/3, -4, -62, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/3198 and -87\/1066.\nAnswer: 3198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -838*p - 827*p + 94*p**2 + 1664*p.\nAnswer: 94*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2937158 a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 1589 divide 46728639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(189) - (sqrt(189) - (sqrt(189) + (sqrt(189) - sqrt(189)*1)))) - (sqrt(189) + -4*sqrt(189)*3))\/(sqrt(1575)\/sqrt(9)*-4*-1).\nAnswer: 39*sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 4982?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 3015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -204 - 345 + 142 - 49*s**3 - 111*s**3 wrt s.\nAnswer: -480*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19\/38541 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 - -31. Let w be 0\/(b\/((-1)\/(-2))). Suppose 11*l - 7*l - 1876 = w. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 184*377.89\nAnswer: 69531.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 919727?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1524402.\nAnswer: 2, 3, 11, 7699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 337 - 339. What is the second smallest value in 2\/13, 3\/4, -12, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 0*a + 326 = 0. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-297)\/18)\/((-77)\/(-84)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 15342521594 and 47.\nAnswer: 15342521641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -27*t**3 - 5*t + 5. Let o be v(1). Let c(n) = -n**2 - 22*n + 58. Let r be c(o). Let k = r - -78. Put k, 5, -1 in increasing order.\nAnswer: -1, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006279418 rounded to 5 dps?\nAnswer: 0.00628","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 365504 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of 28*z**3\/3 - z**2\/2 - z + 9. What is the remainder when 111 is divided by v(-1)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hoooqoquz. What is prob of sequence uh?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 132001 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-200)\/160*(6\/10 + -3). Let o(r) = -2*r - r**2 + 6*r - 3*r. Let m(k) = -4*k**2 + k - 2. Calculate j*o(n) - m(n).\nAnswer: n**2 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccwcuhwcucchwhcuhw. What is prob of picking 1 h, 1 c, and 1 w?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-17\/5)\/j**(-2\/29))\/((j\/(j*j**(6\/7)))\/(j**(-1\/2)\/j)) assuming j is positive.\nAnswer: j**(-8067\/2030)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 24 = -4*a. What is the greatest common divisor of a and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -19, -61, -151, -307?\nAnswer: -547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - -6. Let t = 59 + -44. Is t > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 307.4 rounded to the nearest 10?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3*l - 78, 7*l - 2*l = -2*n + 94. Let t = n - 41. Let s be (50\/(-20))\/(t\/(-2)). Solve 0 = -5*o - 0*o - s for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**(-43)\/y))\/(y**(-1\/3)\/y) assuming y is positive.\nAnswer: y**(136\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and -0.09426.\nAnswer: 4.90574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 118984\/48 - 3\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 1 + -6 - -7) + (-11 - 15)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 + 33. Which is the third smallest value? (a) -2 (b) g (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(5) - sqrt(125))**2 + 4 - (-4*sqrt(125))**2) + -5*(-4 + sqrt(45) + 2)**2 + 3.\nAnswer: 60*sqrt(5) + 5506","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 396151519 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 70 = -3*j, 5*j + 40 = 2*h - 7. What is the remainder when 32 is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 174828 by 17.\nAnswer: 10284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*d = 19177041 - 19172365 for d.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*a + 171*a + 5*y = -25, 2*a - 2 = 4*y for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 91512, 183027, 274542, 366057, 457572?\nAnswer: 549087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -22310, -27057, -31804, -36551?\n\"Answer: -4747*p - 17563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of 4*p**5\/5 - 8*p**4 - 4*p**3\/3 + 16*p**2 + 46. What is a in g(a) = 0?\nAnswer: -1, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 756 = 4*q. Let z = q + 170. List the prime factors of z.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 1 = 3*z + 4*c, 4*z - 5*c - 7 = 0. Let t be (1 + (-2)\/(-4))*2. What is the greatest common factor of t and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 805, -3, 100, -4 in descending order.\nAnswer: 805, 100, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 224327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55\/31743, -3, 4.\nAnswer: -3, 55\/31743, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2 + 0)*(1 - 1 - 2)*(-u - 2*u + u) + (97 - 160 + 109)*(-3*u - 3*u - 9*u) in the form n + g*u and give g.\nAnswer: -698","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 381 is divided by ((-32)\/(-36))\/(-4) + (-434)\/(-9)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 900395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (15 - 2) + -15.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 4*h**3 + 7*h**4 - 9*h**3 + 0*h**3 - 5*h**2 - 9*h**4 + h**2 as k*h + n*h**3 + y*h**4 + t*h**2 + r and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -278\/5, -2\/7, -1\/4, -3 in decreasing order.\nAnswer: 0.4, -1\/4, -2\/7, -3, -278\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - -1. Suppose 0*x = a*x. Let h be ((-2)\/8)\/(-3 + 2). Which is smaller: h or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 38 = 41 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q**2 - 14*q**2 - 67 + 67.\nAnswer: -20*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44.26 + -46. Let k = -39.26 + v. Is 0.1 at most as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -502 - 10234?\nAnswer: -11140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1801 = -2*u - 9*s + 6*s, 0 = 2*s - 2. What is the remainder when u is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3*z - 4*z - z)*(-11 + 11 - 2*z**2) + 42*z**3 + 0*z + 0*z)*(61 + 9*z - 61) to the form p + b*z**3 + r*z**4 + t*z + f*z**2 and give r.\nAnswer: 414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.28 + -0.29. Let y = -6817\/2 + 3409. What is the closest to y in 0.5, -2, q?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -51*n + 414. Let h be o(8). What is the second smallest value in -3, 1\/4, h, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*j + 1168 = -30*j. List the prime factors of j.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.12? (a) -4\/7 (b) 3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -9. Let q(n) be the second derivative of 0*n**2 - n + 1\/6*n**3 + 0 - 1\/4*n**y. What is the second derivative of q(a) wrt a?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00226762 to 4 dps.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 38*c. Let b(d) = -20*d**2 - d - 2. Let t(l) = -74*l**2 - 3*l - 6. Let p(o) = 3*b(o) - t(o). Calculate n(p(z)).\nAnswer: 532*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 84\/22 - 72\/(-396). Let y(q) = 6*q + 9. Let h(l) = -3*l - 5. Let x(f) = 5*h(f) + 2*y(f). Let n(s) = -5*s - 13. Calculate o*n(m) - 7*x(m).\nAnswer: m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*i = m + 1060, -4*i - 5*m = -2120. Let n = i + -279. Find l, given that -l**2 + l**2 - 3*l**2 + 248*l**3 - n*l**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 13*n**2 + 2*n - 22. Suppose 0 = -8*v + 12*v + 8. Let i(l) = l**2 + l - 1. Let k(h) = v*i(h) + j(h). Differentiate k(c) wrt c.\nAnswer: 22*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + l - 6*l - 8 = 0, -l = -5*f + 10. Let n = 7 - 3.3. Let s = n + 1.3. What is the second biggest value in -4, f, s?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, j: 2, f: 4, o: 10}. Give prob of picking 1 j and 1 h.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*v + 0 + 0 + (-3 + 6 - 2)*(v - 4*v + v))*(2 - 5 + 4) + 7442 - 17*v - 7442 in the form k + h*v and give h.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 16*y - 100 - 5*y**3 - 2*y**4 - 1\/5*y**5 + 4*y**2. Factor k(t).\nAnswer: -(t - 1)*(t + 1)*(t + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*f**2 + 8*f**2 + 56*f**2 - 107*f**2 + 13*f**2 + 11*f**2.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1344 and 1021664?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -40 or -239\/6?\nAnswer: -239\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/15, 3, -0.2, 0, -22.8, 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88 - 27*v + 43 + 27*v + 45 - 67*v.\nAnswer: -67*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 6*w**2 + 10*w + 26. Let c be k(-7). Solve -o + 1 = c for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b - 4*o + 4, -16*b = -20*b + 2*o + 28 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 410.21 and -119?\nAnswer: -48814.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21743758 + -7240866.\nAnswer: -28984624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - h + 2 = -4, 0 = 5*z + 3*h - 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10290 - 10281. What is the biggest value in j, -0.28, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10277.\nAnswer: 43, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 19*o**2 - 5*o - 5. Let j(f) be the second derivative of 437*f**4\/12 - 19*f**3 - 57*f**2 + 1328*f. Give 114*h(r) - 5*j(r).\nAnswer: -19*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 117? (a) 882 (b) 2\/11 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5003 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 217 + -212. Suppose 15 = 5*j, -m*j + 404 = 5*b - 2*j. What is the remainder when b is divided by 30?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3067613?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -361 or -9054\/25?\nAnswer: -361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -11*d + 149933. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 - -4 - (-4)\/14. Suppose d = j + 3 - 8, -3*d - 3*j = -15. What is the nearest to d in -0.1, 0.4, b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 395 + 328. Let t = g + -265. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from clclc. Give prob of sequence cl.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 321131 + -3?\nAnswer: 321122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - 3. Let l = 23 - 7. Let x = l + k. Solve 0 = -x*m + 3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 26005 from -16210109.\nAnswer: -16236114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 0 + 1)*(-12 + 6 - 2) + (0 + 3 - 1)*(5 + 0 - 4) + 2 + 14 - 3)*(-2 - x**2 + 2) in the form p*x + z*x**2 + o and give z.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 19 = 2*i - w, -2*w - 17 = -i. Suppose 0 = 5*o - 3 - i. Suppose o*l = -2*l + 4*p + 212, -265 = -5*l + p. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2 (b) -0.05 (c) -1\/131 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*9\/(-24)*(-28)\/(-42)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 1 - 1)*(3*b**2 + 2*b - 2*b) - b**3 - 6*b**3 + 5*b**3.\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -514208077*k*t + 8903251*t wrt k?\nAnswer: -514208077*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -85, -355, -807, -1441, -2257, -3255, -4435?\n\"Answer: -91*n**2 + 3*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 970547 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 5*a + 2. Let p be c(3). Let v = p + -3. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 3*sqrt(612) + sqrt(272)*-2 + sqrt(425)*-3 + 3*sqrt(1700))**2.\nAnswer: -50*sqrt(17) + 10626","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.582 - 2.382. Which is smaller: 552 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/39 (b) 0.028 (c) -4 (d) 92 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2*-1)\/(3 - 4). Suppose -n = -z - 0. Differentiate n - 8*i**2 + 8*i**2 - i**4 with respect to i.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 - 0.5. Which is the closest to 0? (a) 4 (b) -2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1104)\/(-299)*(-1898)\/146.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -7*y**5 + y**4 + 17*y**3 - y**2 - 6*y + 2. Let k(z) = 6*z**5 - 18*z**3 + 6*z - 3. Let c(p) = 2*k(p) + 3*v(p). Let c(o) = 0. What is o?\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -120260*a. Let s(i) = -i**2 - 574. Give s(z(p)).\nAnswer: -14462467600*p**2 - 574","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 202 divide 2901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73 = -17*f - v, -3*f - 37 = 78*v - 73*v for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -16, -33, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 7\/36951?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(9))\/sqrt(3) + -1.\nAnswer: -3*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - 17. Suppose 0*h + h + 3 = z. Suppose 18*x - 14*x + 4 = 0. Which is the fourth smallest value? (a) h (b) x (c) -1\/6 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) + (sqrt(1331) - (sqrt(1331) + 0 + sqrt(1331))) + -4 + sqrt(132)\/(sqrt(432)*1) + 4)**2.\nAnswer: 11\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + l - 2*l)*(0 + 1 + 1)*(738*l + 445*l + 105*l - 186*l).\nAnswer: -4408*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus 94548883.35?\nAnswer: 94548878.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14b5c + -92?\nAnswer: 14aba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/(u*(u\/((u\/(u**(-1)*u))\/u))\/u))\/u)**(-6))**(-1\/10))**(-2\/67) assuming u is positive.\nAnswer: u**(6\/335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1554 + 3121. Is 14 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 5*z + 17 - 15*z + 4*z - 14 + 0*z. Determine w(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, y: 7}. Give prob of picking 4 y.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/3))**(-21)*(z**1)**16 assuming z is positive.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/84*252\/(-36))\/(175\/(-1890))?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 3*y**2)*(-14 + 2*y - y**2 + 14).\nAnswer: -3*y**4 + 6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*y, 3*y + 22 = m - 28. Calculate the highest common divisor of m and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 515\/(-225) - 398\/8955\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 5 (b) 22 (c) -2\/9 (d) 0 (e) -2\/2067 (f) -403\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - g + 4 = 0, -2*w = 3*w - 2*g - 19 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(9\/(-27))*-1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - 3*j + 7. Let c be z(5). Suppose c*s + 115 = 22*s. Calculate the remainder when 43 is divided by s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -12?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215*d - 5*x = 217*d + 26, 3*d - 3*x - 24 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -10. Suppose 20 = 2*k + m. Let d(g) = 2*g**2 + g - 1. Calculate the smallest common multiple of k and d(3).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 2*c**2 - 3*c - 8. What is the least common multiple of a(-3) and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1740676559.\nAnswer: 1740676559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bj when two letters picked without replacement from jdbjhvsds.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from asvrrvvarvs. What is prob of sequence vss?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44822533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -110 or -107?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7.266324l?\nAnswer: 7266.324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -163199 + 252096. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 4 = -0*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-3*1\/(-33)). Let u = v - -24. Suppose 4*m - 2*j = 0, -3*m + u + 5 = 2*j. Solve 3*t - 4*t = -m for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-2)*((-784)\/238)\/(-14).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 5*l + 20 - 49 = 0, -35 = -5*c + 5*l for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 295 and -11139755.\nAnswer: -11139460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 38 = 3*v, -3*v + 3*n - n = 40. Is (-2)\/v + 2139\/18 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 29*d - 1. Let c be g(-2). Let a = c - -171. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36522 * 6849.\nAnswer: -250139178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -3 - 3) + (19 - 18) - (-2 + -5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.39 - -61.09. Let o = 56 - h. What is the third biggest value in 0.2, 9, 0, o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1065967?\nAnswer: 7, 197, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -10111 (base 2) in base 9?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 875578 and -0.02578?\nAnswer: 875578.02578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2792 + 13954\/5. What is the nearest to 0 in -3\/5, 2, 21, q?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1834384690?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n - 6. Let l be v(-4). Solve -a + 6 = -l*w, -a - a = -3*w - 7 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + 5*q - 1. Let f(w) = -16*w + 20. Let d be f(1). Let b(k) = -k**2 - 6*k + 1. Calculate d*r(o) + 3*b(o).\nAnswer: o**2 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1622, 1614, 1600, 1580, 1554, 1522?\nAnswer: 1484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 12:22 AM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(560)*-1)\/((sqrt(63) + sqrt(63) + sqrt(3087)*1)\/sqrt(9)).\nAnswer: -20*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1, 104, 275, 514, 821, 1196?\n\"Answer: 34*y**2 + y - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 - 1 + 0)*(1 - 4 + 1) + (1 - 1 + 2)*(5 - 4 + 0) - 3 - 2 + 4)*(2*s - 2*s + s)*(-1030 - 356 - 385).\nAnswer: -19481*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5 + 57\/3 + -5 + 1. Suppose 0 = 12*v - q - 26. Factor 1\/5*k**v + 7\/5*k - k**2 - 3\/5.\nAnswer: (k - 3)*(k - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/7839 and -25\/3484.\nAnswer: 31356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4601425*g**2 - 32131293*g?\nAnswer: -9202850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 12) to base 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i**2 + 50*i + 195. Let m be c(-6). Sort -398, m, 4.\nAnswer: -398, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**4\/4 - 247*q**3\/2 + 5339*q**2\/4 - 6287*q\/2 + 1932 = 0. Calculate q.\nAnswer: 1, 2, 8, 483","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of -j**7\/105 - 7*j**6\/75 - 9*j**5\/25 - 2*j**4\/3 - 8*j**3\/15 + 2*j + 23. What is s in d(s) = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i*i*i**(1\/5))*i)\/i*i\/(i*(((i**(13\/6)\/i)\/i)\/i)\/i)*i*i**2*i\/i**26)**46 assuming i is positive.\nAnswer: i**(-15433\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 18 (b) 24 (c) 3 (d) 25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*y = 0, 4*y - 19 = -z - y. Let t = 12 - 17. Which is the nearest to 2? (a) -1 (b) z (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5*y - 6. Calculate v(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 135771\/(-21) - (-4)\/14. Let f be m\/(-20)*16\/(-14). Let r = -370 - f. What is the second smallest value in r, 0.3, 2\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 36, 0.2, -128.065?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3524 + 1?\nAnswer: -3523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/((t**(-1)\/t)\/t))\/t*(t\/(t*t\/((((t**(3\/5)\/t*t)\/t)\/t)\/t)))\/t*t)**(3\/14))**(-5))**2 assuming t is positive.\nAnswer: t**(6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-166)\/(-747))\/(1\/(-9))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1424477, 2848984, 4273493, 5698004, 7122517, 8547032, 9971549?\nAnswer: 11396068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 7*s**2 - s - 16. Let a(l) = l**2 - 2. Let p(t) = 24*a(t) - 3*x(t). Let b be p(-1). Solve w - 2*w + 4*y + 21 = 0, 2*w + 5*y + 23 = b for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101798 + 101798 + 4114*z**2 - 4106*z**2.\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -304 + 1267\/4. Let q be (-1)\/((-6)\/182) + 2\/(-6). Let x = q + -16. Which is greater: u or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/110*5 - 1?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 19, 3, -0.3, 1335 in decreasing order.\nAnswer: 1335, 19, 3, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4115429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72298 and 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129 is divided by 66.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.15156 or -1?\nAnswer: 0.15156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 60+917\nAnswer: 977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 988*o - 409. Let z(x) = 11. Let h(l) = u(l) - 4*z(l). What is the derivative of h(y) wrt y?\nAnswer: 988","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*p - 10 = 0, k + 0 = 3*p + 1. Suppose -2*z + z + 77 = -k*r, r = -z - 23. What is the common denominator of 58\/9 and (r\/22 - -1)*(-265)\/15?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3135 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -113242 + 4014034?\nAnswer: 3400242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -w + 9, -3*w + 13 = -3*c + 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (10 - 7) + -4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -13*y**3 - 2*y**2 - 8*y - 10. Suppose 9*d + 67 = 49. Calculate the lowest common multiple of j(d) and 18.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -555590 by -925.\nAnswer: 111118\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -0*y - 1. List the prime factors of (60 - 13) + (0 - y).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -2*m. Suppose m = 2*l + q, -2*q + 4 - 16 = -2*l. Suppose -91 + 39 = -13*j. Solve g - l*g - t + 5 = 0, 4*t = j for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 736405 * 10.\nAnswer: 7364050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**3 + 2*j**2 + 5*j - 5. Let g(c) = 3*c**3 + 3*c**2 + 5*c - 6. Let w(z) = 3*g(z) - 4*y(z). Is w(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1987*s + 481 - 23362 - 40179 = -1166*s for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 82 = 2*y, 2*y - 4*q - 33 - 29 = 0. What is the remainder when 69 is divided by y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1210.72 to the nearest 10.\nAnswer: -1210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 4*c + 5*c**2 - 5*c + 3 - 1038*c**3 + 1039*c**3. What is d(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 10}. What is prob of picking 2 a?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.7, 3\/7, 18?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21366 is divided by 5328.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -22 + (22 - 17) + 21\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11722 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 23*x - 6734 = 11*x. What is the greatest common factor of x and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 613697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-60)\/40*(-38)\/3. Which is the second smallest value? (a) 3 (b) g (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ikkkkukiikkip. What is prob of sequence kiup?\nAnswer: 7\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 71 = -0*a + a, -3*a - 3*j + 210 = 0. Does 23 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 225 in 2, 0, 36905?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45 + -35. Is 11 > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8\/379 + -19358\/19329. Let g = 293\/396 + -55\/36. Find the common denominator of g and p.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/(-2)*(-252)\/54. Put 5, 3, 2, z in decreasing order.\nAnswer: 5, 3, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -1 + 3 - (-7 - -11)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40 - 5*w**3 + 7*w**2 - 573*w**4 + 1781*w**4 - 227*w**4 + 5*w**3 wrt w?\nAnswer: 23544*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7820 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6966375 to the power of 1\/2, to the nearest integer?\nAnswer: 2639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of 0*a**4 + 0 + 1\/12*a**5 + 7*a**2 + 0*a**3 + 0*a - 1\/60*a**6. Find the third derivative of v(x) wrt x.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cvlzlzqllezz. Give prob of sequence zqzl.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b - 9*b = 15 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1305992 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -36563 or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m + 11. Let u(h) = h**2 - 2*h - 1. Let k be u(2). Let q = k - -2. Calculate the remainder when q is divided by d(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22030426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 156 or 464\/3?\nAnswer: 464\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.561698 rounded to 1 decimal place?\nAnswer: -4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 7*w**2 - 2*w - 2. Calculate b(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145798232.\nAnswer: 2, 18224779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157 = -5*g + 2*h, 2*g = h + h - 58. What is the tens digit of 2030\/3 + -1 - (-22)\/g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 + 22*o + 7. Let g be i(21). Let d = g + -23. Solve -d*r + 5 = -5 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 435668 is divided by 21697?\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b + 13 + 9*b**3 - b**2 - 5*b**3 - 5*b**3. Calculate the smallest common multiple of 1 and d(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k + n + 10, -2*n + 11 = 3*k + 6 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence youv when four letters picked without replacement from euvyeveyeduvvoy.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14006 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-2) - (0 - -2). Suppose -2*i - 17 = -h*q - 121, -3*i - q = -144. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 206454 and 30.\nAnswer: 1032270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*z + 5*k, 3 - 5 = 2*k. Suppose z*h - 560 = h. What is h rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 5:48 PM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1268)\/(-6)*(-30)\/(-20) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 276685?\nAnswer: 5, 55337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 2:10 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 922 is divided by 84.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 79190 and 20?\nAnswer: 158380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 84, 172, 260, 348?\nAnswer: 436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -3*s + 8. Let u(j) = -3 + 5 - s*j**3 + 3*j**3 + 5*j**2 - 2*j. List the prime factors of u(-5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3929 + 7506. List the prime factors of 4\/18 - l\/(-63).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 130883, 130892, 130907, 130928, 130955, 130988, 131027?\n\"Answer: 3*b**2 + 130880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h - 7. Let b(z) = 20*z - 36. Let c(l) = -2*b(l) + 11*p(l). Find the first derivative of c(u) wrt u.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 3*f + 5 + 26, 3*m = -3*f + 69. What is the smallest common multiple of m and 17\/1 + (18\/9)\/2?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3681?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 202482812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.5 - 6. Let z = p + 1. Let k = z + -1. Which is the third smallest value? (a) 1\/3 (b) k (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670.678328 rounded to one dp?\nAnswer: 670.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -865.938 + -1260\nAnswer: -2125.938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 6*x**2 + 3*x + 7. Let g be l(5). Let z be (-2)\/(g - 885\/(-297)). Calculate the greatest common factor of z and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((25\/350)\/(2\/96))\/((-192)\/(-672)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -c**3\/3 + 16. Let o(q) = 2*q - 4. Let v(a) = -2*a + 3. Let i(f) = 3*o(f) + 4*v(f). What is y(i(u))?\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 1018*p - 8056. Determine d(8).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3*y - 2 - 2 + 18*y**2 - 2. What are the prime factors of r(3)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 73, -1\/3, 525?\nAnswer: 525","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 11\/10, -20, 49\/4?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((3*sqrt(45))**2 - sqrt(45)) + -5 + -4*(sqrt(5) + 1).\nAnswer: -2034 + 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 168.9926 - 169. Let l = 8.0074 + z. Sort 4\/9, l, -0.3 in ascending order.\nAnswer: -0.3, 4\/9, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 107 by -107.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 11 - 3*a**2 + a**3 + 2 - 12. Let o = 2 - -1. Let i be z(o). Solve -i = -3*q - 13 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*y - 25 = 71 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 - 5*m + 7. Let d be q(-6). Let t(i) be the first derivative of -5*i**4\/4 + i**3\/3 - 1. Determine t(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 = -3*h + p + 39, -5*h = 5*p - 260. Suppose -388*u + h = -387*u. What is the remainder when 127 is divided by u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2b9 - -d?\nAnswer: -2ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 3277 = -107. Does 22 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -69*h + 18. Let s(x) = 46*x - 11. Calculate 5*m(o) + 8*s(o).\nAnswer: 23*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1115\/2 - 545. Let t = -12 + u. Find j such that -1\/4*j**2 + 1\/4 - t*j + 1\/2*j**3 = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + 11*n + 32. Let b be f(-10). Calculate the greatest common factor of 44 and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-320)*66)\/((-57)\/76)?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of n**7\/8820 - n**6\/1260 - n**5\/140 + n**4\/24 - 3*n**2. Let y(r) be the second derivative of b(r). Factor y(c).\nAnswer: 2*(c - 3)*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(4\/9)*m)**(1\/2)*(m**(2\/13))**(-37) assuming m is positive.\nAnswer: m**(-523\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -810c (base 13) in base 5?\nAnswer: -1032012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 73*l + 4. Let o(n) = -146*n - 7. Let q be 20\/14 + (40\/(-28) - -2). Let a(m) = q*o(m) + 5*d(m). Differentiate a(b) with respect to b.\nAnswer: 73","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 730298330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10637206673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*z - 4 = 0, 7 - 3 = 5*p - 4*z. Suppose 5*f = -4*n - 7, 0 = f - 0 + 3. Suppose 0 = -n*w - w + 4*k + 8, 4*w = 3*k + 6. Solve -3*a - 5 - p = w for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -361 divided by 143\nAnswer: -361\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 0*l + 20 = 0. Suppose l*x = 3*n - 1, 5*x - n + 4 = n. Let j(t) = 3*t + 3. Determine j(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - 5*(sqrt(57)\/sqrt(3) - sqrt(19) - sqrt(19))**2) + 0 + -1*sqrt(19).\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -10 + 0*n - 3*n + 1. Let u(c) = -9 + 15 - 7. Let j(i) = 12*u(i) - w(i). Determine j(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fzfzlzrezfhfz. What is prob of sequence rhel?\nAnswer: 1\/17160","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/4)\/m)\/(m\/(m\/m**(-1\/15))))**33\/(m**(-5\/4)*(m**10\/m)\/m)**(-16\/3) assuming m is positive.\nAnswer: m**(269\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4494106 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 562705747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 96 = -4. Let t be (11\/(-3) - 3) + 2\/3. Let o be (-30)\/(-45) + v\/t. Solve 0*p = o*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 1\/2*l**2 + 0*l + 0 - l**3 + 1\/2*l**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 + 6)*(-20)\/(-8). Let x(v) = 2*v - v - 2*v + o*v. Calculate x(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 400 = -5*r, 0 = 74*i - 77*i + 7*r + 1134. Solve 133 = i*f - 404*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.197 + 17.803. Let c = m + -18.0000001. What is c rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3743.99965 - 3745. Let s = -4.9 + 3.9. Let o = s - h. Round o to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -14*n + 5. Let s(b) = 3*b - 1. Let p(x) = -4*s(x) - y(x). Let d(w) = -40*w + 25. Let o(m) = -d(m) - 25*p(m). Let j(g) = -5*g**2. Determine o(j(q)).\nAnswer: 50*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4903 - 4644. Is 29 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 4. Suppose k + i = 3*k. Factor 0 + 0*g - k*g**2 + 6*g - 4.\nAnswer: -2*(g - 2)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a + 4*v + 50, 42969*v - 42973*v - 365 = -23*a for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3848.061kg to tonnes.\nAnswer: 3.848061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 176*a + 69166. What is n(-393)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l - 178. Let o(u) = -16*u. What is g(o(h))?\nAnswer: -48*h - 178","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1007807771 to the power of 1\/2, to the nearest integer?\nAnswer: 31746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 4:31 AM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 68, 62, 56, 50?\n\"Answer: -6*m + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27467351965 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 78 = -h, -4*h = -5*w + h + 90. Let z = w + -18. Solve 2*i = -z*i + 16 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25019441911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -1 - 5. Let t be (14\/42)\/(1 + 16\/(-18)). Let r = -1 - -6. What is the nearest to i in t, r, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 a when three letters picked without replacement from {r: 7, a: 12}.\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 64126.70853 to the nearest one thousand.\nAnswer: 64000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -331, 2, -5, -13, -440 in decreasing order.\nAnswer: 2, 0, -5, -13, -331, -440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sgguouyuussosogodgg. Give prob of sequence gus.\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 53, 16, 30, -3, 18, -1 in increasing order.\nAnswer: -4, -3, -1, 16, 18, 30, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/9)\/(1\/(-3)). What is the common denominator of 2\/5*335\/28 and 43\/(-4) - g\/2?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-35)\/(-3) - 14\/21. Let x = w - 7. Let f = x - 0. Solve -f*y - 5 = -21 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.038 + -1.038. Let g = -3 + 7. Which is the closest to -3? (a) q (b) 3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 195*n + 478 - 478 - 204*n.\nAnswer: -9*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-4)*(-2)\/(3\/(-3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, h: 3, a: 1}. What is prob of picking 1 h and 1 s?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 4:52 PM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z**2. Let v = -2 + -28. Let r = v - -32. Let t(a) = a**2 - a**r - a**2 + 6*a**2. What is j(t(o))?\nAnswer: 75*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (215\/(-1935))\/(((-1)\/10)\/(10 - 3972\/390)).\nAnswer: -8\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from crcccccc. What is prob of sequence rc?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 2*w - 3 + 3 + w + (-w + w + w)*(1 + 0 + 0) - 48 + 48 - 17*w.\nAnswer: -13*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*k**2\/2 + 115*k\/2 + 9.\nAnswer: -(k - 9)*(13*k + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2217025286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6217 + 15443. Is 12 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 144917610*k**3 + 34222983*k**2 - k.\nAnswer: 869505660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 7, -5, -2, 18, 1 in decreasing order.\nAnswer: 18, 7, 1, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -126, -130, -138, -150, -166, -186?\n\"Answer: -2*q**2 + 2*q - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 11:22 AM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -655, -2632, -5927, -10540?\nAnswer: -16471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 7:42 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 7:15 PM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - w = -19, 0 = t - 20*w + 23*w - 2. Let c be 6*(9\/6)\/3. Solve 0 = t*k - 15, -g - 5 = -c*g + k for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-11))\/(-34 + 6). Let l = j - 191\/231. What is the common denominator of 0 + 2*(-9)\/66 and l?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1478 + 0.1478. Let w = -0.1 - -0.4. Let z = w - -0.2. What is the third biggest value in i, 3, z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6126, 6083, 6012, 5913, 5786?\nAnswer: 5631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-126)\/(-28))\/((-5)\/10). Let c(b) = b - 19. Let k(w) = -3*w + 37. Let a(t) = -5*c(t) - 2*k(t). What is the tens digit of a(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67420521?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 63*1 - (0 - 1). What is the units digit of (1*-1)\/((-8)\/b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 517469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -497493 < -3979943\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00285478 to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1243*b**4 - b**5 + 104*b**3 + 3642*b**2 + 2487*b**4 - b**5 - 1243*b**4 wrt b.\nAnswer: -120*b**2 + 24*b + 624","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j, -16 = 41*l - 37*l + j for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -2. Let q = 2 - p. Is q*-6*(-2)\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8869744 smaller than 8869740?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/2*z**4 + z + 0 + 9\/2*z**3 + 1\/2*z**5 - 7\/2*z**2.\nAnswer: z*(z - 2)*(z - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115504*v + 115504*v + v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(9\/4)\/j*j**13\/j)\/(j**(-1\/2)\/(j**(-3)*j)))**(-5\/18) assuming j is positive.\nAnswer: j**(-235\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45*t - 157 - 41*t + 133*t - 46*t to y*t + x and give x.\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.232 - -5.232. What is the second biggest value in -3\/5, h, -1\/6, -4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r - 3. Let q be l(-6). Let c = 23 - 11. Suppose -3*i = i + c. Sort 5, q, i in descending order.\nAnswer: 5, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -4*v**2 - 3*v - 12. Let h(z) = -z**2 - 1. Let o(m) = g(m) - 5*h(m). Let y be o(5). Suppose -4*w = 2*f + 2*f - 584, -450 = -y*w + f. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -253*g + 314747. Is b(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 62 - 47. Sort 13, 0, r, -2 in descending order.\nAnswer: 13, r, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 24 = 4. Suppose 0*x + 10 = 2*x - b*u, 0 = 5*u + 5. Suppose -447 = -x*s - 2937. What is s rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -4*j**2 - 2. Let n(a) = -17*a**2 - 3*a - 11. Let u(d) = 4*c(d) - n(d). Suppose 5*x + 2*s = -37, 4*x = -0*x - s - 29. Let b = x - -4. Determine u(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2*d**4 + 24*d**3 + d + 2 - 8*d**3 + 2*d**2 - 6 + 29*d**3 to n*d + t*d**2 + y*d**4 + q*d**3 + m and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3\/8 + (2\/(-4) - (-4841850)\/208)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 480 = y, i + 1868 = 4*y + 4*i. Let p = 469 - y. Let q = 13 + -8. Solve q*k - p*r + 23 + 7 = 0, 2*r = 5*k + 24 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -2*w - 34, 491*w - 2*c = -490*w + 984*w + 3 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 687081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7461.\nAnswer: 3, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l**2 - 2*l**2 - 4*l**2 - 48.\nAnswer: -l**2 - 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 + 19*a - 38. Let c be z(17). What is the tens digit of 208\/(-24)*30\/c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7517, -61737, -209399, -497225, -971937, -1680257, -2668907, -3984609?\n\"Answer: -7787*q**3 + q**2 + 286*q - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 951384383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (11 - (5 - 4)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n - 3*n + 0*n - 2 + n + 2 + (1 - 1 + 1)*(-2*n - 3*n + 3*n) + (n - 3*n + 0*n)*(0 + 1 + 0).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + 6*w + 4. Calculate g(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - 26\/(-39)*-24?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j. Let t(s) = 1487*s. Determine t(c(u)).\nAnswer: 2974*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 9*q**2 + 2*q - 1. What is the units digit of u(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52167141?\nAnswer: 3, 13, 19, 31, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + n - 3687 + 1227, 0 = -5*n - 30. Is 31 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 8:22 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 4*w**2 - 11*w + 22. What is u(3)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 118 - 6. Suppose -4*i = -b - 264. List the prime factors of i.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*v = -19*v - 4*y + 2, 0 = v - 4*y + 5. Find the second derivative of -1 + 4*a**3 + a**3 + 187*a - 97*a + 16*a**4 + 0*a**v wrt a.\nAnswer: 192*a**2 + 30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**3 + o**3 - 2*o**3 - o - o**3 + o + (-o - 1 + 1)*(4*o**2 - 5*o**2 - o**2) + 2*o - 281 + 32*o**3 + 281 + 0*o + 0*o + o**3.\nAnswer: 31*o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.39, 3, 1, -69029 in decreasing order.\nAnswer: 3, 1, -0.39, -69029","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 317819 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -181*f**3 - 2 + 6*f - 50*f**3 + f**2 - 6*f. What is the units digit of j(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 861429?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wq when two letters picked without replacement from wkkkkwwqwqkkk?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -a**3\/3 + 13*a**2\/2 - 8*a. Let i be d(8). Suppose -7 + 5 = f. Which is smaller: i or f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (150\/(-16))\/3*60\/150.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 5*g = 30 + 80, 0 = -4*t - 5*g + 92. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 (base 10) in base 12?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.1, -1.3, -2, 0.02?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 l when two letters picked without replacement from bzbzzblzalfzfzbzbz.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77143164.\nAnswer: 2, 3, 7, 918371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1122012022102 (base 3) to base 9\nAnswer: 1565272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -123 - -1210033011?\nAnswer: 1210032222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6221 is divided by 1551?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of b**3\/3 - 11*b**2\/2 + 11*b - 1588. Calculate s(8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/s**4*s*s**(-1\/7)*s*s**(-6\/7)\/s**2 assuming s is positive.\nAnswer: s**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 440021525?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1849*y**6 + 808*y**2 - 291*y**6 + 1304*y**6 wrt y.\nAnswer: 343440*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of 2*f**6 - 11*f**2\/2 + 7. What is the second derivative of i(m) wrt m?\nAnswer: 240*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5395553637?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -386?\nAnswer: 77.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -872 - -1287. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63689 is divided by 15918.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.2, 0, 3795, -35, 2\/7 in descending order.\nAnswer: 3795, 4, 2\/7, 0.2, 0, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -70*s + 72 + 73*s - 72. Let w(b) = 305*b**2. What is w(u(n))?\nAnswer: 2745*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1008 and 480312.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 4*j - 5262 + 5274, 0 = 5*k + 20 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2478 is divided by 610.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)*4*-6 + (-2 + 2 + sqrt(3) + sqrt(3) - sqrt(3))**2 + -2.\nAnswer: -72*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.1, -0.3, -23\/5 in ascending order.\nAnswer: -23\/5, -0.3, -0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*m + 32*m - 110. Let i(w) = -4*w**2 - 2*w + 6. Let t be i(0). Let l(h) = h**2 + 4*h + 1. Let y be l(-3). Sort 0, m, t, y.\nAnswer: y, 0, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of 0*s**5 + 0*s**2 + 1\/3*s**3 - 3 + 0*s**4 + 5\/6*s**6 + 0*s. Find the third derivative of k(j) wrt j.\nAnswer: 300*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.04 - -0.44. Let t be (-40)\/(-96) - 1\/3. Let u = -0.02 + -0.08. What is the closest to u in t, o, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s**3\/9 + 850988*s**2\/9 - 425476*s\/3 - 425488 = 0.\nAnswer: -3\/2, 3, 106372","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - (-2 + -1))\/1. Let t be i\/4*(-3 + 9). Suppose 160 = 8*a - t*a. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wglwh. Give prob of picking 1 h and 1 w.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 342 is divided by 114.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 9)*(-1)\/(-6).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -121 bigger than -18032\/149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 1 = 71. Suppose 0 = k + 3*k. Suppose -5*i + 9 + 16 = k. Solve i*m = 7 + n for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(((sqrt(2736)*-2 - sqrt(2736)) + sqrt(2736) + sqrt(2736) + 3)*6)**2 + 0 + -4)*-4.\nAnswer: -790544 + 20736*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.02 - 0.02. Let q = 11.51 + -0.31. Let w = -11 + q. What is the closest to 1\/5 in b, w, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 686539 - 20?\nAnswer: 686519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6222, 9272, 12320, 15366?\n\"Answer: -q**2 + 3053*q + 3170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 - s**2 + 6 - s**2 - s)*(36*s**2 + 3*s**2 + 10*s**2 + (-4 + 4 - 2*s)*(3*s - s - 4*s)).\nAnswer: -106*s**4 - 53*s**3 - 424*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 44. Suppose -5*b + 17 = -v. What is the smallest common multiple of b and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 5*u + 4 + 1, u + 4*b = -17. What is the third derivative of -88*m**3 - 3*m**2 - 9*m**5 + 88*m**u wrt m?\nAnswer: -540*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2253?\nAnswer: 3, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 61, 3, -23, -3 in increasing order.\nAnswer: -23, -4, -3, -2, 3, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 371, 1557, 3529, 6281, 9807, 14101, 19157?\nAnswer: 24969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 170\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 39.47056051 + -0.4\nAnswer: 39.07056051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1736\/(-14136)*2\/(-14)*3.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 24*y**2 - 16*y + 357. Calculate f(-23).\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159160 is divided by 730.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3232 - 1?\nAnswer: -3233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/3 and 23\/52.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of -w**5\/15 + w**2. Suppose 2*i - 5*i + 6 = 0. Let s(d) = -2*d**2 + 1 + 0*d**i - 1. Calculate s(n(g)).\nAnswer: -32*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - 19) + -3 - (-5 + 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 128524657 a multiple of 725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 235 - 235.5. What is the third biggest value in -22, g, 3, 4\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u = 6*u - 4*u. Let i(x) be the second derivative of -1\/12*x**4 - 1\/3*x**3 + u*x**2 + 0 - 5*x. What is the second derivative of i(n) wrt n?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1641150 by -63.\nAnswer: -26050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 22 - c7?\nAnswer: -a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -277, 0, -43, 3 in descending order.\nAnswer: 3, 0, -43, -277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*w - 176*w**2 - 1629 + 47*w - 25*w - 975 + 175*w**2.\nAnswer: -w**2 - w - 2604","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -t**3\/6 + t**2\/2 - t. Let c(y) = -y**3 + 9*y**2 - 21*y + 2. Let o be c(4). What is p(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(99))*5 + 5 + sqrt(99) + sqrt(99) + -3 + 4 + sqrt(99) + 3)**2 + 5 + 0.\nAnswer: 672*sqrt(11) + 6537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 1225*h - 45 = 1230*h, -5*h - 27 + 12 = 3*q + 25 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (-3 - (3 + 1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5619 - 5611. Solve -4*b = -12, g - 2 = 2*b - k for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 29334 - 5984. Suppose 27*v - 24650 = -n. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 23*t + 2. What is the remainder when o(1) is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccjjbbccjcbmc. Give prob of sequence bm.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 8*u**2 - 9*u - 5. Let b be p(-7). Let d be b\/(-6)*2\/(-1). Solve 0 = d*n - t + 2*t + 20, t = 5*n + 20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.121 * 0.2\nAnswer: -0.0242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 6:17 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8254.56mg in nanograms?\nAnswer: 8254560000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of 11*g**5\/20 + 101*g**2\/2 - 110*g + 2. Let t(q) be the first derivative of x(q). Let c(s) = -5*s**2. What is t(c(d))?\nAnswer: 825*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 2 + 64*g - 204*g**3 - 2381365*g**2 - 2 + 2381197*g**2 + 28*g**4 = 0.\nAnswer: -1, 0, 2\/7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/75*(-3)\/6 and 1\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*-1*34\/1598.\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 150 + -56. Let d be p\/(-18) + 6\/27. Let g = -2 - d. Which is the smallest value? (a) g (b) 0 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*k = 276, 4*a + 2*k - 710 = -154. Solve a*m = 146*m - 18 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -3*b**2 - 2*b + 2. Let j(c) = -75*c**2 - 51*c + 51. Determine 6*j(d) - 153*v(d).\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 447666336 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30990 - -821. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (222 - 222 - 65*q)*(3*q**4 + 6*q - 6*q) + 2*q**5 + 2*q**2 - 2*q**2.\nAnswer: -193*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -7*c - 6*c. Let l be (19 + -19)\/(0 + (-4 - c)). Do l and 60 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/(-54))\/(2\/3). Suppose -2*h = 3*i + 4, 0 = 5*i - 5*h - 43 + 8. Which is the closest to 3\/10? (a) l (b) 5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 13 + 6*i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3444, -3436, -3424, -3408, -3388, -3364, -3336?\n\"Answer: 2*a**2 + 2*a - 3448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 42, -6, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1044)\/120)\/(-29) - (882\/(-60) - 18).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61469.\nAnswer: 61469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 498491997.\nAnswer: 3, 31, 5360129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -124695 divided by -24939.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 3089\nAnswer: 7\/3089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-13)\/286)\/((-9)\/((-72)\/16)). What is the nearest to -2\/5 in -5, 11, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -280*v + 63. Let x = 3434 + -3436. Let k(g) = 9*g + 2. Let d(j) = -1. Let z(y) = 4*d(y) + k(y). Determine x*h(t) - 63*z(t).\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x + 0*x + 2*x + (-3*x + 0*x + 2*x)*(3 - 3 + 2) + 7*x - 26*x + 5*x - 1 to the form h + o*x and give o.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 9, 30, 73, 144, 249, 394, 585?\n\"Answer: w**3 + 5*w**2 - w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122885 is divided by 28826?\nAnswer: 7581","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 195079317.57000071 - 195079316. Let j = 0.157 - -1.413. Let m = g - j. What is m rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 + 18. Let i = -4.6 - -2.6. Which is the second biggest value? (a) 3 (b) d (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 6*i**2 + 6*i - 2. Let h be t(-7). What is the second biggest value in 2\/7, h, 9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 + 10. Let x = -5.98 - f. Let z = -2.02 + x. Which is the nearest to z? (a) -2\/19 (b) 0 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -14*q**4 - 3*q**3 + 3*q - 3. Let a(o) = -15*o**4 - 4*o**3 - o**2 + 4*o - 4. Let j(w) = -3*a(w) + 4*y(w). What is the third derivative of j(k) wrt k?\nAnswer: -264*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/97539 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 PM and 7:55 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 172 and 4?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1925)\/(-49) - 4\/14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 42*q**2 - 31*q - 304. Let z be g(42). Let t be 4\/(-34) + z\/(-935). Let 0*n + 1\/5 - 6\/5*n**2 - t*n**3 - 3\/5*n**4 = 0. Calculate n.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 122*n + 3647. What is a(53)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64\/(-12)*(-140)\/8*(-1737)\/(-8685)?\nAnswer: 56\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 - 6 = 12*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 - 4*j - 3. Let v be o(4). Let y be ((-1)\/(-2))\/(v*2\/(-108)). Let f be 108\/16 - (0 - y\/(-12)). Let p(r) = r**2 - 5*r - 5. Give p(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 times 1\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 5*b - 2*u, 3*u - 4*u = -2*b + 9. Suppose -5*n - 2 = i + b, 3*i - 2*n = 10. Suppose 2*m - 4 + 0 = 0. Solve 3*z - 23 = i*o, 2*z = -4*o - m - 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3*k**2 + 1. Let v(m) = 10*m**2 - 2*m - 182. Calculate -v(p) + 4*w(p).\nAnswer: 2*p**2 + 2*p + 186","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 1035.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 6. Let r(b) be the first derivative of -2 + 1\/14*b**4 + 8\/7*b**l + 10\/21*b**3 + 8\/7*b. Let r(y) = 0. Calculate y.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 373286267 a multiple of 436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand c + 1247*c**3 - 1080*c**3 + 0*c + (3*c**2 - 4*c**2 + 2*c**2)*(7*c - 7*c - c).\nAnswer: 166*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 71642 (base 9) to base 8\nAnswer: 134114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1479\/109 < 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -260, 56, 5 in increasing order.\nAnswer: -260, 5, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 4, 45, 1 in ascending order.\nAnswer: -1\/5, 1, 4, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1107473 + 1105792 + 3*s**3 - 2213265.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2117 times 2628?\nAnswer: 5563476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4351 - t**2 + 4351.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (-14)\/(-18) + -1 - (-117460)\/126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0191 and 12.8.\nAnswer: 12.7809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8145 - -8165. Solve 9*p + i*p = 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.12? (a) 0.1 (b) 69 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3852 and 252.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2856 = -24*i. What is the greatest common divisor of i and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 392272?\nAnswer: 1961360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 64627 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2295, -2385, -2475, -2565, -2655, -2745?\nAnswer: -2835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/((r**(-2\/13)\/r*r)\/r)))\/(r\/(r**(2\/3)\/r)))\/(r**(4\/5)\/((r\/(r\/(r\/r**19*r)))\/r)) assuming r is positive.\nAnswer: r**(-4151\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6030951 is divided by 6030927?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0963378 centimeters in millimeters?\nAnswer: 0.963378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 15, -43, 19 in increasing order.\nAnswer: -43, 1, 15, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y + y - 2*y - 2*y + 2*y - 2*y + (-1 + 1 - 1)*(2*y + 3 - 3) - 2*y - 2 + 2 + 2*y - 3*y - y + 4*y + 0*y - 5*y + 1 - 4*y + 0 + 1 + 2*y - 5*y + 6*y.\nAnswer: -8*y + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k + 2. What is f(-6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24937 + -23421936.\nAnswer: -23396999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-d + d + d)*(-3 + 1 + 0) - 12 + 12 + 85*d)*(-2 - d + 2) to w*d + o*d**2 + n and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1265 - -7595\/6. Let w(z) be the second derivative of -1\/5*z**5 - 8*z + 0*z**2 + 0 - y*z**3 + 0*z**4. What is the second derivative of w(v) wrt v?\nAnswer: -24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1631 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11134850 + -11134849.50000155. Let l = 0.5 - m. Round l to 7 decimal places.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17305 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2539.588 millimeters in kilometers?\nAnswer: 0.002539588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/10 - (-13)\/5. Suppose -h = p*h - 16. Suppose -4*x - h*n = -0*n - 60, -4*x - 5*n = -58. What are the prime factors of x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 - -3173278?\nAnswer: 317327e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10567\/5 - 2113. Is c at least -5.09?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21448 - -1801721\/84. What is the common denominator of g and -119\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 7*d**2 + 7*d - 14. Let b be s(4). Let x = 13 + b. Let m = 1 - -49. What is the greatest common divisor of x and m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/8)\/((-9)\/(-2)). Let q = -2\/107 - -220\/321. Let b = w + q. What is the closest to b in -0.5, -2\/15, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15\/9 + (-2)\/(-6). Suppose p + 4 = t, -t + 9 = -0*t + 4*p. Suppose 5*u - 18 = -4*y, -t*u + 5*y + 36 = -9. Solve i*b + b = u for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/2 + (-12)\/6)*30. Let p be (3 - 1)*c\/4. Find the third derivative of 11*f**2 + 11*f**2 - 6*f**2 + p*f**3 + 3*f**2 wrt f.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -3 (c) -8 (d) 13428\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8498665 is divided by 3550?\nAnswer: 3515","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**3 - 87962 + 175889 - 88053.\nAnswer: 2*k**3 - 126","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -928*d + 926*d = -8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of -m**7\/840 - 3*m**4 + 61*m**3\/6 - 89*m**2. Let y(h) be the first derivative of v(h). Differentiate y(z) with respect to z.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**1*t)\/t**0)\/(t\/t**(2\/5))**(-26\/5) assuming t is positive.\nAnswer: t**(128\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 170 and 8078587?\nAnswer: 80785870","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-5686)\/(-4) + ((-589)\/(-38))\/(-31))*1. Calculate the highest common factor of 2639 and l.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2043 - 1321?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 a when two letters picked without replacement from rrkrraarga?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 24 = 381*c - 378*c, c + 8 = 0. Which is smaller: 10\/39 or n?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.55 - 0.05. Let l be (5\/90)\/((-1)\/(-4)). Which is the nearest to -0.6? (a) -0.3 (b) l (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11573941 divided by 50\nAnswer: 11573941\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = y - 5*l + 2062, l = -2. Let z = y + 359. Let r = z - -243. What are the prime factors of r?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 - 17. Let p = -167 + 167.5. What is the nearest to 0 in y, p, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3818?\nAnswer: 2, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1304?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -918 + 20201\/22. Let c = -22073023\/12 + 1840821. Let i = 1410 - c. What is the common denominator of z and i?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1440)*-2)\/sqrt(2) - (sqrt(15)\/sqrt(12) + sqrt(125) + 2)) + 2)**2.\nAnswer: 17405\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.70512 to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141203 is divided by 574?\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 1 = -5*w - 0, 0 = -5*x - 2*w + 26. Suppose -4*j + 7*j = -m + 1, -3*m + 3*j = -27. List the prime factors of m\/((-7)\/(-74)) + x.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*b - 8 - 127. Suppose 3*n - b*g + 1 = 16, -4*n = -g - 37. What is the remainder when 46 is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**2 - 12030*z - 7236045.\nAnswer: -5*(z + 1203)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, g: 2, j: 1, k: 2}. What is prob of sequence jg?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vfwvvwvfyz. What is prob of sequence zvwv?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 77*w**2 + 43*w - 4. Calculate j(-1).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 9*f - 27 = 0, -3*w = -93*f + 92*f + 3 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/27 and 37\/2169?\nAnswer: 6507","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, j: 5, e: 1, p: 4}. What is prob of sequence ee?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 11 = -s, -4*s + 77 = -79*t + 76*t. What is the remainder when 966 is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 12:27 AM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/(-2) - (-1)\/(-2). Let h(d) = -d**3 + 6*d**2 - 4*d - 2. Calculate the remainder when (-1 + 3)\/(5\/195*3) is divided by h(n).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2*m = -0*a - 12, 5*a + 3*m + 46 = 0. Sort -5, a, -1 in descending order.\nAnswer: -1, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-16) - 7\/28?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 212.303 - 212. What is i rounded to 2 dps?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 400 is divided by 133.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 18*p - 70. Let u be g(-6). Solve u*y + y = -y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120074 - 2?\nAnswer: -120076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16152251?\nAnswer: 61, 264791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 11, 1, 8.\nAnswer: 1, 2, 8, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/720 and 149\/12120?\nAnswer: 72720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221413?\nAnswer: 221413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1452.4497 hours?\nAnswer: 60.5187375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -21, -29, -57, -93, -125, -141, -129?\n\"Answer: 2*i**3 - 22*i**2 + 44*i - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-192)\/(-216)*(-18)\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 432604465 to the power of 1\/3, to the nearest integer?\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q + 5*q + 3*q + 4*q + 83 + 0*q. Let p be a(-10). Let w = -2 + 4. Put -1, w, p in decreasing order.\nAnswer: w, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -2606?\nAnswer: -2610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15144 and 12770178?\nAnswer: 3786","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = b, 0 = -3*f + 5*b - 50 + 62 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*y = -24*y + 60 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 7*k**4 + 17*k**3 - 17*k - 15. Let q(o) = 2*o**4 + 6*o**3 - 6*o - 5. Let y(b) = 6*m(b) - 17*q(b). Find the first derivative of y(v) wrt v.\nAnswer: 32*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -73430.39947 - -73437. Let u = -6.6 + n. Round u to 5 dps.\nAnswer: 0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -67*u**4 + 3*u**3 - 3*u - 16100 wrt u.\nAnswer: -268*u**3 + 9*u**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 15. Suppose r = -4*d + 21, 3*d + 4*r = 16 + 3. What is the lowest common multiple of d and 2 + (-28)\/p*1?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 124017 and 402?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-79)\/(7189\/(-26)))\/((-12)\/147*-5).\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 55\/32 equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + 4)*-4 + -3 + 4.\nAnswer: -32*sqrt(5) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/4))**(-2\/55)*l**1\/((l**(-2\/3)*l*l)\/l))**(-40) assuming l is positive.\nAnswer: l**(-892\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**5*c**(-4) assuming c is positive.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -10. Let a(m) = 4 + 14*m + m**2 + 21 + 6 + 4. Let c be a(-5). What is the second smallest value in 5, c, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 4*f**3 - 2*f**2 + 3*f - 2. Let l be v(1). Suppose 216 = 5*t + 2*j + 28, -3*j = l. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of 0 + 1\/48*y**4 - 1\/120*y**6 + 0*y**2 + 1\/80*y**5 - 1\/168*y**7 + 3*y + 0*y**3. Factor w(k).\nAnswer: -k**2*(k - 1)*(k + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 791194 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -7*a - 4. Let n(c) = 8*c + 5. Determine -2*n(j) - 3*r(j).\nAnswer: 5*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -4. Let r(m) = 2*m**3 - m**2 + 1. Let y be r(b). What is the derivative of 4*g**3 + 0*g**3 + y*g**4 + 3 - 4*g**3 wrt g?\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -838737 or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36663 by 3.\nAnswer: 12221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1081 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -35 + 37 + 2*-2. Which is the third biggest value? (a) 5 (b) n (c) -4 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 1 (b) -4 (c) -0.4 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5440, 10879, 16318?\n\"Answer: 5439*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (17 - (-12 - -4)) + -15\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j**3 - 149*j**2 - 1505*j?\nAnswer: -12*j - 298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -5*q - 5*c, 2*q + 23 = 3*q + 5*c. Let l(g) = -3*g + 1 + g - 8. Calculate the remainder when q is divided by l(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 61*w. Let s(r) = -r**2 - 31*r. Let p(g) = 4*m(g) - 9*s(g). Factor p(u).\nAnswer: 5*u*(u + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 8888\/(-740) - (-25*(-51)\/85 - 4).\nAnswer: 2\/185","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of t**4\/2 + t**3\/3 - 7*t - 18. Let k(b) = -1. What is j(g) - 5*k(g)?\nAnswer: 2*g**3 + g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -2\/11 (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 4*l - 2, -l + d = 2 - 1. What is g in -247*g**l - 116*g + 113*g**2 + 120 + 130*g**2 = 0?\nAnswer: -30, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.42 + -7.22. Let s = 4 + q. Let i = -3 - s. Is i greater than -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -6. Let m = -7\/5 + h. Let p be -8 + 5 + (-35)\/(-11). What is the closest to m in -0.5, p, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c - 3. Let d be l(5). Let p(i) = i + 0*i**2 - 2*i**d - 2*i**2 + 3*i**2. Determine p(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1106 - 5453?\nAnswer: -6562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 3:12 PM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5.241 in 3, -30, 8, 7\/6, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/32 and (5\/((-800)\/(-8)))\/((-54)\/75).\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74397469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of -q**5\/360 - 59*q**4\/144 + 943*q**3\/18 - 5376*q**2. Factor x(h).\nAnswer: -(h - 23)*(h + 82)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/3665 + -8341\/3705315. What is the second smallest value in 3\/4, v, -0.4, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of 3*f**4\/4 - 13*f. Let g(y) = y**2. Calculate m(g(i)).\nAnswer: 9*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 6. Let c be 0 + r + 1092\/6. Let t = c - 129. Calculate the greatest common factor of 22 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**1)*a**(2\/69))**(-3) assuming a is positive.\nAnswer: a**(67\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 7 - 1)*(-15 - 7 + 1)*(-4*q + 2*q - 2*q) to the form b*q + x and give b.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/11, -265567, -2, 5?\nAnswer: -265567","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*p**4 + 15*p**3 - 35*p**2 - 15*p + 10 = 0. What is p?\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, 1, 3, -17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4*(1 + sqrt(2)) + 5 + 1.\nAnswer: 5 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5 = -3*a, 20 - 7 = 5*f - 3*a. Let s = -5 + 9. Let t = s + -1. Solve -f*b + 5*v = -15, 0 = b + v + t for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1044316 is divided by 1143?\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32230 and 92180?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q + 7. Let m be o(-12). Is m bigger than -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16002 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5448 + 3528. Is u a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17901 a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 0 - (-6 + 14).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (4 - 7 - -1 - (4 - 3))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83, -72, -75, -98, -147, -228, -347?\nAnswer: -510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2253*k**3*s - 3*k**3 + 2685*s wrt k?\nAnswer: 6759*k**2*s - 9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/20237 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 924 and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7631*l = -7634*l - 90, -3*l - 88 = -t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 2*m - 578, w - 5*m - 142 = -2*m. Solve 0 = -3*y + 127 - w for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**3 - 8*m**3 + 5*m + 16*m + 8*m - 29*m.\nAnswer: -12*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -9) + (4 - 8)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -444 (base 12) in base 10?\nAnswer: -628","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 4*y + g - 11, -5*y + 4*g = -37. Suppose -y*x + 58 = -32. Suppose -5*k - 2*c = -44, -c = 2*k - 0*k - x. Solve 0 = -2*p - k for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 5 - 7 = n, -3*n = -4*n for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 5*a = -0*i - 9, -3*a + 1 = -i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 10:41 AM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1206 - -1188) + (-2 - 15)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/95 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j**2 - 3*j**2 + 0*j**2)*(-4*j**2 - 4*j**2 + 3*j**2) + 5*j**4 + 5*j - 3*j - 25 + 27.\nAnswer: -5*j**4 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103 - 3*n**2 + n**2 + 104 - 16256*n.\nAnswer: -2*n**2 - 16256*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 495100 rounded to the nearest ten thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 62.32033511 and 576.\nAnswer: 638.32033511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i\/(i\/(((i\/(i*i\/i**(2\/5)*i*i))\/i*i)\/i*i))))**(-40)*i**(1\/9)\/i**0 assuming i is positive.\nAnswer: i**(-935\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -333 + 691. Calculate the lowest common multiple of d and 22.\nAnswer: 3938","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**7*u*u\/(((u*u**6)\/u)\/u)*((u**(1\/8)\/u)\/u)\/u**12)**(3\/19))**7 assuming u is positive.\nAnswer: u**(-1659\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003127 to four dps.\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/15, 210, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g**3 - 13*g + 13*g.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.552 and -6574.22?\nAnswer: -3628.96944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**3 + 2*h**2 - 4*h + 4. Let q = -23 - -19. Let z be 15\/20*-2*-2*1. Let o(n) = n**3 + 2*n**2 - 3*n + 3. Determine q*o(r) + z*i(r).\nAnswer: 2*r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + -5 + 5 + -3. Suppose -2*c + 36 = -0*c. Suppose z + c = d. Calculate the highest common divisor of 6 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -350 + 353. Suppose 3*f + 3*p = -3, 0 = -k*p - 2*p - 20. Solve 0 = f*h + 3 + 9 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/2 (b) 2\/5 (c) 9 (d) 15219\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7526503, 7526505, 7526507, 7526509, 7526511?\n\"Answer: 2*t + 7526501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3101*k**3 + 83 - 15 - 101*k**3 - 14 - 54.\nAnswer: 3000*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(-1 - 5 + 5)*(2*y**3 - 4*y**2 + 2*y**2 + 0*y**2) + (-2 - y + 2)*(20*y**2 - 85 + 85).\nAnswer: -16*y**3 - 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 39\/(-6) + 6 + 162\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.0894233 - 472.\nAnswer: -481.0894233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 + 1 - (6 + (25 - 17))) + 5 + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 1)*(-4*m - 5*m + 7*m)*(2*m + 30 - 30).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 180 and 2280.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + 3*q + 108. Let f(m) = 27. Let n(g) = -d(g) + 3*f(g). Calculate n(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0413 from 433258569.\nAnswer: 433258569.0413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g**2 + 2060*g - 678*g - 81 - 684*g - 684*g as f*g + m + s*g**2 and give m.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 4.259\nAnswer: -0.4259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -4*v. Let g be 3*1 - (1 - 6)\/1. Let d(o) = o. Give g*d(l) + 3*r(l).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/k**(-2\/11))**(-29)*(k*(k\/(k**(-19)*k)*k)\/k)**(-1\/4) assuming k is positive.\nAnswer: k**(-751\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f + 3. Suppose 0 = z + 2 + 4. Determine n(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - 3*v + 2*v)*(-39*v - 857 + 857)*(0*v + 3 - 8*v + v).\nAnswer: -546*v**3 + 234*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 83720\/1120*(-72)\/78.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-1 + 6 + 4 - 5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1606 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 0*t = -54. Suppose 5*l - t = 122. Let u = l + 4. Is u a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 6 - -9) + 4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 220474088 to the power of 1\/3, to the nearest integer?\nAnswer: 604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -227*r + 5182 + 563 = 157*r - r for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 308 divided by 7?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 260713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -t + 3*c + 41, 0 = 4*t + 2*c - 46. Suppose -238 = -3*z + t. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 800*z**3 - 513*z**3 + 94*z**3 + 514*z**3.\nAnswer: 895*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*p**3 + 476*p - 2 + p**4 + 38*p**3 + 109*p**2 + 62*p**2 - 61*p**3 wrt p.\nAnswer: 12*p**2 + 342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 474233*b - 152578?\nAnswer: 474233","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3018630233 and 473.\nAnswer: 3018630706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5785, 11525, 17261, 22993, 28721, 34445, 40165?\nAnswer: 45881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.27951 - -116027008.\nAnswer: 116027008.27951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/1 - (-7 + 6). Suppose -5*z + 75 = 3*w, 4*z + z - 15 = 0. Let h be (1 + 1)*w\/(-8). Put -3, o, h in ascending order.\nAnswer: h, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285 is divided by 70.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 81 - 73. Is n a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9532.586mg to micrograms.\nAnswer: 9532586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of 4\/3*k**3 - 4*k + 2*k**2 + 0 + 1\/12*k**4. What is the remainder when m(-10) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + h - 415 = 0, 3*w - 415 = -2*w + 2*h. Let q(l) = w*l**2 + 4 - 81*l**2 - 4. Let i(p) = 0*p + 0*p - 2*p**2. Give i(q(j)).\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1565283 (base 9) to base 4\nAnswer: 3110120232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 3*x**2 + 11751*x + 396066 = 0.\nAnswer: -3883, -34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 3\/1642?\nAnswer: 3\/1642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*p**2 + 0*p**2 + 0*p**2 + 4393 + 4976 - 9369.\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(((((z\/((z\/z**(1\/2))\/z))\/z)\/z)\/z)\/z)*z**(2\/3))**(-24)*(z**(-2\/9)\/(z*z**(3\/4)))\/((z*z**(-7))\/z*z**(1\/3)) assuming z is positive.\nAnswer: z**(-3431\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53\/30 + -8\/5. Calculate the common denominator of q and 53\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6655 + -6654. Is t bigger than -16.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**2 + d**2 + 0*d**2)*(1 + 0 + 1)*(0*d - 4*d + 20*d) + 6*d + 2*d**3 - 6*d.\nAnswer: 162*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7369112783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 414 divided by 1\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42323*x + 63 + 64 - 127 - 42313*x.\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 37250.58 millilitres in litres?\nAnswer: 37.25058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22.6 - 23. Sort -4, u, -3 in descending order.\nAnswer: u, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + -1 + 2 - 1*(sqrt(2) - 6*(sqrt(2) - (-3 + sqrt(2))))) + -2.\nAnswer: 5*sqrt(2) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3951750797 rounded to the nearest one million?\nAnswer: 3952000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v + 4. Let t(o) = 4*o + 16. Give -9*a(j) + 2*t(j).\nAnswer: -j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 502211165 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50 + -46. Let w be p + (-13)\/(65\/(-50)). Suppose 0 = -s + 3*v + 21, 0 = s + 2*s + 3*v - 63. What is the highest common factor of w and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1357 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -144 + 1?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 1004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -56962 or -57042?\nAnswer: -56962","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 198123.\nAnswer: 198123","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - g + 5 = 0. Let v = 1163811 + -62854217\/54. Let m = 156 + v. Is m at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4*(-4)\/(-136) + 108\/51. Let h(r) = -10*r + 23. Let s be h(y). Solve 5*n = -s*j, n + 13 = 2*j - 0*n for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 28231\/(-814) + 35 - (4 - 138\/33). Let m = 2.04 - 1.7. Let d = 0.06 + m. What is the closest to 1 in k, d, -1\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 11*g - 1. Let x be z(4). Sort x, 1, -5 in decreasing order.\nAnswer: x, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41477090 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(441)*-2 + (-1*sqrt(196) - sqrt(196) - sqrt(196))\/sqrt(4))\/(2*(-2*sqrt(847) - sqrt(847)) - sqrt(847)).\nAnswer: 9*sqrt(7)\/77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226 is divided by 33?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 733502 and 148588?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 0, 0 = 2*h - 6*h + 3*p + 752. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of 6*f**2 + 0 + 1\/4*f**4 + 1\/210*f**7 + 1\/18*f**6 + 13\/60*f**5 + 0*f + 0*f**3. Factor u(q).\nAnswer: q*(q + 3)**2*(3*q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 4*p. Let o(d) = 6*d**2 + 21*d. Let s be (5 - 4)\/(2\/(-42)). Determine s*w(i) + 4*o(i).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 16909, 45874, 74839?\n\"Answer: 28965*t - 12056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -x - a - 3, a - 16 = 5*x. Suppose c + 4914 = 5*j, -3920 = -4*j + c - 3*c. Suppose y - j = -974. Sort -5, y, x.\nAnswer: -5, x, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 4. Let q = 3 - 0. Let d = q + -1. Solve x = -d*x + o for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 10:48 PM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*w**2 + 5*w + 29*w**5 + w**5 - 3*w**2 - 299338 + 299348 - 9*w**3 wrt w?\nAnswer: 600*w**3 - 54*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 10 + 1 + (1 - 1 + 2)*(2 + 4 - 4) + 1 - 4 + 4 + 2 - 3 + 3)*(y - y - 7*y + (-3*y + y + 3*y)*(-3 + 6 - 4)).\nAnswer: -120*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -1\/23, -0.02, 4, -0.2?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 4:33 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51478.\nAnswer: 2, 7, 3677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 6 - 6. Let b be 1*((-95)\/(-30) + c). Let x = 3.9 + -2.9. Put x, -2, b in decreasing order.\nAnswer: x, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15.77 - 61.77. Put 17, p, 5 in descending order.\nAnswer: 17, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5576 and 83368.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -109875.\nAnswer: 1\/21975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 1.886586.\nAnswer: -7.546344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**3 + 3*i**3 - 4*i**3 + (0*i - 3*i + 4*i)*(2*i**2 + 2*i**2 - 5*i**2) + 9*i**3 + 8*i**3 - 6*i**3 - 2*i**3 + 19*i**3 - 2*i**3.\nAnswer: 24*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -14, -9, -2, 7?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 204*s = -201*s - 122, -4*r - 4948 = -118*s for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + (1 - 1))\/(-1). Suppose 15 = -y*i + 3*i. Let o(v) = 2*v - 4. Calculate the lowest common multiple of o(7) and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 + -28.218?\nAnswer: -28.228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 49703 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -5 + (2 + 1 + 0 + sqrt(11) + -1 + sqrt(1100) + -1)*-4 + 4)**2.\nAnswer: 264*sqrt(11) + 21305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 + 7*o + 2. Let l(f) = -2*f**2 - 7*f - 1. Suppose -3*s + 21 = -2*p, -5*p - 10 = 2*s - s. Let u(x) = p*r(x) - 2*l(x). Give u(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3230 divided by -2?\nAnswer: -1615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/6)\/((-1)\/(-2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2010020122 + 22100?\nAnswer: -2002221022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -2\/9, 23, 0.1, 0.2, 5\/3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 651?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -50678790.4 rounded to the nearest ten thousand?\nAnswer: -50680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-4)*o\/o**(-4\/9))\/(o*o**1*o**(-2)))\/((o**(3\/7)\/o**(-2))\/(o\/((o\/o**2)\/o*o))**45) assuming o is positive.\nAnswer: o**(5356\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 10*b**2 + 14*b + 43. Let r be a(-8). What is the second derivative of -107*l - r*l**3 - 48*l**3 + 102*l**3 wrt l?\nAnswer: -30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 27897612132 and -4.\nAnswer: 27897612128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of 231*h**5\/10 + h**3\/2 - h**2 - h. Let l be g(2). Round l to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 times 94761811?\nAnswer: 6633326.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 33168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + g - 118 = 0, 4*g - 104 = -134*l + 138*l for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -45 - 4?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2162657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1440 and 1312.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hb when two letters picked without replacement from {q: 1, b: 1, h: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o + 98. Let b(g) = 2*g + 83. Let a(k) = 6*b(k) - 5*v(k). Let p be (0 - -12) + (-2 - -3). Let r(w) = -15*w - 17. Give p*a(u) + 6*r(u).\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - 8*t**2 + 3*t + 5. Let n be 0 - ((-8)\/(-3))\/(3\/(-9)). What is the tens digit of a(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*z + 116*z = 125*z + 86 + 16, -18 = -5*r - z for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mtt when three letters picked without replacement from mtttoim.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 144460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2615536 or -2615535?\nAnswer: -2615536","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8106573 and 87.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/28)\/((-2)\/(-36)*198\/(-528))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c + 3. Let h(f) = 189*f - 4. Give -h(v) - 2*x(v).\nAnswer: -191*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -34324*d + 34337*d + 97, 0 = m - 3*d - 3 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -411*u + 7597*u - 323370 for u.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 123 + 373. List the prime factors of v.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 7:08 AM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179*k + 2*r + 14 = 178*k, -3*k + 46 = -5*r for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of n**5\/20 - 3*n**4\/8 + n**3 - 24*n**2. Factor f(o).\nAnswer: 3*(o - 2)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 5. Let w be 66\/(-36)*6\/4. Let q = 9\/4 + w. What is the closest to 0.1 in q, 1\/8, n?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1272 a factor of 210476449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 148985972?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -300 - -305. Let a be -4*q*2\/(-5). Solve 0 = 2*i + a - 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**26*w**(-6\/13) assuming w is positive.\nAnswer: w**(332\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1395307 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 - 404*t**3 + 0*t**4 - 17*t**4 + 0 + 408*t**3 - t to the form j*t + l*t**3 + c*t**4 + b*t**2 + s and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -54 - -198?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/19)*r**(2\/25))**34 assuming r is positive.\nAnswer: r**(-408\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of f**6\/360 + 3*f**5\/40 + f**4\/4 + 11*f**3\/2 - 38*f. Let h(o) be the second derivative of m(o). What is h(-7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20744837309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*j*m**4*v - 187*j*m**4 + 234*j*m**3 + 4*j*m**2*v - 6*j*m**2 + 40*v wrt m?\nAnswer: 168*j*m*v - 4488*j*m + 1404*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -228 - 4?\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -21 + 20 - (-1 + 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 265722 by -6.\nAnswer: -44287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-104)\/(-10)*1065\/6 - -1. Suppose 4*g = -4*c + a - 643, 923 = 3*g - c. List the prime factors of g.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2*d - 58 = 0, 0 = -5*i - 2*d + 93 + 45. Let w = -126 + 234. Calculate the remainder when w is divided by i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/84*4*-1.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 108590835011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + t**2 - 2*t + 91. Suppose -105*i = -109*i. List the prime factors of k(i).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 - -27 - (4 - (-2 - 0))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15837 and 42?\nAnswer: 221718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 - -24. Let n(p) be the first derivative of -12 - 4*p + 7*p + 2*p - d*p**2 - p**2. Let h(i) = 3*i - 2. What is 11*h(b) + 4*n(b)?\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -c + 72, -3*l - c - 2*c = 54. Let m = -1 - l. Calculate the least common multiple of m and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -29 (b) -0.5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 6*a**2 - 16*a + 3. Let x be d(-8). Suppose -560 = -4*l + 3*k, -k - x*k - 560 = -4*l. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 times -27321\nAnswer: 710346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 - (-3756)\/36)*(-30)\/(-175) + 30\/25.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1*(-2)\/(-1))\/(-2). What are the prime factors of (-6)\/(-12)*26*41\/o?\nAnswer: 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(2\/11))**(-2\/3)*f**(-2\/11)\/(f**(1\/7)*f*f) assuming f is positive.\nAnswer: f**(-221\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/1 + (-22)\/(-10)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 greater than or equal to -0.01924?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 48*b**2 - 95901*b - 5994.\nAnswer: 3*(b - 1998)*(16*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 2\/3)\/1. Put -1.1, j, 4 in increasing order.\nAnswer: -1.1, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.016 and -0.05717?\nAnswer: 0.00091472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**4 + 3547 - 3*g**2 + 3564 - 7129 + (-5*g**2 - g**2 + 4*g**2)*(0*g - g**2 + 0*g).\nAnswer: 4*g**4 - 3*g**2 - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a millennium in months?\nAnswer: 14000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -118059 - 6243\nAnswer: -124302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 20 = -4*r + 4*t, r + 4*t + 20 = 0. Suppose r = -3*d - 3*m - 0*m + 102, d = m + 36. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49195480 divided by 9839096.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16\/277 - -2969\/27423. Find the common denominator of o and -76\/3.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 871042 a multiple of 457?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*m**3 - 608\/3*m - 26\/3*m**2 - 896.\nAnswer: (m - 42)*(m + 8)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3955201, -7910411, -11865621, -15820831?\n\"Answer: -3955210*f + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(5\/(-3 - -13)). Let s = 15 + 7. Calculate the remainder when s is divided by x\/2 + 32\/8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 18278214 - 2?\nAnswer: 18278212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 0.19, 3, 6, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147275 is divided by 1416.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4554832*s**3 - 395795*s?\nAnswer: -27328992*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 53067 and 15729.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 m when four letters picked without replacement from {m: 4, h: 7, l: 2}.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2*6*(-2 - -1) - (87 + (-28 - -11))\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.96 - -0.04. Let d be (-2 - 1)\/((-198)\/(-330)). What is the third biggest value in 0.2, -1, i, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 273 = -269 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1042975 or 1042970?\nAnswer: 1042970","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/x**(18\/11))**(-1\/2))**(-34) assuming x is positive.\nAnswer: x**(68\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10871511 a multiple of 1457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -699 - -1469. Let r = g + -572. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(1700) + (sqrt(1700) - 2*2*sqrt(1700))**2 + 5) + ((sqrt(1700) + (-1*(sqrt(1700) + 1*sqrt(1700)) - sqrt(1700)) + sqrt(1700))*-3)**2 + -4)*1.\nAnswer: 20*sqrt(17) + 45906","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**2 + 0*g**2 + 3*g - 3*g. Let r(p) = p**3 - 5*p**2 + 4*p + 4. Let n be r(4). Let y(b) = b**2 - 2*b**2 + n*b**2. Determine a(y(k)).\nAnswer: -18*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 d when three letters picked without replacement from zzddzzzdzdmzdzdzmz.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -455 or -453?\nAnswer: -455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/400)\/(1\/5*26\/(-13))?\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-7) - (-298)\/(-14))\/(-11928 - -11925)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -3.1. What is the closest to p in -5, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b - 2. Let z be m(-3). Let s be -3 + z + -2 + 1. Solve -5 = -s*j + 5*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - 1. Let x be (-6)\/o*20\/(-15). Put -1, 5, x in increasing order.\nAnswer: x, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-11*1\/(-88)*(-4)\/56*8)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 55*u + 59*u - 142*u + 20608. What is the remainder when u is divided by 50?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -26, -30, -34, -38, -42, -46?\n\"Answer: -4*w - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 4*d + 2*i, 36*d + 33*d - 68*d - 3*i = -8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 0. Let g = 3.2 - -0.8. Let j = -3.2 - -3.2. Which is the closest to -6? (a) q (b) j (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (170\/(-2448)*4)\/(5\/(-4)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16796 + -16760. Suppose -21 = -z - 4*a + 174, 4*z - 3*a - 875 = 0. What is the remainder when z is divided by l?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2020 (base 4) to base 12\nAnswer: -b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i + 2 + 5*i - 3*i + 0.\nAnswer: 8*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80307 and 54.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 540*s**2 + 69*s - 27. Let p(g) = -135*g**2 - 18*g + 7. What is -7*h(v) - 27*p(v)?\nAnswer: -135*v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + d + 181 = 0, 4*d + 3 = d. Let w be (176000\/(-6))\/((-12)\/b). What is w rounded to the nearest one thousand?\nAnswer: -88000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c. Let p be w(-1). What is the third derivative of 2*g**3 - 3*g**2 - 2*g**2 - 4*g**p - 2*g**3 wrt g?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*y - 25 = 5*g, -4*g = 12. Suppose -3*v + 6*v = 0. Solve -k + y*k = v for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -67.18 - -1.18. Let i = v + 62.7. Let d = -0.7 + i. Which is the second smallest value? (a) -1 (b) 5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in -1\/6, 11, 2\/5?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -8*j - 10. Let s(a) = -11*a - 16. Let r(u) = -5*s(u) + 7*w(u). What is the lowest common multiple of r(-12) and 31?\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 5*a = 300, 0*p + 5*p + 3*a - 1434 = 0. Suppose -3*i + p = 5*t, 4*t = 5*i - 71 + 262. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -565468.24 rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 41 - (2 + 20 + -12 - -6)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b + 3791 - 3791 + b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 252, 458, 662, 864, 1064, 1262, 1458?\nAnswer: 1652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by (-1)\/(1\/1) - 30\/(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*l + 3 = 0, -k - 4*l - 8 = 3*k. Let m be ((-1)\/(-2))\/(k\/(-2)). Let w = -140\/3 - -47. Are w and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/75 of a millennium?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 18, 30, 42, 54?\n\"Answer: 12*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 13 = 2. Let i = -208 + 362. Let q be 4\/(-10) + i\/10. What is the greatest common divisor of q and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*2*sqrt(2) - (sqrt(288) - sqrt(2))) + -4)**2 - (sqrt(2) + ((3*sqrt(2)*2)**2 + sqrt(2) - sqrt(2)) + -3)*2)*-2.\nAnswer: -76*sqrt(2) + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 3) to base 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 220415 + 2?\nAnswer: 220421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*b = -14, 2 = 3*c - 4*b - 13. Let x = -2 + 5. What is the units digit of (c\/x)\/(2\/30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 16.86\nAnswer: -33.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {d: 1, z: 14}.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (3*2\/18)\/((-5)\/3)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120 = 5*q, -709*i + 711*i + 4*q - 106 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 4*g - 11 + 35, -4*g = -12. Let u = t + 8. Solve -u*r + 3*r = 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -94080828 + 169336\nAnswer: -93911492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30188438?\nAnswer: 2, 7, 2156317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 425 is divided by (96\/80)\/((-12)\/(-4100))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lkfijjkjilknlkfjkkff. Give prob of picking 1 i and 1 f.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - 14*f**2 - 16*f + 28. Let z be w(15). Suppose -47 - z = -30*t. Let 2\/7*k**3 + 10\/7*k - 8\/7*k**t - 4\/7 = 0. What is k?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*(y**(-1)*y)\/y)\/y)\/(y*((y\/((y\/y**(-4))\/y))\/y*y)\/y)*(y**1)**(3\/17))\/((y**4\/(y*y\/(y\/(y*y*y*y**(1\/3)*y))))\/(y**5*y**(1\/3)\/y)) assuming y is positive.\nAnswer: y**(400\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5316328055.\nAnswer: 5, 617, 733, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 18*y**2 + 154*y + 982. Calculate the remainder when f(-16) is divided by 623.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 353099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -86993.871312+0\nAnswer: -86993.871312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 0*n = -3*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 65 - 66. Calculate the least common multiple of (y - -4)\/(15\/70) and 32.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -355 divided by -2\nAnswer: 355\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -7 + 6 - 3*j + 6*j. Let i be r(-3). Let z(f) = -f + 4. Is z(i) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -33\/4 in -2, -5, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 3, 42, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/3)\/n*n)**(2\/53)*((((n\/n**1)\/n)\/n)\/n)**(-1\/23) assuming n is positive.\nAnswer: n**(385\/3657)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135864?\nAnswer: 2, 3, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67 divided by 1603.\nAnswer: -67\/1603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 48*g - 513. Let s be x(-9). Let v(a) = -a**2 - 7*a + 1. Let n be v(-6). Solve -4*z - n = -b, s = z - 5*b + 3 - 25 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 2:46 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f + 39. Let q(m) = -6*m + 81. Let i(b) = 3*b - 40. Let o(j) = 5*i(j) + 2*q(j). Let u(a) = 6*o(a) + 5*x(a). Differentiate u(h) wrt h.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**3 + 18*y**2 + 5*y - 84. What is the smallest common multiple of 2 - 6\/2 - -29 and w(-8)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, a: 5, v: 1, w: 3, q: 8, s: 1}. Give prob of sequence ewwq.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92403.\nAnswer: 3, 10267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/5*(-30)\/(-4). Suppose 2*x - 63 = -i. Let z = x - 5. What is z rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 556909 + -2?\nAnswer: 556907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.0455 + -1.0455. Which is the closest to m? (a) 2\/9 (b) -2\/5 (c) -2.8 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 8*n**2 + 9*n + 8. Let c be z(-9). Suppose c*r = 5*r + 27. Suppose -3*h - r = -6*h. Solve h*i - i - 4 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3612*k + 208*k**2 + 23*k**2 + 3612*k to the form a + t*k + q*k**2 and give q.\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 14. Let g = t - 2. What is the units digit of 1\/(g*3\/24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xf when two letters picked without replacement from rxxuuxf.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2210414034 (base 5) in base 11?\nAnswer: 2774810","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 9:47 AM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 381188 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -38 + 36 - n - 4*n**2 + 4*n**2 + 10*n**3 as h*n**2 + a*n**3 + g + v*n and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5315649 divided by 1?\nAnswer: -5315649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaapaaaap. Give prob of sequence ppa.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -0.9. Let m be (-1)\/(-6)*4 + -1. Let x = -0.4 + 0.6. What is the nearest to a in x, 0.1, m?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zk when two letters picked without replacement from ozkockqkloooolll.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 151 - (2 - -1) - 1. Let h = d + -105. Does 6 divide (-12)\/h - 228\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 9:31 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 49?\nAnswer: -3\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 61728757 to the power of 1\/2, to the nearest integer?\nAnswer: 7857","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -325 or -2?\nAnswer: -325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36327994?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 23*o**2 - 3*o - 5. Suppose u - 22 = 4. Let l be 267\/39 - (-4)\/u. Is f(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4*s - 5. Let i(p) = -8*p + 43. Let u be i(4). Let y(b) = -21*b + 26. What is u*x(r) + 2*y(r)?\nAnswer: 2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/158 and 49\/752.\nAnswer: 59408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 3. Let y be m(-7). Let w = -34 - y. Solve -3*g - 31 = -5*j, -2*j + w = -4*g - 0*g for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 21, 4\/9, -28, -2\/11?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -26 divided by 291\nAnswer: -26\/291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 + 94 = -163*t - 27 - 234 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 28797?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 80\/236607 and -59\/97755?\nAnswer: 57968715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**2 - n**2 + n**2 + 0*n**2 + n**2 + 0*n**2 + (-2*n - 1 + 1)*(4*n - 3*n - 3*n) + 0*n**2 + 3*n**2 - 2*n**2 + (1388*n**2 - 1396*n**2 - 4 + 5)*(-2 + 3 - 2).\nAnswer: 15*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -11537*v - 1 + 23060*v - 11533*v. What is t(-4)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2104 is divided by 236?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 10.409598 months?\nAnswer: 0.0008674665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 20 = 0, 3*n + 5*m - 26 = 4*m. Let q = n - 5. Suppose q = 2*b - 6. Does 3 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-18)*y)\/y**(-9\/7))\/(y\/(y\/((((y\/(y*y\/y**(-2\/25)))\/y*y)\/y*y)\/y)*y)*y**20) assuming y is positive.\nAnswer: y**(-5536\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 c when two letters picked without replacement from jqhjucchjjjqjjjjjjjh?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -18275 not equal to -18275?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a - a + 2 - 2*a)*(3*a**3 + 4*a**3 - 4*a**3) to the form z*a**3 + n*a**4 + l*a + d + y*a**2 and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.9 - -2. Let v be 1 - 1 - (9 - 10). Which is the biggest value? (a) v (b) -0.2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2268)\/sqrt(7))\/(sqrt(2)*3*-4).\nAnswer: -3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -v + 3, 0*x + 3*v = -2*x + 9 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 0, -4*a + 8 = -2*n - 6*a for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 705 = 2*w + 3*w. Suppose -w = -6*m + 3*m + s, -218 = -5*m - 4*s. Is m a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*b - 3. Let h be 1 + (b - (-8)\/(-4)). Let x(s) = 2*s**2 + 6*s + 2. Let u be x(h). Solve -2*a - q - 3 - 6 = 0, -3 = -a + u*q for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.012 less than or equal to -0.21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v + 30 + 44 + v. Let d = 1 + -1. Does 25 divide x(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 2*k. Suppose -5*j - h = -4*j - 2, -j - 5*h + 2 = k. Suppose 11*o - 26 - 52 = -15*o. Sort j, o, 4, 5 in descending order.\nAnswer: 5, 4, o, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 765 = 2*t, -5*h = -5*t + 3*t - 3789. Is h\/1*(-4)\/(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 0.97. Which is greater: 1\/5 or n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.126126um in millimeters?\nAnswer: 0.009126126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2 + (1*sqrt(2662)*4)\/(3*-2*2*sqrt(2)).\nAnswer: -11*sqrt(11)\/3 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llftsttftfltt. What is prob of picking 2 f?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 426 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*q - 12*q - 10*q + 46*q.\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*t + 219 = 255 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*v, 78 = 11*l - 7*l + 2*v. What is the remainder when 197 is divided by l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e38 - -66a?\nAnswer: -7bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4318, -4353, -4420, -4525, -4674, -4873, -5128, -5445?\nAnswer: -5830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -25, -88, -211, -412, -709, -1120?\nAnswer: -1663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000764 rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 805 and 5523105?\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.10555*0.4.\nAnswer: -0.04222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-34) - ((-5852)\/(-1122) - 4)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in six fifths of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 756*h = 771*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**2 - 39*v**3 - 95*v**3 + 0 - 4*v**4 - 1 + 3*v**4 to the form l + n*v**4 + b*v**3 + z*v + j*v**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 6*k - 40 = -5*k, 4*k = -4*s + 32. Solve s*n + 724 = 692 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yggkgkg. What is prob of sequence yyg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 32*i**4*y**2 + 3*i**2*y - 9*i*y**2 + 221*y**2 + y + 1 wrt i.\nAnswer: 128*i**3*y**2 + 6*i*y - 9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2101*o + 12609. Give m(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6b74 (base 13) to base 12\nAnswer: 8914","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.90361 to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -158436744 by 12.\nAnswer: -13203062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -270 divided by -27.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -8*m. Let l(x) = -x**2 - 5*x + 5. Let z = 0 - -6. Let o(v) = -v**2 - 6*v + 6. Let u(r) = z*l(r) - 5*o(r). Determine f(u(s)).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000178041422 rounded to 7 dps?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2. Let a(z) = -63 - 25*z + 63. Let d(h) = 76*h. Let m = -22 - -14. Let j(i) = m*a(i) - 3*d(i). Determine j(t(r)).\nAnswer: -28*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, k: 6}. Give prob of sequence kb.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32424 and 2316.\nAnswer: 32424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*j**3 + 100*j**3 + j**2 - 21*j**3.\nAnswer: 106*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 921952?\nAnswer: 2, 47, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1140707 is divided by 2754.\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j + 4. Let l(p) = p**2 - p - 6. Suppose -5*s + 3*s + 8 = 2*v, -4*v - 5*s + 14 = 0. What is the remainder when l(v) is divided by y(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7741\/3 at most 2581?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -10*t**3 + t**2 + t + 1. What is the least common multiple of f(-1) and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-269 + 48*t + 269)*(-2*t + 3*t + 3*t).\nAnswer: 192*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66937 is divided by 1802?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6505900 and 17653650?\nAnswer: 3142349700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m = 5*m + 25. Let j = 18.25 + -0.25. Let z = j + -16. Which is the closest to z? (a) -3\/2 (b) -4\/3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9\/2 (b) -0.062 (c) -0.3 (d) -639\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1212*i + 1080 = -1197*i. Calculate the remainder when i is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -111, -225, -339, -453, -567, -681?\nAnswer: -795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + o = 21, -1 = 6*q + 4*o + 19 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 + (-129600)\/3008 + (-273)\/(-26)*(-2)\/(-3)?\nAnswer: -4\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 794 - 489. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**4\/5 + 285937*y**3\/5 - 20439849023*y**2\/5 - 20440134961*y\/5.\nAnswer: -y*(y - 142969)**2*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(162) + -1 - ((sqrt(2) + 1)**2 + 1).\nAnswer: -5 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -1325472?\nAnswer: 1325475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 28?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 9*v + 5. Let r be n(9). Let i be 3\/9 - (-23)\/3. Let z = i - 12. Put z, -5, r in decreasing order.\nAnswer: r, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -371811*f**6 + 262*f**5 - 6459*f**2 - 3*f + 37 wrt f.\nAnswer: -44617320*f**3 + 15720*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 7*s**2 + 16*s + 22. Let v be g(9). Factor 4*o**3 - o**5 - 2*o**2 - 3*o - o**4 + 3*o**v - 15*o + 15*o.\nAnswer: -o*(o - 3)*(o - 1)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 946 + -945.9. What is the third biggest value in -1\/3, -6, -2\/13, a?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44672 and 1047?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4*q - 4 = 3, o = -2*q + 9. Let m = o + -3. Solve -m*b = 7 - 1 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3407370 rounded to the nearest ten thousand?\nAnswer: 3410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -20*j**2 + 7*j + 2. Let r(m) = 7*m**2 - 2*m - 1. Let u(b) = -17*r(b) - 6*v(b). Suppose 5*x + 9 + 6 = 5*q, 5*x = 15. Determine u(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i - 2. Let a(j) = 3*j - 5. Let d(m) = -2*a(m) + 10*h(m). Let b be d(4). Solve u = b*u + 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that g**2\/5 - 48*g - 38961\/5 = 0.\nAnswer: -111, 351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - 9178.\nAnswer: -9179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001679 to 6 dps.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.06768 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 2*s**4\/15 - 2146*s**3\/15 - 2152*s**2\/5 = 0?\nAnswer: -3, 0, 1076","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 62147.94 centuries?\nAnswer: 6214794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/5, -42.5, -1, 219.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132342 is divided by 282?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 16 + 5 - -3.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - 18*l - 17. Let i be x(-17). Let b = -569 - -484. Is b less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**4*o**(-5))\/(((o*(o\/o**(2\/9))\/o)\/o)\/(o*o**0)))**(-14\/13) assuming o is positive.\nAnswer: o**(-154\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21384 and 19440.\nAnswer: 213840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2220)\/12)\/(-18 + (38 - 25)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32191804, 32191807, 32191810, 32191813?\nAnswer: 32191816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1358.503 + 2.497. Let p = 2869793495368.999999269 + -2869793494008. Let l = p - m. Round l to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1445\/12 - 1441\/12. Is 2310 smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-11974)\/(-7) - 12\/21. What is the greatest common divisor of 90 and f?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**4\/11 - 1868*k**3\/11 - 1878*k**2\/11 + 7472*k\/11 + 680 = 0. Calculate k.\nAnswer: -2, -1, 2, 935","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -2*n**2 + 1004623*n\/4 + 62789\/2 = 0?\nAnswer: -1\/8, 125578","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/2 of a litre in millilitres?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 144\/(-32)*(2 + (-350)\/(-75))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.23 - -0.35. Let b = 0.057 - -3.823. Let m = k + b. What is the closest to 1 in 0.2, 0.3, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2322301 (base 5) in base 12?\nAnswer: -20509","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 59 + 20*j**4 - 7*j**2 - 13*j**2 - 58 - 3*j + 23*j**2 - 2*j**3 as b*j**3 + p*j**2 + w*j + h + y*j**4 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 28 = 5*v, -8*v + 6*v + 3*k - 2 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 86325*j - 1381191. Calculate v(16).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a*(a\/(a\/(a*((a\/a**(-27)*a)\/a)\/a)))\/a)*a**(-5\/8)\/a*a*a assuming a is positive.\nAnswer: a**(-213\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4978743 and 3675.\nAnswer: 124468575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2207, -2160, -2071, -1940, -1767, -1552?\n\"Answer: 21*t**2 - 16*t - 2212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 5*g + 17 = -a, 0 = -5*a - g + 19. Suppose 0 = a*u, 0 = 4*z - 5*u - 22 - 6. Calculate the least common multiple of z and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-1\/5)*n)**31 assuming n is positive.\nAnswer: n**(279\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 253*v + 9. Let w(j) = j - 2. Calculate g(m) + 4*w(m).\nAnswer: 257*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.6 + 6. Let a = -3.02 + 0.02. What is the nearest to 1 in a, -5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 3 (c) -5 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 6*z - 21 = 0. Let v(l) = -l**2 + 10*l + 7. Let u(d) = 3*d**2 - 31*d - 20. Let m(p) = z*v(p) + 2*u(p). Give m(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - 7*j + 18. Give v(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 40\/6*2884\/(-35). Let p be 329770\/600 + 2\/12. Let z = p + y. Find the common denominator of -99\/20 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 112510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -7. Suppose -49 = -5*j + 3*d + 52, 5*d + u = j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 232434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4554 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1861*n + 16472*n + 3530*n - 1568*n + 14436*n.\nAnswer: 31009*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -201023 - 2012041?\nAnswer: -2213114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185347*a = q - 185345*a - 4 + 2, -3*q + 2*q + 6 = 4*a for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*d**2 + 3 - 4*d + 3*d**2 + 6*d to the form v + a*d + j*d**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.488 + -0.48798899. What is n rounded to seven dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1861 is divided by 1861?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 0)*(-4 + 4 - 3*w**2) + 10*w - 436*w**2 - 429*w**2 + 1 + 862*w**2.\nAnswer: 12*w**2 + 10*w + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or -655036.758?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 69 + -60. Does 18 divide (0 - 39)\/((v\/(-6))\/1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) -4 (c) 29\/4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 8*l + 28 = -6*s, 5*s + 140 = -5*l for s.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (4 - 9 - -7)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 639171113 to the nearest integer?\nAnswer: 25282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 19 = 3 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155 is divided by 68?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2031 divided by 12\nAnswer: -677\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9677 + 0)*(-8 - -7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1726.999907 - 1727. Round v to 6 decimal places.\nAnswer: -0.000093","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 99070290 to the nearest integer?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*k - 148653 - 114043 = -30037. What are the prime factors of k?\nAnswer: 3, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of -x**6\/6 + 3*x**5\/4 + 15*x**4\/2 - 100*x**3\/3 + 719*x. Factor t(g).\nAnswer: -5*g*(g - 5)*(g - 2)*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 2*d - 72. Suppose -a - 10 - d = 0. List the prime factors of (329\/a)\/(2\/(-8)).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1965?\nAnswer: 3, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4*y = 4. Suppose 137 = 2*f + 3*a, y*a + 6 = 4*a. Suppose 5*b - j = f, -4*j + 8 - 4 = 0. Calculate the remainder when 51 is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*p**4 - 182101*p**3 + 1996069 wrt p.\nAnswer: -32*p**3 - 546303*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -352?\nAnswer: -360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 3*x - 1 = 0, 2*x - 120 = -g - 118 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 7 (b) 2 (c) -888 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18009044?\nAnswer: 2, 4502261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 865761 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/((0 + 6 - 4)*(-1)\/10). Let q = 1 + -0.8. What is the second smallest value in q, z, -3\/5, -12?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -1. Let x(t) = -t + 4 + 3 - 6 + 0*t. Let o(p) = -5*j(p) + x(p). Determine o(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*a - 345 = 79 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6277 (b) -0.009 (c) -5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 95620601 and 2831?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 259857 - 86619 - 86615 - 86623 - 23*u.\nAnswer: -23*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 79 + -78. Let y(p) be the first derivative of -9*p**2\/2 + 10*p + 13. Let u be y(a). Solve 4 + u = 5*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38149.\nAnswer: 38149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 179 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 + -22. What is the highest common divisor of f and 161?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 95254 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1268 - 687. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -29*n. Let f(j) = -34*j**2 - 3*j - 112. Let h(c) = 34*c**2 + 3*c + 168. Let g(p) = -3*f(p) - 2*h(p). Determine g(o(t)).\nAnswer: 28594*t**2 - 87*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 5) to base 3\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 15) in base 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 385, 194, -125, -572?\n\"Answer: -64*f**2 + f + 448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.818 - 25.438. Let g = 24 + z. Round g to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-140)\/(-6)*((-82)\/5 - -2). Let r = 168 - c. Calculate the common denominator of 2\/9 and (-1718)\/r + 2 - (-4)\/(-14).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, 39, 125, 281, 531, 899?\nAnswer: 1409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 4*f = 0. Suppose 0 = -f*a - a - 5. Let q = -261 - -265. Put q, a, 13, -4 in descending order.\nAnswer: 13, q, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-11)\/(p**(-2\/37)*p)*p**30*p\/(p*(p**27*p)\/p)*p assuming p is positive.\nAnswer: p**(-294\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of j**9\/56 + 4*j**7\/35 + 101*j**5\/30 - 19*j**2 + 6*j. What is the third derivative of d(l) wrt l?\nAnswer: 1080*l**3 + 576*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**2. Let n(s) = s**2 - 11*s + 12. Let k = -12 - -22. Let r be n(k). Let y(p) = 21*p**2 + 2 - 2 - 15*p**r. Give y(u(h)).\nAnswer: 24*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 3:27 AM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 7. Suppose 0 = 3*g + 5*m, 5*m = i*g - 0*m - 30. Suppose j - g*j + 4 = 0. Solve 6 = y + j for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeeeepfeefepfeepe. What is prob of picking 1 e and 2 f?\nAnswer: 13\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3 - 122*g**2.\nAnswer: 2*g**2*(g - 61)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b + 64. Let y be a(0). Suppose -2*h - 2*h = -y. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*n - 146*n - 56 = 0. Let r(g) = 8*g**2 - 4*g + 1. Determine r(n).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 14. Let j be i\/2 + (11 - 10). Do 1 and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1991674?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, 9, -2, 2 in ascending order.\nAnswer: -2, -0.07, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3164, 4, 3 in descending order.\nAnswer: 3164, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4978 and 195714.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*l = 5*m - 102*l - 22, 4*m = l + 17 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 185700092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 4. Let c(m) = m**3 + 5*m**2 + 6*m + 5. Let f be c(-4). Is (0\/f - u) + 33 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 75130111 (base 8) to base 7\nAnswer: 253205635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 + 0.07. Which is the closest to -1\/2? (a) 3 (b) 5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*t + 29*t = 25*t + 240 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -5*y - 40. What is the least common multiple of 27 and t(-14)?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 + 26*y - 39. Let w = -4514 + 4539. Calculate q(w).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*v + 107*v - 32 = 0. Sort -1941, v, 2 in decreasing order.\nAnswer: v, 2, -1941","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w = -27*w + 17400000. Suppose 0*k = 4*k - w. Round k to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-213)\/(-284)*44\/12.\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-19))\/(((-300)\/475)\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 91 times -0.04\nAnswer: -3.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -5694516.4.\nAnswer: 2847258.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 5, 3 in descending order.\nAnswer: 5, 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1547.788076 rounded to the nearest 10?\nAnswer: -1550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -16 (b) 3\/7 (c) 0.04 (d) 2.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*12\/(-18)*1*(-16 + 14) + 97.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -281*k**2. Let c(q) = 7*q - 20. Let t(f) = -15*f + 44. Let a(u) = -11*c(u) - 5*t(u). Calculate j(a(d)).\nAnswer: -1124*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 339214 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 + 0)*(3*s - 2*s - 3*s)*(-7*s**3 + 47*s - 47*s - 3*s**4).\nAnswer: 18*s**5 + 42*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3 - 991*o + 968*o + 3. Let n(k) = -2*k**2. Determine b(n(f)).\nAnswer: 46*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, k: 1, s: 1, a: 5, p: 1}. What is prob of picking 1 m and 1 a?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(847) + 2 - sqrt(847)) + sqrt(847))*-2)**2.\nAnswer: 176*sqrt(7) + 3405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -4*x**3 + 11732*x**2 - 11477812*x + 3741765400. Let f(j) = -j**2 - j - 2. Let w(r) = 4*f(r) - t(r). Determine p, given that w(p) = 0.\nAnswer: 978","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 651809.\nAnswer: 651809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 - 22. Let l = w + 3.44. Let h = -0.04 + l. Is h at most 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 462, 437, 396, 339?\n\"Answer: -8*l**2 - l + 471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/4))**(-2\/119)*(t**(-4\/15))**(-44) assuming t is positive.\nAnswer: t**(41873\/3570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -195*n + 57732613 - 8841292 + 30196194. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**2\/5 - 28*x - 490 = 0.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45\/2 - -16. Which is smaller: p or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (2 + -1) - (-2 - -3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, x: 4, f: 4}. Give prob of picking 1 i and 1 x.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-72))\/(5\/45*3).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/3*((-60)\/25)\/((-12)\/30)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/30 of a century?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4121 and 18.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - 245?\nAnswer: -249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 323 - 311. Suppose f = -5*b + 120, 60 = 2*b - 5*f + x. Is 5 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16012975 and 1100.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 38 + -44 + (-1 - -1 - -2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1076708?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of c**3\/6 - 2*c**2 + 3*c. Let z be q(6). Calculate the remainder when z*(0 + 9\/2) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -24*g**2 + 27342*g + 47908. Give c(1141).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11720 and 1600?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -39 in -1, 0.13, -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v = 374245 - 3645. Round v to the nearest 1000.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -35 - -318?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-61)\/((-6100)\/9300) - 42.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 5. Let i be (t + 3)*(-3)\/10. Which is the third biggest value? (a) i (b) 5 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(2\/35)*y))\/y)\/y*y*y**(-4\/9)*y*y\/(y*y\/(y*y**(-1\/8)*y)*y)*(y*y**(8\/5)*y*y)\/y assuming y is positive.\nAnswer: y**(7493\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -118302.6 rounded to the nearest one hundred?\nAnswer: -118300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of 13*j**5\/30 - 5*j**3\/6 + 14*j. Let k(v) be the second derivative of t(v). Let a(q) = q**2. Give a(k(n)).\nAnswer: 2704*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3017 in 0.2, 0.5, -5, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -560 - -865. What is the least common multiple of z and 15?\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/(-48) - 1\/(-4). Let m(z) = z**2 + 5. Let i be m(y). Suppose -q + 17 + 12 = 3*l, -5*q - i*l = -135. Is q a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 8 = -12695*p + 12691*p, -3*j = j - 4*p + 4 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.03*166006.\nAnswer: 170986.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - 9. Let n = -20 - h. Suppose n = -5*f + 2*f + 63. What is the highest common factor of f and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 568.5 + -568. Let g = -69 + 209\/3. Let p = -5 - -8. Which is the nearest to g? (a) t (b) 2\/9 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 701 - 685. Solve -3*j + 8 = 7*w - 6*w, -3*w + j = t for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(3\/11)\/z)\/z*z**(-10)*(z**(-3))**(-41) assuming z is positive.\nAnswer: z**(1224\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 16809569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.160749 to three decimal places.\nAnswer: -0.161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - -1 - -598*((-29812)\/(-9976) + -3*1)?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 18*w**2 - 9*w - 382. Let j(h) = -6*h**2 + 3*h + 128. Calculate 3*i(n) + 8*j(n).\nAnswer: 6*n**2 - 3*n - 122","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1267932, 2535886, 3803856, 5071842, 6339844?\nAnswer: 7607862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296 is divided by 68?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3815297 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3474)\/(-3150) + (-9)\/(-225)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4869 - 4825. What is the highest common divisor of 1210 and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 1. Suppose 3*l + 19 = 7*b, -6 = 17*b - 15*b + 2*l. Let y(g) = 2*g**2 - 7. Give b*y(d) + 3*p(d).\nAnswer: 2*d**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6795446 at least as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Is 3216209981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5958 - 5956. What is the smallest common multiple of v and 843?\nAnswer: 1686","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1488 - -1487. Which is the nearest to 1? (a) -5 (b) 43 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -76800.27 - -7334755.27. Let x = -7257955.15000044 + z. Let q = -0.15 - x. What is q rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 324478360?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 - -9. Let u = -1393\/22 - -127\/2. Put u, c, 1 in ascending order.\nAnswer: c, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 289537346 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/31965 (b) 2\/7 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 130880 rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(117) + sqrt(13))*4 + (sqrt(13) + (2*sqrt(91))\/sqrt(7))**2 + -3 + 2*sqrt(13).\nAnswer: 18*sqrt(13) + 114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1378511 to two dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 379 = -u, -5*f + 506 - 34 = 3*u. What is the remainder when f is divided by 1261\/52 - (-2)\/(-8)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 14512*u. Let b(c) = c + 356. What is b(a(p))?\nAnswer: 14512*p + 356","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - (-18)\/15)*(15 - 10) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l*q**5 + 335*l*q - 14*q**5 - 3*q**3 wrt q?\nAnswer: -40*l*q**3 - 280*q**3 - 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**4 - 2*k**4 + 24*k**4)*(1 + 1 + 0 - 3 + 3 + 2 + (3 - 4 + 0)*(2 + 0 + 0)).\nAnswer: 40*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 3*w**4\/4 - 27*w**3\/2 - 81*w**2\/4 + 105*w + 171 = 0?\nAnswer: -2, 3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 23 = -s - 13, 2*t - 14 = -2*s. Let n(k) = 4*k**3 - 5*k**2 - 3*k + 2. Let p(w) = -11*w**3 + 14*w**2 + 8*w - 5. What is t*p(o) + 8*n(o)?\nAnswer: -o**3 + 2*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 176*l*o**2 + 37*l*o + 4*o**2 + 390 wrt l.\nAnswer: 176*o**2 + 37*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v - 46. Let x be (-1 - 280\/12) + (-3)\/(-9). Let r be n(x). Suppose 5*g + r = 17. What is the third smallest value in g, 5, -0.02?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*f**3*q**2 - 208*f**3*q*v + 48917*f**2*q**2*v + 452*f**2*v wrt q.\nAnswer: -6*f**3 + 97834*f**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 11:26 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -141025415?\nAnswer: 141025422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/3*(-304)\/(-80).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -1 + (99 - 86)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from {m: 7, s: 7}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**2 + 4*p + 28. What are the prime factors of g(-5)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2129 is divided by 353.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 311142 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/4))**(1\/21)\/(w\/(w**(-2\/7)*w)*w*(w*w\/((w\/w**(-2\/5))\/w))\/w) assuming w is positive.\nAnswer: w**(-787\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -95 + 130 - (65 + -26).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1588556368?\nAnswer: 2, 7, 14183539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1476\/309960*(-4 - (-88)\/12).\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-75))\/(((-18)\/45)\/1)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86658, -346672, -780034, -1386750, -2166826, -3120268?\nAnswer: -4247082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -7*v + 51. Let d be (6\/5)\/(2\/v). Suppose -d*g + 15 + 3 = 0. Solve -s + 8 + 5 = -3*k, g*k + 5 = -s for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/452781 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2050.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*o + 41*o - 1408696 - 1227032 = 0. List the prime factors of o.\nAnswer: 2, 3, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 192 - 132. Suppose 3*q - n = 9. Let u = 10 + q. Is 5 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2702 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 37*b + 40*b = -62, -2*b = 5*o - 212. What is the greatest common divisor of 5420 and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -16. Let x = -7 + 10. What is the remainder when m is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 2*b + 10 = l, 2*b - 10 = 5*l. Let s(a) be the first derivative of 4 + 8\/5*a**5 + 0*a**2 + l*a**4 + 4*a + 0*a**3. Differentiate s(u) wrt u.\nAnswer: 32*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 249660 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2313971.55s to days.\nAnswer: 26.782078125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -11725 + 109*v + 5863 + 5862 in the form t + x*v and give x.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 365114 is divided by 121677?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -7*t + 20. Let k be h(4). Let c(n) = 2*n - 6. Let z(j) = -3*j + 13. Let u(g) = 5*c(g) + 3*z(g). Give u(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9859, 9645, 9431, 9217, 9003, 8789?\n\"Answer: -214*b + 10073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 3 - 2)*(-96*n + 103*n + 204*n) in the form m + p*n and give p.\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 374?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of 35*p**5 - 428*p - 418. What is the derivative of q(r) wrt r?\nAnswer: 700*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54 (base 6) to base 13.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s**5 + 2655*s**4 + 245630*s**3 + 5614120*s**2 + 13785600*s - 19648000 = 0. What is s?\nAnswer: -40, -4, 1, 614","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = 74*w + 1197. Which is smaller: -37 or w?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(378) + (-2*(2*sqrt(378) - sqrt(378)) - sqrt(378)))\/((sqrt(144)\/sqrt(3)*-4)\/sqrt(8)).\nAnswer: 3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 151?\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-18)\/(-27) + 34\/(-6). Let w(h) = -h - 3. Let s be w(j). Let c be (-40)\/15*3\/(-2). Put s, c, 6 in descending order.\nAnswer: 6, c, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4169797478?\nAnswer: 2, 7, 11, 27076607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 4*h**3 - 5*h**2 + h + 7. Let q be j(3). Let a = 75 - q. What is the derivative of 0*z - 4 + 197*z**a - 223*z**2 + 0*z wrt z?\nAnswer: -52*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03792 rounded to zero dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7815, 7817, 7833, 7869, 7931, 8025?\nAnswer: 8157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*j + 75*j = -46*j + 332 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/12046684 and 39\/12193?\nAnswer: 12046684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o - 5. Let f be u(-6). What is the closest to f in 1, -3, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/64818 and 76\/7641.\nAnswer: 55030482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 1636790.\nAnswer: -2\/818395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 1.6 (b) 1 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 721245 is divided by 392.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of 0 - 4*o + 0*o**4 + 1\/3*o**3 + 1\/10*o**5 + 0*o**2. Find the second derivative of y(q) wrt q.\nAnswer: 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + v = 15. Suppose a - 36 - 109 = -n, -v = -5*a. Suppose 4*u - n = -4*w + 34, -5*w + 260 = -3*u. Calculate the remainder when w is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 169 + -a?\nAnswer: 15d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 c when three letters picked without replacement from {t: 12, c: 3}?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13531150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 5*m + 113. Let z(x) = -x - 28. Give -4*n(i) - 18*z(i).\nAnswer: -2*i + 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (29 + (-48225)\/(-45))*(0 + 26 + 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 27932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6882 and 313911?\nAnswer: 720111834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 9*k**2. Let f(a) = 14*a**2 + 21*a**2 - 9*a**2. Let c(i) = -3*f(i) + 8*h(i). Let j(l) = 0*l + 11*l - 10*l + 0*l. Give c(j(b)).\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/7))**48\/((n**2\/n)\/(n*((n**(-1\/6)\/n*n)\/n)\/n)))\/(n**0\/n**(-1\/6)*(n*n\/n**(-1))**(-12)) assuming n is positive.\nAnswer: n**(995\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.930156km to centimeters.\nAnswer: 693015.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(231) - -1*sqrt(231))\/sqrt(11) + sqrt(210)\/(sqrt(10) - -2*sqrt(10)))\/((sqrt(378)\/sqrt(36))\/sqrt(6)).\nAnswer: 14*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -11124, -11108, -11080, -11034, -10964, -10864, -10728, -10550?\n\"Answer: p**3 + 9*p - 11134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3043 and -10?\nAnswer: -30430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from jffffjjvjjfvjjjjf?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 476?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -363, 0, 2 in descending order.\nAnswer: 2, 0, -363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*q + 28*q + 8 = 0. Let y be 17\/(-68) - 142\/q. Let k = -2 - y. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 4*w - 6)*(-w**2 - 2*w**2 + 5*w**2) + (-31*w**3 + 39*w**3 - 23*w**3)*(0 + 0 + 1) to i + d*w + r*w**3 + m*w**2 and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 5*c + 3, 3*o + 17*c = 20*c for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-414)\/(-6) - (26 - (-51 - -86))?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -91 - -98. Suppose g = -4*w + 5, 0 = 3*g + 3*w - 0*w + 3. Let a = k - g. What is the least common multiple of 4 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-212)\/(-5))\/((-608)\/(-760)) - 30\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -37 (b) -0.3 (c) 0.1 (d) -86 (e) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*((-2)\/(-15))\/(16*14\/280).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d**5 - 8*d**4 - 67*d - 7. Let n(g) = 2*g**5 - 5*g**4 - 45*g - 5. Let c(v) = 7*n(v) - 5*r(v). What is the second derivative of c(x) wrt x?\nAnswer: -20*x**3 + 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 481*m - 409*m - 648 = 0 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gfafgpifigggzpp. What is prob of picking 1 g and 2 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/3*66\/(-165).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 5*l - 5. Let p be f(-6). Let y be ((-10)\/(-1))\/(-1 - (-6)\/4). Let c = -17 + y. Solve -4*n + c*n + p = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/3)*t)\/t)\/t**(-1)*(t\/((t*(t*(t*t**(-1\/4))\/t)\/t)\/t)*t)\/(t*t**(2\/13)\/t)*(t**(-6)*t**(3\/4))\/(t**1)**(-37) assuming t is positive.\nAnswer: t**(1346\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + -4)\/3*(-2 + 2). Solve 2*c + 13 - 1 = -5*x, j = -x - 2*c - 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5591462l in millilitres?\nAnswer: 559.1462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8221108 divided by -6598\nAnswer: -1246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20740 - 11727. Does 11 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 3*u - 2*z + 73 = 0, -2*z = -u + 35. What is the greatest common divisor of 9 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b*b**(-10))\/b)**(-5)\/(b**(-2\/31)*b**17) assuming b is positive.\nAnswer: b**(870\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*f = -17*f + 7 - 49 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 8:47 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (2 - -2 - 7) + 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i**2*n*p**3 - 4*i**2*n*p*r + 37*i**2*p**3*r - 12*i**2*r - 6*i*n*p**2 - 3*i*p**3*r wrt p.\nAnswer: 6*i**2*n + 222*i**2*r - 18*i*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -x**6 - 18*x**4 - 9*x**3 - 94*x**2 + 67 wrt x.\nAnswer: -120*x**3 - 432*x - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 837, 2804, 5915, 10182, 15617?\n\"Answer: 2*b**3 + 560*b**2 + 273*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of 3*i**6\/40 + i**5\/10 + 4*i**2. Factor k(v).\nAnswer: 3*v**2*(3*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 195 = -5*f - 3*w, -w = 3*f - 109. Let x = 39 - f. Is 46 + (-2 - (x - 5)) a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88106*x + 88159*x + 2014 = 0 for x.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (80\/(-64))\/(1\/4*-1). Let c(t) be the second derivative of 16*t**3\/3 + 11*t**2 - 30*t. Let d(z) = -13*z - 9. Give w*c(b) + 12*d(b).\nAnswer: 4*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 6*v**2 + 5*v - 5. Let r be (-1 + 1 - 5)\/(-1). Let q(o) = -5*o**2 - 4*o + 4. Let g(h) = r*q(h) + 4*w(h). Let z(i) = 4*i**2. Give g(z(x)).\nAnswer: -16*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 765489.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11514 is divided by 2820?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -a + 9. Let t = a - -13. Suppose -4*z = -j - 2, -3*j - t*z = -j - 26. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h**2 + 9*h**2 - 5*h**2 - 7*h**2.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*5*1\/(-35)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m - 3 + 3 + 162 - 70 - 2*m - 77 - m - 2*m + 5*m + (3*m - 5*m + 3*m)*(-1 + 5 - 2).\nAnswer: m + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 1:17 PM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -3*r + 3, -30*r + 2 = 4*v - 28*r. Solve u - 2*u + 5 = v for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1147*-37155.\nAnswer: -42616785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12448390 divided by -1244839?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 2:19 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -127 - -127.3. Let x = -456 - -455. Which is the fourth smallest value? (a) x (b) t (c) -0.009 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9083 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -254, 121, 3, 126.\nAnswer: -254, 3, 121, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/7, 2\/11, 1\/28, -2\/7, -4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j - 2. Let h be d(-10). Let g(b) = b**3 - 7*b**2 - 8*b + 4. Calculate the lowest common multiple of 3 and g(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -911*j + 908*j + 5*c + 27, 12*j - c = 89 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 83304? (a) 143 (b) 1\/6 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1878353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -257*r**3 + 207*r**3 + 2*r - 5*r.\nAnswer: -50*r**3 - 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -607450*i**2*p**3*y**2 - 2*i**2*p*y**2 - 8*i**2*y - 3428*i*p**3*y - 4*p**3 wrt y?\nAnswer: -1214900*i**2*p**3 - 4*i**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -77465, -309877, -697231, -1239527?\n\"Answer: -77471*l**2 + l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 11:08 PM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13*v + 6*v**2 - 13*v - 2*v**4)*(-2 + 0 + 1) to the form a*v**3 + u + j*v**4 + y*v**2 + x*v and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -529.5 (b) -3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35.05759 - -0.05509. Let o = f + 35. What is o rounded to 4 decimal places?\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 37, 2\/13, 2\/287?\nAnswer: 2\/287","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w + 0*w - w + 9*w + 5*w - 2.\nAnswer: 10*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.3*-23223.\nAnswer: 53412.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (116\/(-60) + (-102)\/255)*(0 + (-1 - -3))\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*a**3\/3 - 212*a**2 - 528*a - 400\/3 = 0. What is a?\nAnswer: -2, -2\/7, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9638 + 9641. Let v be (-1 - 0) + 1 + 3. Solve 0 = n*k + v - 12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-2))\/((-2)\/(-6)). Sort p, -1, -3 in ascending order.\nAnswer: -3, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -1, -2\/7, 0.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, 3, 1, -3 in descending order.\nAnswer: 30, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 55903.1 to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a. Let m(f) = -46*f - 1. Calculate 4*l(v) - m(v).\nAnswer: 42*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 287882964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -0.5 (c) 0 (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107 - 203 + 193*w + 58 - 197*w - 32.\nAnswer: -4*w - 284","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2770 - -2770.1. Which is the closest to u? (a) 2\/7 (b) -0.036 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/2 (b) 1 (c) -5 (d) 4 (e) 0 (f) 87\/34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14465.95 + 14466. What is the nearest to -2\/11 in 0, 2\/269, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 8 - -2) + 0 + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38 - 2267*u + 1135*u + 1129*u)*(38 - 6*u**2 - 38).\nAnswer: 18*u**3 + 228*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 442\/28 + 22503\/546 + -41.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/((-21)\/12) + 4. Suppose 2*z + s*z + 8 = 0, -6 = c + 3*z. Let w be ((-12)\/15)\/((-2)\/135). What is the greatest common factor of w and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -40678785 >= -40678785?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - y - 5. What is the least common multiple of p(-3) and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(78\/11 - 7). Is i at least 293\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*h - h + h)*(0 + 1 - 6) - h + h - h + (-4 - 1 + 4)*(-4*h + 3*h + 3*h) - h + 2 - 2 + 7*h + 0*h + 2*h)*(2 - 1 + 0).\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y - 28. Let u be n(-26). Let s be u\/1 - 2\/(-4)*-1324. Calculate the remainder when 85 is divided by s\/(-30) - 10\/75.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23.995 - -0.005. Let r = 1.02 + 22.6. Let x = l - r. Round x to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47*f**2 + 65*f**2 - 58*f**2 to the form v + q*f + i*f**2 and give i.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-84)\/56*(-3)\/((-27)\/(-22476)). Suppose -j = -h - 3033. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 10*q**2 - q + 4. Let s be c(-4). Suppose f + s = 3*f. Let a = f + -59. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39 - 111 + 39)*(-1 - 2*y**3 + 1).\nAnswer: 222*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -k + 2*s - 9, -5*k - 80 = 5*s. Let j(v) = 2*v + 2. Let u be j(11). Let i = k + u. Does 3 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-4\/7))\/(n\/(n\/((n*n**(-2\/41))\/n))) assuming n is positive.\nAnswer: n**(137\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, d: 2, u: 3, c: 1, p: 3, a: 1}. What is prob of picking 1 u and 1 n?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -g**5\/20 + 1670*g**2. Let z(a) = -40 + 40 + 21*a. Give z(m(u)).\nAnswer: -63*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2 - 6 = 0. Suppose 0 = 4*q - 3*q + 1, 2*q + y = -4*h. Suppose 2*a - a - x + 2 = h, -3*a = 3*x - 24. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33576672 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -355, -704, -1053, -1402?\nAnswer: -1751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o + 4 = -8*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6362278 is divided by 1517?\nAnswer: 1497","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 55579*f**2 + 8*f - 15. Let z(q) = q**3 + 4*q**2 + 2*q + 1. Let d be z(-3). Let b be h(d). Suppose -4*u = 149281 - b. Round u to the nearest 10000.\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-2))\/(-6) - (-728)\/(-21). Suppose 0*b - 190 = 3*b + 5*m, -2*m + 100 = -2*b. Let d = i - b. Calculate the smallest common multiple of 14 and d.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6524996095 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4284\/5 - -862. Let d = -419\/5 - -433\/5. Determine w, given that 0 + 46\/5*w**4 + l*w**2 + 54\/5*w**3 + d*w**5 + 4\/5*w = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 43993404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43 - -46. Suppose -3*k - 5*r = -147, -o*k + 87 = 3*r - 66. Which is smaller: k or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 5*u = 5*q - 20, -2*u = 2*q + 8. Suppose o + 3*v - 43 = q, 0*o - 5*v = -3*o + 73. Factor -s + 14*s**3 + 13*s - 48*s**2 + o*s**3.\nAnswer: 3*s*(3*s - 2)*(5*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 1\/5, 0.297, -3, -5, 7.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4328\/2 + 3 + -2 + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-36726)\/(-54) - 2\/18. Suppose 2*d - r = -2*v, 0 = 2*v - 3*v + 4*d + 315. What is the remainder when v is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 + (3 - (-6 + 2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1025 in -3, 0.2, -2\/21, -64, -4, 5?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -4*h**3 - 1. Let n be d(-1). Suppose 0 = -4*z - 5*r + 16, 0 = -n*z - 2*r + r + 1. Is 0 + z - 0 - -36 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 54*c - 62 = -7 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -5158?\nAnswer: -5154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -0*b - 3*b - 4*n, -b = 4*n - 17. Suppose b*v - s + 5 = 0, -2*v - s = 3 - 8. Solve -q - 3*j - 3 = v, 3*q = 5*j - 0 + 5 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 l when three letters picked without replacement from {i: 15, l: 3}.\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 22669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 16*u**2 + 29*u + 53. Determine w(-14).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 1 (b) 232146 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 11*n + 9. Let l be i(-4). Let z = -14 - l. Solve 3*o - z = -2*o - 2*x, 3 = -2*o + 3*x for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b**3 - b**2 - b - 1. Let d be w(-2). Calculate the highest common factor of d and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43 + 38 - 69 + 9*q)*(-6*q**2 + 3*q**2 - q**2).\nAnswer: -36*q**3 - 48*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -14600*c**5\/9 + 1124194*c**4\/9 - 3416246*c**3\/3 + 31765388*c**2\/9 - 31289344*c\/9 - 4288\/3 = 0.\nAnswer: -3\/7300, 2, 4, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 6*c**2 + 6*c + 2. Calculate w(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 36. Let h = 33 + j. Suppose -5*p + 14 = u + 34, 5*p + 40 = 3*u. Solve u*d - h = -g + 14, 5*g - d = 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -2, 5, -1, 165?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 269759291 to the power of 1\/2, to the nearest integer?\nAnswer: 16424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 1917 - 26*f - 957 - 24*f - 959. Let i(p) be the first derivative of 2*p**3\/3 + 6. Determine o(i(h)).\nAnswer: -100*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.331 + -6.331. Let g = -0.06 - 0.24. Let y = -0.4 + -1.6. Which is the nearest to g? (a) 5\/3 (b) p (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*l + 166 = 61 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((1092\/105)\/13)\/((-34)\/15)\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 287 + -201. What is the remainder when 18 is divided by n\/12 - 1\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 288, 324, 428, 636, 984, 1508, 2244?\n\"Answer: 6*b**3 - 2*b**2 + 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nadnnndhnb. Give prob of sequence ahad.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*t - 11*t**3 - 10*t**3 + 27*t**3 + 125*t - 10*t**3 in the form q*t**2 + w*t**3 + d + f*t and give f.\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/2 - 100\/(-8). Suppose z = 3*a + 17, 0 = -3*z + 2*z + 5*a + 19. Calculate the least common multiple of z and (-3)\/(-2)*i\/9.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 382528631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -341*d*o*q*z**3 - 62*d*o*z**3 + d*z**3 + 3*o*q - 2*o*z - z wrt q.\nAnswer: -341*d*o*z**3 + 3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1670\/(-44) - -4) + 10\/440*-2?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -254 - 51?\nAnswer: -345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1197 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3625835 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -4*q**2 - 41. Let j(f) = -2*f**2 - 16. What is h(j(t))?\nAnswer: -16*t**4 - 256*t**2 - 1065","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28469669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 27*4.3637\nAnswer: 117.8199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38596\/3993 + -1\/1331. Find the common denominator of 30\/7 and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17403228*n**3 + 3562200*n**2?\nAnswer: 104419368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 8*p + 100 = 0, 0 = 5*w + 530*p - 994*p + 460*p - 71 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/4))**12*(c**(1\/3))**(-2\/51) assuming c is positive.\nAnswer: c**(-461\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 13*f**3 + 11*f**2 + 5*f + 31. Let w(j) = 5*j**3 + 4*j**2 + j + 11. Let v(m) = 3*p(m) - 8*w(m). Give v(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-8) - 14\/(-8). Suppose 2*w - 20 = -j*w. Suppose -5*o - 2*z + 109 = 0, -2*o + 36 = -0*o - 3*z. Solve -w*a = -o - 4 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + (32 + 31\/(558\/(-270)) - 14)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27 by 5.\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2381516?\nAnswer: 2, 595379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = 6*l + 16 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(1*-1*23*15\/2415).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/12)\/(((-405)\/18)\/9).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/1)\/(-2) + 8\/2. What is the second derivative of -2*u**3 + 362*u - 359*u - 19*u**l + 2 wrt u?\nAnswer: -126*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4216212 by 6.\nAnswer: -702702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 126*d**2 + 1049*d + 16. Calculate w(9).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 12:18 PM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2697886, -5395772, -8093658, -10791544, -13489430, -16187316?\n\"Answer: -2697886*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1717 = 103*s - 481 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 112 and 422272?\nAnswer: 2955904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -10, 1, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18628473*n**3 + 2970711*n**2 + 2.\nAnswer: -111770838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = 9*u - 2*u. Let j = u + 61. Does 14 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 42.6, 1\/21, -1\/5, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -t, t - 139 = 5*i + 32. Suppose -2*k - 3*k - 135 = 0. Let v = k - i. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -0.24, -0.018, -5, 5.4, -1\/3?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 8*j - 57. Let r = j + -9. What is the lowest common multiple of r and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.374515 millilitres in litres?\nAnswer: 0.006374515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -13*d**2 + 6*d - 5. Let t be u(1). What is the smallest common multiple of 5 and (1 - -1)*t\/8 + 10?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/5 of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2642?\nAnswer: 2, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3, -0.3, 2, -2\/5, 7\/2577, 4, -2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/5 + 2014*x\/5.\nAnswer: 2*x*(x + 1007)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/15, -0.2, -1076, -1\/3?\nAnswer: -1076","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.7 + 4.3. Let b = 3 - w. What is the third smallest value in -4, -5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010000101101101011 (base 2) in base 13?\nAnswer: 179a4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = -4*m - 64, -61930*n - 5*m = -61935*n + 115 for n.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10924549787.3 take away 1?\nAnswer: 10924549786.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z + 6. Let r = 5 - 5. Let i be v(r). What is the units digit of 479\/9 - i*(-5)\/(-135)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - t - 5. Let a(z) = -2*z**2 + z + 7. Determine -5*a(v) - 7*f(v).\nAnswer: 3*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6364.831 + 6416.3. Round p to zero decimal places.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vfffffvfvv. Give prob of sequence vvv.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1704 divided by 24.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.3 (b) -4 (c) 0.08 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -610, -3156, -5760, -8416, -11118?\nAnswer: -13860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*j**4 - 655*j**3 + 12285*j**2 - 32345*j + 20710 = 0. What is j?\nAnswer: 1, 2, 19, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -0.2 (c) -0.26 (d) 0.0914 (e) 3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1070298308?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2.5, -1\/10, -2\/3, 80, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/3)\/((-21)\/(126\/4))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 400 is divided by 37.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 2*s**2 + 2*s + 2. Let b be z(0). Suppose 0 = 5*g - b*x - 10, 0*g - 3*x + 6 = 3*g. Solve h = -h - g for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -u + 2*y - 4, 2 = -5*u + y for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 2*z + 543, -3*z - 544 = 4*b + 328. Let c = z + 564. What are the prime factors of c?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-4 + (-27)\/(-6)). Let v(g) = g - 2*g - 2 + 3. What is v(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.32 - 0.32. Sort 1, 4, x.\nAnswer: 1, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 48, 214, 434, 714, 1060, 1478, 1974?\n\"Answer: s**3 + 21*s**2 + 96*s - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -183*h + 199. Let l be o(-14). Calculate the highest common divisor of 11 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 14*f**2 + 30*f + 21. Let j be h(-12). Is -51 bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75992*i**2 - 1 + 1 + 37998*i**2 + 37985*i**2.\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of 0*y**4 + 84 - 5\/2*y**2 - 9\/5*y**5 + 0*y**3 + 74*y. What is the first derivative of v(k) wrt k?\nAnswer: -36*k**3 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 5:02 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 2225 = -385. Is 19 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (124\/6)\/((-3)\/(-9)) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -10. Calculate the lowest common multiple of 12 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5261 divided by 2852?\nAnswer: 5261\/2852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -34759*o**3 + 36737?\nAnswer: -104277*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 2160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2607269 to the power of 1\/2, to the nearest integer?\nAnswer: 1615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 132*t**5 + 1027629*t**4 + 1097580*t**3 + 1120881*t**2\/4 - 58383*t\/2 - 11676 = 0.\nAnswer: -7784, -1\/2, -1\/4, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -506, 47, -2, -5.\nAnswer: -506, -5, -2, 3, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1384919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 182601927?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -272432 != -272430?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26.5 + 20. Let p = -8 - f. Is p < 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 t when three letters picked without replacement from ttwptptpppw?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 116 divided by -4?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 180*l**2 - 8030*l - 214. Give f(-217).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -0*f + 2*f - 17, -f + 4*j = -22. Let u be (f + -4 - 4) + 14. Let i be -9 + 9 + u\/1. Solve 3*s - s - 4*n = i, 2*s - 2*n = 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/4 + (-42)\/(-24). Let x(b) = 1 - 309*b + 5*b**2 - 2 + 305*b. Let r be x(c). Calculate the greatest common divisor of r and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ho when two letters picked without replacement from oohh?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(16)\/sqrt(8) + -1 + sqrt(2) - (5*sqrt(2) + -2))**2)*3.\nAnswer: -18*sqrt(2) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -12.5. Let a = -4 + j. Let o = -4.5 - a. Sort o, -2\/3, 2\/3 in decreasing order.\nAnswer: 2\/3, -2\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 71\/5 of a day?\nAnswer: 20448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1260 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 7:59 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2*m - 1 = -5*z, 5*z + 8 = m. Suppose 4*h - 5*r = 7, 4*h = 8*h + 3*r - 47. What is the lowest common multiple of m and h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*q = 29*q - 46. Which is the second biggest value? (a) q (b) -0.2 (c) 219\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3071071 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12427 - 12446. Let g = -3.7 + 4. Are g and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*l - 14*l + 395. What are the prime factors of -4 - (0 - 3 - l)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q - 4*q - 3*q)*(2 + 3 - 2) + q - 6*q + 2*q.\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1.2 * -134.47503\nAnswer: -161.370036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-15)*3\/(-1)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6366*k**2 + 15099*k**2 + 12075*k**2.\nAnswer: 20808*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-4) + 114\/12. Let l = -2 - -4. Suppose 0 = 2*a + l*a. Solve 3*c + 3 - t = a for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 17*b + 105959 - 17*b**2 - 24*b**3 + 104*b**3 - 105942. Let s(x) = -27*x**3 + 6*x**2 - 6*x - 6. What is -6*m(o) - 17*s(o)?\nAnswer: -21*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2. Let n(p) = -1252*p**2. Give s(n(x)).\nAnswer: 1567504*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l + 4. Let s be o(-4). Let m = -6605\/14 - -466. Find the common denominator of m and (-213)\/(-15)*(-10)\/s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3268 in 0, 5, -4, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (405\/(-810))\/(7 + (-2410)\/344)?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15797 - -15791. Which is the fourth biggest value? (a) -2 (b) 117 (c) 1 (d) u (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 8:35 AM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/2*3)\/(3*4\/(-104)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -136 - (0 + (-1 - 17) + (-1668 - -1672)).\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.38 + 0.4. Let s = 1.98 + b. Let f = s - 2. Which is bigger: -0.1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9394*w - 9394*w + 8035*w**2.\nAnswer: 8035*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -64349 or -64353?\nAnswer: -64353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(153) + sqrt(153)*-1*-2 + sqrt(153) + sqrt(153)))\/((sqrt(144) + sqrt(144)*-2 - sqrt(9)) + (sqrt(576) - sqrt(576)*1) + sqrt(576) + sqrt(576)).\nAnswer: 30*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -2\/11, 0, 14650?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xvtddxddxtvd. Give prob of picking 1 t, 1 x, and 2 v.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 680 a factor of 373763076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 3*d - 10. What is q(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than 140?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 8132 = -8112. Put 5, o, 8, 28 in decreasing order.\nAnswer: 28, 8, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/958390 and 9\/1916780?\nAnswer: 1916780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 1\/10 (b) 8 (c) 0.3 (d) -58\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 167523787 a multiple of 798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = 3*n - 807, 5*n - 30 + 5 = 0. Calculate the greatest common factor of 153 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18700.2 - 18700. Which is the closest to 1? (a) 4 (b) 546 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**2 + 1. Let c be g(1). Let h be (c\/(3\/(-9)))\/1. Let y = 6 - h. Is y a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddudfubddfddebeb. What is prob of sequence dd?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 192\/288*42\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3301 * -14.57.\nAnswer: 48095.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -83a + -8?\nAnswer: -846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of -3\/2*o**3 + 0 + 7\/24*o**4 - 5*o**2 + 0*o. List the prime factors of w(6).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1116*i**3 + 556*i**3 + 48 + 554*i**3 - 136 as s*i + l*i**3 + f*i**2 + o and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 93? (a) -1\/14 (b) -0.5703 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -10*v**3 + 14*v**2 + 7*v - 206. Let x(t) = -7*t**3 + 10*t**2 + 5*t - 138. Let k(h) = 5*j(h) - 7*x(h). Differentiate k(r) wrt r.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1606097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 24137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13.26 + -0.26. Let f = g - 9. Let t = 4.93 - -0.07. Which is the second biggest value? (a) t (b) 1\/4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 13, 7, -5, -23, -47?\n\"Answer: -3*i**2 + 3*i + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 38 and -13160.\nAnswer: -500080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -473\/68 + -5\/17. What is the common denominator of v and 27?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 405 (base 13) to base 14.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - 9*f - 16. Let v be o(-5). Solve q = 4*z + 13 - 6, 5*z = -3*q + v for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 10579*a + 423136. Determine y(-40).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5 + 0)*16\/5. Let v(f) = f**3 + 4*f**2 - f - 2. Let j be v(-4). Let k be -2 + j - 4*-4. What is the highest common divisor of x and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 122 - 125. Is 13 a factor of 114\/(-18)*-57 - d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -106 - 374.49353.\nAnswer: -480.49353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + -2 + (-2 + -1 - -5). Solve 0 = -o*v - t - 6 - 14, 2*v - 8 = 4*t for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -4.95. Let d = 105.7 - -17.3. Let h = -122 + d. Which is greater: g or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 23 = 3*x, -x - 29 = -2*f - 37 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2707\/5 - 4331\/8. Suppose 3 = 3*q - 0*q. Is t bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -12. Let o = -4.5 - c. Let z = -23\/5 + 113\/30. What is the second biggest value in o, z, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -74993547\nAnswer: -374967735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 3, -32, 345, -0.1, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-22)\/20 + 4\/1.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 5*q - 15, 4*k + 4 = -3*q - 5. Suppose k*h = 5*h. Let a be (-79 + 2)\/(-1) - h. What is the greatest common divisor of 7 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**2 + 19*f - 60. Let q be n(-12). Which is smaller: 7\/11 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 15*b**2 + b + 20. Let s be u(-15). Suppose 96 = 7*d + s*d. Let n be (-608004)\/d + (-3)\/(-6). Round n to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 7:39 AM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9977 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 l when three letters picked without replacement from {l: 1, d: 1, u: 3, a: 7}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19748.92ns to seconds.\nAnswer: 0.00001974892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + j**2 + 1. Let o(l) = 3*l**3 - 10*l**2 + 7*l + 2. Let i(q) = 4*c(q) + o(q). Let s be i(-7). Solve 2*k - s = 5*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -44*t**2\/7 + 88875548*t\/7 + 2308456 = 0.\nAnswer: -2\/11, 2019899","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2700 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**20*u)**50)**(16\/3) assuming u is positive.\nAnswer: u**(-4800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 279*h - 291*h - 12 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 581*u - 53. Let m be h(1). Calculate the greatest common divisor of m and 330.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31702700 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*w - 987 + 987)*(747 - 46*w - 747).\nAnswer: 920*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 575, 1021, 2497, 5519, 10603, 18265, 29021, 43387?\n\"Answer: 86*y**3 - y**2 - 153*y + 643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/3, -8, 126 in ascending order.\nAnswer: -8, -5\/3, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/3*(-1610)\/(-483)\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-72)\/(-45) - 2\/(-5). Suppose -8*m + b*m = 0. Find o, given that -4*o**4 - 5*o**2 + m*o - 10*o + 9*o**4 + 8*o**3 + 2*o**3 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqkqkqkkkqkkqkqqkqk. What is prob of sequence kkq?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 3*w = 28, 4476*b - 2235*b + 4 = 2238*b - w for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.0019, 0.3, 0.4, -375?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5\/4, -2824, -0.06, -3, 4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 5*x - 28, -2*x = -x + 2*c + 1. Let p(b) = -b + 3. Determine p(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 374 = -91. Suppose -s = -4*f - 5*p + 86, 2*f + p - 97 = 0. What are the prime factors of f?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -1. Suppose 3*i = b + 7. Suppose 1 = i*g - 2*g. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 61347667?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = w - 2*w - 7, -w + 4*i - 13 = 0. Let j(z) = -3*z**2 - 7*z + 4. Let f = 6 + -12. Let b(t) = 4*t**2 + 8*t - 5. Calculate f*j(n) + w*b(n).\nAnswer: -2*n**2 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9468348?\nAnswer: 2, 3, 789029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/9))**(2\/61) assuming k is positive.\nAnswer: k**(-2\/549)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/3))**45*r**(-7)\/(r**(-6)*r*r)*((r*r*(r*r**(1\/8)*r)\/r*r*r)\/(r**(-5)*r))\/((r\/r**(-1\/10))\/r*r**(-5)*r) assuming r is positive.\nAnswer: r**(1601\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122215 is divided by 97?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*h*q*u**2 - 4*h*q*u - 3*h*u**2 + 3*q*u**2 - 16*q*u + 1 with respect to h.\nAnswer: 6*q*u**2 - 4*q*u - 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*-30*19\/(-114). Let o be (30\/(-100))\/((-12)\/p)*6. Find b such that -o*b**2 + 9\/2 - 3\/4*b = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -20105582664917 and -0.3.\nAnswer: -20105582664917.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*b - 374 = -536. Solve -2*y - b*d + 5*d = -26, -33 = -5*y - 2*d for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t + 1. Let x(d) = -3*d - 10. Give 6*u(g) + x(g).\nAnswer: 3*g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -80371.7447 rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32967?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/(-28)*26124\/1555?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -849 or -11\/4?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4410300 rounded to the nearest ten thousand?\nAnswer: -4410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.85385m in nanometers?\nAnswer: 11853850000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1290 + -1068. What is the remainder when i is divided by 121?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -7*b**3 + 49*b**2 + 14*b + 2. What is the remainder when 472 is divided by w(7)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1076b (base 12) in base 7?\nAnswer: -120431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 0 - (7 - 6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16820588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*g**4 + 470547*g**3 - 16973430?\nAnswer: -20*g**3 + 1411641*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m - 19606 + 13618 - 32991.\nAnswer: -2*m - 38979","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 123371?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4144)\/140)\/37*-50.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53, 57, 61, 65, 69?\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 24.812049 and -1.\nAnswer: 23.812049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -4*r + 3. Let w(q) = 18*q**2 - q. Let i be w(-1). Suppose -d = 15 - i. Let p(l) = -l + 1. What is d*p(x) - 2*o(x)?\nAnswer: 4*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -493, -7, 23, -4, -2 in descending order.\nAnswer: 23, -2, -3, -4, -7, -493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t + 6*t - 4*t)*(-22 - 24*t + 22) + 22*t + 40*t**2 - 22*t + (2 + 5 - 4)*(0*t**2 + 0*t**2 + t**2) to y + c*t**2 + o*t and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/9, 1\/2, -3350?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 136 = -224. Let l be 16\/p - (-18518)\/18. Suppose 0 = 9*v - 150 - l. Round v to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43590646?\nAnswer: 2, 11, 1981393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 196\/(-140) + 1271244\/10 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 3*z = -10, -200*n - 24 = -196*n + 28*z - 32*z for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/181956 and 27\/333586.\nAnswer: 2001516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66182 - 5738 = 3*w. Suppose 0 = -5*r - w + 555143. Suppose -4*m - 293021 = -5*s + r, -3*m + 399985 = 5*s. What is s rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -d**5\/60 + 3*d**2. Let m(n) = 4*n**2 - 3*n**2 + 8*n**2 - 2*n**2. What is c(m(b))?\nAnswer: -49*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 242705681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21927408 or -21927409?\nAnswer: -21927409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 12:21 AM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/((-144)\/10)*20\/(-25).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 150369674063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 65 - 42. Suppose 25 + z = m. Let u(w) = 50*w**2 + 3506*w + 430. What is the remainder when m is divided by u(-70)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12670 and 3000256?\nAnswer: 2534","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*(-1 + o + 1) + (4*o + 0*o - 6*o)*(-2 - 3 + 4) + 4*o + 0*o - 2*o + 139*o + 1 - 230*o + 108*o.\nAnswer: 22*o + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + b + 1784 + 2799, -5*k - 2*b = -5719. Calculate the remainder when k is divided by 286.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28342 = 1238*v - 11274 for v.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.708328 rounded to 0 decimal places?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -1\/6 (b) -11\/115 (c) 0.08 (d) 2\/5 (e) -2\/19 (f) 1 (g) -9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -170 minus -3049447422?\nAnswer: 3049447252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29\/12 - 233\/96. Let p = x - 21\/32. Let q = 1929\/374 - 90\/17. Which is the closest to q? (a) -2 (b) p (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - (1\/(-1) - 0). Suppose -5 = r - o. What are the prime factors of (r - -2) + -2 + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/((((-1248)\/(-180))\/52)\/(2\/(-5)))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n**2 + 80 + 0*n**2 + 11*n**2 + 0*n**2 - n**3 - 13*n - 26. Is b(10) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-3) + 100\/(-55). Suppose -6*o - 4 = -4*o, -5*o = -p + 15. What is the second smallest value in -2, q, 2, p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {n: 9, b: 11}?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 88\/20 - -1 - 3\/(-5). Let a(n) = -n**3 + 4*n**2 + 13*n + 7. Is 2 a factor of a(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -851, -849, -847, -845, -843, -841?\nAnswer: -839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9657 - 6639. List the prime factors of q.\nAnswer: 2, 3, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 1 + 1)*(0*j**2 - 10*j - 2*j**2 + 4*j).\nAnswer: -2*j**3 - 6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/7 - 11748*x\/7 + 17251938\/7.\nAnswer: 2*(x - 2937)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -34 and -278320687.03.\nAnswer: -278320721.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 123, 253, 469, 771, 1159, 1633?\n\"Answer: 43*t**2 + t + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -a9?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -191, -192, -193, -194, -195, -196?\nAnswer: -197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4*x - 6 = 0. Let k be (-3)\/(-10) - 3\/x. Let w = -2 + 1. Which is the closest to w? (a) k (b) 1\/10 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 220054556 + 1?\nAnswer: 220054557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 115 + -5?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16345.\nAnswer: 5, 7, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*5*sqrt(57)\/sqrt(3))**2.\nAnswer: 17100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19.3 - 21.09. Let d = 5.79 + z. Let b = 0.12 + -0.22. Sort 0.2, -0.08, b, d in ascending order.\nAnswer: b, -0.08, 0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k - 203 - 385 = 0. Calculate the greatest common factor of k and 490.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) -1 (c) 0.13 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45 - 29. Solve -5*u - i = -u, -2*s = 2*u + 8 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/220 and -59\/180.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17163*x + 17217*x = 34463*x + 1162 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - -3 - (3 + 1)) + 20. What is the second derivative of -17*s - 17 - 22*s**4 + c wrt s?\nAnswer: -264*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of -q**4\/8 + q**3\/3 - 6*q**2. Let h be n(-9). Suppose -h + 101 = 3*p. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 240 - 139. Let h = 12 - 6. Suppose 34 = h*t - 68. What is the remainder when x is divided by t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -811282732*p**3 + 641653956*p?\nAnswer: -4867696392*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33630 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 11:49 AM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -611 + 166 = 5*h + 4*p, -2*p = -4*h - 382. Let l = h - -154. Suppose 5*n = a + 297, 2*n + a = 3*n - l. List the prime factors of n.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1625 (base 15) in base 4?\nAnswer: -1022120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41559 by -7.\nAnswer: 5937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 27, 3, 2\/7 in increasing order.\nAnswer: -18, 2\/7, 3, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*y**3 + 7*y - 152.\nAnswer: 24*y**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.03 + -17.03. Let t = x - -22. Sort t, 2, 0.1 in descending order.\nAnswer: t, 2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -738.6 - -739.83. Round s to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 60 = 66. Factor 12*n**c + 12*n + 7*n**2 + 8*n**3 + 20*n**2 + n**2 + 4*n**4.\nAnswer: 4*n*(n + 1)**2*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/3*(-7)\/(-4). Let n(y) = y - 7. Let h be n(r). Let q = h + 3. Solve -2*z - 4*t = 8, -4*z + 32 = -q*t - t for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 826 - 797. Let t be (6\/(-12))\/((-2)\/232). What is the highest common divisor of u and t?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of 4*k + 5\/2*k**2 + 1\/6*k**3 + 0. What is the first derivative of f(q) wrt q?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 8. Suppose o = 2*z - 0. Suppose 8*a = z*a + 2*k + 177, 2*k = -2*a + 82. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 30*y. Let p(r) = 14*r**2. Calculate j(p(z)).\nAnswer: 196*z**4 + 420*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -5*j**3 + 5. Let d(z) = 7*z - 5*z**3 - 7*z + 6. Let l(i) = 5*i**3 + i**2 + 8*i - 8. Let k be l(1). Give k*g(m) - 5*d(m).\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*n - 12*n - 8. Let g be 2\/n + (-165)\/10. Is g <= -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 2*z + 2*z - 124, -4*z + 126 = -d. Suppose -29*k = -z*k + 36. What is the highest common factor of 4 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -35552 + -133515?\nAnswer: -213511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*b - 847 = -138*b. Let s(y) = 3*y**3 + 2*y**2 + 7. Let g(r) = -2*r**3 - 2*r**2 - 6. Calculate b*g(n) + 6*s(n).\nAnswer: 4*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 281 = 5*a + 254, -5*a = -3*n - a - 22 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*l**2 + 925*l + 5489 wrt l?\nAnswer: 4*l + 925","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x**3 - 4*x**2 - 2*x - 8. Is 8 a factor of l(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 3 + k - k)*(6 - 2 + 0)*(-4 + 3 - 1)*(4 - 1 - 2).\nAnswer: -16*k - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/13302355 and 11\/57.\nAnswer: 758234235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 53140161 to the power of 1\/3, to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 514*h*j**2 + 2919*j**2 wrt h?\nAnswer: 514*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -4*v - 6. Let p be (-9)\/v + 16 - 4. Solve -4*i + 24 = -4*k, 0*i = -3*i + p for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xqeq when four letters picked without replacement from qrevrvvrxvq?\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1636 in -53\/4, -100, -2\/5?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.22574 rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.14042697 to three dps.\nAnswer: -5.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 5*p = -45, v + 4*p = 24 - 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -469 - -474. Let b(z) be the second derivative of 0*z**3 - 10*z + f*z**2 + 0 + 0*z**4 - 11\/20*z**5. Find the first derivative of b(l) wrt l.\nAnswer: -33*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 56873 to the nearest one hundred.\nAnswer: 56900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 427 a factor of 161808234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2795205, -11180923, -25157127, -44723823, -69881017, -100628715, -136966923, -178895647?\n\"Answer: -l**3 - 2795237*l**2 + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -10100100110011001 (base 2) to base 9\nAnswer: -137662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17288031 is divided by 1571639.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 9250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3 - 661*c**2 - 102680*c + 2196400.\nAnswer: -(c - 19)*(c + 340)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136250?\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.2 (b) 2490 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-15)*-2 + 1\/3. What is the nearest to -3\/47 in 5, j, -0.1, 0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (18 - -3) + (-26 - -32 - 17).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3, 1, -13.8, 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13.2 - -13. Put a, 0.4, -1\/2 in descending order.\nAnswer: 0.4, a, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 1\/5, -2\/3, 10\/7, 5 in increasing order.\nAnswer: -2\/3, 1\/5, 10\/7, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 4*y**3 - 13*y**2 - 199*y + 645. Calculate p(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -412*h - 313*h = 263*h - 24700 for h.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of g**7\/5040 - g**5\/60 + 2*g**2. Let x(h) be the third derivative of z(h). Give x(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 444701 is divided by 5629.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1047980 or 1048195?\nAnswer: 1048195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -10\/989 (b) 301 (c) -4 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30060 and 19372.\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/3)\/y)**47*((y**(2\/5)\/y*y*y*y)\/y*y*y)**16*((y**4\/y)\/((y\/y**(4\/3))\/y))\/(y\/(y\/y**0))**(-12\/7) assuming y is positive.\nAnswer: y**(-98\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 90?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 4072, -1 in decreasing order.\nAnswer: 4072, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 3*n**2 + 3*n. Give f(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -66721, -66728, -66739, -66754, -66773, -66796?\n\"Answer: -2*p**2 - p - 66718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*m + 6*m - 24 = -4*k, 16 = -3*m + 4*k for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -3 - -3*(-20)\/(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/20? (a) -2 (b) -16 (c) -31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + 1 + -5 + -4)*2.\nAnswer: -16 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4*t + 21 + 5 = 0, 14 = 2*l + 2*t. Suppose -l*z = -11 + 1. Let j = 1073 + -1066. Solve x = -z*h - 18, 0 = -4*x - 5*h - 34 + j for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 - 5*v - 38 + 20)*(2*v - 4*v + 3*v).\nAnswer: -5*v**2 + 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 580067805 to the nearest integer?\nAnswer: 24085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 5*j - 2 + 12, -2*d - j = -7. What is the derivative of i**3 + 2*i**3 + 5 - 2 - i**d wrt i?\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n, 1 g, and 1 x when four letters picked without replacement from gxnngnn?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 694 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -235 = 20*p - 25*p. What is the remainder when p is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 0 + 0 + 18*i + 19*i to c + z*i and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 361, -9, 4, 1 in descending order.\nAnswer: 361, 4, 2, 1, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8119180 - 4262565101\/525. Let o = 1790 - 134257\/75. Let p = o + a. What is the common denominator of -1\/7 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 s, and 1 y when three letters picked without replacement from ppppppeueserrryrr?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-5 - (-13 + 7))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4553312789?\nAnswer: 223, 523, 39041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 80 - 101. Let q be (-2*(-7)\/h)\/(1 - 3). What is the nearest to 2 in 2\/21, q, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 361 + 296*q - 622 + 261 - 10*q**3 to the form t*q + u*q**3 + n*q**2 + b and give t.\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01213836 + 0.04.\nAnswer: 0.05213836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-75)\/(-21) + 9\/21 + -9. Let v(x) = -x + 17. List the prime factors of v(w).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -62\/3*d - 61\/3 - 1\/3*d**2.\nAnswer: -(d + 1)*(d + 61)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 4034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -12551?\nAnswer: -12550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 5*m**2 + 45*m + 24. Let b(h) = h**2 + 11*h + 6. Let v(j) = 9*b(j) - 2*r(j). Is v(9) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -20 (b) 2\/15 (c) 5 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*k**3 - 50 + 24*k**3 + 19 + 14 + 17.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 19 = 49. Solve j + 5 = z*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-8))\/((-2)\/(-8)). Let f = 2.3 + -0.3. Let o be 54\/15*1\/6. Which is the nearest to f? (a) l (b) -2\/5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 + 1)*(-1 - 2 + 4) - 1 + 1 - 1 - 6 + 4 - 2)*(-23*r**2 - 24*r**2 - 65*r**2).\nAnswer: 336*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 5*t**3 + 6*t**2 + 5*t + 11. Let f(w) = -14*w**3 - 17*w**2 - 14*w - 32. What is 6*f(z) + 17*q(z)?\nAnswer: z**3 + z - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of k**4\/12 + k**3\/2 + 11*k**2 + 28*k. Let w(q) be the first derivative of d(q). Let r(p) = -2*p - 3. Give 6*r(z) + 7*w(z).\nAnswer: 2*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -10 + 1\/2*f**2 - 10*f. What is y(8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60*c**2 - 12 + 12 - 8*c**2)*(-97*c + 97*c - 16*c**2).\nAnswer: -832*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 6 = 0, 3*y + 7 = -8*j + 9*j for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 3*l + 44 = 11*x, -3*l = -3*x + 24. Suppose 0 = -u - x + 12. Suppose 2 = -g, 0 = 2*c + 4*g - g + 10. Put u, c, 11 in ascending order.\nAnswer: c, u, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 97756119?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 401 - 346. What is the third derivative of 101*t**3 - 10*t**2 - 12*t**2 + 92*t**2 + z*t**2 wrt t?\nAnswer: 606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**4\/5 + 151414*p**3 + 143308428693*p**2\/5 + 1490100604876*p + 96849886642756\/5 = 0.\nAnswer: -378509, -26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 764829\/13 - -19 - 27?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 10*x**2 + 3*x - 7. Suppose 2*a - 10 = 3*j, 3*j - 2*a + 3*a = 5. Suppose 4*h = -j*h + 40. Is u(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - (-2 + 2 - 1)) + (423 - 427) + 4.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200022020 (base 3) to base 7.\nAnswer: -53622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -5*c - 176, -10*u + 176 = -8*c - 8*u + 2*u for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -3*u**3 - 4*u**2 - 2. Let k(q) = q**3 - 12*q**2 + 20*q + 2. Let x be k(10). Let z(m) = -8*m**2 + 10*m**x - 3*m**2. What is r(c) - 3*z(c)?\nAnswer: -3*c**3 - c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -81800, -81827, -81880, -81965, -82088, -82255?\n\"Answer: -i**3 - 7*i**2 + i - 81793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/5 (b) 2 (c) -1429 (d) 1089\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3115473 rounded to three decimal places?\nAnswer: -0.312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*x + 2650 + 610 = -3790. Suppose 4*k = -4*d + 72, -72 = -4*k - 2*d - d. Calculate the remainder when x is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from csncssnsocc. What is prob of sequence no?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in nineteen quarters of a week?\nAnswer: 47880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*j + 2*p + 726 = -19*j, -2*j + 285 = p. What are the prime factors of (-1808)\/3*j\/(-96)?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -52 - -206. List the prime factors of n.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60558704 by 7569838.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 5*m + 5. Let y(z) = 3*z**3 - 21*z - 21. Let j(t) = 21*w(t) + 5*y(t). Let a be 3 + 3\/6*-8 - 0. Determine j(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d - 6. Let g(k) = -1. Let w(f) = 6*g(f) - i(f). Let c(v) = -4*v. Let n(x) = -2*c(x) + 3*w(x). Let b(t) = -4*t**2. Calculate n(b(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of 4*l**6\/3 - l**4 - 99*l**2\/2 + 10. Find the second derivative of g(k) wrt k.\nAnswer: 160*k**3 - 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.487 + -0.017. Let z = -0.46999892 + v. Round z to seven dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w**2 - 215*w + 53. What is t(73)?\nAnswer: 345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(600) - 6*sqrt(600)).\nAnswer: -sqrt(2)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*i - 3*i - 3*i to f*i + o and give f.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*b*j - 59*b*l**2 + 13*j*l**2*q**3 + j*q**3 - 2*q**3 with respect to j.\nAnswer: -8*b + 13*l**2*q**3 + q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in -1\/5, -5, 5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -103 + 101. Let a(w) = -2*w**3 + 3*w**2 + 4*w + 3. Give a(v).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 15) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46211962?\nAnswer: 2, 23105981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 3*c**2 - 2*c - 4. Suppose -18*u + 17*u - 239 = 0. Let p be u\/(-4) + (-8)\/(-32). Suppose p - 69 = -3*r. Give z(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.05599971 - -0.056. What is o rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1018 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -369+14\nAnswer: -355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 90913 + -22?\nAnswer: 90891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 4.15. Let y = v - -9.05. Round y to zero dps.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/34011 and -2\/18895?\nAnswer: 170055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 23 + -5 + -13 - 48.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/(-50)*(-2)\/(4\/(-5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 705525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57 and 164314717?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-5)*x*x**(-7))\/(x\/x**(-1)*x\/x**(2\/13)))\/((x**(-1\/2))**(-45)*x**(-4)*x*x**(-7)) assuming x is positive.\nAnswer: x**(-685\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5 less than 43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 787751237.\nAnswer: 7, 13, 1601, 5407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/2))**(1\/30))**(-1\/8) assuming l is positive.\nAnswer: l**(1\/480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5 + 0 + -4)*(-2 + 3). Solve -3*w = -2*c + 7, -14 - o = -5*w - 2*c for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/12 + 4\/(-96)*188. Does 23 divide -1 - m - (-635 + -23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1675779583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, 3\/2, 5\/501 in increasing order.\nAnswer: 5\/501, 3\/2, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -162, -313, -564, -915, -1366, -1917?\nAnswer: -2568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 + -25566?\nAnswer: -25560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 195 + -96. Is l a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -59366, -58918, -58454, -57968, -57454?\n\"Answer: n**3 + 2*n**2 + 435*n - 59804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3237?\nAnswer: 3, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/9 and -17\/2642?\nAnswer: 23778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, u: 6, k: 2}. What is prob of picking 1 u and 2 d?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, 3, 7.55 in descending order.\nAnswer: 37, 7.55, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (52\/6)\/(-26*(-68)\/(-1326))*(-4)\/(-2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1210 + -2223113331?\nAnswer: -2223121201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 0)*(f**4 + 3*f**2 - 3*f**2) - f**2 - 3*f**4 + 4*f**4 + 10*f**4 to y*f**2 + i + s*f**3 + j*f + h*f**4 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 s when two letters picked without replacement from {s: 1, f: 1, g: 1, r: 3, q: 2, m: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqcjqsejqqqjs. Give prob of picking 2 e and 2 q.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 4*r - 80 = 9*r, -5*y - 4*r + 141 = 0. Let f be (45\/(-4))\/(6\/(-80)). Calculate the highest common divisor of y and f.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (-9 - ((1 - 6) + 2)) - -6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7449008 - 185*v + 7449008.\nAnswer: -185*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - sqrt(500)*-1)*4.\nAnswer: 44*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ywwywryyyyyyyyy. What is prob of picking 1 r, 1 y, and 1 w?\nAnswer: 33\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 10:40 AM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 5*f - 2 - 8, 5*f = -4*s - 17 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.2 in -0.1, -0.2, 0.3, 1262?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1925\/22 + 1\/(-2) + 0. Let n = p + -74. Find the third derivative of 33*o**6 + 23*o**6 - n*o**2 - 86*o**6 wrt o.\nAnswer: -3600*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -395 in 5, -0.1, -4, -12, 0, 15?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 1.4. Let v = -1.06 - -0.56. Which is the third smallest value? (a) -4 (b) q (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102214 (base 5) to base 14.\nAnswer: -1374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1092\/27113?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gnwn when four letters picked without replacement from {g: 7, n: 2, i: 2, l: 3, w: 5, a: 1}.\nAnswer: 7\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -331238 - 307?\nAnswer: -331544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 35*c**4 - 95*c**3 + 95*c**3 + (-4 + 2 - 1)*(2*c**4 - 4*c**4 + 4*c**4) + 2*c**4 - 4*c**4 + 3*c**4.\nAnswer: 30*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 523867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 73038812281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 556*d + 9280. Calculate k(19).\nAnswer: -923","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 108 = -2*g. Let y = -28 - g. Does 15 divide ((-60)\/(-8))\/((-3)\/(-2) + y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 895 + -318. Let p = m + -579. Put -0.4, p, -206 in descending order.\nAnswer: -0.4, p, -206","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1007.3 rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 7. Let k(n) = -n**3 + 17*n**2 + n. Let a(v) = -5*v**3 + 94*v**2 - 2*v. Let x(s) = -a(s) + 6*k(s). Give x(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2042 is divided by 82.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fxjooff. What is prob of picking 1 o and 1 j?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of 39*t + 11\/60*t**4 + 1\/150*t**5 + 0*t**3 + 0 + t**2. Let m(d) = 0. Calculate d.\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 70 or 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(0 - (1 + -2)). What is the remainder when 8 is divided by (15\/10)\/(h\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 4 = 3*h, 4*x - 27 = -3*h + 2*h. Suppose h*n = 1 + 55. Solve -5*u + n*u = -12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 107402, 214805, 322208, 429611, 537014, 644417?\n\"Answer: 107403*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**3 + 263336*c**2\/3 + 965654*c\/3 - 117048 = 0 for c.\nAnswer: -4, 1\/3, 43893","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50)\/75*(-2)\/(-4)*-1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -31.\nAnswer: -3.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1034653396?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 11, k: 3}. Give prob of picking 4 x.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 55423537*w - 55423537*w - 268 - 8*w**2 as c + k*w**2 + s*w and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*z - 38. Let i(u) = u**3 - 5*u**2 - 5*u + 3. Let j be i(z). Let h = j - 1. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67251, -67256, -67265, -67278, -67295?\nAnswer: -67316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -12021824, -12021835, -12021852, -12021875, -12021904?\n\"Answer: -3*g**2 - 2*g - 12021819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 189 - 184. What is the nearest to 0 in 0.3, q, -28?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - 3*g - 7. Let p be d(-7). Let k = 50 - 41. Calculate the highest common divisor of k and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c + 4*s + 1493 = -11*c, 4*c = -3*s + 5915. What are the prime factors of c?\nAnswer: 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 356*b - 113*b + 236*b = -211*b - 24840 for b.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 92*p + 31*p - 228526 - 21779. What is the smallest common multiple of 555 and p?\nAnswer: 6105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -4 (b) 2\/7 (c) -5 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.41618 days in milliseconds?\nAnswer: 4874357952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-36*n**4 + 17*n**4 + 16*n**4)*(721 - 1475 - 638)*(3 - 3 + 1) to the form p*n + c*n**3 + f + j*n**4 + k*n**2 and give j.\nAnswer: 4176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/12 and -73\/41037?\nAnswer: 164148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1224, 5119, 11590, 20637, 32260, 46459, 63234?\nAnswer: 82585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 7*r**2 + 3*r - 8. Let c be g(-6). Suppose c*b - 36 = 7*b. What is the remainder when 22 is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u - 4*u - 16, w = -3*u + 119. Is w a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -89, 0.3, -1, -3\/4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 39.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 15, 3*v + 0*v + 21 = -5*h. Let z(y) = y**3 + 6*y**2 - 2*y + 5. Is z(h) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12222552 is divided by 20236?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22409 - 13483. What is the hundreds digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36252 by 954.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of z**5\/10 - z**4\/6 + 4*z**2. Let m be y(3). Let g = m + -23. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*((-20)\/(-16) + 4\/(-16)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + 129 + 3*(-104)\/(-39). Calculate the highest common divisor of g and 1035.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8a74 - -5?\nAnswer: -8a6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*i**2 + 0)*(i**2 + 0*i - 2*i**2 + 9*i).\nAnswer: -2*i**4 + 18*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9942)\/452 - ((-91872)\/12)\/348?\nAnswer: 1\/226","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 161. Let x(p) be the third derivative of p**5\/60 + 336*p**2. What is n(x(g))?\nAnswer: g**4 + 161","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + 9*y + 33665. Calculate r(-179).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -1\/14*d**4 - 1\/70*d**6 + 0*d**2 + 0 + 93*d + 9\/140*d**5 + 0*d**3. Suppose x(v) = 0. What is v?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 628409390.\nAnswer: 2, 5, 7, 8977277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*q**6 + 139753*q**5 + 2*q**3 + 10*q**2 - 366*q - 869?\nAnswer: -1680*q**3 + 8385180*q**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.264 in -2, -3, 0.2, 0.18, 20?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 29224283 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -382 + 369. Sort 3, u, -5, 13.\nAnswer: u, -5, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = i - 6*i - 494, -488 = 5*i + o. Let s = 96 + i. Which is smaller: -19\/6 or s?\nAnswer: -19\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 405\/36 - 2\/8. Let l be (s - -127)*2\/4. Suppose 4*o = 20, 0 = j - o - l + 10. Does 16 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r + 3. Let z be m(3). Let d = -2038 - -2041. Let n = -1.8 - 0.2. Which is the third smallest value? (a) n (b) z (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 531 is divided by 36.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -3023421230?\nAnswer: 3023421235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.22 (b) 0.5 (c) -4\/3 (d) -5 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + 31769892250\nAnswer: 31769892249.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 4)\/((-20)\/(-4))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 64654 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 494*h - 1\/2*h**5 + 93\/2*h**3 + 252 - 5*h**4 + 293*h**2 = 0.\nAnswer: -14, -2, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1309, 1311, 1325, 1357, 1413?\nAnswer: 1499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 0*u - u + (-2 + 3*u + 2)*(-11 + 0 - 6))*(-2 + 1 - 2).\nAnswer: 150*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 a when four letters picked without replacement from {a: 9, c: 5}?\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (197\/394)\/((-121)\/122 - -1) and 90.\nAnswer: 5490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 25 + -4*(-558)\/(-180)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 1. Solve -2*g - g = y for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9702 by -19.\nAnswer: -9702\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -2020111102?\nAnswer: -2020111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 56 = -6*f - 4*z, -3*z + 52 = 5*f. Let y = -2 + f. Let r(w) = w**2 + 2*w. Let x(j) = -j**2 + j + 2. Let d(b) = r(b) + 2*x(b). Calculate d(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 less than -291660?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 13*d**2 - 16*d - 3. Suppose 15 = 4*n - 29. Let u be v(n). Which is bigger: 64 or u?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/7 + 11549996*s**2\/7 - 23099998*s\/7 + 1650000.\nAnswer: 2*(s - 1)**2*(s + 5775000)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-2 + sqrt(245)*-2 - (sqrt(245) + (1 + sqrt(245))*-3)) + 0 + 1*sqrt(245) + sqrt(245) + 0 + -2)**2.\nAnswer: -28*sqrt(5) + 976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/10 + 1)\/(4\/20)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0846 - -1.0846. Sort -39, b, 2 in decreasing order.\nAnswer: 2, b, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a8993 + 517?\nAnswer: 1a91aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (38\/(-7) - 60\/(-140))*(-3839)\/5?\nAnswer: 11, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x + 1. Let l(a) = -2*a + 19. Let i(f) = l(f) - 5*v(f). Let w be i(-6). Let o = w + 8. Does 4 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m + 18 = 5*n + 9*m, -3*n + 3*m - 6 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and (-129)\/(-15) - (26\/10 + -3).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.42*149\nAnswer: 62.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d + 53. List the prime factors of g(10).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**5\/(((z\/(z*z**(-3\/2))*z)\/z)\/z))\/(z\/(z\/z**(-1)*z))**34)\/(((z\/z**7*z)\/z)\/(z*z**(-6))*(z*z*z**(-1\/4)\/z)\/(z\/z**(-4\/9))) assuming z is positive.\nAnswer: z**(2671\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 33425660 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zyyuuuuzzyuyuyyuyy. Give prob of sequence zu.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 289605, 0.67?\nAnswer: 289605","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 5*x**2 + 14*x + 4. Let j(d) = -4*d**2 - 15*d - 5. Let g(w) = 6*j(w) + 7*r(w). List the prime factors of g(-4).\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of 1\/2*f**2 + 1\/2*f**3 + 4\/3*f**4 + 0 + 31*f. What is the second derivative of a(x) wrt x?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p**2 + 51751 + 51923 - 103674 + 0*p + 0*p.\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 35 = 2*q + 2*q, 0 = -3*q + 15. Suppose -h - h = b - f, -9 = -3*b - 5*h. Let j(r) = b*r + 6 - 2 - 2. Determine j(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 22*i - 20*i - 30, 348*i - 3486 = -3*k for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - 1. Let q be (j\/15)\/(7\/((-175)\/20)). Let t be (-3)\/5 + (2 - 1). What is the closest to 2\/9 in 4, t, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000145126679 to 6 decimal places.\nAnswer: -0.000145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1386, -1403, -1420, -1437?\nAnswer: -1454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50029 is divided by 6252.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*1\/12*304\/76.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -1. Let t be (1 - (i - 2)) + (0 - -72). Let v = t + -11. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156 is divided by 69?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -1357*z**2. Let j(g) = -2*g. Give x(j(p)).\nAnswer: -5428*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 - r - 1. Let h(y) be the second derivative of 5*y**4\/3 + 5*y**3\/3 + 5*y**2 + 10*y - 41. Calculate -h(g) - 10*u(g).\nAnswer: -30*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31.8 - 5.8. Let r = 65 - b. Let y = r + -38.64. Is 2\/3 greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -4 (c) 193 (d) 1\/4 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 694*k - 4 = 695*k - i, -3*k - 5*i + 44 = 0. Solve k*m - 6 = -5*a, 2*m = 4*a - 28 + 32 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -352\/3579?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15735*-339.\nAnswer: 5334165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-142)\/(-6) + 13 - 13) + -41\nAnswer: -52\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(7\/5)*m**8)\/(m*m*m**(-9\/2)*m*m*m*m**6))**(-3\/4) assuming m is positive.\nAnswer: m**(-87\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 5108*j**2 + 2*j. Let p(s) = -s**2. Give u(p(r)).\nAnswer: 5108*r**4 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**8\/g)\/(g**(-5\/2)*g))\/((g*g**(-1\/4))\/g**6) assuming g is positive.\nAnswer: g**(55\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 11 = w, 7*w = -2*y + 3*w + 14 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of c**3 - c**2\/2 + c - 1. Let f be k(1). Suppose -2*q - 3 = -m + 7, 5*m + f*q - 50 = 0. Is 3 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 2*u**2 - 2*u + 1. Let v be d(0). Solve -v = b + 4 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -149 + 152. Let x be 18\/15*315\/18. What is the highest common divisor of g and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4910 < 4907?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 43133 (base 5) to base 12\nAnswer: 1832","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119*t**3 + 128*t**3 + 1482*t**2 + 1483*t**2 - 2965*t**2.\nAnswer: 9*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 11:31 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + c + 1. Let n(t) = -t**2 - 2116*t**3 - t - 4 - 3*t + 2109*t**3. Determine n(s) + 4*o(s).\nAnswer: -3*s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/9 - 715\/(-99) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - -3 - 1) + 2\/1. Solve s = q*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(70)*-3*-4)\/(-4*sqrt(20)\/sqrt(2) + sqrt(10) - ((sqrt(70)*2)\/sqrt(7) + sqrt(10))).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 67\/122309 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**2. Let a be -5*((-8)\/4 + 1). Suppose 2*i + 49 = -a*i. Let l(p) = -2*p**2 - 13*p + 6. Let x be l(i). What is j(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.3 + -13.3. Let p = o + 12.00089. What is p rounded to 4 decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2944 - 2940. Solve 2*g + 15 = b + 7, 0 = g + 5*b + a for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 4:43 PM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 4634454?\nAnswer: -4634446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3429106 is divided by 54?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/4 (b) -5 (c) 16 (d) -0.06 (e) 9\/605\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of s**2\/2 + 22*s - 71. Let r be q(-16). Solve 2*c = -c - 2*v + 3, 0 = 3*c + v - r for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19184 is divided by 4791?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4635 = 1139*t + 1068*t - 529*t + 47383 for t.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1758 - -1760. Let y = 0.06 + -0.034. What is the second smallest value in 0.5, y, l?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s**2 + 9*s - 11. Determine g(-2).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1571*d - 24451 = -561*d + 4839 for d.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r**2 - 5*r**2 + 7*r**2.\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2697.664nm to meters.\nAnswer: 0.000002697664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 63*a - 3. Let c(n) = -2*n + 14. Let d be c(6). Let b(r) = 1. Let p(v) = d*b(v) + x(v). What are the prime factors of p(1)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - ((7 - 0) + -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -573 + 573.3. Put 1, j, 52 in increasing order.\nAnswer: j, 1, 52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -5. Suppose -i + 1 = -w*p, -2*p = -3*i + 6 - 3. List the prime factors of (0 + 0 - i)*-11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*b = 61*b - 3*g - 22, 2*b + g = -0*g + 65 for b.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 478 + -466. What is the highest common divisor of z and 186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/d**(2\/13)*d*d*d*d**(-2\/9))**(-2\/61))**34 assuming d is positive.\nAnswer: d**(-36788\/7137)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 44*g**2 - 257*g - 78. Give k(-37).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o. Let d(r) = r**3 - 4*r**2 + 5*r - 4. Let j be d(3). Let x = 5 + -3. Let a(s) = -s**x + 3*s**2 - 3*s**j - s**2. Calculate a(b(i)).\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a45 + 2?\nAnswer: a47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 11115*s**2 + 10960*s**2 - s**3 - 2*s - 22269*s**2 - 2*s**4 as t*s**4 + h*s**3 + r*s + u*s**2 + p and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**2\/9 + 968*l\/9 - 3776\/3 = 0.\nAnswer: 12, 472","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4856399521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8626 - -8668. Solve 0 = z*i - 98 - 70 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/149650 less than 861?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -1235*h - 110. Let g(w) = -137*w - 12. Determine -55*g(u) + 6*y(u).\nAnswer: 125*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42 + -125\/3. Let o be (6\/10)\/((-3)\/2). What is the second biggest value in j, o, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {v: 2, x: 3, m: 4}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -53*i**3 - i**2 + 4. Let k(y) = 158*y**3 + 4*y**2 - 12. Let p(l) = 2*k(l) + 7*u(l). What is the derivative of p(c) wrt c?\nAnswer: -165*c**2 + 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -3*o - 17. Suppose 9*h - 6*h + 24 = 0. Let a be d(h). Let n(z) = z**3 - 5*z**2 - 7*z + 4. Is 26 a factor of n(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21 at most as big as 1\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = 4*i - 6*i - 15, -3*i = h + 14 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = 6*j - 2868. Is 8 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -306 + 1853\/6. Suppose -c + 3 - 6 = 0. Calculate the common denominator of i and (c\/4)\/(12\/(-94)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 110 - 110.5. What is the closest to -4\/5 in n, -2, 8?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - -1)*2\/(-4). Suppose 5 + i = s, -4*s + 43 = n. What is the remainder when 44 is divided by n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1419538, -1419603, -1419666, -1419727, -1419786, -1419843, -1419898?\n\"Answer: p**2 - 68*p - 1419471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1986\/(-9)*(-30)\/(-1168). Let a = n - 6\/73. What is the common denominator of a and -40\/13?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-16) + (-3)\/24. Which is the nearest to 2? (a) 0.02 (b) -1\/4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 - 39. Suppose 0 = 5*r - 7*r - 30. Which is smaller: b or r?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -2*a - 18, -14 + 5 = -3*l + 3*a. Let t be 3\/6 + (-7)\/l. Suppose 0 = 2*p - p - 4. Is p greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -21*l**2 - 139*l - 3. Determine o(-7).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from annannnnnnnaaa. Give prob of picking 1 n and 1 a.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -166199\/12 + 13839. What is the common denominator of 3\/(-8)*16\/(-828) and h?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -k**4\/4 + 4*k**3\/3 + 3*k**2 + 1. Let c be w(5). Let q be (50\/15)\/(-38 + 37 + (-1)\/(-3)). Sort q, -1, c in increasing order.\nAnswer: q, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a milligram in micrograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -13*z + 2. Let u be k(-6). Suppose 2*d = 3*n - 7, -5*d + n - 5*n + 40 = 0. Suppose d*s - u = -0*s. What is the highest common factor of 140 and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14397*h**3 + 14338*h**2?\nAnswer: 86382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2285, -4570, -6855, -9140?\n\"Answer: -2285*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1862 is divided by 210?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**4 - 2*g**4 + 2*g**4)*(4 - 6 + 6) + (-3*g + 2*g - g)*(2*g**3 - 14*g**3 + 10*g**3).\nAnswer: -4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 341127*l + 1023396. Calculate r(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - 2*c - 3. Let f(x) = -1. Let q be 7\/14 - (-2)\/4. Suppose -5*r + q = -4. Calculate r*v(g) - 4*f(g).\nAnswer: g**2 - 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 346152 and 50.\nAnswer: 8653800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-1\/3)*n*n)**(1\/11)\/(n**(-6)\/n*n*(n\/(n\/((n\/((n\/n**(-1))\/n))\/n*n)))\/n))\/((n\/(n**(1\/4)\/n))\/n*n**4*n\/(n\/n**6)*n**(4\/5)) assuming n is positive.\nAnswer: n**(-2843\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36 + 34.83. Let q = -0.17 - h. Put -4, -0.5, q in decreasing order.\nAnswer: q, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 16 = -b. Suppose -10 = -i + b. Solve 2*d = d - r + 1, -4*d + i = -3*r for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 15 + 0)*(0 - 3 + 5)*(-4*h - 2*h + 2*h)*(0 - 2 + 1 + (4 - 1 - 1)*(-1 - 4 + 1) + 0 + 3 - 7) in the form w*h + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62 - (33 + -84) - ((-1 - -1) + (-97 - 1)).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/((-32)\/(-12) - 3). Suppose c = 4*y - 5. Suppose -q = 5*u - 22, u + 3*u - 22 = -3*q. Solve -q*n - y*i + 6 = 0, -3*n + 0*n + 21 = -3*i for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -15.1. Let l be ((-4)\/6)\/((-4)\/18). Which is the nearest to q? (a) l (b) -5\/2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence noo when three letters picked without replacement from noooon?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101001001001111010010 - -11?\nAnswer: -101001001001111001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1887 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.019695 minus 0.3?\nAnswer: -0.280305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o + 2162. Let f(n) = -2*n**2 + 4*n - 87. What is f(h(r))?\nAnswer: -2*r**2 - 8644*r - 9339927","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -22, -95, -216, -385, -602, -867, -1180?\n\"Answer: -24*j**2 - j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7119e - 3?\nAnswer: -711a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 11 - 7 - -4 - -5. Find the third derivative of -3*a + 5*a + 2*a - 15*a**5 - 3*a**3 - y*a**5 - 2*a - a**2 wrt a.\nAnswer: -1680*a**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5060 - -5065. What is the nearest to 1\/2 in -1, w, 1\/46, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from qqqncgqgjgjc?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1.4, -222, -0.42, -1, 2\/31, 2, 3\/5?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*1 - -1006*(-9)\/18. What is the common denominator of 79\/18 and 1911\/a*(10\/18 + -1)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4008 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 12:48 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47 - 235 - 258 + 3*n - 209.\nAnswer: 3*n - 749","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 - 8*t - 1278. Calculate q(40).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/1 + 223 + (23 - 20). Suppose 0 = -4*i - 0*i + l. Let t = 66 - i. Solve 5*r = 3*y + 3 + t, 3*r = -y + 5 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0408441 nanoseconds in seconds?\nAnswer: 0.0000000000408441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**3 + 7*p**2 - 4*p + 5. Let q(t) = -2*t**3 - 6*t**2 + 5*t - 6. Calculate 5*q(j) + 6*w(j).\nAnswer: 2*j**3 + 12*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 179614 <= -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -5*g + 40. Let y be i(8). Sort 2, y, -72 in descending order.\nAnswer: 2, y, -72","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - 4*t**2 + 3*t + 3. Let w be o(3). Let r(q) = -q**3 + q**2 + 3*q - 2. Calculate r(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -18. Let p(b) = 17*b + 8. Let k(m) = -50*m - 24. Let a(v) = i*k(v) - 17*p(v). What is the first derivative of a(c) wrt c?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5059 + 5068 - (3 + 32 + (3 + -2 - 1))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -13 + (-15896)\/24 + 3\/9. Which is smaller: -679 or n?\nAnswer: -679","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3600 and 1422.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 208 + -201. Solve -d*n + 6*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 822*k - 60 - 629*k + 60.\nAnswer: 193*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 26 in 1\/2, 0.08, -0.4, 0.2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1128893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5452, -5420, -5388, -5356?\nAnswer: -5324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120 and 7545.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 15 = 4*i, 4*p - 4 + 44 = 2*i. Suppose -i*j = j - 825. Is 25 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138890000 rounded to the nearest one million?\nAnswer: 139000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2316 = y - 396, 2*y + g - 5427 = 0. Is 3 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000539738 to 6 dps.\nAnswer: -0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.017 and 20.\nAnswer: 18.983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 134154 and -2.3.\nAnswer: 134151.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -141.13 - 0.87. Let m = h + 142.4. What is the nearest to m in -5, -1\/3, -4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 15 = -2*c + k, -3*k + 9 = 0. Is (1*45)\/(c\/6) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -434 + 437. What is the fourth smallest value in 167, m, 3\/5, 0.2, -0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -5*v**3 + 344*v**2 - 365*v + 54945. Calculate w(70).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 383, 1534, 3457, 6158, 9643, 13918?\n\"Answer: v**3 + 380*v**2 + 4*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1101 (base 7) to base 10\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1394.\nAnswer: 2, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**2 - 186938900*u - 1747307616660500.\nAnswer: -5*(u + 18693890)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 1 + 4 - 2 - 1 + (0 + 2 - 1)*(3 - 5 + 3))*(190*w - 190*w + 3*w**4 + 3*w**2).\nAnswer: 9*w**4 + 9*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 2*k**3 + 76*k**2 + 342*k + 396 = 0.\nAnswer: -33, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -251, -247, -241, -233?\n\"Answer: p**2 + p - 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 857099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of 373*i**3\/6 + 386*i**2 + 137*i. What is the first derivative of q(o) wrt o?\nAnswer: 373","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23.5 - 67.3. Let s = w + -21.2. Let f = s - -111.842. Round f to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4*r**3 - 8*r**2 + 17*r - 70. Let o(u) = 2*u**3 - 3*u**2 + 6*u - 24. Let q(m) = -3*n(m) + 8*o(m). What is the derivative of q(i) wrt i?\nAnswer: 12*i**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*j - 15 = -2*v, 3*j - 15 = -3*v. Let u(w) = -w**3 + w + 15. Let p be u(v). Let c = -9 + p. Is c a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (135 - 139) + (-5 + 0 - (-2 - 0)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5*(sqrt(32)*-1)**2 + sqrt(32)).\nAnswer: 8*sqrt(2) + 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-514)\/(-329) + -11 + 13. Let u = -21\/94 - t. Find the common denominator of -149\/18 and u.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39994592657 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/2))**(-4\/17)*(c**(1\/3))**(12\/11)*(c*c\/c**(-1))**(3\/4)\/(c**2*c**6) assuming c is positive.\nAnswer: c**(-3941\/748)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3188\/11 - -290. Let v be -7*-30*8\/84. Suppose v = -7*g - 1. What is the nearest to 0 in 4, g, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22049949 rounded to the nearest 1000000?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24569 * 199.\nAnswer: 4889231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-16)\/(-12) - 1)*381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.25 * -1816.\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 != 1624666?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.09 (b) 0.4 (c) 2 (d) -2 (e) -0.263 (f) 0.3 (g) -18\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i + 6. Calculate u(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24 + 2066*i**3 - 2061*i**3 + 3*i + 6*i to the form c*i + g*i**3 + w + s*i**2 and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.9 >= 153.35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1208 is divided by 150?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -104, -251, -504, -869, -1352, -1959?\nAnswer: -2696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u + 3. Let x be t(7). Let w(j) = j**5 - 2*j - 4. Let z(p) = 1 - 2 + 2. Let v(g) = x*z(g) - w(g). What is the second derivative of v(a) wrt a?\nAnswer: -20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -1 + -1 + 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - 2) + (-3 - -4 - 9). Let q(v) = -2*v - 26. Let c be q(d). Let y(f) = f - 2. Give y(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -30835516*a**2. Let t(b) = -4*b**2. Calculate t(i(p)).\nAnswer: -3803316187945024*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 279110058?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1625476, 1625447, 1625418, 1625389?\n\"Answer: -29*k + 1625505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -77412, -77410, -77408, -77406?\n\"Answer: 2*p - 77414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (149\/(-298))\/((-17)\/(-12))\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 6 = 4*r. Let x = r - 0. Let o be (-1)\/3 + (-39)\/(-9). Solve -y = -o + x for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -27, -2\/13, 0.009?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1025.6141595 to the nearest 10.\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40.9 - 41.0276. Let y = o + 53.8276. Round y to the nearest integer.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(49)\/(sqrt(21)\/sqrt(3)) - (4*sqrt(77))\/sqrt(11)).\nAnswer: -3*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 2*i = 320. Let o = 4222 - 4034. Calculate the remainder when o is divided by i.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-10 + (32 - 35) - -127).\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 749 - 269. Calculate the greatest common divisor of 40 and t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3198 + 4520. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120020111 + -12101?\nAnswer: 120001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(225)*6 + (sqrt(63)*-2)\/sqrt(7) + sqrt(9)))\/((-6*sqrt(3)*-1 - sqrt(24)\/(sqrt(32)\/sqrt(4)))*6))**2.\nAnswer: 2523\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1 + (-138)\/(-8))\/(-2) and (0 - (0 + -30)) + (-3 - -6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11303 and 5334?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (145\/116)\/((8\/4)\/(-16))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13120, -27584, -42048?\nAnswer: -56512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 i when two letters picked without replacement from llxiyxiyllyly?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1862592 and 9792?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -13*v**2. Let l(p) be the first derivative of 4*p**3 + 184. Determine l(z(y)).\nAnswer: 2028*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000010996 to seven dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151135 - j**2 - 75570 - 75565.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -6. Let k(h) = -h**2 + 9*h + 1. What is the remainder when 58 is divided by k(w)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(1300)*2 - ((sqrt(1300) + sqrt(1300)*2)**2 + 0).\nAnswer: -11700 - 100*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 231297, 231439, 231581, 231723, 231865, 232007?\nAnswer: 232149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -401 (base 6) in base 4?\nAnswer: -2101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 2*g**2 - 2*g - 1. Let x be y(-2). Suppose -3*o + 31 = 1. Suppose x*k = 91 - o. Is 12 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 + 6*q - 2. Let s be (-5*(2 - 3))\/(-39 - -38). Determine g(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)*5)\/(4*sqrt(2)*-1).\nAnswer: -5*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s - 3. Let k(t) = 4*t - 3. Let f(y) = 3*g(y) - 2*k(y). Let u(x) = 2*x - 3. Let c(n) = n**3 + 2*n**2 - 2. Let h be c(0). What is h*u(q) + 3*f(q)?\nAnswer: -q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - x = 56. Let c(i) = -i + 9 - x*i + 9*i. Determine c(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fkfpppptfpttp. What is prob of picking 1 t and 2 p?\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5\/(15\/(-8)) - -3)*-6. Let l be 8\/(-21) - 6\/21. What is the closest to -0.1 in z, l, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-120589)\/52430)\/(1\/30).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = l + 2046. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, n: 1, x: 2, u: 4, j: 3, q: 4}. Give prob of sequence xuc.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*b**2 - 5*b**2 - 3*b**2 + 10*b**2 to the form w*b + u + k*b**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j + 6. Let x(a) = a + 5. Let t(v) = 6*g(v) - 5*x(v). What is the units digit of t(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - d = -u + 128, 5*u = -4*d + 664. Let r(g) = 0*g - g**2 - 130 + u - g. Let i(j) = -3*j + 2*j - 1 + 5 - 2*j**2. Determine -3*i(h) + 5*r(h).\nAnswer: h**2 - 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -248 = -3*u + 127. Let v be (-2 - -7 - 2)\/(u\/10). Let j = -8\/75 + v. Sort -5, j, 0.5 in ascending order.\nAnswer: -5, j, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) 1.8 (c) -237 (d) -2 (e) 0.5 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19*g**2*q - 947*g*q + 3031*q - 8 wrt g.\nAnswer: -38*g*q - 947*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.03 - -0.87. Let v = 1 - b. Let a = 2.07 - 1.77. What is the nearest to -1 in v, a, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -2. Let t = 3\/83 + -247\/2241. Let f = -77\/54 + t. Are v and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -18 and -19 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/(-12))\/((-2)\/3)*-3. Suppose -2*p + 5*j = k*j - 3038, -3*p - 2*j = -4547. What are the prime factors of p?\nAnswer: 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34201749 to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/2 + 1704*o - 1451808.\nAnswer: -(o - 1704)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, 0, 78\/19, 3, 2317, -5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 87251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**2 - 3*i. Let t(o) = -3*o**2 + 4*o. Give 4*f(w) + 3*t(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 3*d**2 + 8*d - 6. Let u be y(5). Find the common denominator of -19\/8 and 3\/(-6) + 212\/u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 199*c**2 + 8250*c - 73. List the prime factors of p(-49).\nAnswer: 2, 3, 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135 is divided by 48.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 144 and 12.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5204919 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 791377*x - 791423*x - 53 + 1893 = 0 for x.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33039773 is divided by 2438.\nAnswer: 2435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 8*v**2 - 22*v + 25. Give r(6).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, -18784, 2 in increasing order.\nAnswer: -18784, 2, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -698*h**2. Let d(r) = -162*r - 16. Let n(i) = -100*i - 10. Let t(g) = -5*d(g) + 8*n(g). Determine t(k(j)).\nAnswer: -6980*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of w**7\/840 + w**6\/360 - w**5\/30 + w**4\/24 - 19*w**3\/6 - 18*w**2. Let r(f) be the first derivative of b(f). Determine r(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d - 8. Let u be x(9). Let a = 11 - u. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 10*i - 5*i = -285, 2*i = q - 95. Let x be (-12)\/(2\/(28\/3)). Let a = q + x. What are the prime factors of a?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*b - 1 - 95. Calculate the remainder when 93 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, q: 1, g: 2, z: 3, w: 1, d: 3}. What is prob of sequence wz?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.961929 - -0.10705167.\nAnswer: -5.85487733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 338 - 1523*w + 356 - 696 in the form x*w + z and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2*b - 4 = 0. Suppose b*w = 8 + 8. Solve 3 = w*m + 11 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (-851)\/(-74))\/((-9)\/(-12))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.8, 7, 4\/11, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4260 = 4*l + 4*b, 0*l + 2*b = 4*l - 4272. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20084600 and 800.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*y**4 - 19887*y**2 - 1267434*y wrt y.\nAnswer: 264*y**2 - 39774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224*x = -5*b - 228*x + 10, -b = -3*x - 2. What is the remainder when 1232 is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -90 by 44.\nAnswer: -45\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3 + 3*b**3 + 7180*b - 48*b**2 + 64 + 0*b**4 - 7164*b + 4*b**4.\nAnswer: 4*(b - 2)**2*(b + 1)*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 1 - 5 - 796895*d + 796589*d.\nAnswer: -306*d - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 125.6233 + 0.3767. Are b and 3\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 l, and 1 o when three letters picked without replacement from nxutuxlnnluox?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 28*v**2 + 66*v + 186. Give a(-30).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -8*j**3 + j**2 + 2*j + 2. Let c(d) = d**3 - d**2 - d - 1. Let q(l) = 2*c(l) + i(l). Determine q(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3436 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -4 (c) 0.1 (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01929? (a) 0.2 (b) -4 (c) 5 (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82 = 3*b - 14*b - u, 1582*b = 1584*b + 9*u - 59 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 31 + 2366?\nAnswer: 2397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 961212173 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 117749 to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 44*c - 31*c + 37 - 2*c**2 + 4*c**3 - 6*c**2 - 5*c**3. Let v be a(-9). Suppose 6 = -4*u + 2, u - 7 = -2*b. Sort 2, v, -4, b in decreasing order.\nAnswer: b, 2, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -151541\/10736 - -869\/61. What is the common denominator of -51\/44 and l?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.797336 milligrams to kilograms.\nAnswer: 0.000000797336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 1 + -2 + 4. Suppose 5*r - 27 = w + 3, -40 = -k*r + 5*w. Solve 0*x - r = 5*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 699*n**2 - 16. Let z(q) = 8*q + 4. Determine a(z(c)).\nAnswer: 44736*c**2 + 44736*c + 11168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 19*b**3 - b. Let j be (-16)\/(-9) - (-30)\/135. Let s be (-1)\/2*4\/j. Let y(q) = 5*q + 4. Let x be y(s). Determine h(x).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i**3 + 2*i**2 + 5*i + 1. Let t(d) = -16*d**3 + 9*d**2 + 26*d + 5. Let c(b) = 11*q(b) - 2*t(b). Let r be (-60)\/27 - (-2)\/9. Does 17 divide c(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1, 103756, -2\/9, -3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) - 2*(sqrt(78)*-2 - sqrt(78)))\/(sqrt(6) + sqrt(24)\/(-3*sqrt(4))).\nAnswer: 21*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 141895 and 13865.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 - 80 + 23 - 2071*o + 29.\nAnswer: -2071*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36922*a**3*k**3 + 2*a**3*k - 42143*a**2*k - k**5 wrt k?\nAnswer: 221532*a**3*k - 20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -230, -1220, -2880, -5210, -8210, -11880?\n\"Answer: -335*r**2 + 15*r + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -5*w**3 - 6*w**2 - 5*w + 3. Calculate x(-2).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 263383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is cf (base 16) in base 3?\nAnswer: 21200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19229304?\nAnswer: 2, 3, 541, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, 3\/113, 0.2, 1\/3, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10723.\nAnswer: 10723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10228754 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -7a64?\nAnswer: 7a69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2160) - (sqrt(3840) + (sqrt(3840)*1 - sqrt(3840) - sqrt(3840))))\/(-4*(sqrt(432) - (sqrt(432) - -3*sqrt(432)))).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1 - 12\/((-96)\/(-22)) and 409\/468 - (-6)\/27.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -15732 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 33197 divided by 3?\nAnswer: 33197\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 7) + -8 + 4 + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -1. Suppose 6*k - 18 = v + k, 3*k - 6 = 3*v. Is v at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -2\/7 (b) 0.3 (c) -5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -112430 - 111?\nAnswer: -112541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40457, 80931, 121407, 161885, 202365?\nAnswer: 242847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - y - 55 - 13 = 0, -3*k = 3*y - 66. Suppose 0 = -4*i - 5*x + 13 + k, -23 = -5*i - x. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 914*g**2 - 460*g**2 - 452*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -716, -2559, -5622, -9905, -15408, -22131, -30074?\nAnswer: -39237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fourty-six fifths of a tonne?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 6*h**2 - 2*h - 7. Let t = 1140 - 1141. Let w(z) = -z**2 + 1. Give t*s(p) - 4*w(p).\nAnswer: -2*p**2 + 2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.44435 + 0.1893. Round m to two decimal places.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 11:00 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) -158 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wf when two letters picked without replacement from uwffufffffoufff.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**5 - y**3 + y**2 - 2*y - 1. Let n(w) = 253*w**5 + 5*w**3 + 8*w**2 + 10*w - 11. Let l(k) = -5*b(k) - n(k). Find the third derivative of l(f) wrt f.\nAnswer: -15480*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2391 and 4700.878.\nAnswer: 4701.1171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 183611?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3208, 5330, 7378, 9316, 11108, 12718?\nAnswer: 14110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 642.6 + -0.4?\nAnswer: 642.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 2 + 4 = -3*u, u + 9 = l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3410 - 1710680*j - 3410.\nAnswer: -1710680*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 9*k - 48 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 158124 divided by -13177.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + -87)\/(4 - (-3 - -5)). Which is smaller: 3 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*o**2 + 51*o**2 - 149*o**2 + 46*o**2.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 342640262?\nAnswer: 342640262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008498989 to seven dps.\nAnswer: 0.000085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0*q)**(1\/6)\/(q**(1\/2))**(-26)*(q**(-1))**30*(q**(-1))**(-21) assuming q is positive.\nAnswer: q**(25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.66940828 plus -739.5?\nAnswer: -746.16940828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-80)\/(-13) - 14*78\/182.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1786, -3799, -5804, -7801?\nAnswer: -9790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ev when two letters picked without replacement from tveetspeveptseepep.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2146 (b) 1\/3 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -23 - (180 + -165) - (4 + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 3 = 2*s - 52, -5*s + 172 = 4*g. Suppose 2*j + 4*x - 46 = s, 5*j - 195 = -4*x. What is the remainder when 66 is divided by j?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -19, 11, 93, 233, 437, 711?\n\"Answer: i**3 + 20*i**2 - 37*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 6674085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 27585 = 47*j - 45*j, -5*j + 25 = 0. Are b and -5518 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = 3*l - 8*l + 2*j, 0 = 2*l + 4*j - 32. Suppose r + 256 = 9*r. Let c = r - l. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/3 or -2.2718?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 16*h - 12*h = 0. Which is smaller: -18\/91 or h?\nAnswer: -18\/91","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572321.4cm in millimeters?\nAnswer: 5723214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 415496*u**3 - 21068*u**2 wrt u.\nAnswer: 2492976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*h**3 + 48 - 106 + 57 + 2*h)*(5 - 5 - 2) to the form u*h**2 + a*h + x + k*h**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 3 (b) 4 (c) 42 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 3*v - 2*n + 2, 0 = v - 2*n + 2. Let g be 191\/9 + (-18)\/81. Let i = g - 22. Sort i, -3, v in descending order.\nAnswer: v, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of 11*d**6\/120 - d**5\/20 + d**4\/24 + 2*d**3\/3 - 16*d**2. List the prime factors of l(2).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5909*w - 610*w + 499*w.\nAnswer: 5798*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103845864.\nAnswer: 2, 3, 4326911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11400620219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 3*u + 9 = 0, 5*u - 15 = -5*z. Suppose 0 = 3*v - 2*r - 50, -v + 15 = -z*v + r. Is v a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18e3 (base 16) to base 12.\nAnswer: 382b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61049 is divided by 29?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 5*s - 9*z - 195, -2*z = s - 30. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133)\/sqrt(343) - sqrt(19))*-2 - sqrt(114)\/(sqrt(120)\/sqrt(5)))**2.\nAnswer: 5491\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = 2*y + 18. Let z = y - -125. Does 19 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, h: 3, o: 2, d: 6, u: 2}. What is prob of sequence dud?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -6. Suppose 44 = -2*q - x*q. Let j = q + 21. Calculate the greatest common factor of 90 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 24 + e8?\nAnswer: 11c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -107 + 107. Suppose -13*y + 16*y - 2373 = a. Suppose -10*z + 11*z = y. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2483 equal to 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 768746.6 millennia?\nAnswer: 7687466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 814738 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.6 - -0.2. Let i = 183 + -4574\/25. Let c = 0.5 - 0.2. What is the nearest to i in -2\/15, c, q?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u. Let h(j) = -47*j - 360 + 360 + 2*j. Give h(p(y)).\nAnswer: 45*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 56*h = -129*h + 72*h - 35, 0 = 4*x - 3*h - 170 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3528194 is divided by 7555.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 83*h - 4521 = 78*h, 4*x + 3*h - 9063 = 0. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10*(-1 + 78\/12). Let b(g) = -24 - 34 + 3*g + c. What is b(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 115\/275 + (6\/33 - 0)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 518 at least 518?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29626874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 266 = -3*v + 106, -v + 107 = -5*y. Suppose -15 + 4 = i - 5*g, -3*i + 4*g - 88 = 0. List the prime factors of 9\/i - v\/(-8).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-11 - -15)*(4\/4 - -7317)?\nAnswer: 2, 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 + 4*p**2 + 7*p**4 - 5*p**4 - 6 - 42*p**3 - 5*p**2 - 6 to the form w*p**4 + k*p**2 + a + y*p + j*p**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 + 23.8. Which is the third biggest value? (a) -3 (b) 5 (c) -0.1 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4083 = -52*u + 21243. Calculate the remainder when u is divided by 68.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (-4)\/10 - 69646\/157140. Is r at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 7990 = 3*q + 7954, 8 = p + 3*q for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2, -23, -62, -115, -182?\n\"Answer: -7*x**2 - 4*x + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3*r**2 - 1084*r - 2501. Determine k(-359).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 8058*b**3 + 2*b**2 - 3*b + 2. Is a(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of -b**6\/60 + b**3\/6 + b**2. Let q be v(-1). Suppose 9*g + 0*g**2 - q - 3*g**2 - 5 + 2 = 0. What is g?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**4 - 174*d**3 + 327*d**2 + 504*d.\nAnswer: 3*d*(d - 56)*(d - 3)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**3 - l**2 - l - 4. Let m(t) = 2*t**4 - 12*t**3 - 193*t**2 + 5*t - 747. Let c(u) = -m(u) - 6*q(u). What is the second derivative of c(k) wrt k?\nAnswer: -24*k**2 + 398","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l. Let q(a) = -2*a - 5751*a**2 + 4083*a**2 + 2*a. Calculate q(z(d)).\nAnswer: -15012*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000004304004569 rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 0 = -4*y - 1, 3*y - 7 = 4*g. What is the tens digit of y\/(((-1)\/111)\/(1\/(-3)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22\/55*13\/(312\/90)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14 + -7?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -4*s + 78, 3*q = -s + 24 - 15. Let u(l) = 2*l**2 - 35*l - 20. What is u(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*1\/3 + (-2)\/(-1).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1147 * -9.3.\nAnswer: -1.06671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12126965 rounded to five dps?\nAnswer: -0.12127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + 26*a - 6. Let j be b(14). Let u = j + -1107\/7. Find the common denominator of -13\/6 and u.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -116, -237, -400, -605?\nAnswer: -852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-394)\/(-8) + (-3)\/(-4). Suppose -37*z = -g*z + 3471. Which is bigger: 268 or z?\nAnswer: 268","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-300) - 49206\/(-27800).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -2*m + 36. Is 6 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 700, 1268, 1844, 2434, 3044, 3680, 4348?\n\"Answer: g**3 - 2*g**2 + 567*g + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -14\nAnswer: -4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -378*y - 60. Is 24 a factor of d(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n**(-2\/11)\/n)\/n)\/n*n*n**(-23)*n)\/((n\/(n\/((n*n**(-34))\/n)*n*n)*n)\/(n\/(n\/(n\/((n*n*n*n*(n\/n**(1\/10))\/n)\/n))))))**(-7\/8) assuming n is positive.\nAnswer: n**(-6867\/880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 11:41 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of -i**4\/3 - i + 1. Let y(p) be the first derivative of k(p). Let b(o) = -2*o**2. What is b(y(z))?\nAnswer: -32*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 17835\/1640*16\/6*1?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 10 + 32 = -4*d, 15 = -q - 3*d. List the prime factors of 51*1*q\/(-18 + 0).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1616598170 - -4?\nAnswer: -1616598166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -11*g**2 + g. Suppose -3*s - 4*c = -9, 3*s + 3*c - 7 = 2. Let h be (-80)\/(-280) + (-38)\/(-14). Suppose 6*z = s*z - h. Give t(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 778753, 1557510, 2336267, 3115024, 3893781?\n\"Answer: 778757*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r. Let l(n) = -74*n + 4. Give -l(q) + 5*x(q).\nAnswer: 79*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 427244029 + -427243439.000161. Let u = -590 + y. What is u rounded to 6 decimal places?\nAnswer: -0.000161","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w + 19. Let i(m) = 2*m - 1. Let x be i(4). Suppose d + x = -4. What is the units digit of j(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11144548 divided by -5.\nAnswer: 11144548\/5","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -179963, -359931, -539899, -719867, -899835, -1079803?\nAnswer: -1259771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27777201?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1138207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-6)\/9*6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30)\/sqrt(3) + sqrt(10))*3)\/((sqrt(2) + sqrt(32))*-5).\nAnswer: -6*sqrt(5)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14 + 1?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-17 + 18 - -1) + 8\/(-3)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 13 (b) -1.7 (c) 24 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0017718 rounded to 5 decimal places?\nAnswer: 0.00177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/2100 and -73\/114?\nAnswer: 39900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mww when three letters picked without replacement from {e: 1, v: 1, n: 1, w: 2, m: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.02 - 3.02. Let n = 30 + o. Let s = 31 - n. Which is the biggest value? (a) 2 (b) s (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 0) + 3 - -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*(1 + (139\/2 - 1)). Let u = x - -53. Suppose 12*h = 8*h + u. Is h a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*f = 15 + 5, 5*f = -w - 25. Suppose -5*l + 7 = -q, w = -3*l + 4*l + 3*q - 11. Suppose c - 76 = -5*s, -l*s + 0*s + 163 = 3*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 433*o - 430*o + 59 = -4*q, -5*o = 147*q + 1642 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8256.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*d**3 + d**3 + 7*d**4 + 4*d**4 + 2*d**2 + 8*d**3 to w*d**4 + z + s*d + c*d**3 + g*d**2 and give w.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tqpsqzaaasqt. Give prob of picking 1 s, 1 p, and 2 q.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 4*j**2 + 51*j + 135. Calculate h(-6).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 2.3. Let k = 2.6 - 0.6. Let t = -637 - -632. What is the biggest value in k, t, i?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8866 + -8860)*((-76)\/6 + -2).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -15603 + 4 + 0 - 1. What is a rounded to the nearest one thousand?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-4)*y*y*y**(-2\/5)*y*(y**(3\/2))**(1\/13) assuming y is positive.\nAnswer: y**(-167\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4820517609 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -12681*z + 1 - 2 - 2*z**3 + 12637*z + 1 in the form m*z**3 + a + l*z**2 + n*z and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6453 + 6605. Solve u - 44 = -54*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*-1*((sqrt(57) + sqrt(57) + sqrt(228) - sqrt(57)) + sqrt(57))*-3)\/(((sqrt(42)*-2)\/sqrt(7))\/(-2*sqrt(162))))**2.\nAnswer: 7978176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 345 + -340. Suppose -9*p + i*y - 214 = -6*p, p = y - 74. What is p rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5699178323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 539?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3168589\/234 - 13541. What is the common denominator of 71\/24 and x?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 10 = 0, 2*m - 3*o + 5 = -0*m. Suppose 0 = j - l, -j + 4*l - 5 = -2. Sort m, 4, j, 0 in descending order.\nAnswer: m, 4, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 153954a (base 12) to base 3\nAnswer: 22002220101211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -68 - -72. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, y: 1, k: 3, p: 1, o: 8, x: 1}. Give prob of picking 1 y, 1 x, and 1 p.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -522757 or -522776?\nAnswer: -522776","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 3*a + 51. Let n(s) = 35*s - 3. Suppose -14*c = -6*c - 8. What is the remainder when n(c) is divided by a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 9394.\nAnswer: 28182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -15, 35, 2.\nAnswer: -15, -1, 1, 2, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -6*d**2 + 17*d + 2. Let k(q) = 3*q**2 - 9*q - 1. Let c be 0*(-3)\/12 + -7 + 154\/11. Give c*k(m) + 4*w(m).\nAnswer: -3*m**2 + 5*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*p = 8. Let c(f) be the second derivative of f**4\/6 - f**3\/3 - f**2\/2 - 33*f. Let x(t) = -9621 - 9615 + 19235. What is p*x(n) - c(n)?\nAnswer: -2*n**2 + 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 102244653 and 51?\nAnswer: 1738159101","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - 15*h - 23. Determine f(16).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -28, -23 in ascending order.\nAnswer: -28, -23, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 180*w**2 + 19 - 13 - 87*w**2 - 15 - 20 to s*w**2 + o + c*w and give o.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 119*v**3 - 81.\nAnswer: 357*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(22\/(-143)*-26)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 69 = 2*j, 0 = -2*b - 0*j - 2*j - 36. Let s = 2 - 0. What is the tens digit of (b + s)\/((-3)\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -a - 1, -a - 2*a = -2*u - 7 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -6*d**3 + d - 1. Let h be j(1). Is (10\/h - -1)*-51 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s - 4. Let h be f(8). Suppose -h*p + 0*w - 2*w + 16 = 0, p + 2*w + 2 = 0. What is the remainder when 21 is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.273088 and -13?\nAnswer: 3.550144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 19*a**2 + 2060*a - 19. Let s be y(-56). Suppose -3936 = -0*u - 4*u. Let m = u - s. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -10020?\nAnswer: -10012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16705.\nAnswer: 5, 13, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8031 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1037*s - 1103*s + 22080 = -300*s for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -16*x**2 + 14. Let o(r) = 5*r. Calculate d(o(y)).\nAnswer: -400*y**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - 4. Let r = -8 - -5. Let q be d(r). Suppose -68 = -q*u + 22. Calculate the smallest common multiple of u and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2088 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 2*c**2 + 16*c + 5. Let a be g(-3). Suppose 0 = -5*k - 5*t + a*t + 144, -t - 2 = 0. Is 5 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 85 - 76. Which is smaller: i or 10?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 PM and 4:24 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, k: 2, d: 1, h: 1, e: 1, r: 1}. Give prob of sequence hk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*a - 13*a - 12, 96*w - a - 22 + 6 + 211 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2496 and 12865632.\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjwjjwjjjwjj. Give prob of picking 3 j.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 12:22 AM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8577, -8582, -8589, -8598, -8609?\nAnswer: -8622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -4\/7, -4, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(468)*3*-2 + (sqrt(1573) + 2 + sqrt(1573))**2 + sqrt(13) + sqrt(208) + -1.\nAnswer: 57*sqrt(13) + 6294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -317 + 321. Suppose 2*i - 7*i = -4*a - 7, 3*i - a - 7 = 0. Solve i = -7*s + g*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1332765.\nAnswer: 3, 5, 7, 4231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, t: 2}. Give prob of picking 1 c and 1 t.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1346 + -768. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -s + y - 96412, -289204 = 3*s - y. What is s rounded to the nearest one thousand?\nAnswer: -96000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c*c\/((c*c**(2\/11)\/c)\/c))\/(c**10\/c))\/((c\/(c\/c**(-10)))\/(c\/((c*c*c**3*c)\/c))) assuming c is positive.\nAnswer: c**(20\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = s - 4 - 1, -2*s = -5*f + 1. Suppose s*l - 5 = -1. Suppose -2*m = -3*b + 7*b + 4, 0 = m - 3*b - 13. Which is greater: m or l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3 + (-6*sqrt(77)\/sqrt(7))**2.\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - (-4587279)\/(-36)) + -4. Let t = 242869\/2 + f. Let a = 5985 + t. What is the common denominator of 32\/15 and a?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 10:58 PM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3 = 7. Suppose -3*s = 5*y + 211, -s - c*s - 170 = 4*y. Let x = -11 - y. Does 15 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -224.\nAnswer: -672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18460 - -18460. What is the third smallest value in -0.21, a, 5, 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 3*i + 1110, 43*c + 5*i = 45*c - 705. Which is smaller: c or 363?\nAnswer: 363","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h + 2. Let i(l) be the second derivative of -l**4\/12 - l**3\/6 - 2*l**2 - 6*l. Let j(w) be the first derivative of i(w). Determine -3*d(c) - 4*j(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -8*l**2 - 6*l + 50. Let f(g) = -16*g**2 - 11*g + 101. Let c(v) = -3*f(v) + 5*p(v). Differentiate c(i) wrt i.\nAnswer: 16*i + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**3 + f**3 - 4*f**3)*(-3 + f**2 + 3) + 10*f**5 - 12*f**3 - 20*f**3 - 11*f**5.\nAnswer: -2*f**5 - 32*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -7b7 (base 14) to base 5\nAnswer: -22113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -480 by -2.\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4\/5, 75, 0.7, -5\/4?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 63*u**2 - 3105*u + 64. Give z(50).\nAnswer: 2314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/6 of a day?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 57352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**2 - 3*z**2 - 9*z**2 - 2*z**2 + 2*z - 2*z + (3 - 4 - 4)*(0*z**2 + z**2 + z**2) to b + o*z**2 + v*z and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2302710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 874.266 + -870. Let d = m - -0.034. Let s = 0.7 + d. Which is the second biggest value? (a) -4 (b) 2\/9 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.026 in 1, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 2\nAnswer: 0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 1)*-3*((-200)\/24 + 7).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 9592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**4\/4 - 251*m**3\/2 + 287859*m**2\/4 + 581678*m + 1167308 = 0. What is m?\nAnswer: -841, -4, 347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 292 = 19*i - 449. Calculate the greatest common factor of 52 and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -13. Let o be -2*g\/56*-2. Let s be ((-30)\/24)\/(2\/(-8)). What is the third biggest value in -3, s, o?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1775318504 and 5.\nAnswer: 1775318509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44014.69 grams to nanograms.\nAnswer: 44014690000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.908 times -10?\nAnswer: 9.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27354030 and 7656.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 66827 (base 16) to base 12\nAnswer: 182b9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 6:53 AM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13.65 - -8.65. Sort -2\/3, 12.8, c in decreasing order.\nAnswer: 12.8, -2\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of 3*m**4\/2 + 2*m**3\/3 + m**2\/2 + 2*m - 64. Let k(t) = 13*t**3 + 5*t**2 + 2*t + 5. Determine 5*d(b) - 2*k(b).\nAnswer: 4*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 27451141?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-5)*o**(-5)*(o\/o**1)**(-14\/11) assuming o is positive.\nAnswer: o**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (68\/24 - 1) - -3\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 388, 772, 1156?\nAnswer: 1540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 0.18 (c) 0.057432\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -854*s**4 + 176*s - 2 wrt s?\nAnswer: -10248*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*p + 11*p + 7*p + 8*p.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -146\/585 + 9\/65. Let y = i + -23\/36. Which is the third biggest value? (a) -0.4 (b) y (c) 7 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 3*g - 5*t + 3486, -t = 0. Let a be g\/(-12) + (-5)\/20. Let o = a + -81. Is 13 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2)*(4*v - 3*v + 4*v + (4 - 4 + 2)*(-3*v + 32*v + 12*v)).\nAnswer: -87*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, q: 1, u: 2, c: 1, x: 5}. Give prob of picking 1 c and 1 q.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b - 2*s - 16, 3*s + 5 + 10 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43 + -43. Suppose -2*s + h = -4. Find the common denominator of 1\/10 and (-163)\/(-132)*s - 3.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of 6 + 0*o**3 + 0*o**2 - 1\/5*o**5 + 1\/4*o**4 + 0*o. Factor v(w).\nAnswer: -w**3*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60109*s - 5598*s + 43584*s.\nAnswer: 98095*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 10*i**3 + 5*i**2 + 11. Calculate m(-3).\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 515614 + -250021. Suppose g = 6*m + 2845593. What is m rounded to the nearest 10000?\nAnswer: -430000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of 0*m**3 + 0*m - 5\/24*m**4 + 1\/60*m**5 + 0 - 139*m**2. Calculate u(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 4*d**2 + 0*d**3 + 3 + d**3 + 0*d**3 + d. Suppose -3*k + 6 = 0, 0*j + k + 6 = -2*j. Let x be c(j). Let f(u) = -2*u - 1. What is f(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (20\/25)\/(16\/200). Let z(r) = 8*r**2 + 2 - 23 - 1 - 7*r**2. What is the tens digit of z(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 151*h**2 - 12958*h + 1605. Give r(61).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of -4619*z**7\/210 - 49*z**3\/6 + 3553*z**2. What is the first derivative of j(s) wrt s?\nAnswer: -18476*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9635 + 2630 - 45930 + 17692)*(c - c - c**2).\nAnswer: 15973*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3961 is divided by 32.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 362259389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2*y = 3*z + 1, z - y + 2 = 0. Let n be z\/2 - 9\/(-2). Suppose 3*j - 2*j = 0. Put j, n, 1 in increasing order.\nAnswer: j, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 701, 1201, 2029, 3179, 4645, 6421, 8501?\nAnswer: 10879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23\/6 in 0.5, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-2)*2\/(-4). List the prime factors of 2\/(2 + t) + 8.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2522 less than or equal to -3645698\/1445?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/18)\/((-4)\/(-6)). Let l(a) = 7*a**2 - 2*a - 1. Give l(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of -2*c**7\/35 + 5*c**4\/8 + 10*c**2. What is the second derivative of i(a) wrt a?\nAnswer: -144*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k**2 - 2*k - 8. Let z(x) = -x**2 + 1. Let f(d) = -v(d) - 5*z(d). Let h(p) = 2*p**2 + 3*p + 4. Calculate 3*f(b) - 2*h(b).\nAnswer: -b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*a**2*z**2 + 116*a**2*z + a**2 + 249*a*z**4 + 2*a*z + a wrt z.\nAnswer: -24*a**2 + 2988*a*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.88 * 26.24.\nAnswer: -206.7712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(66)*-1)\/sqrt(3))\/(3*(sqrt(14)\/(sqrt(7)*2) + sqrt(2))).\nAnswer: 8*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -2*k - 24. Suppose 681 - 1505 = -135*x + 796. Solve b + 7*w - 3*w = x, k = -3*b + 4*w for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 - 52. Let y(m) = 229 + 22*m - 113 - 114 + 16*m + 2*m**2. Let u be y(g). Calculate the greatest common divisor of 43 and u.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 279 - 103267276.\nAnswer: -103266997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -500734854*u - 923078?\nAnswer: -500734854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i - 63 = -23*i. Solve 3*n = -9, 0 = -2*m + 3*m + 4*n + i for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*i - 36 = 0. Suppose -6*d + 140 = -d. Suppose 5 = -3*b - 2*b, d = -2*r - 4*b. Is i >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 18*k**2 - 24*k - 445. Let m be i(14). Solve -j = -2*c - 7, -2*c + 0*j + 13 = m*j for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -332 + 313222?\nAnswer: 312340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**5 + 4351*j**4 - 4354*j**3 - 8704*j**2 = 0 for j.\nAnswer: -4352, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -217816 and -216023 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 654196913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1629 divided by -181?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f - 3*f - 659*f**2 - 223*f**2.\nAnswer: -882*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uqqaaqa. What is prob of sequence aq?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -9 (c) 4 (d) -3\/132490 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 17 + (11 - (1 + 16)) + -7\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 5*m**2. Let i be (0 - 2)\/(2 - 3). Let q(a) = -a**i + a**2 - 6*a**2 + 4*a**2. Determine q(y(f)).\nAnswer: -50*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3. Let s(v) = -7*v**3 + 6*v**2 - 3*v + 2. Let y(l) = 6*a(l) + s(l). Let j be y(5). Suppose j = -2*u + 36. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -110668961*w**2 - 64235089*w.\nAnswer: -221337922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from ddodooeeeddde?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 238 - 410242*h**3 + 3*h**4 + 410242*h**3 + 2*h**4 + 3*h**2 to q*h**4 + n + f*h + r*h**2 + d*h**3 and give n.\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49 - 1)\/(70\/(-15)*(-78)\/182).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1098759 divided by -1\nAnswer: 1098759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 42, 70?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 37*o + 137. Calculate h(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -13.372 and 0.63.\nAnswer: -12.742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -70 - -95 - 17 - (0 + 0 + 1) - -36\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 5*f. Let m(t) be the third derivative of -15*t**4\/8 - 4*t**2 + 27*t + 4. What is m(h(s))?\nAnswer: -225*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence led when three letters picked without replacement from {j: 1, i: 1, e: 1, l: 4, d: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -54*u - 99*u + 5489793. List the prime factors of u.\nAnswer: 53, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -315.756 * -5.\nAnswer: 1578.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 27*b - 4215 = -29*b - 4247, 0 = -4*d + b + 142 for d.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 10*l**3 - 2*l**2 + 4*l - 3. Determine d(2).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 125 - 121. Is 16 a factor of (-2)\/(24\/(-777)) - 3\/s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xbbwxxbbwwbbw. Give prob of picking 3 b and 1 x.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 70*w - 73*w + 7722. Suppose 3*v - 4272 = -5*m - v, 3*m - w = 3*v. What are the prime factors of m?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -33, -153, -353, -633, -993?\n\"Answer: -40*p**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 168 divide 1303512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one tenth of a tonne?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4277778605 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c + 26. Let x be a(-8). Let u(l) = -l + 1. Let z be u(-4). Suppose 0*w = w - z. Solve 25 = -w*q, -x*i = -i + q + 9 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39831240 a multiple of 740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2447, -7095, -11791, -16535, -21327?\n\"Answer: -24*i**2 - 4576*i + 2153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6, q: 2, a: 10}. Give prob of picking 1 o and 2 a.\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 944453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by -1257.\nAnswer: -11\/1257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -25*r + 136. What is the units digit of c(-22)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(245) + -3)*-2.\nAnswer: 6 + 28*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**3 - 15 + 20 + 6*u**3 + 24)*(5*u - 15*u - 16*u).\nAnswer: -156*u**4 - 754*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**3 - 2*x**2. Let w(o) be the first derivative of -9*o**4\/4 - 17*o**3\/3 - 6*o**2 + 9*o - 23. Let m(a) = -4*b(a) + w(a). Determine m(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.03 + -0.05. Let c = -121.02 + 122. Let i = c - q. Are i and -2\/17 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4557041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 6*l - 17 = 3*l, 3*l = 3. Let t be -1 + 1 + j\/7. Suppose -3*w = t*w. Let u(x) = -x + 5. Give u(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2274063?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + t + t)*(0 + 3 - 2) + 3236 - 1170*t - 744*t - 3238.\nAnswer: -1915*t - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v = r + 108, 36 = -4*v - 2*r - 4 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 9 = 0, 0*o - z + 150 = 3*o. What is the highest common divisor of 8321 and o?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7 (b) 2\/11 (c) -6 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 5*f**2 - 126*f + 27. Suppose -2*j - 47 = -y - 26, 0 = 4*y + j - 102. Let z be p(y). Let d = -7 - -11. Solve z*k - 2*h = 2, 2*k - 4 = 5*k + d*h for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -95853, -383402, -862605, -1533462?\nAnswer: -2395973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, k: 4, d: 1}. Give prob of picking 1 d, 1 k, and 1 j.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + w - 2, -4 - 8 = -2*s - 2*w. Let o = -32 + 53. Is ((-54)\/o)\/(s\/(-14)) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -g**4\/4 + 2*g**3 + 2*g**2 - 2*g - 26. Calculate o(6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -4*a + 4 - 26, -5*a - 40 = 5*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 60475 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 7:32 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 10\/100467?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 4*i = -172. Let g = 44 + i. Suppose -4*n - 53 = -y, -2*y = -3*n - 127 + g. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1485 divided by 45\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3056062 and 317374.\nAnswer: 3566","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -22493532.1 rounded to the nearest one hundred thousand?\nAnswer: -22500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 9\/590009?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 19*l + 68. Let f be n(-3). Suppose -f*s + 0*a - 3*a + 27814 = 0, 0 = s + 4*a - 13897. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201153 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) 13 (c) -8 (d) -459 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4024225349?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 111052500 a multiple of 1742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32 - -34. Let s be 0 - -3 - (0 + i). Are -2\/61 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/63 and -117\/98.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4456876 to the nearest integer?\nAnswer: 2111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 82209042 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 652\/165 at least as big as 4\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4 - -0.2. Suppose 4*u = 2*u - 14. Let a(l) = 2*l**2 + 14*l. Let j be a(u). Sort h, -0.4, j in decreasing order.\nAnswer: j, h, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -3*h - 6, 0*h - 2*h = -m - 7. Let f(k) = -k**3 + 2*k**2 + 2*k - 3. What is f(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29620 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - w**2 + w + 1. Let z be s(-1). Let j be (z + 3 - 6)*-1. Let o = -3 + j. Solve o*y - 3*f + 12 = -y, 2*f = -y + 8 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -5*j**3 + 4*j**2 + 9. Let f(q) = 6*q**3 - 5*q**2 - 10. Determine 4*f(l) + 5*u(l).\nAnswer: -l**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35*(-2)\/(-252)*(-2)\/(-30)*6.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**3*h*u + 59*a**3*u**3 + 2*a**2*h*u**2 + 2*h*u**3 - 24*u**2 wrt a.\nAnswer: -6*h*u + 354*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n + 8. Let h be v(-4). Let k be ((-4)\/h)\/((-4)\/132). Factor -k*j + 226*j**2 - 5*j**3 + 0*j**3 - 210*j**2 + 2 - 2*j**3.\nAnswer: -(j - 1)**2*(7*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) 0 (b) 1 (c) -2 (d) 2\/11 (e) 0.071\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*i - 2*t + 7*t, -3*t = -5*i - 1. Let a be i*1\/4*-22. Find p such that a*p - 64*p + 1 + 24 - 17*p - 15*p**2 = 0.\nAnswer: -5, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 795 + -412. What are the prime factors of x?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/3)\/l)**(-30)*(l**2)**(-3\/2))**4 assuming l is positive.\nAnswer: l**148","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1ae2 - -3?\nAnswer: -1ade","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w + 2. Suppose 12*s + 70 = 58. Let t(z) = -z - 2. Let r(a) = s*t(a) - n(a). Let x(h) = 2*h + 378. Give x(r(k)).\nAnswer: 4*k + 378","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -459 - 30\/(3 - -3). Let l = -291 - d. Does 4 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 463*j**2 + 352*j**2 + 414*j**2 - 1214*j**2.\nAnswer: 15*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/16)\/(4557\/(-1176))\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from xxgxxgxxxxx.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -39c (base 13) in base 4?\nAnswer: -21330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 152*r**2 - 2*r + 7. Is 37 a factor of p(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 58500 and 87375?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -91 - -84. Is 108\/15 + f - 99\/(-5) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 - 723*m**3 - 33.\nAnswer: -723*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 184.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-474)\/(-9214) - (495\/3213 + (-188)\/1974)\nAnswer: -2\/271","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 1) + 7 + (-13 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/3)\/(542\/(-813))*4\/(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -36*s - 1. What is i(1)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 843*u**3 - 690*u**3 + 3.\nAnswer: 153*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -4162325?\nAnswer: -4162330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*c + 149*c**2 - 3*c + 23*c to the form s*c + h*c**2 + g and give h.\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 25061174.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j + x + 20, 2*j = 3*x + 129 - 119 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**5)**10\/((t**(-13)\/t)\/t**(3\/14)) assuming t is positive.\nAnswer: t**(899\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + 33 + (-2 - 6\/2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46249?\nAnswer: 7, 6607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 133560\/11 less than or equal to -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26130785?\nAnswer: 5, 17, 173, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*j + 16*j + 23*j - 64*j + j**2.\nAnswer: j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2237439 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 36*x**2 + 31*x + 81. Let p be n(-35). Factor 54*z**2 - 108 - 113 - z**3 - 243*z - 2*z**3 + p.\nAnswer: -3*z*(z - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -32, -39, -46?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 2:02 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 4. Suppose -i + h + 1 = k, 0*h + 4 = -4*h. Suppose b = 4*n - 3 - 0, 2*n - 4*b + 16 = i. Solve -3*t - n*t = -5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 q when three letters picked without replacement from {y: 9, p: 2, q: 6}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/2? (a) 4\/5 (b) 6 (c) -2\/3 (d) 1065 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 6, y: 8, c: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 328 + 1130. What is the greatest common divisor of h and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2999\/2 + -1499. Which is the second biggest value? (a) -3 (b) i (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(84)\/sqrt(192) + (sqrt(42) + sqrt(168))\/sqrt(6) + sqrt(7) + 2.\nAnswer: 7 + 17*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -11739*b + 50. Let v be g(1). Let p = -6612 - v. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.42395 months in centuries?\nAnswer: 0.003686625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/123474 and -7\/20579.\nAnswer: 123474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 375343 to the nearest integer?\nAnswer: 613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3082234.\nAnswer: 2, 1541117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.34416108379127 + -2182407.44416298379127. Let c = -2182414.1 - u. Let m = 7 + c. What is m rounded to seven decimal places?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.04 + -4.96. Let k = -0.7 - -0.3. Which is the third biggest value? (a) j (b) k (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 20\/(-6)*(-12)\/5. Let u be 6*(x\/(-6) - -2). Suppose 2*y + 50 = u*o, -2*o - o + 3*y = -45. Is 9 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1134 and 830558.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(304) + (sqrt(304) + -2)*-2 + 5)**2.\nAnswer: -104*sqrt(19) + 473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/78 - (-1 + (-142)\/(-12)) and -17\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wjoiomo. Give prob of picking 1 w and 3 o.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 72 = -23. Let y = -86 - a. Suppose 0 = 15*n - y*n - 486. Is n a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -62.9999035 + 63. What is i rounded to six dps?\nAnswer: 0.000097","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 3*z - 2. Let j be w(4). Suppose r = 5, 2*r - 30 = -7*a + 3*a. Suppose -a*c + 28 = g, -3*g + c - j*c + 14 = 0. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -10. Let h = 34 - 38. Let b(o) = -o**2 - 8*o - 14. What is the smallest common multiple of f and b(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12061?\nAnswer: 7, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/3*(-165)\/22.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 815.6 + -815.9. Let o = 0.29 - -0.01. Sort t, -3, o, -5 in increasing order.\nAnswer: -5, -3, t, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143 divided by 54975?\nAnswer: 143\/54975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*k**4 + 80*k**3 - 65*k**2 + 10*k.\nAnswer: -5*k*(k - 2)*(k - 1)*(5*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3*q = -22918, 0 = 4*w + 3*q - 7820 - 15110. List the prime factors of w.\nAnswer: 11, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/49)\/(1\/(-945)*15)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(275) + 1 + 5 + -1 + 6*(sqrt(275) + -1)*-1)**2.\nAnswer: -550*sqrt(11) + 6992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 4*j - 9. Let x(p) = -3*p + 0*p**2 + 2 + 2*p**2 - p**2 + 6*p. Give x(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 1 + 13*n**2 - 108*n + 110*n - 3. Let d be s(1). Find the second derivative of 14 - 8 + d*w - 6 + 7*w**2 wrt w.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {z: 2, l: 4, e: 2, o: 3}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.07 - 0.13. Let p = 0.44 - z. Put -0.5, p, -4 in descending order.\nAnswer: p, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 416638043?\nAnswer: 416638043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/(-14))\/(28\/(-392)). Solve 9 = 4*x - v, -v - v = 2*x + i for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (23 - -11 - 28).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1129 - 888 + 416)*(-i + 2 - 2).\nAnswer: 1601*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-7)\/s*s**11)**33 assuming s is positive.\nAnswer: s**99","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3aba - 22?\nAnswer: -3b0c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.02 (b) 0.03 (c) 0 (d) 4 (e) 2\/127\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 41\/2 of a hour?\nAnswer: 73800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1228216 and 8.\nAnswer: 1228224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w + w + 10, -4*x - 5*w + 154 = 0. Suppose x = -371*y + 362*y. Let b(p) = 9*p + 4. Give b(y).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 69 + 89. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156981575 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7356 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1619*s**4 + 422*s**3 + 93*s**2 + 164*s wrt s.\nAnswer: -38856*s + 2532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 882 + -848 + 69\/(-2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5116 at least as big as 5116?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 349765 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/120 and -19\/120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1932 and 31?\nAnswer: 59892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 20 = -4*x + 2, 5*x - 21 = -3*m for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -4.2422 (b) -2\/11 (c) 0.5 (d) 1 (e) 2.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -33223664729 minus -0.0306?\nAnswer: -33223664728.9694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 269, 222, 147, 44, -87, -246?\n\"Answer: -14*y**2 - 5*y + 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**2 - 4*l + 2. Let d(o) = -o**2 + 78*o - 626. Let q be d(69). What is z(q)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7 - 1\/(-1)*-2. Let o be p*(-18)\/((0 - 20)\/(-4)). Is o greater than -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) + (sqrt(612)*-1 + sqrt(612) - sqrt(612)) + 1)**2 + -4 - (4 + -5 + (-2*1*sqrt(17))**2).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 32*i**2. Suppose 5*x = -3*c - 6, -4*x + 5*c - 4*c - 15 = 0. Let m be (-3048)\/(-4)*x\/9*-2. Let j(w) = -3*w**2 - 508*w + m*w. Give j(f(l)).\nAnswer: -3072*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2*c + 17 = 0, -2 = -w - 4*c - 13. Suppose 0 = -7*k + 6*k - w. Suppose -x + 4 - 12 = 0. Are x and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 127 and 889.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -372*j**4 + 2*j**3 + 11*j - 5.\nAnswer: -4464*j**2 + 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8575 - -8577. Let p(f) be the first derivative of 3*f**4\/4 + 2*f**3\/3 - f**2\/2 + 2. Let b be p(1). Solve -b*q = -a*q + 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -12*c**2 - 46*c + 2. Let l be g(-4). Let z be l\/(-39) - 407\/(-143). Solve 9 + z = 4*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 582b + -100?\nAnswer: 572b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-6 - -4)) + -2 - 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3223925621 a multiple of 331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 198 = -168 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12017074 (base 10) in base 4?\nAnswer: 231311312302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111012 + 2?\nAnswer: 111021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41 - -61. Is v a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 22*v + 0 + 37*v - 5 + 6.\nAnswer: 59*v + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 8 = 4*f, 5*s - 9*f - 10 = -8*f. Put 3, 9, -3, s in decreasing order.\nAnswer: 9, 3, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2945982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8383, -16794, -25205, -33616, -42027, -50438?\nAnswer: -58849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9407, 9613, 9961, 10457, 11107, 11917, 12893?\nAnswer: 14041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3366463 is divided by 1448.\nAnswer: 1311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 3:42 AM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 25*q + 1. Let y be r(-1). Let b be 3 + 0 - y\/4. Let k = b + -6. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 102215*l**3 + 3*l**2 - 11*l + 394.\nAnswer: 613290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 6. Let h = -8 + 6.8. Let y = h + 1.5. Put 2, o, y in ascending order.\nAnswer: y, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + 35*r - 179. Let h be p(5). Let x(z) = -z - 1. Let c be 3 - ((-2 - -2) + 9). Let f be x(c). Solve u + 25 = 5*m, f*u + 0*m + m + h = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*s**3*u**4 + 5*s**3 - 12*s*u**4 - 221*s*u - 3*u**2 wrt u.\nAnswer: 96*s**3*u**2 - 144*s*u**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3680.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of 425*x**4\/4 + 396*x**3 - 2114*x**2 + 1. What is the derivative of i(m) wrt m?\nAnswer: 2550","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 7*q**2 - 55*q - 237. What is o(7)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of x**4\/8 - 2*x**3\/3 + x**2. Calculate the lowest common multiple of h(5) and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25157?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 7*k + 4. Let q be p(4). Suppose -38 = -5*l + q. Let g be (-7)\/l - 7\/(-2). Which is smaller: g or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000381939 rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -g + 35, -137*g - h = -139*g + 7 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -103012321013 (base 4) in base 12?\nAnswer: -181685b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**2 - 11*u. Let c(h) = h**2 + 4*h. Let f(n) = 8*c(n) + 3*p(n). Let k(b) = 4*b - 4*b + b**2. Give -2*f(j) + 2*k(j).\nAnswer: -2*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -232*h + 237*h - 280. Calculate the remainder when h is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5c - 1c?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1640078868 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of y**2 + 18*y - 532. What is z(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 13 (b) -4\/5 (c) 0.5 (d) -8.355\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -2*u**2 - 21022*u + 21024 = 0?\nAnswer: -10512, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8333 + -4170. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -5*y + 70, -3*u - 2781 = -y - 2767 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 324856373.\nAnswer: 13997, 23209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 49*y**2 - 151*y + 39. Let n be v(3). Let t = 4 + -6. Which is the closest to n? (a) -1 (b) 0 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 599 - 596 - 4*p**2 - 7*p + 12*p**2 + (-2*p - 2 + 2)*(-2*p + 1 - 1) - 2*p**2 + p**2 - p**2 to the form b*p + v + q*p**2 and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01235206 to 3 decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2186923 to the nearest integer?\nAnswer: 1479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172782\/4*896\/2016.\nAnswer: 2, 29, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-5\/9)\/f**14*(f\/(f\/(f**(-11)\/f))*f*f)\/f*f**31\/f*f)**(1\/8) assuming f is positive.\nAnswer: f**(49\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 469204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55 - 15*p + 9*p + 48.\nAnswer: -6*p - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**2 - 31*m - 30 = 0. What is m?\nAnswer: -30, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4 = -10. Let w(u) = 8 + 1 + 10 - 22 - 70*u. List the prime factors of w(i).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - 4*n + 7. Let m be v(-5). Let q be m - (0\/(-2))\/(-2). Suppose h - 3*h**3 - q*h**3 + h**4 + 4*h**3 - h**2 = 0. Calculate h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*(-58 - 19264\/(-392))?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88212859277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -1\/88, -3\/22?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -176*o - 33. Let f be v(-4). Let s = 780 + f. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2 = -l, 4*l + 5*f = 4*f + 12. Suppose 6*t - t - 2521 = -y, 5*y = -l*t + 990. Is 10 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 + 101*f - 1318. Give r(0).\nAnswer: -1318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -143*j**2*s**5 - 92*j**2*s**2 - j wrt s?\nAnswer: -8580*j**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q**2 + 338*q**2 + 75*q**2.\nAnswer: 413*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 84 - 92. Suppose -2*s + 14 = -4*f, o*s = 2*f - 6*f + 16. Let k be (-1 + 28\/12)*(32 - f). What is the greatest common factor of 44 and k?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -g**2\/5 - 16788*g\/5 - 70459236\/5 = 0.\nAnswer: -8394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**3 + 7974468*y**2 - 3974512729920*y + 3974504755456.\nAnswer: -4*(y - 996808)**2*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1, -7, -29, -71, -139, -239, -377, -559?\n\"Answer: -w**3 - w**2 + 2*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -26*i**3 - 62*i**2 + 2*i**4 + 250*i - 239*i + 15*i + 60 = 0. What is i?\nAnswer: -2, -1, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108385 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mtoodgdtf. Give prob of sequence tdgd.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7801\/12 >= 649?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3\/2 + 132975*f**2\/2 + 736797852*f + 736731366.\nAnswer: 3*(f + 1)*(f + 22162)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -178 + 332. Let w(v) = 2*v**2 + 24*v - 111. Let k be w(7). Let m = o - k. Put 1, -3\/5, m in decreasing order.\nAnswer: 1, -3\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 533, 278, 37, -184, -379, -542, -667?\nAnswer: -748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (106 + 53 - 43)*(k + 0*k - 5*k) as i*k + r and give i.\nAnswer: -464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, v: 17}. Give prob of sequence vee.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 79943811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-16) - 36*(-1529)\/(-31680).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n + 5*n + 13*n + 2*n**2 + 3*n to the form k*n**2 + t*n + p and give t.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**2 + f. Let m(q) = q + 3. Let a be m(-4). Let l be t(a). Solve 1 = 2*r - l for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-433*v + 757 - 223*v - 758)*(10*v + 101 - 101).\nAnswer: -6560*v**2 - 10*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2688 and 3791328.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 529, -4, -5, 0 in increasing order.\nAnswer: -5, -4, 0, 529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + j - j**2)*(0 - 3 - j + 4).\nAnswer: j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2*sqrt(396)*-2)**2 + 1*(sqrt(396) + 2 + sqrt(396) + 2).\nAnswer: 12*sqrt(11) + 6340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 72*d**2*n + 77592*d**2 - 13235*d*n - 467*n wrt d.\nAnswer: 144*n + 155184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1262 (b) 2 (c) -1\/3 (d) -0.1 (e) 3\/2 (f) 0.199 (g) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -6*l - 7*v - 39, 0 = l - 3*v - 4 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13081 is divided by 39?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -7*u**2 - 12*u - 3. Let s(m) = 10*m**2 + 18*m + 5. Let q(a) = -7*r(a) - 5*s(a). Let b(i) = -2*i**2 - 11*i - 7. Calculate 4*b(d) - 7*q(d).\nAnswer: -d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3812.017cm in nanometers?\nAnswer: 38120170000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 102 - 46. Let t = -3 + 7. Suppose c - 3*c + t = 0, 0 = 3*s + 3*c - 30. What is the highest common factor of u and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lcwllcww. Give prob of sequence wccl.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3154*d - 4701*d - 85349*d - 18731*d.\nAnswer: -111935*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -102431, -102430, -102429, -102428, -102427?\n\"Answer: c - 102432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b87 (base 15) in base 6?\nAnswer: 43401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(33\/((-594)\/(-12))*48).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 19 + 2 = -d, -2*d - 4*c = -18. Let h be d + -2 + 297\/(-3). Round h to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*c**3 - 12*c**3 + 8*c**3 + 16*c**2 + (3 - 2 - 3)*(104 + 8*c**3 - 104) + 3*c**3 - 5*c**3 + c**3.\nAnswer: -16*c**3 + 16*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s = 9*s. Let n be 8\/6 + (s - 2). What is the second biggest value in 3, 0.3, n?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.71 - -0.81. Let l = -3.4 - -3. Let a(c) = -c + 7. Let p be a(6). What is the nearest to x in l, p, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of l**5\/60 - l**4\/24 + 19*l**3\/6 - 2*l**2. Let p be m(0). Suppose 1252 = 135*q - 1448. Is q smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 8*i. Let u be f(6). Is 12 >= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 v when four letters picked without replacement from itezveeezeeeve.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 12 = o - 4*f, -4 = -2*f. Let i(j) = 2*j**3 - j + 1. Let p be i(1). Find the second derivative of p*c - 4*c + c**o + 0*c**4 wrt c.\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/10 of a meter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5957130493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of r**4\/24 + r**3\/3 + 3*r**2. Let j(n) = -n - 3. What is -2*j(a) - 3*v(a)?\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -132722, -132831, -133112, -133649, -134526, -135827, -137636, -140037?\nAnswer: -143114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -4*u - 3*r - 80, -2*r + 20 = -u. Let s be (u\/4)\/5 - -3. Solve -5*b + 9 = -2*g, 3*g - 4 = 6*g + s*b for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u**2 - 50*u. What is the remainder when 811 is divided by o(-15)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/7 - 650*x\/7 - 43216.\nAnswer: 2*(x - 584)*(x + 259)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-56840 + 30178*o + 113698 - 56858)*(-1 - 1 + 1)*(-o + 4*o - 5*o) to the form p*o + c*o**2 + b and give c.\nAnswer: 60356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 542530355 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 161\/13, 1\/7, 3, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 399*g**3*n**2 - 61*g**3*n - 48*g**3 + 4*g**2 - 5*g*n**2 - 1374 wrt n?\nAnswer: 798*g**3*n - 61*g**3 - 10*g*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) -0.3 (c) -105 (d) -153 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2044 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.098 - 0.902. Suppose 3*g = -0 + 6. What is the third smallest value in m, -3\/5, g, 9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 325*a - 8650 = -74*a + 4916. Solve a*m = -20*m - 216 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -4, 28, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*n - 13. Suppose -5*c = 2*l - 31, -4*c + 36 = -l - n*l. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46 - 32. Let f = -27 + 12. Let u = m + f. Is -2 not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5215 and 470?\nAnswer: 490210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 11:03 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -2*s + 79, 4*s = -3*t + 113 - 20. Find the first derivative of -s + 53*k**3 - 17*k - 91 + 17*k - 5*k**3 wrt k.\nAnswer: 144*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llplpplplppp. Give prob of picking 1 p and 2 l.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 + 20. Suppose -11 - 5 = -2*j. Let x = j + r. Solve 4*q = x*l + 20, -l + 15 = -0*l + 3*q for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20127103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-8)\/3)*9\/(-81)*6.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28210 = 4103*m - 3669*m for m.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -171*m - 6. Let b be t(-2). Let d = -324 + b. Suppose -3*c + 63 + 9 = 0. Calculate the greatest common divisor of c and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 12 + i - 5 + (3*i - 2*i - 3*i)*(-1 + 0 + 0).\nAnswer: 3*i + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -317, -672, -1025, -1376, -1725, -2072?\n\"Answer: k**2 - 358*k + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -623, -1384, -2145, -2906?\n\"Answer: -761*g + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/7 in 4, -1\/2, 989\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f + 624 = -4*f. Does 6 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5071 or -5072?\nAnswer: -5072","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (54\/(-180))\/(6\/(-112)). Put t, 4, -0.03, 3\/8 in decreasing order.\nAnswer: t, 4, 3\/8, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.16 and -13.6?\nAnswer: 2.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 154318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -4160.8 to the nearest ten.\nAnswer: -4160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -19948.907 rounded to the nearest 100?\nAnswer: -19900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4853.1 - -4851. Which is bigger: z or 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of x**5\/30 - 53*x**4\/24 - 5*x**3\/6 + 16*x**2. What are the prime factors of m(28)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 175 - -7aaa56?\nAnswer: 800120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 3:49 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*a - 6*a - 3*t, -2 = a + 5*t. Let f(h) be the first derivative of 1\/4*h**2 - 1\/12*h**a + 0*h + 3. Find j, given that f(j) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 2, -5, -2, -14.\nAnswer: -14, -5, -2, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + (-5)\/((-25)\/(-12)). Let r = 18 + -17.9. Let k(s) = s**2 - s + 1. Let t be k(0). Which is the third biggest value? (a) t (b) z (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 4*p**2 + p + 1. Let o be w(-1). Suppose j - o*j + 11 = -5*k, -2*k = j. Let i = 101\/290 - -3\/58. What is the nearest to i in k, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1161850.5132 rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*4\/(-18))\/(61\/(7930\/(-52))).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65 and 80?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1240 - -1318. Calculate the greatest common divisor of t and 1209.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7651407 (base 8) to base 2\nAnswer: -111110101001100000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4 + 2*v**3 - 4*v**2 - 8*v.\nAnswer: v*(v - 2)*(v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 - 107 - (8 - (-3 - -3))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**5 - 50*r**4 + 65*r**3 + 300*r**2 + 180*r.\nAnswer: 5*r*(r - 6)**2*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(171) + (4*sqrt(171) - sqrt(171))))\/sqrt(9).\nAnswer: -12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -158, -159, -160?\nAnswer: -161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10142766, 40571054, 91284866, 162284202?\nAnswer: 253569062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 395472 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 464 and 1616.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 127987 and 2931.\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 19*q - 12. Let h(t) = -11*t + 7. Let n(u) = 4*c(u) + 7*h(u). Suppose 3*s = 8*s - 5. Let j(x) = -4*x - x**2 + 4*x + 2*x. Give s*j(z) + 2*n(z).\nAnswer: -z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -2*l**2\/11 + 202*l\/11 - 588\/11 = 0?\nAnswer: 3, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -218345538*g**2 + 37599240 wrt g.\nAnswer: -436691076*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 5*m - 52 + 20, -2*m + 17 = 3*o. Let y(a) = 5*a - 5. Let r(s) = -6*s + 6. Give o*r(q) + 4*y(q).\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -13 + 24 - b + 1 - 12. Let d(q) = -2*q + 2. Determine x(d(y)).\nAnswer: 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 5*s + 171 = 162, 5 = 5*s for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -14193456 bigger than -14193458?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25174548 divided by -25174548.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 36801721 to the power of 1\/2, to the nearest integer?\nAnswer: 6066","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.1 * -17264.\nAnswer: -53518.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of x**5\/30 - x**4\/24 + 5*x**3\/6 + 5*x**2. Let g(i) be the first derivative of j(i). Suppose -2*q + 5*q = 9. What is g(q)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15633, -30976, -46319?\nAnswer: -61662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 23*a**2 - 20*a + 44. Let g be k(-22). Suppose -4*i + 19 + 5 = g. Calculate the remainder when 9 is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -k**5\/20 + 5*k**4\/12 - 2*k**3\/3 + k. Let m(v) = v - 1. Suppose 4*s = 30 - 10. Let l be m(s). Determine w(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of -p**6\/72 + 13*p**3\/6 + 8*p. Let m(t) be the second derivative of g(t). Let v(r) = -5*r. Calculate v(m(b)).\nAnswer: 25*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 - 17. Let s = 0 + f. Sort 0.4, s, 5.\nAnswer: 0.4, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1306 and 11101?\nAnswer: 22202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22225*o**5 - 107*o**4*w + 74*o**3 - 4*o**2*w + 44768894*o wrt o.\nAnswer: -1333500*o**2 - 2568*o*w + 444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2 + sqrt(2057))*6 - sqrt(2057) - -6*sqrt(2057)*2) + 3 - (5*sqrt(2057)*4 - (sqrt(2057) + -5)*4))**2.\nAnswer: -638*sqrt(17) + 2898","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 619 + -616. Suppose 2*q = -3*p + 49 - 35, r*p = q + 11. Solve 2*v = -p*y + 6, -2 - 28 = 5*v - 5*y for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f + 12. Let c(j) = 28*j - 35. Let g(p) = -114*p + 139. Let z(b) = 26*c(b) + 6*g(b). Let d be z(2). Give k(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 4806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -102*g + 463*g + 6137 for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of -d**4\/4 - 4*d**3\/3 + 3*d**2. Let q(i) = -4*i - 5. Let y(l) = 5*b(l) - 8*q(l). Let h(k) = k**2. What is h(y(r))?\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 35*m**2 + 153*m - 99. Let k be y(-39). Sort -4, k, 0.\nAnswer: -4, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + 0 + 0)*(-14*h**2 - 18*h**2 + 11*h**2).\nAnswer: 21*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f + f + f + (6*f - 7*f - 11*f)*(0 + 0 - 4).\nAnswer: 49*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 1 - 3)*(-x + 4*x - 2*x + (3*x - 2*x - 3*x)*(-1 + 1 - 2) + x - 2*x - x)*(-3*x - 2*x + x) as n*x**2 + f + o*x and give n.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15810321.\nAnswer: 3, 97, 54331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2819023, 2819022, 2819021, 2819020?\n\"Answer: -g + 2819024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 9*p + 3. Is 5 a factor of x(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -40, -168, -380, -670, -1032, -1460, -1948?\n\"Answer: v**3 - 48*v**2 + 9*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + -2 + 0 - (-168 + 169).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -22. Suppose 0 = 3*v - 4*l - 2345, 0 = -u*v - 2*l + 16 + 3927. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9\/(-27))\/((-2)\/18). Let u = -147 + 591\/4. Which is the biggest value? (a) -5 (b) -2\/5 (c) y (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((54\/(-12))\/9)\/((-2)\/(-2)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19756074 to the power of 1\/3, to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 604949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 251881673?\nAnswer: -251881668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-9)*1*(-16)\/(-20)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -85926833 divided by 3127?\nAnswer: -27479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -376*-3.\nAnswer: 1128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1715\/5163 - -2\/1721. Let c(r) be the first derivative of n*r**3 + 0*r + 0*r**2 + 6. Let y(i) = -4*i. What is y(c(s))?\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -316*u + 302 wrt u?\nAnswer: -316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 78 and 754?\nAnswer: 2262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 6*x - 4*x. Calculate the remainder when 81\/(-36)*408\/(-18) is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*y + 92 = -78*y + 9*w, 0 = y + 2*w - 6 - 13 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 266, 265, 264?\n\"Answer: -g + 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 10) to base 11\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1635 + 119.\nAnswer: 1754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -4570.99 and -2.\nAnswer: -4572.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1007242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 283, 294, 305?\n\"Answer: 11*x + 272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from iiiiiiiziiiiiii.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 15299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 3. Let l = 377 + -334. Let y = l + -40. Solve 4*s = 4*i - 8, -y*i = -4*i + 4*s + o for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30212*r + 100088*r - 30065*r - 27297*r.\nAnswer: 12514*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 25 = -25. Suppose -5*z = -5*g + h + 5, -g = -5*z - 22. Suppose -112 = -g*o - 3*n + n, 4*o - 214 = -2*n. What are the prime factors of o?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -306440 (base 8) to base 13.\nAnswer: -37374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 273 and 393981?\nAnswer: 5121753","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -110214 + 14?\nAnswer: -110200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -42568\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {j: 9, s: 11}.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and -2.15.\nAnswer: -1.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 8) to base 2\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, l: 2, k: 1, y: 3, z: 2, a: 3}. What is prob of sequence aaa?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1081191 divided by 3.\nAnswer: -360397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of 0*h**2 + 0 + 2\/27*h**3 + h - 1\/90*h**5 - 1\/54*h**4. What is m in c(m) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4*y**2 + 5*y + 5. Let k be z(-2). Let i(a) = a + 16. Let t be i(k). Let r = -15 + t. Solve 0 = 4*j - j + r for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0375 and 55588524.8.\nAnswer: 55588524.8375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 d when four letters picked without replacement from ggddgggggg.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 8. Let l = -3.2 + 3. Put -0.5, l, k in descending order.\nAnswer: k, l, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 19*m**2 - 2*m + 8. Let p be u(19). Suppose 5*h - 55 = -3*j, h = 6*h - 25. What is the units digit of p*(32\/j)\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + -6 - 3) + 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - i + 2)*(-4 + 2 + 7)*(4*i + 4*i - 2*i) to the form l*i + c*i**2 + x and give c.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39\/(((-171)\/(-836))\/((-192)\/704)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.02 - 7.15. Let w = 0.17 + a. Let s = -9 - w. What is the nearest to s in -0.2, 0.3, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2408\/2 - (4 + 25\/(-5)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21651531.\nAnswer: 3, 11, 373, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -463662 and 228?\nAnswer: -105714936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2586 and 18533.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1568 and 44?\nAnswer: 17248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -2524343?\nAnswer: 2524334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -304*a**2 - 10924 - 10918 + 21842. Let v(j) = -13*j. Calculate v(n(g)).\nAnswer: 3952*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 138*a**2 - 659*a**2 - 3.\nAnswer: -797*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1\/7, -1, 43\/4, -13\/4 in decreasing order.\nAnswer: 43\/4, 1, 1\/7, -1, -13\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 15369.8 and 6683428.\nAnswer: 6698797.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -187\/52320 and 139\/18660.\nAnswer: 16271520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 159 - 189. Let b be (15\/10)\/(v\/8)*-60. What is the greatest common divisor of b and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67161352606 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -3, -5, -7, -9, -11?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 5:36 PM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a - 3. Suppose l = 14 - 8. Let f(v) = -3*v + 11. Calculate l*f(i) + 22*u(i).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**2 + 3*m - 4. Let r be t(-3). Suppose 0 = -r*w - g + 100, 5*w + 42 - 127 = 2*g. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 84022900 - 84022841.5086155. Let g = -49.39136 + d. Let x = g - 9.1. What is x rounded to 6 dps?\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-100)\/3900)\/(2\/(-18))?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/((-15)\/((-120)\/16)). Factor -g**4 + 40*g**j + 8*g**4 + 65*g**2 - 2*g**4 + 17*g + 21*g - 8*g.\nAnswer: 5*g*(g + 1)**2*(g + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + -13. Let n be (-1278)\/(-30) - 4\/(-10). Let v = 15 - n. Which is bigger: v or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2*(-1 + 75\/(-54)) and (-552)\/230*19\/(-8)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 0*l**2 - 6*l + 5*l**2 + 0*l - 3 + l**3. Let d be m(-6). Which is the nearest to 1? (a) 4 (b) d (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -2661 + 2661. Let v(d) be the third derivative of -1\/120*d**6 + s + 2\/15*d**5 - 2*d**2 + 0*d - 1\/2*d**3 - 1\/4*d**4. Determine v(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156351 (base 7) in base 14?\nAnswer: b461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 i when two letters picked without replacement from {i: 5, q: 1, s: 1, h: 2}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 189 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*h = -2*d + 19*h - 371, -534 = 3*d + 3*h. Let z = -139 - d. Calculate the remainder when 168 is divided by z.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 107 - 104. Suppose 6*t - 3*t = y*p + 36, 0 = 3*p. Is 6 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-385*i - 2 - 404*i + 894*i)*(3*i**2 - 5 + 5).\nAnswer: 315*i**3 - 6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 78 and 1404.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*h**3*i**2 + 2*h**3*i - 103*h**3 + 56*h*i**4 + 2*h wrt i.\nAnswer: 12*h**3 + 672*h*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (-15 - (-11 + 3 + (-10 - -15)))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 18823173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-61)\/(-854) + 502\/(-1932))*-101 - 19\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a factor of 2748713?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 6*r**2 + r. Let m be c(6). Let a = -5 + m. Is ((-1)\/(-2))\/(a\/62) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = a - 3*a. Suppose -4*l = 7 - 15. Suppose l*r - 2 = -2*m, 5*r = -m + r + 16. Sort a, -5, m in decreasing order.\nAnswer: a, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(45\/((-4860)\/48)). Sort z, 1, -2, -24, 2 in decreasing order.\nAnswer: z, 2, 1, -2, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 + (-2)\/4)*-6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-22)\/(-55) + 3\/5. Let u be 1 - 5\/(10\/(-4)). What is the common denominator of -3\/14 and a\/3*u\/(-4)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/2650 and -113\/30?\nAnswer: 7950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, 5, -292, 2462 in decreasing order.\nAnswer: 2462, 5, 2, 0, -292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -34099362 divided by 66?\nAnswer: -516657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3800 is divided by 68?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**2 - 5461*p + 309996. Give j(58).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -1, 2, -3, 25?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 101709 and 45.\nAnswer: 508545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d2 + 328339?\nAnswer: 328247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 765 and 10299229?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ds when two letters picked without replacement from {d: 5, s: 3}?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-48)\/(-608))\/(3\/8). Let j = -2409 + 2409.4. Which is the second biggest value? (a) -0.2 (b) j (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (77\/16093*-152)\/((-4)\/(-154)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 104798891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 + 31. Let z = c - -134. Is 20 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 837827754.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 138 and 1131150.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 46*z - 311. Let k be f(52). Let s = -18 + 13. Put 4, s, -1, k in decreasing order.\nAnswer: 4, k, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b - 4*p - 14, -23111*p - 17 = -b - 23107*p for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuuuuuu. Give prob of sequence uu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/(-6))\/27*18*-1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 328.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17720, -33914, -50108?\nAnswer: -66302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 3*f - 12 = 0. Let u(i) = 5*i**3 + 3*i**2 - 11. Let w(p) = 6*p**3 + 5 - 17 - 2*p**2 + 4*p**2. Let x(t) = f*u(t) - 3*w(t). Factor x(v).\nAnswer: 2*(v - 1)*(v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 6:34 AM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 - 5*f + 8. Let r(t) = -t**2 + 3*t - 3. Let k be r(4). Calculate h(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -13 (b) 5 (c) 0.2 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5128 + 5140. What is the biggest value in -2, x, -5.5, -1\/8?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -185*g**2 + 11718*g - 11719. What is l(1)?\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - o + 4. Let s be r(0). Suppose -5*g + s = -4*j, 4*g - 2 = -j + 18. Suppose -2*b - j*q - q + 44 = 0, 5*b + 3*q = 129. Is 7 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**4\/9 - 8963410*w**3\/9 - 5975612*w**2\/3 + 35853640*w\/9 + 71707312\/9 = 0. Calculate w.\nAnswer: -2, 2, 4481707","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16\/(-40) - 1162\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6591814*u**3 + 64072*u**2 + 80*u wrt u.\nAnswer: 39550884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 1 - -1) + 2 + -8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 16366.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 109254 to the power of 1\/2, to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*h - 30*h - 28*h)*(-1 + 0 + 13).\nAnswer: -540*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 290 is divided by 68.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 6*q**2 + 3*q - 4. Give s(-7).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -4, -275, 0.2, 0.5, -55, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j. Let h(t) = 10730*t - 1110. Let s(b) = -77*b + 8. Let y(n) = 4*h(n) + 555*s(n). Calculate y(c(q)).\nAnswer: -555*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-280)\/294 + (0 - 8\/(-12)). Which is the third smallest value? (a) 0.1 (b) f (c) -2\/2009\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 18, 61, 132, 231, 358?\n\"Answer: 14*f**2 + f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*o - 297 = -87 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 102*c - 17 + 7 + 12 as v + d*c and give d.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 311153 = w, 3*y - 4*w = -5*w + 466730. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1912 and 2764632?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 7. Let m = -5 + v. Let r = -39\/2 - -19. Which is the smallest value? (a) r (b) 0.1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10278378 and 18.\nAnswer: 10278378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(48)*3 - (5 + sqrt(3) + 3))*1)**2.\nAnswer: -220*sqrt(3) + 463","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xdxxnxndxxddddx. What is prob of picking 3 d?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/8)\/(16\/128). Let n = -8 + 15. Let t be 156\/7 + (-2)\/n. What is the highest common factor of t and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 233916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -804 - 90 = -55*m + 646 for m.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6660358361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38350 is divided by 5461.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/12 and 45\/2608?\nAnswer: 7824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 10*t**2 + 129*t - 71. Give m(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -0*k + k + 5, -5*k - n - 1 = 0. Suppose l - 2*u + 10 = k, 0 = l - 13*u + 8*u + 25. Which is bigger: l or -8\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 989.5 + -989.4999967885. What is v rounded to 7 decimal places?\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -46. Suppose -15*o = -23*o + x. Solve u - 3*k + 18 = 0, -2*k = -o*u + 2*k - 35 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196 + 198 = c. Let r(y) = -2*y**3 + 14*y**2 + 3*y - 16. Let h be r(7). Calculate the highest common factor of h and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120450 and 775500.\nAnswer: 56611500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyh when three letters picked without replacement from ybhibbyibbih?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 - 367*p - 9833. Give j(-338).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2620074169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a**3 + 32*a**2 + 5*a - 123 wrt a.\nAnswer: -6*a**2 + 64*a + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.7 + -0.6. Sort 0.3, -0.5, 0.2, b in increasing order.\nAnswer: -0.5, b, 0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 38518 or 38519?\nAnswer: 38518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(10\/72) + (-11 - -9). Let x(w) = w**2 - 36*w + 15 + z*w - 3. What is the least common multiple of x(0) and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -2. Let x = 8 + -15. Let z = x + 12. What is the closest to 0 in z, j, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j + 6*f - 3*f - 12, -5*f = -25 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggap when four letters picked without replacement from {a: 4, p: 1, g: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.299 * 0.4\nAnswer: 0.1196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.01? (a) -1\/4 (b) -3 (c) -57 (d) -12 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t*t\/((t*t**0\/t*t*t)\/t)*t)\/t)**(-41))**(-1\/51) assuming t is positive.\nAnswer: t**(82\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.412 + -0.012. Let m = v - 0.326. What is m rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31 and 66216341.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y. Let b be g(5). Let w(f) = -f**2 + 7*f + 80. Let l be w(13). Put b, 0, l, 5 in decreasing order.\nAnswer: 5, l, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 4*u + o + 41, u + 5*o = 43. Solve -4*d - 22 = 2*b, d + 24*b - 23*b + u = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 11:11 AM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.5566 - 804.897.\nAnswer: -803.3404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 - 153*r - 250*r + 11 - 11*r to y + z*r and give z.\nAnswer: -414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 4:15 AM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of -31*j**2\/2 + j + 215. Let d(u) = -2*u**2. Give d(g(k)).\nAnswer: -1922*k**2 + 124*k - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (23\/8*-10)\/(76\/304). Let v = g - -120. Suppose v*z - 2*t - 276 = 0, 0*z - t = 3*z - 159. 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 a(s) = s**2 - 22*s + 126. Determine a(16).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -631*353\nAnswer: -222743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 353100 and 261690.\nAnswer: 280008300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o**0*o))**(-16\/11))**(1\/2))**(-1) assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 7*r**3 + 6*r**2 - 5. Let s(j) = -j**2 + 1. Determine -a(p) - 6*s(p).\nAnswer: -7*p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kaooreert. What is prob of picking 2 r and 2 e?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -144 + (89 - 85) - -239?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 287*m*n**2 + 2*m*n - 4418*m - 2*n**2 wrt n.\nAnswer: 574*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.44379, 2\/409, 8?\nAnswer: -0.44379","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1414 - 1419 - 1415 - 959*a + 4248 in the form h + t*a and give t.\nAnswer: -959","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -55, -102, -153, -208?\n\"Answer: -2*c**2 - 41*c - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1730005?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 5*c = 217, 0 = 3*h + 5*c - 18 - 151. Let n = h + -238. Let i = n + 297. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.1 - 559123.\nAnswer: -559128.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1230604 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 769 = 4*k + k - 2*t, 608 = 4*k - 4*t. Let o = 218 - k. What is the remainder when o is divided by 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q = -3*u + 36, 7*u = -5*q + 10*u + 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 337988, 337987, 337986, 337985?\nAnswer: 337984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 1. Let a(n) = n**2 + 3*n - 2. Let o be a(u). Let z = -276 + 278. Solve 0 = -0*i - o*i - z for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.05 - -0.25. Suppose 0 = 3*t - 1 + 4. Let f = -2.23 + 0.23. Which is the nearest to f? (a) 0.2 (b) t (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-21199)\/145)\/43)\/(2\/20)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c - 3. Let p be m(6). Let l(b) be the third derivative of 0 + 1\/60*b**5 + 0*b - 1\/12*b**4 - 2*b**2 - 1\/2*b**3. Give l(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 27\/(-6) + (-15)\/10. Let g be (-8)\/20 + r\/(-15). Solve -4*d - p - 15 = g, 2*p - 8 = d - 2 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -90706 divided by -118\nAnswer: 45353\/59","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*g**2 + 0 + 0.\nAnswer: 87*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fhh when three letters picked without replacement from fsaalhsasahahalhah?\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6891881?\nAnswer: 23, 79, 3793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -193186377 by -64395459.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -553 + 552.999555. Round f to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14616 = -5770*r + 5762*r. What is the greatest common factor of r and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 6 - 9 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z\/z**(4\/7))\/z))**43 assuming z is positive.\nAnswer: z**(473\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z - 7. Let s(c) be the third derivative of c**4\/24 - 2*c**3\/3 + 2*c**2 + 56*c. Give -3*r(f) + 5*s(f).\nAnswer: -4*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 976888132?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 0.02, -2, 66, -32\/5 in ascending order.\nAnswer: -32\/5, -2, 0.02, 4, 5, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8 * -0.81\nAnswer: -6.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in 0.8, -12, 1.075, 1\/5, 2?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 52\/23, 1\/7, -4365?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 174 - 66. Let u be ((-16)\/s)\/((-5)\/(-6) - 1). Does 6 divide ((-22)\/u)\/((6\/(-8))\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/13 + 6\/(-39). Suppose 3 = q - d. Factor -2*x + 2*x**2 - 3*x**2 + 2*x**q + 3*x**2 - 2*x**4 + 0*x.\nAnswer: -2*x*(x - 1)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-22)\/33)\/4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**2 + 5418*g - 7338681 = 0. Calculate g.\nAnswer: 2709","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 3*q + 260 - 2951, -3*v = 5*q - 4466. Suppose -898*i + 26643 = -q*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - z - 1 - 7 = 0, 0 = -x - z. Suppose -x*m + 9 = -5*m. Calculate the remainder when (-56)\/m - (-6)\/(-9) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**2 - 9*u - 5. Let x(a) = a**2 - 5*a - 3. Let s(o) = -6*q(o) + 13*x(o). Let n be s(12). Solve -3*l - 3 = -3*v, l = -n*v - 2*v + 17 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 290638*p**2 + 280598*p.\nAnswer: 581276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11002101 - 112010?\nAnswer: 10120021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, q: 3, j: 3, y: 1, n: 4, z: 5}. What is prob of picking 1 x and 3 j?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8888 + 15594. What is the hundreds digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2336?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - (-7 + 2)) + (15 - 5). Solve -l - 4*u + j = 0, -5*u + 7 + 8 = 4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*l**4 - 303*l**3 - 1705475*l**2 + 1699246*l**2 - 3*l**4 - 2*l**5 wrt l.\nAnswer: -120*l**2 - 168*l - 1818","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184336 is divided by 18414.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d. Suppose -4*i + 2*i + 4 = 0. Let s(b) be the first derivative of 4 - 3 - 1 - b**i + 4. What is c(s(z))?\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (376\/188)\/(9\/(-162)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 8, -9, -74224, 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fnu when three letters picked without replacement from {n: 2, u: 1, v: 1, z: 12, f: 3}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2 + sqrt(80) + -6*sqrt(80) + 4 + sqrt(80))**2.\nAnswer: -64*sqrt(5) + 1279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -230020311320 (base 4) to base 10\nAnswer: -11570552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 91264 to the power of 1\/2, to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5249 divided by -1?\nAnswer: -5249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 106*q**2 - 871*q - 80. Determine o(-97).\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, s: 4, c: 1, n: 7}. What is prob of sequence ss?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + 7*q - 2. Let k be r(-7). Let z be ((-7)\/k)\/7*6. Put 1, z, -3 in ascending order.\nAnswer: -3, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 482 + -3380\/7. Let n = 11\/21 + w. Let t = -17 + 20. Which is smaller: t or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -184\/31 or -5?\nAnswer: -184\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5948, -2, 5, 5\/2 in increasing order.\nAnswer: -2, -0.5948, 5\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -497 - -498. Let s(a) = -5*a - 2. Determine s(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/(-2)*(-96)\/(-56). Suppose 0 = 14*r - j*r - 56. What is the highest common factor of 77 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)\/sqrt(125) + sqrt(152) + (sqrt(152) - (sqrt(152) - -3*sqrt(152))) + sqrt(152))\/((sqrt(60)\/(sqrt(6)\/sqrt(2)))\/(-2*sqrt(30)\/sqrt(3))) + 4.\nAnswer: 4 + 18*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + 38 - 15 - (18 + -2) - 36.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 132 (base 4) to base 6\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -7*j**3 + 5*j**2 + 13*j - 34. Let q(r) = 29*r**3 - 20*r**2 - 51*r + 151. Determine 9*k(p) + 2*q(p).\nAnswer: -5*p**3 + 5*p**2 + 15*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hyh when three letters picked without replacement from {x: 1, c: 1, h: 7, m: 2, y: 7}.\nAnswer: 49\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/61590 and -17\/20.\nAnswer: 123180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 55 and 7.5506.\nAnswer: 62.5506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 211 - 73. Let q = -141 + l. Which is the nearest to -0.1? (a) 4 (b) -1\/2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 91612.4 - 91612.3599939. Let t = g - 0.04. What is t rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 349*d**4 - 24*d**5 - 349*d**4 + (-2 + 2 + 2)*(-2*d**5 + 3 - 3).\nAnswer: -28*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**3 + 8*v**2 + 16*v = 0. What is v?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 71619025699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**5 + 9*q**4 + 6*q**3 + 34*q + 17. Let s(u) = u**5 + 4*u**4 + 4*u**3 + 18*u + 9. Let d(y) = 17*s(y) - 9*x(y). Factor d(p).\nAnswer: -p**3*(p - 1)*(p + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seventeen quarters of a kilometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20\/9*a**2 + 0 + 2\/3*a + 2\/9*a**5 - 4\/3*a**4 + 8\/3*a**3.\nAnswer: 2*a*(a - 3)*(a - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of l*t*w - 45*l*t + l*w**4 + 39*l + 62*w**3 wrt w.\nAnswer: l*t + 4*l*w**3 + 186*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22798 rounded to the nearest one hundred?\nAnswer: 22800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s. Let z(p) = 11731*p - 2. Calculate i(z(t)).\nAnswer: 23462*t - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 27 = 0, -2*g + 9*u + 2*u = 9*u - 10 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -118*l**2 - 1. Let g(i) be the third derivative of i**5\/30 + 1512*i**2. Give g(p(y)).\nAnswer: 27848*y**4 + 472*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qxfp when four letters picked without replacement from {d: 7, c: 1, p: 4, x: 2, q: 3, f: 1}.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 8*n - 12*n - n**2 + 0 - 2. Let b = -9 - -6. Let k be t(b). Put k, 2, -2 in decreasing order.\nAnswer: 2, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.8 and -0.04.\nAnswer: 0.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 542802.7 millimeters in centimeters?\nAnswer: 54280.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3289560494 to the nearest integer?\nAnswer: 57355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-218)\/1853*(-51)\/(-39)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1337, -1338, -1349, -1376, -1425, -1502, -1613, -1764?\nAnswer: -1961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + (-72)\/28 + (-9695)\/(-16905))\/((-2)\/(-12)).\nAnswer: 2\/161","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 879738.7um in nanometers?\nAnswer: 879738700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -660*f**4 - 668*f**4 - f**2 + 1343*f**4 + 3*f**3 + 2 to k*f + l*f**4 + z*f**3 + c*f**2 + r and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 9.35 times 0.1\nAnswer: 0.935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and (-14840)\/(-126) + -19 + (-4)\/(-18)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13446 is divided by 177.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**4\/5 + 486096*o**3\/5 - 972208*o**2\/5.\nAnswer: 4*o**2*(o - 2)*(o + 121526)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s**3 - 20073*s**2 - 48460*s**2 + 0*s**3.\nAnswer: 5*s**3 - 68533*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1*13)\/((-865627)\/216405 - -4). Let f be 2\/8 - q\/(-108). What is f rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2644\/313 less than -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*g + 6*g - 12*g.\nAnswer: 26*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2238000959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of 5*m**4\/12 + 2*m + 3. Let f(x) = -3*x**2 + 4*x**2 - 2*x**2. What is s(f(j))?\nAnswer: 5*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**2 + 2*g - 80 = 0. Calculate g.\nAnswer: -10, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 9. Let c(m) = -148606*m - 33 + 148607*m + 58 - 28. Let g(b) = 2*b - 5. Give r*c(x) - 3*g(x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 - 21. Let i = 4.2 + b. Let z = -2 + i. Is 0.2 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g**2 - 3*g**2 - 13*g + 27*g - 14*g.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 181214 and 132.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1073 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 767.\nAnswer: 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36 - -153. Let h = c - -106. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 84 = t - 52, -5*z - 5*t + 20 = 0 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 855 to the nearest ten.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 2:08 AM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4*n**3 + 7*n**2 - 7*n - 6. Let s(d) = 9*d**3 + 15*d**2 - 15*d - 13. Let r be (-140)\/24 + 1\/(-2 + -4). Give r*s(w) + 13*x(w).\nAnswer: -2*w**3 + w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 8634*a + 155306. Calculate i(-18).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/5 (b) -1\/16 (c) 2\/1501\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 - 17 = 5*x. Let o be 3\/x + 1 + 9 + -5. Which is smaller: 6 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 420731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 121*r**5 + 319*r**4 - 128*r**3 + 12*r**2 = 0. What is r?\nAnswer: -3, 0, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -385 + -1?\nAnswer: -386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/4)\/f**(-1\/8)*f**0*f\/(f**3*f)*f assuming f is positive.\nAnswer: f**(-17\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + z. Suppose -2*d - d + 42 = -3*p, z = -d + 3*p + 12. Calculate the lowest common multiple of 24 and d.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a**(2\/11)\/a)*a)\/a**(7\/8))\/(((a\/(a**(18\/5)\/a))\/a)\/a*a*a*a**(4\/5)) assuming a is positive.\nAnswer: a**(1647\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a - 6. Let c be w(-12). Suppose -3*z - 5*o = -187 - 158, -2*o - c = 0. Suppose 0 = d - 6*d + z. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3268 * -202\nAnswer: -660136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from dududdduud.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 111*g**3 + 4 - 22.\nAnswer: 111*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 55.02841cm?\nAnswer: 550284.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + k - 8 = 0, -2*k + 25 = 11*j - 6*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 37*n**2 + 99*n + 107. Let o be t(34). Sort 0.0965, o, 0.4, 1\/3.\nAnswer: 0.0965, 1\/3, 0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 l when two letters picked without replacement from lzzzzljzllzzlzllezz?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85515 = 5*o + 4*r, -5*o + 3*o = -4*r - 34206. Suppose w + 5694 = c - w, -3*c = w - o. Round c to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/6 + 28378\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*k + 7*k**3 + 5*k + k**3 + (-3 - 2*k**2 + 3)*(0*k - k + 3*k) to g + d*k**3 + s*k + w*k**2 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 129 (b) -162 (c) 2\/763 (d) -3 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/4 of a millisecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29098 - 24898 = -150*a for a.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 48*b + 13. Let g be v(6). What is the second derivative of 19*z**3 + 83*z + 15*z**2 - 7*z**2 - 44*z - g*z - 9*z**2 wrt z?\nAnswer: 114*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4040879, 4040876, 4040885, 4040912, 4040963, 4041044, 4041161, 4041320?\n\"Answer: z**3 - 10*z + 4040888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5663 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i + 324. Let d be u(-66). What is the greatest common factor of 3598 and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 775 and 1188695?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**3 - 12*l**2 - 1 + 3*l + 1 - 17*l = 0 for l.\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15551, -15524, -15497, -15470, -15443?\nAnswer: -15416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zkttz. What is prob of sequence zt?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + 123\/(-2 + -1). Let c = r - -57. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y - 5*l - 30, 2*y + l + 4 = 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*z + 0*z - 16*z to m + k*z and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (18837\/(-24) - -7) + 4\/(-32). Let f = 867 + m. Calculate the remainder when f is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 6084*c**2. Let f(z) = 27396*z. What is s(f(m))?\nAnswer: 4566290324544*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 115\/9 (b) 0.5 (c) -6\/11 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 88420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/4*6 + (-8 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 5 + 13*f - 5*f - 3*f - 6*f. Let k be v(1). Which is greater: 22\/7 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3821?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -502 divided by -2\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (((-5)\/(-8))\/(-1))\/((-215)\/172)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 64, -4, 2, 382 in decreasing order.\nAnswer: 382, 64, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 20001*m**3 + 6*m**2 + 6*m + 5. Let x be j(-5). Round x to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208860132 a multiple of 142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00019091 to 6 dps.\nAnswer: 0.000191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 2*v, -4*n - 44 + 39 = -3*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -111\/331 or 0?\nAnswer: -111\/331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 14*f**5\/5 + 1452*f**4\/5 + 8300*f**3 + 196568*f**2\/5 + 108486*f\/5 - 9604 = 0.\nAnswer: -49, -5, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 19879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57 and 5396.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 3:05 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of w**6\/24 - 59*w**5\/6 - 50*w**4 + w**2 + 2*w + 23. Determine o, given that m(o) = 0.\nAnswer: -2, 0, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27\/(-60)*17\/((-102)\/(-16))\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2704*r + 51377. Determine j(19).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + 2*x. Let i(n) = n**3 - 2*n - 1. Let h be i(-2). Let q be ((-8)\/20)\/(1\/h). Give r(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*h = 11 - 63 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k + 3. Let g be l(-3). Let y be (-3)\/g + (-17)\/(-2). Suppose 39 = 2*o + b, 5*o + b - 94 = y. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.5, 0.4, 6\/5, 4, -55.922?\nAnswer: -55.922","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 232381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 - 0.7. Let p = 0.001 - 0.951. Let h = 0.65 + p. Which is the biggest value? (a) f (b) h (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (180*b**4 - 51*b**4 + 215*b**4)*(-5*b + 3*b + b).\nAnswer: -344*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2207142, -2207119, -2207096, -2207073, -2207050?\n\"Answer: 23*j - 2207165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8630022 to the power of 1\/3, to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/o**(2\/45))*o)\/(o*o**21)*o\/o**13*o**(3\/13) assuming o is positive.\nAnswer: o**(-19144\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 144\/11 - 1030\/77. Which is the nearest to 0.1? (a) 2 (b) -0.1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/9 - 693098*q - 6237884\/9.\nAnswer: 2*(q - 3118942)*(q + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of 7\/12*f**4 + 0 + 1\/2*f**3 - 2*f**2 + 1\/20*f**5 + 16*f. What is the remainder when 61 is divided by l(-4)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2944578?\nAnswer: 2, 3, 7, 13, 5393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 2*w - 9, -5*w - 4*c = -25 - 2. Suppose y + 4*t = 15 - 47, w*y + 4*t + 80 = 0. List the prime factors of y*((-2)\/(-4) + -1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of 7*y**2\/2 + 8*y - 4. Differentiate i(z) with respect to z.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1441 is divided by 758.\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2903467, 5806926, 8710385, 11613844, 14517303?\nAnswer: 17420762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 498*b**2 - 4481*b\/9 - 1\/9.\nAnswer: (b - 1)*(4482*b + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 + 139\/6. Let l be 4\/28*((-85)\/15 + 8). What is the second biggest value in 0.4, l, 0, c?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 2 - 4. Is -3\/7 > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5362 - -5883. Calculate the highest common divisor of 1 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 746944, 5, -4 in descending order.\nAnswer: 746944, 5, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -66 - (-64 - (40 - 76) - (0 + -8))\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/5 - 4*w**2 - 48*w\/5.\nAnswer: 2*w*(w - 12)*(w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22*1*17802\/(-3956)*(-2)\/90.\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2 (b) -0.252 (c) -6\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*b + 67*b - 13*b + 4 + 29*b - b in the form z*b + m and give z.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*g**2 - 10*g**2 - 21*g**2.\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - 726 - 24\/(-40)*-10. Let h = p - -1120. Does 47 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of n**5\/20 - 11*n**4\/12 + 2*n**3 - 15*n**2\/2 - 6*n. Let y be a(10). Suppose r + 27 = y*f, -3*r - 3*f = -1 - 8. Is -3 <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1)**(-14)*o\/o**(-15)*o**(-8) assuming o is positive.\nAnswer: o**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**3 - 19*k**2 - 41*k - 21 = 0. Calculate k.\nAnswer: -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z - 45 = -18*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*g**2 + 23*g**2 - 35018 + 35018 + 94*g**2.\nAnswer: 180*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95, -576, -1439, -2684, -4311, -6320?\nAnswer: -8711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, a: 7, w: 1, y: 6}. What is prob of sequence cca?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3092633003 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 - 49*i - 28. Let z be c(-44). Let y be 2*-2*(-32)\/4. Calculate the highest common divisor of y and z.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*m - 5. Suppose -15 + 0 = -5*s - 5*q, -5*q = -25. Which is the closest to m? (a) 5 (b) -3\/4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5383.37 + -5383.37. Let u = 0.6 + -0.1. Let y = u + -0.9. Which is the second biggest value? (a) m (b) y (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/101090 and -107\/200.\nAnswer: 2021800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence evvl when four letters picked without replacement from {l: 1, e: 1, f: 1, r: 1, z: 1, v: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m**2 + 4*m + 1. What are the prime factors of u(-4)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24318790?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -8*s**2 + s + 6. Let k(m) = -m**2 + 1 - 2 + 2. Give 6*k(t) - z(t).\nAnswer: 2*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16507 = -51*b - 16813. Let y(x) = -6*x + 29. Let q(o) = -7*o + 28. Determine b*y(m) + 5*q(m).\nAnswer: m - 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - (-4 + 1))\/1. Suppose s = -3*l + 7*l. Sort l, 4, -4 in decreasing order.\nAnswer: 4, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -7.77\nAnswer: -3.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1471 + -1405. Solve 3 = 23*p - v for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14482741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1566 and 3770?\nAnswer: 101790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -45, -5, 68 in decreasing order.\nAnswer: 68, -0.1, -5, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 65 = -0*j + 2*j, 0 = 2*j + 2. Suppose -y - 2*y - s = -2*x, -x - 3*y + 47 = 0. List the prime factors of x.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2425, 2340, 2171, 1894, 1485, 920?\n\"Answer: -4*n**3 - 18*n**2 - 3*n + 2450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 3\/((-27)\/(-23)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6.92746 * 1.66\nAnswer: 11.4995836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 134*v**2 + 732*v - 209. Determine u(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -113.\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 4.37\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5*-13.992\nAnswer: 69.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*t - 3*y, -t - 11 = -2*t - 2*y. Solve t*v = -4*l - 17, 21 + 4 = -5*l for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/15 and 49\/66505.\nAnswer: 199515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -60375634\/7 at most as big as -8625092?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -221, -435, -639, -827, -993, -1131, -1235?\nAnswer: -1299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136 - 54*y + 13*y - 136.\nAnswer: -41*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*n**2 + 74*n**2 - 42*n**2.\nAnswer: 116*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 66*b + 20 = -62*b, 4*b = -4*m + 8. Let o(j) = 4*j**2 + 7*j + 4. Calculate o(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, d: 11}. Give prob of picking 2 d.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2031335*i - 3075. Let z be q(5). Round z to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**2 - b**2 - 2*b**2 + 4*b**2.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/(252\/136) + -4. Let a = 3.01 - 0.01. What is the closest to 2 in a, -3, j?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**4 + 4713616*a**3 + 1388626559952*a**2 - 5554562803328*a + 5554581657856.\nAnswer: 4*(a - 2)**2*(a + 589204)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4263 is divided by 89?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (37 - 29) + 10675\/(-1330)?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*h**2 - 2*h**2 - 37*h - 4*h**2 - 3*h**2 - 22*h to l*h + p*h**2 + f and give l.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1.569*-1\nAnswer: -1.569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/1 + (-170660)\/(-7155)\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/3 of a year in months?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, 0.1, 2, 1.21?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 807 and 2643.\nAnswer: 710967","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(117)*4 + 0))**2 + (sqrt(208) + sqrt(208) + sqrt(208)*1 + 2)**2 + -5.\nAnswer: 48*sqrt(13) + 69263","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7598554?\nAnswer: 2, 1181, 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/95 and 6\/1783.\nAnswer: 169385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (((-60)\/60)\/(-2 - -5))\/((-16)\/(-2016))\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 1 - 6*s + 3*s**2 - 4*s**2 + 7. Suppose 0 = 3*l + z + 3*z + 22, -35 = 5*l + 5*z. What is d(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 21*u**2 + 53*u - 9. Let h = 143 + -154. Is l(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 67*t + 8 - 66*t.\nAnswer: t + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-150)\/1*(-2)\/3. Suppose -5*n = -3*n - p. Calculate the highest common divisor of n and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -490.994 - -492. Let w = -3 + 2.956. Let g = h - w. What is g rounded to one dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -179802 divided by -29967\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 15 = 8*t. Suppose -3*u - 2*a - 3 = 0, -10 = u - t*u + 3*a. Which is bigger: 2\/5 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (155 - 137) + -6 + -100 + -4 + 2 + -6?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -2*b - 2*b. Sort b, 5, 2 in ascending order.\nAnswer: b, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 1\/2, 2\/39 in ascending order.\nAnswer: -0.4, 2\/39, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (230*y - 230*y + 3*y**4)*(-4 + 3 + 3).\nAnswer: 6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 0 = -12. Let v be 44\/(-231) + 4154\/1302. Solve v*b - 7 = -z for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 45 - 106362*h - 2*h**2 + 106362*h in the form u*h + l + i*h**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12509*j**4 - 301*j**2 - j - 5.\nAnswer: -300216*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 3 + 3)*((0*h + 0*h - 2*h**2)*(2 - 4 + 4) + (-151*h + 159*h + 256*h)*(2*h - 3*h - 2*h)).\nAnswer: -796*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.336 * 3.2.\nAnswer: -1.0752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126940*v**2 - 50*v + 71*v - 126937*v**2 + 84*v.\nAnswer: 3*v**2 + 105*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -10250053 (base 7) to base 3\nAnswer: -1122011022121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, c: 5, h: 5, m: 1, x: 7}. What is prob of picking 2 x?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 569 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -o**5\/10 - 5*o**4\/12 + 2*o**3\/3 + 2*o**2 + o. Let l be (4\/10)\/((-2)\/20). Is h(l) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23253103?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - 4149. Let r(b) = b**2 + 4138. Give 7*j(y) + 6*r(y).\nAnswer: -y**2 - 4215","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) 2 (c) -4 (d) -3\/2 (e) -7 (f) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-10\/3)*(y\/y**(-7\/4))\/y*(y\/((y*y\/(y**29\/y*y)*y)\/y))\/(y*y**23))**(-9) assuming y is positive.\nAnswer: y**(-87\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 54, 117, 218, 369, 582?\nAnswer: 869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/2815645 and 49\/122.\nAnswer: 343508690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*d*p*r*z**2 - 6*d*p*r*z - 2*d*p*z**2 + 8*d*r + 4*d*z + p*r*z + 2*p - 2*r + 89*z**2 wrt z?\nAnswer: 12*d*p*r - 4*d*p + 178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 947986 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*w - 14 - 23 = 0, 0 = -2*i + w + 23. Let j(a) = a**3 - 14*a**2 + 35*a - 16. Let o be j(i). Let d(r) = r**2 - 6*r. Determine d(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1536 and 480.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1 (b) 0.2 (c) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 376250000 to the nearest one million.\nAnswer: 376000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 13*m + 135. Let v be k(-10). Suppose -5*q - 4750 = p, -v*p - q - 19399 = 4255. Round p to the nearest 100.\nAnswer: -4700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 637 = -16*t + 4061. Suppose -24*z + t - 46 = 0. Solve 2*x = -4*v - 20, -2*x + 6*x + z = 3*v for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t - 5. Let l be w(-7). Suppose -4*o = -3*o - 2. Let m(d) = -d**2 + d + 3 + 2*d + 6*d**2 - 2*d**o. Let q(k) = k**2 + k + 1. Give l*q(n) - m(n).\nAnswer: -n**2 - n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 16) in base 12?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7)\/(-4) + (-2)\/(-8). Suppose -2*z = -5*t + 145, -5*z - t - 347 = 2*t. Let l = z - -68. Do l and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141586 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 759 divided by 1\nAnswer: 759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 PM and 1:47 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s**3 - 11*s**2 + 5*s + 9. Let q be t(-6). Let l = 18 - q. Which is bigger: 5 or l?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*o**5 + 0*o**2 + 0*o**4 - 4\/9*o**3 + 2\/9*o + 0.\nAnswer: 2*o*(o - 1)**2*(o + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*z + 13 = 2*h, -z - 1 = 2*h. Let g = 4 + h. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -2*v**5\/5 - 14*v**4\/5 + 22*v**3 - 26*v**2 - 108*v\/5 + 144\/5 = 0.\nAnswer: -12, -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.458 + -0.12\nAnswer: 0.338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 33 = 7. Let m = 16 + k. Let a = m - 24. Round a to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 60.06874 to 1 decimal place.\nAnswer: 60.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/2 and -49\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6981551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 242681200*k. Let n(y) = -6*y. Give n(t(z)).\nAnswer: -1456087200*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + 2*x - 8. Let s be j(-7). What is the remainder when 3\/(-27) + 381\/s is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -90*a + 6182. Calculate g(69).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -412*u + 2742. Does 25 divide q(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/20 and 87\/62.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -513\/6451 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/13 - 236*r**2\/13 - 976*r\/13.\nAnswer: 2*r*(r - 122)*(r + 4)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -335*i**6\/3 - 3*i**5\/5 + 7529*i**3\/3 + 1849. What is the third derivative of q(d) wrt d?\nAnswer: -40200*d**2 - 72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 898*p**4 - 724 - 491 + 126*p**4 wrt p?\nAnswer: 4096*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8) + 2 + sqrt(8) + -4.\nAnswer: -2 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2*p = 172, -17*g + 14*g = p - 124. Let s be 3*-7*1\/(-3). What is the highest common factor of s and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 446435801.\nAnswer: 7, 53, 1203331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 + ((-1 - -4) + -4 - 2) - -6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1, -37, 4, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-381*q + 240 - 240)*(1 - 3 + 1)*(2 - 1 + 1).\nAnswer: 762*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27132 is divided by 5267?\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -1. Let h(d) = d - 4. Suppose -3*g + 6 = -6. Let v(z) = g*u(z) - h(z). Let l(r) = 11*r**2. What is l(v(p))?\nAnswer: 11*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -112.98294 and 0.01.\nAnswer: -112.97294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of -h**6\/120 + h**5\/15 + h**4\/4 - 3*h**3\/2 - 34*h**2. What are the prime factors of b(-7)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*y - 4 + 14 + 68 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001487130506 rounded to six dps?\nAnswer: 0.001487","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1403441203 (base 5) in base 2?\nAnswer: -1101101001011101001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 301 - 298. What is the first derivative of 87 - 2*t**h + 1050*t**4 + 1051*t**4 - 2080*t**4 wrt t?\nAnswer: 84*t**3 - 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, m: 2, g: 3}. Give prob of picking 1 m and 1 v.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n + 20. Let l = 16 - 16. Let t be y(l). Is (-343)\/(-3) - t\/(-30) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15398, -15446, -15520, -15626, -15770?\nAnswer: -15958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111110101110111100 (base 2) in base 3?\nAnswer: -222101001221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 46 (base 14) to base 5\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of 12769*b**5\/60 - 113*b**4\/12 + b**3\/6 - 3851*b**2. Solve d(j) = 0.\nAnswer: 1\/113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from isfffxifsdfxdsisfxf. Give prob of sequence ddx.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1367 - -1374. Put x, -3, 2 in increasing order.\nAnswer: -3, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -258 + 128 = 26*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -6*j**2 - 13*j - 31. Let x(a) = -12*a - 11. Let t(p) = 3*i(p) - 4*x(p). Let m be t(6). What is m rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/6305 and -67\/30.\nAnswer: 37830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 241252830 a multiple of 910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -5*l + 5. Suppose 0 = -3*t + 7 - l. Find the third derivative of -8*w - w**6 + 8*w - w**t wrt w.\nAnswer: -120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1582 and 113.\nAnswer: 1582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2201121 + -100100012200?\nAnswer: -100020111002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -5*u. Determine w(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 3*l - 3*j + 9, 2*j = 3*l + 6. Suppose u - w = 7, -w = 6*u - 2*u - 3. Solve l*o + 2 = u*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 17359631 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-284)\/(-8))\/(4\/8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22620 by 780.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3533\/4 - 8867\/10. Let h be 1\/5*-2*8. Let z = i - h. Sort -4\/9, -2, z in decreasing order.\nAnswer: z, -4\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 3*k**3 - 117*k**2 + 225*k - 111 = 0?\nAnswer: 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -777 in -4, -2, 5, 2\/35, 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002889 rounded to five dps?\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/((-1530)\/3235) - -9 - -10?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2863021 is divided by 1431507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**2 + g + 11. Let q(o) = 6*o**2 + 3*o + 35. Give -4*q(i) + 11*v(i).\nAnswer: -2*i**2 - i - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 288.338 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6 + (0 - -4) - -3. Let q be 12\/30 + z\/(-5). Factor 0*i**2 - q*i**4 + 0 - 3\/5*i**3 + 4\/5*i.\nAnswer: -i*(i - 1)*(i + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 243764?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p, 1 z, and 1 y when four letters picked without replacement from zsppyjyzipjp.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of y**5\/60 + y**4\/8 - 5*y**3\/6 - 5*y**2. Let c be z(2). Solve 4*n - 3*n = 4*v - c, -v = -2*n - 10 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*3\/15 - (-110)\/325\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 - (6 + -7)) + 367. Let o = i - 365. Let d(b) = -b**3 + 9*b**2 - 7*b - 5. What is d(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 1. Let z be ((-136)\/16)\/(c\/14). What is the highest common factor of 17 and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*l + 3. Let q(d) = -90*d**3 + 4*d + 126. Let b(a) = 90*a**3 - 5*a - 127. Let u(h) = l*b(h) - 5*q(h). Differentiate u(x) with respect to x.\nAnswer: 270*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14.0002 - 14. Round p to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2681733*f**3*w**3 + f**2*w**3 - 2*f**2*w - 2*f*w**3 + 9670*f*w**2 + 7*f*w wrt f?\nAnswer: -16090398*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 765493365?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -165 divided by -33\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -42502543 (base 8) in base 12?\nAnswer: -3059657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31512993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oonoonnnon. Give prob of picking 1 n and 2 o.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g + 5. Let m(q) = -q**3 + q**2 - 2*q + 55. Let n be m(0). Let k be (-132)\/n*-10*10\/8. Suppose -5*c - 37 = 4*t, 0 = -3*c - 4*t - t - k. What is f(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 20*a + 865. What is j(-43)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7\/10 - 1\/30. Let f = 7109 + -7108.8. Put 11, k, f in increasing order.\nAnswer: f, k, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -2*j - 13. Let p be j\/78 + 19\/(-6). Let h(l) = -l**2 - 7*l - 4. Give h(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8686)\/(-774) - (5 + 6).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dlmt when four letters picked without replacement from gldggdgodtdomgtogtd.\nAnswer: 5\/31008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*p + 20 = 72*p. Calculate the remainder when 20 is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 519064 divided by -8?\nAnswer: -64883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1427)\/(-2))\/((-186)\/60 - -3). Let b = 15602 + y. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 432*p + 1. Let t(u) = 1220*u + 3. Calculate 4*t(o) - 13*x(o).\nAnswer: -736*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1105 is divided by 158.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 460 and 13.\nAnswer: 5980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 0 + (22 - 5))*1781\/1781\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201 is divided by 129.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 656.7 + -719. Let i = 62 + u. Put 2\/17, 0.5, 2, i in descending order.\nAnswer: 2, 0.5, 2\/17, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of 2*i**2 - 7*i - 4. List the prime factors of s(16).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12251 - 12241. Let v(z) = -z**2 + 36*z - 252. Determine v(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(972)*-1)\/(sqrt(729) - (sqrt(729) - (3*sqrt(729) - sqrt(729)))).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 483278932 greater than or equal to 483278932?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.114 - -0.132. Let l = s + -0.828. Round l to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - t**2 - 22*t - 9. Let n be p(-4). Let h be (-4 - (2 + -6 + 3)) + n. Let x(g) = -2 + 0 + 3*g - 3. Calculate x(h).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 113 - 97. Solve 4*a - 2 - u = -2*y, y - a = -6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/1*18\/81.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of a**3\/6 - 3*a + 2. Let d(h) be the first derivative of k(h). Let v(s) = 2*s**2. What is v(d(m))?\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5016 and 3648.\nAnswer: 40128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (15\/12)\/(3\/(-36)). Let l = h + 15. Let d be (-2 - 0) + (l - -9). Calculate the highest common divisor of 35 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 224 and 9478.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dr when two letters picked without replacement from eersseeesdellledde.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i**2 + 111*i**2 - 1 - i + 2 as l*i**2 + z + u*i and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1603745*c - 1603682*c + 3087 for c.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/6339334 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, m: 1, f: 1, j: 2}. Give prob of picking 1 f and 2 j.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at least 88\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**3\/11 + 604*i**2\/11 - 12018*i\/11 + 60696\/11 = 0 for i.\nAnswer: 9, 12, 281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 25 = 0, 0*r - 4*d = 2*r + 8. What is the third derivative of -3*l**2 + 2*l**r - 4 + 2 + 2 wrt l?\nAnswer: 240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 0*i**2 - 5 + 6*i + 4*i**3 - 3*i**3 - 9*i**2. Let m be c(8). Let s be m\/(-6) - 1\/(-2). Solve 2*n - 4 = -s*l, -5*n + l - 3 = 20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - 30*c**2 + 2*c + 63. Let r be w(-30). Let t(n) = 179 + r*n + 176 - 355. Let m(v) = 8*v**2. Give t(m(a)).\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.14 and -37.\nAnswer: -36.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2943\/4252 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (4 - 6) + 18\/4*-1*-6718?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-2)*11\/(968\/374)?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 12 + 4 = -4*p, q - 2 = -p. Let w = 2 + 0. Let g be (2\/4)\/(1\/w). Which is the nearest to q? (a) g (b) 5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20221212010012 + -2121?\nAnswer: -20221212012210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10530856*s*v**2 - 22*s*v + 501*s - v + 1280 wrt v?\nAnswer: 21061712*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 244, -11, 129 in descending order.\nAnswer: 244, 129, 2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-26)\/8)\/(1\/(-4)). Suppose 212 + b = 3*z. Is z a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2899 + -456. List the prime factors of b.\nAnswer: 7, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-424)*40816\/(-12755)\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 465 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -67*o**2 - 1966*o - 7257. Calculate r(-25).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 7*j + 6. Let p(v) = 15*v + 11. Calculate 5*k(n) - 2*p(n).\nAnswer: 5*n + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1792 and 117824?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*q = -p - 81*q + 50, -3*q = 36 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x - 8. Let f be t(-12). Suppose 2*p + 2*z - z - f = 0, -3*z = 6. Is (-991)\/(p\/9*1*-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, 44932, 10, -5 in ascending order.\nAnswer: -5, 10, 40, 44932","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-5 + 2)*(-1 - -3))\/1. Let g = z + 16. Let b(t) = -t**3 + 8*t**2 + 19*t + 11. Let n be b(g). Solve 5*l - 7 = 2*q, -5*l = -5*q - n - 9 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 275591 to the nearest integer?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 640 and 10?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -100 + 201. Let b be (-10)\/15 - (-1 + a\/(-3)). What is the highest common factor of b and 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -9549*s + 1298588. What is a(136)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 (base 16) in base 9?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -3*w + 40 - 29, -2*x + 4*w + 4 = 0. Let a(i) = -i - 3. Let n(s) = -2*s - 2. Give x*a(t) - 6*n(t).\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 97426.9 to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 32\/(-2)*156\/(-48)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209615 >= 209930?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 398629.6 millimeters in meters?\nAnswer: 398.6296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vb when two letters picked without replacement from {v: 1, b: 1, t: 2, i: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*h = 2*k + 4, h + 2 = 0. Suppose 0 = -6*p + 2*p - 5*d + 271, 0 = k*p - 4*d - 142. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + -1)\/(112\/(-21)). Let p = x + 23\/24. Factor p*n**4 + 2*n**3 + 1\/3*n + 1\/3*n**5 + 4\/3*n**2 + 0.\nAnswer: n*(n + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -606.39 and -18?\nAnswer: 10915.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**3 - t**3 + 0*t**3 + 0*t**3 + t**3 - 4*t**3 + (-2*t + 3 - 3)*(-1 + 1 + 2*t**2) + 0*t**3 - t**3 + 0*t**3 + (0 + 2*t + 0)*(4*t**2 + 0*t**2 - 7*t**2).\nAnswer: -18*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -1160*j**2. Let p(l) = 4*l**2 - 679*l + 1. Give p(w(b)).\nAnswer: 5382400*b**4 + 787640*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand h - h + h**2 + 2*h - 2*h + 3*h**2 + (-8*h + 0*h - 6*h)*(2*h + 2*h - 2*h).\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 1, -1, 17.94878.\nAnswer: -1, -2\/11, 1, 17.94878","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/1037 (b) -1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -414 * 1007\nAnswer: -416898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 1506.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3106 is divided by 515.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 1 - 0. Let z be (35\/(-7))\/(b\/(-2)). Let a be ((-3)\/5)\/(2\/z). Solve 0 = -g - a, 2*q + g = -q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 3*a + 7, -42*d - 4 = -45*d + 2*a. Solve 5*j = 6*c - d*c - 15, 4*j + 1 = c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25596.2 - 25596. What is the smallest value in -1, 0, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8468201 + -2?\nAnswer: 84681aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -28) + (-50 - -15)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 31 = -u, -2*u + 124 = 2*u - 4*o. Let t = u - 5. Suppose -36 = -5*a - t. Solve 5*w = a + 18 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 8)*(2*b + 4*b - 4*b) + (4*b - 26*b - 12*b)*(3 + 0 - 1) + (-5 - b + 5)*(-4 - 2 + 5).\nAnswer: -55*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of q**4 + 2*q**3\/3 - q**2\/2 + 2. What is the units digit of u(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*c*t**3 + 2*c*t**2 + 458911844*c*t + 50534069*t**6 wrt t.\nAnswer: -36*c + 6064088280*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in eleven eighths of a microsecond?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21\/4 in -0.1, 2\/5, 0.0413, -1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 21. Suppose -5*k = -2*j - f, -4*j + 5 = 2*k + 1. Solve j = 2*m + 2*m + 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 718934 divided by 4?\nAnswer: 359467\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2631291, -2631290, -2631289?\nAnswer: -2631288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13530824 a multiple of 109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and -1261372554.\nAnswer: -1261372558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**2 - 3*r - 2*r**4 + 2*r**3 + 3*r - r**2 - 4 to the form h + a*r**4 + s*r + g*r**3 + u*r**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4923? (a) 0.04 (b) 1 (c) -0.32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -4*d**2 - 66*d - 117. Let w be x(-12). Solve -21*u - 162 = -w for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of y**7\/70 - 3*y**6\/40 + 3*y**5\/20 - y**4\/8 + 9*y**2. Factor r(d).\nAnswer: 3*d*(d - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20542*u - 2360*u**2 + 41079*u - 20538*u - 5734 wrt u.\nAnswer: -4720*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1039 and -6821 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*s + 19814 = -55*s - 29726. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/4)\/((-1)\/8). Calculate the lowest common multiple of 2 and u\/6 - (-4 + 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 y when three letters picked without replacement from {y: 3, b: 4, t: 1, s: 2, w: 2}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 + -19. Let a = -19039 + 19083. What is the remainder when a is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/6? (a) 103\/9 (b) -5\/4 (c) -1 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(1\/2) - 0. Suppose -p - 6 = -3*w - 4*p, 2*w - k = -4*p. Suppose 0*v = -9*v. Solve v = 5*l - 10, -l - 15 + 5 = w*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -0*j + 4*j + 80, -3*t - 4*j = 60. Is t + 16 - (-549)\/1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 16 - (56 + -56 + 17) - 37?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.018 - -4.618. Let v = -18.2 - -23.8. Let j = v - q. What is the nearest to 2\/11 in 1\/10, -2\/9, j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 bigger than 85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 9:01 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*1 - (30 + -2). Let b(a) = -22*a - 736. Let s be b(-36). Let n = u + s. What is the greatest common divisor of n and 210?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*x + 96 = -13*x + 50*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5 + (-76)\/8)\/((-9)\/(-24)). Let b be (x\/8)\/(1\/(-2) + 0). Suppose 1816 = 5*s + b*s. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.35*-4492.\nAnswer: 1572.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 divided by -3254?\nAnswer: -61\/3254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1897181654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57722 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -80, 41 in increasing order.\nAnswer: -80, -1, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + v - 3. Let l be z(3). Suppose -l + 7 = -2*c. Solve -1 - c = -y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus 4265?\nAnswer: -4266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in 11, 2, -0.2, -1.9, -41?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -5861*g**3 - 143*g**2 - 23*g - 7. Is u(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/(-16)*-2*74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2 + sqrt(75))*-4 + sqrt(75) + 1)**2 + ((sqrt(75)*-1 + sqrt(75))**2 + 5)*5)*5.\nAnswer: 1050*sqrt(3) + 3745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 9:58 AM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 10. Let w(a) = -a + 1. Let g be w(n). Suppose 4*t - 22 = 2*r, 0*r = -4*t + g*r + 19. Solve p + 4 = t for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c + 4*c + 4*c)*(5395*c**2 - 1133*c**2 + 4225*c**2)*(-4*c + 6*c - 3*c) in the form h*c**3 + r*c**4 + v*c**2 + o + b*c and give r.\nAnswer: -59409","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22990 by -2.\nAnswer: -11495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 13*u**3 + 3964*u**2 + 62*u**4 + 12 + 121*u**3 - 4*u**4 - 3794*u**2 + 82*u + 8*u**5 + 16*u**3 = 0.\nAnswer: -3, -2, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {g: 1, b: 6, q: 2, t: 4}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/875 and 41\/77.\nAnswer: 9625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -41, 26\/7, 11\/6?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 3223100?\nAnswer: 3223111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -41364, -33162, -19500, -384, 24180, 54186?\n\"Answer: -h**3 + 2736*h**2 + h - 44100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 221029369367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 1 = 101. Calculate the highest common factor of c and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 4*i - 13, 0 = 3*x - 2*x + 4*i + 9. Calculate the common denominator of 95\/12 and (-115 + x)*15\/648*-3.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {p: 4, m: 3, u: 2, r: 4, b: 3}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2612205 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -611 + 635. Differentiate -32 - 60*a - 148 + h - 3 with respect to a.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38 divided by -1\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 125 = -3*t, -5*t - 217 = 5*o + 8. Which is the third biggest value? (a) t (b) 2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.3 * -108.406.\nAnswer: 1008.1758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10.93 - -11. Let m = 2.4534693 + -2.38347. Let i = m - u. What is i rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*l - v, 0 = 4*l + v + 3*v - 16 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/(-48)*(-11932)\/(-471))\/(((-6)\/8)\/3)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2. Let y(c) = -131*c. Give y(u(f)).\nAnswer: -131*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 9 = -3*g. Suppose 0 = g*m - 5 - 1. Let b(f) = -f**2 + 3*f + 2. Let v be b(3). Do m and v have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -300826 take away -1021?\nAnswer: -299805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*s + 29 + 99 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + 3*h + 2. Let x be j(-2). Suppose x = 9*w - 7*w - 4. Which is the second biggest value? (a) -3 (b) w (c) 1\/6 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 215234 or -3?\nAnswer: 215234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/4)\/(25\/(-50))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**2 + 0*d**2 + 2*d**2)*(-66640*d**2 + 105*d**3 + 66640*d**2).\nAnswer: 210*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kx when two letters picked without replacement from xxk?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 0.3, -2\/15, -0.5, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 37, 139, 309, 547, 853, 1227?\n\"Answer: 34*b**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + (6\/(-27) - (-100)\/45). Suppose 5*y - 226 = -4*s, 3*s = -o*y - 0*y + 135. What are the prime factors of y?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 103788, 207575, 311362, 415149, 518936, 622723?\n\"Answer: 103787*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 0 + 6. Let p be a\/(-6) + (-11)\/(-2). Find the third derivative of -g**2 + p*g**2 + g**5 - 3*g**2 wrt g.\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-6)*(-6255)\/1112*2\/6?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 131*w**3 + w**2 - 2*w**2 + 2 - 127*w**3 - 4*w**2 to c*w**3 + t*w**2 + v + d*w and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 + 28 + (1 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**3 - 10*n**2 - 10*n - 3. Let z be 0\/(-4*3\/6). Suppose -4*c = -2*f - 2, -5*f + z*f - c = 38. Is i(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101221 + -3?\nAnswer: -101230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*m**5 - 18862*m**4 - 14434*m**2.\nAnswer: -120*m**2 - 452688*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"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: What is 309 minutes after 10:35 AM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2 + 11*z + 0 + 15*z - 4. Let i be n(3). Let o = i + -53. What are the prime factors of o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3*l**3 - l**2 - 6*l - 7. Let v(b) = 7*b**3 - 2*b**2 - 11*b - 13. Let a(w) = -5*h(w) + 3*v(w). Let q be a(3). Does 17 divide q + (0 + 2)*(4 - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24 + 15 - 28 + 2*i**2 + 35 + 64*i to the form c*i + w + d*i**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1*(3 + (sqrt(78) - 3*((sqrt(78) - (1*sqrt(78) + sqrt(78)) - sqrt(78)) + sqrt(78)))\/sqrt(6)).\nAnswer: 2 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -512*f**3 + 521*f**3 + 53*f**2 + 6*f - 27*f + 3*f - 4*f as v*f**2 + t*f**3 + b + r*f and give r.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.466, 2\/55, -2 in ascending order.\nAnswer: -2, 2\/55, 0.466","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2511)\/(-135) - 4788\/171.\nAnswer: -47\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(85)*-1*-3*-2)\/(((1*sqrt(480))\/sqrt(12))\/(sqrt(32)\/(sqrt(4)*1))))**2.\nAnswer: 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 759 (base 12) to base 4\nAnswer: 100311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-9) - (-28)\/48*(-21)\/6\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -232*y + 3080. Give m(13).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 77094223 + -2?\nAnswer: 77094221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - -4. Suppose 0 = 22*y - m*y - 3476. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 585 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 340139141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13\/6 + -77\/30. Let f = 139 - 107. Which is the closest to 0? (a) p (b) 0.1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 672645?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162*n**2 - 79*n**2 - 65*n**2.\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 2886*t + 2 + 817*t.\nAnswer: -2069*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4833 = 6*p - 4845 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seventeen quarters of a tonne?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.205 rounded to one dp?\nAnswer: -8.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 116 = 4*q, -k - 3*q = -1 - 7. Solve -4*r - 6 - k = -2*o, -2*o = 3*r + 9 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -10003*l**2\/2 + 15*l - 7. Let k be m(5). Round k to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.08, 7, -3, 2\/755?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/15*(182 - (-7)\/(-1))?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-26)\/(-5) - 8\/40. Suppose 27 = v*f + 7. Suppose 2*j + 2*j - f*n - 2356 = 0, -2*j = -4*n - 1182. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i, 1 v, and 1 m when four letters picked without replacement from {i: 3, f: 4, s: 1, v: 2, m: 2}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 1 = 13 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 12) in base 3?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -101670621 less than -508353101\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7594 or -1?\nAnswer: -7594","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2062*g + 399*g**2 + 2063*g - 191*g**2.\nAnswer: 208*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 13, -410\/9, 2\/9?\nAnswer: -410\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000767753 to 5 decimal places.\nAnswer: -0.00077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4*h = 63, 0*h = 4*o - 5*h + 285. Let b = -51 - o. What is the lowest common multiple of b and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h**3 - 34028090*h**2 + 57895545452405*h = 0. What is h?\nAnswer: 0, 3402809","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7516 to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*s + 629*s - 63224 = -357*s + 33*s for s.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - t**2 + 21. Let z be q(0). Let v be (7\/35)\/(z\/30). Let -1\/7*w**3 + 1\/7*w**2 + v*w + 0 = 0. What is w?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fbz. What is prob of sequence zfb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 39991 rounded to the nearest 100?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of -a**4\/12 + a**3\/3 - a**2 + 27*a. Calculate u(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 131?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (72\/3 - -9)\/(15 + -14)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10129 less than -10117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/(sqrt(6) - -2*sqrt(12)\/sqrt(2)))**2 + -4.\nAnswer: -25\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 58*x = -56*x + 5, 295*h + 5*x = 293*h - 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 682 divide 454075320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 215443, 215438, 215435, 215434, 215435?\nAnswer: 215438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 313 - 142. Let f be ((-4)\/(-12) + 1)\/((-19)\/a). Let j(w) = -3*w - 32. Give j(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -2*h - 3, -6 = h - 6*h - c. Let l(v) = v**2 - 8*v + 5. Let w be l(6). Let p = w + 10. What is the remainder when p is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*o = o + 6, -o + 59 = 5*i. Let u(j) = 7*j**2 - 22*j - 23. Calculate the lowest common multiple of i and u(-1).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*w - 7 + 14*w + 16 + 24*w + 7*w as l*w + z and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 125 = q + 635, 0 = -4*f + 2*q + 764. What is the highest common divisor of 84 and f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 15\/2, 0.0764, -1, -0.3?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 69. Calculate the remainder when (-10)\/(-4) - 1\/2 is divided by (-2)\/13 - 75\/y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2324.6379 rounded to the nearest 100?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5149\/6 + -857. Let n(x) be the second derivative of 1\/5*x**6 + 0*x**5 + 0*x**4 + 16*x + 0*x**2 + 0 + b*x**3. Find the second derivative of n(k) wrt k.\nAnswer: 72*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 290307*k**4\/8 - 1451541*k**3\/8 + 870951*k**2\/8 + 2612745*k\/8 - 27\/4 = 0 for k.\nAnswer: -1, 2\/96769, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-5)\/2)*156\/351\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c - 2*c - 2*c**2 - 311*c**3 + 177*c**3 - 444*c**3 as z*c + g*c**3 + h + y*c**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, -2\/7, -4\/495, -3, 0?\nAnswer: -4\/495","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 3 = -l, 10 = -5*o - 5*l. Suppose -14 = -o*j - 7*j. Let y(g) = 2*g - 2. Give y(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.074 (b) -0.4 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 3:57 PM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 5*b - 24. Determine d(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -b + 4*f, 2*b + 3*f + 9 + 8 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.06837 + 411.93163. Which is bigger: 4\/7 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 z when three letters picked without replacement from {z: 1, p: 9, f: 1, k: 8}.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165140 is divided by 906.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cccp when four letters picked without replacement from ppccpcpcpccpp?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b - 6, 4*u + 4*b + 8 = -0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-5) + 429\/65. Suppose -z*j + 36 = -9*j. Which is bigger: j or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s - 1. Let u(l) = -19*l - 305. Calculate -6*p(b) + u(b).\nAnswer: -b - 299","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 346655556 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3\/7 - 743*n**2\/7 - 1812*n\/7.\nAnswer: n*(n - 151)*(5*n + 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1033 - 3097\/3. Factor -1\/3*m**4 + 0 + 2\/3*m - d*m**3 + 1\/3*m**2.\nAnswer: -m*(m - 1)*(m + 1)*(m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5120104 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aajg when four letters picked without replacement from {j: 1, g: 2, a: 4, z: 3, e: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 25167\/4*(-116)\/(-87) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, t: 2, c: 1, w: 9, o: 3, g: 2}. Give prob of picking 1 z and 1 c.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 367845.9l to millilitres.\nAnswer: 367845900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of 1\/5*f**5 - 25\/24*f**4 - 1\/2*f**2 + 102 + 19\/12*f**3 - 2*f. Factor r(g).\nAnswer: (g - 2)*(g - 1)*(8*g - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/42)\/(1\/3))\/((-1570)\/(-291235)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39653.7 - 0.2.\nAnswer: -39653.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -157 + 285. Suppose 7*b + 43 - 708 = 0. Calculate the remainder when b is divided by (-15)\/(-10)*c\/6.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 4*z - 646, 0*z - o - 162 = -z. Let k = z + -95. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 3*j + 4 = -i, -5*j - 16 = 2*i. Suppose 5*w - 150 = i*h, -3*h + 3*w = -0*w + 216. What is h rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 202\/32579771?\nAnswer: 202\/32579771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of s**3\/3 - s**2\/2 - 3817. Let n(v) be the second derivative of -v**5\/10 + 5*v**4\/12 - v**3 - v. Calculate n(j) - 6*q(j).\nAnswer: -2*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1119216 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1000*s = 2*x - 1004*s - 1454, x + s - 706 = 0. Calculate the remainder when x is divided by 57.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4410019655?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d + 5. Let f(h) = h**3 + 5*h**2 - 3*h + 9. Let i be f(-5). Let c(b) = 4*b - 24. Let y(q) = i*l(q) + 5*c(q). Let v(p) = 2*p. Calculate v(y(s)).\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-3 - 4 - -6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -4*r**2 - 4*r + 293. Let v(o) = -5*o**2 - 5*o + 296. Calculate 6*k(c) - 5*v(c).\nAnswer: c**2 + c + 278","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 - 19. Let j(s) = s**3 - s + 8. Determine j(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**3 + 11*w + 3. Let s be m(7). Suppose -v + 2*j = 4*v + 3852, v + 4*j = -s. Let b = -470 - v. Is 50 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 - 3*s**2 + 4*s**2)*(2 + 2 - 3)*(-141*s - 973*s - 281*s).\nAnswer: -2790*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*a**4 - 54*a**3 + 126*a**2 + 1?\nAnswer: -120*a - 324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (77\/(-14) - -2)*40\/(-14). What is the second smallest value in n, 2, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 508612509?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7928 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 142, 514, 1122, 1960, 3022, 4302, 5794, 7492?\n\"Answer: -w**3 + 124*w**2 + 7*w + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a millennium in months?\nAnswer: 39000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i**2 + 0*i**2 + 6*i**2 + (1 - 5*i**2 - 1)*(-3 + 4 + 1) + (-1 + 1 - 3*i)*(20*i + 22*i - 151*i) in the form r + q*i + h*i**2 and give h.\nAnswer: 323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (8 - (0 - (-4 - 0)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 o when three letters picked without replacement from wlfwlfwwowwwff.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 2*k + 3*k. Let o = 3 + k. What is the lowest common multiple of 8 and o?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*g**3 - 9*g**3 + 65*g**3.\nAnswer: 24*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 6 - 1)*(12*b + 11 - 11) - 2*b - b + 4*b + 6*b + 89*b + 11*b.\nAnswer: 83*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of l**8\/4200 - l**7\/2100 - l**6\/450 + 3*l**3 + 8*l. Let z(a) be the second derivative of t(a). Find j, given that z(j) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*l + 28*l + 5565. Suppose l = r + x + x, 5*r = 3*x + 9223. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(8\/7))**8*(u*u**(-36)\/u*u)\/u**(-26) assuming u is positive.\nAnswer: u**(57\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 590215842?\nAnswer: 2, 3, 10929923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78 (base 16) to base 8.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-99)\/45 - (-8)\/(-10). What is the closest to l in 5, -1\/10, 4?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b. Let c be l(3). Let t = 24577 - 24577.05. Sort c, 3, t, 2\/5 in ascending order.\nAnswer: c, t, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(2560) + (sqrt(2560) - sqrt(2560)*2) + sqrt(2560) - sqrt(2560)) + sqrt(2560))\/((sqrt(512) - 6*sqrt(512) - sqrt(512))*1).\nAnswer: -sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 100*j + 22604. Give i(-226).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2 = 38. Let h = v + -6. Solve h*f = 2*n - 16, 4*f + 4*n = 3*n - 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*w + 22*w - 730. Calculate the remainder when w is divided by 33.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1295.2, 3, 0.01, -1\/26?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -688, -732, -796, -886, -1008, -1168, -1372, -1626?\n\"Answer: -s**3 - 4*s**2 - 25*s - 658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 87*d + 200*d + 356*d to v + x*d and give x.\nAnswer: 469","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 377 divided by -12\nAnswer: -377\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2010045*t - 10050247. Determine m(-5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - -25. Let i = a + -38.746. Let n = 0.074 - i. Round n to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 6:32 AM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-9))\/(60\/((-135720)\/29))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*d + 2595 - 315. Calculate the lowest common multiple of 8 and d.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.1, 2\/23, -4?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 103*s + 2660. What is h(-26)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*d - 48*d - 49*d.\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-11 + 15)*(-85)\/(-68). Let p be (-75)\/6*1\/5. What is the nearest to -3 in p, 1, y?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/3)*h**(1\/6))**(5\/9) assuming h is positive.\nAnswer: h**(5\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = -3*b + 11. Let s = 21 + b. Let k = -1415 + 1423. What is the greatest common factor of s and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 41, -3, 2, -2 in ascending order.\nAnswer: -3, -2, 0, 2, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1278*f**2*j**3*w + 16*f**2*j**2*w - 2*f**2*j**2 + 4*f**2*j + 40*j**3 - 5 wrt w?\nAnswer: 1278*f**2*j**3 + 16*f**2*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(130)*4*-1)\/(-4*sqrt(250) - sqrt(250)).\nAnswer: 4*sqrt(13)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6129430 is divided by 1487.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 - 3*a**2 + 4*a**2)*(312*a - 312*a - 244*a**3).\nAnswer: -488*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 580*j**3 + 6*j + 6. Let l(m) = -1160*m**3 - 10*m - 10. What is -6*l(v) - 10*r(v)?\nAnswer: 1160*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 239 - 145. Let z be s\/18 - (-2)\/(-9). Suppose 25 = z*d + 5. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11640145*c**3 + 41131288 wrt c.\nAnswer: -34920435*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**5 - 16*t**4 - 20*t**3 - 8*t**2.\nAnswer: -4*t**2*(t + 1)**2*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 261059 by 172.\nAnswer: 261059\/172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*n - 5*n + 11*n)*(47*n - 16*n + 0 - 7 - 22*n).\nAnswer: -108*n**2 + 84*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -137 + 137 + 3341*y - 3*y**2 + 2*y**3 - 820*y in the form u + d*y**3 + a*y**2 + t*y and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1480\/13 - 114. Let n = -1 + 1.3. Which is the closest to 1\/4? (a) n (b) 6 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125 divided by 14416?\nAnswer: 125\/14416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 + 0.3. Sort q, -0.1, 1 in ascending order.\nAnswer: -0.1, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2829, -3, 4, -6 in increasing order.\nAnswer: -6, -4, -3, 4, 2829","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 121316036*z**3 + 31096822 with respect to z.\nAnswer: 363948108*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 l, and 2 a when four letters picked without replacement from {g: 3, t: 1, l: 1, a: 2, v: 5, x: 3}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 48\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 60142 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.92393ml in litres?\nAnswer: 0.00292393","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 6*g + 220 = 0. Let m be g\/(-44)*(-2 - 2). Solve -m*f + 0*f + 10 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**2\/3 - 62*o + 13552\/3 = 0. What is o?\nAnswer: -242, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide (-84)\/(-35)*(-28)\/(-8)*255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -170 + 173. Suppose -8 = -z*f + 5*w, -f + 0*w = -4*w - 5. Which is the smallest value? (a) f (b) 8\/7 (c) 0.2 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 3*w - 135 = 9, 237 = 5*r - 4*w. Let p be (-2)\/8 - 103\/4. Let g be p\/r - 2\/9. Is -0.1 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7156433 by -6.\nAnswer: -7156433\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 2 (b) 0.4 (c) -3\/35 (d) -1775\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -422 - -471. Calculate the remainder when t is divided by 2 - ((-13 - -7) + -7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p. Suppose 10*h = 12*h - 2. Let i(s) = -6*s + h - 5 + 4. Calculate i(a(w)).\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -648 + 649. Solve -h + 1 = 4*o - i, 0 = -o - 3*h + 6 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -155 + 221. Let d be b\/(-55) - 12\/(-15). Let g = -59\/124 + -24\/31. Sort 1\/2, g, d, -3 in descending order.\nAnswer: 1\/2, d, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 115 - 113. Suppose -v*n + 5*n - 6 = 0. Solve n = -2*k - 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {z: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-81962)\/1)\/(((-4)\/9)\/(38\/171))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3995101\/6 - 667535. Let f = 1680 + t. Find the common denominator of f and 0 - -1*(-78)\/4.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 601505402, 1203010804, 1804516206, 2406021608, 3007527010?\nAnswer: 3609032412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(66) - (sqrt(66) + sqrt(66)*-2*4) - sqrt(66) - sqrt(66) - sqrt(66)))\/((sqrt(270)\/sqrt(5))\/sqrt(9)*4).\nAnswer: 15*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5161 + 5161 - z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 126 - 121. Let a(r) = 3*r**3 - r**2 - 3*r + 3. Let p be a(2). Solve 0 = 5*y + i + p, d*y - 6 + 15 = 3*i for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, -2, -1\/4, -445, -3\/31 in ascending order.\nAnswer: -445, -2, -1\/4, -3\/31, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*y = -319, 5*y - 239 = -4*s + 398. Let t = s - 160. Sort t, 3, -18\/11 in descending order.\nAnswer: 3, -18\/11, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 344 + -338. Let p(z) = z**2 - z - 3. Let l be p(3). Calculate the smallest common multiple of (4 + -2)*(-1 + l) and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 4, -1.7, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -11*v - 10. Let p(m) = 39*m + 36. Let o(i) = 5*p(i) + 18*s(i). Let z(y) = -y. Let t be z(-4). Let n be o(t). Is 0 > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*a**2 + 2*a**2 + 2*a**2)*(-3*a**3 + 3*a**3 - 3*a**3) + 0*a**5 + a**5 + a**5 + (-3*a**4 + 3*a**4 + 2*a**4)*(-3*a + 3*a + a).\nAnswer: 13*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 135783 and 414.\nAnswer: 6246018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a gram in milligrams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 123590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 8) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99872844 divided by -3.\nAnswer: -33290948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -52249?\nAnswer: -52246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11364 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: -0.1342 times 1519\nAnswer: -203.8498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -4. Calculate the remainder when d is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - i + 0*i)*(0 + 0 - 3*i) - i**2 - 4*i**2 + 4*i**2.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3346 + -314047?\nAnswer: -317415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 1 = 5*l, -5*p + 7*p + 3 = -l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + 4 - 3) + 1 + 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1594?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 3*h, 22*h - 25 = -5*n + 119 for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vrtd when four letters picked without replacement from {p: 1, t: 2, d: 2, u: 1, r: 1, v: 2}?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, l: 4, i: 2, o: 8, z: 3}. Give prob of picking 1 i and 1 y.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 10*u - 19. Let f be 4 + 10\/(-15)*18\/(-3). Let o be j(f). Let b(d) = 2*d + 3. Let c be b(o). What is c rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 135.4, 0.3, 2\/5, 2, 1, 3\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44 + 149. Let j(z) = -z**2 - 105*z + y*z. Let g(s) = 3*s. Determine j(g(f)).\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n**3 - n**3 - 8*n**3)*(-1 + 3 + 0)*(18 + 52 - 25).\nAnswer: -1260*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1161*m - 138613 + 58504 = 0 for m.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(2\/61)*(u*u**(2\/17))\/u assuming u is positive.\nAnswer: u**(1193\/1037)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 834?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4998*i**5 + 66*i - 108*i + 42*i + (-2 + i + 2)*(0*i**4 - 3*i**4 + i**4).\nAnswer: -5000*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 26604 + 1?\nAnswer: 26605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -97, -352, -607, -862, -1117, -1372?\n\"Answer: -255*b + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of w**4\/24 - 5*w**3\/6 - 3*w**2. Let t be o(7). Find the third derivative of 4*j**t + 6*j**5 - j**2 - 2*j**5 - 3*j**5 wrt j.\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.1 + 1. Let q = 3.1 + i. What is the nearest to 0.1 in q, 0.5, -2\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 267. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5542, 22178, 49906, 88726?\n\"Answer: 5546*g**2 - 2*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4300\/913 + 406\/83. What is the nearest to -52\/7 in -6, t, 2\/7?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101111 - 10010101000?\nAnswer: -10000111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.122 times -23059?\nAnswer: 2813.198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 5*a - 11 = 0, -56*a + 60*a = -16 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmmmmmm. Give prob of picking 3 m.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1744\/14535 - -2\/855. Put -4, 1\/2, n in decreasing order.\nAnswer: 1\/2, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dqq when three letters picked without replacement from {q: 7, d: 1}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -684 and -43.\nAnswer: 29412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, p: 3, x: 1, e: 2}. What is prob of sequence eep?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 2*c - 83 - 77, 5*v + c = 155. What is the highest common factor of 70 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-672)\/(-120))\/14*-2. Let i = -0.5 - -0.3. Put y, i, 0 in decreasing order.\nAnswer: 0, i, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1738 and 632?\nAnswer: 6952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6370038 is divided by 1203?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-6) - 9246\/(-4221).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51666 is divided by 51658?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -208234*p**4 + p**2 - 12069 wrt p?\nAnswer: -4997616*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 3*v + 2*v - 4*v = 2*v + 37, -7*v + 5*v - 10 = 0 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 15. Let n = 2 - 6. Let a = n + 6. Solve 3*j = a*j + d for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n - 74767 = 9*n - 4*n. What is the highest common divisor of 11 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rtujtbrtssrsrusbu. What is prob of picking 1 j, 1 r, 1 u, and 1 s?\nAnswer: 12\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.3 (b) 2\/9 (c) 0.5 (d) 178\/7 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -4061*s - 2. Let b(i) = 3749*i. Determine b(j(u)).\nAnswer: -15224689*u - 7498","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 87, 314, 757, 1488, 2579?\nAnswer: 4102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7a (base 15) in base 16?\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4391476*k**3*n**2 + k**3 - 13*k + 17849 wrt n?\nAnswer: 8782952*k**3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 14*x - 42. Let o be d(3). Suppose o = 3*j - 217 - 113. Suppose -26 = -4*n + 14. What is the highest common factor of j and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of 9*o**2\/2 + 48*o + 2. Let c be h(-5). Let s be (-7 - -10)\/(c\/7). Let p(x) = -x**3 + 8*x**2 - 11*x + 10. Calculate p(s).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16298 - -16302. Solve 150 = -79*s + d*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*s**2 + s**4 + 6 - 24 - 2*s**2 wrt s.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 8:49 PM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3*i + 0*i**3 + 6*i**2 + 0*i**2 - 2 - i**3. Let o be b(5). Suppose -o = -l + 4. Calculate the lowest common multiple of 20 and l.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 789 is divided by 262?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -710 - -441. Let p = w - -271. What is the closest to -2\/5 in p, -7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + 4 + (2*sqrt(162)*2 - sqrt(162))\/(sqrt(54)\/sqrt(24) - sqrt(9))).\nAnswer: -36*sqrt(2) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 75*p**3 - 1410*p + 795*p + 155*p**2 - 3918*p - 72*p**3 wrt p.\nAnswer: 18*p + 310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 12:05 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -2*x**5\/15 + 5*x**4\/24 - 2*x**3\/3 - 7. Let v(z) be the third derivative of a(z). What is the first derivative of v(n) wrt n?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 53*h - 521. What is c(14)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 975 - 975.0002506. Round j to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kfxbs. What is prob of picking 1 k, 1 s, and 1 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1 + 210 - (31 - 29)?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -4902209 = 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50261?\nAnswer: 50261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -ab (base 13) to base 9\nAnswer: -166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 3*x**2 - 3*x + 5. Let a(b) = -b**3 + 11*b**2 + 11*b + 15. Let f be a(12). Let w be k(f). Does 7 divide (-21)\/(1 + w\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -13747*n. Let d(q) = -173*q + 64*q + 55*q + 56*q. Calculate h(d(k)).\nAnswer: -27494*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2954*p**3*y**3 - 10*p**3 - 66105*p**2*y**3 - p**2*y - y**3 wrt p.\nAnswer: -17724*y**3 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -4*h**3 + 60*h**2 - 47*h - 96. Give p(14).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (298 - 305) + (-4 - 10).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-6)*r*r**(-1\/4)\/r*(r**0*r*r)**35)**(-2\/107) assuming r is positive.\nAnswer: r**(-259\/214)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2085552 is divided by 771.\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50 + -22. Let y = 51 - w. What is the remainder when 67 is divided by y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -6354*y + 18. Let c(m) = 13 - 4*m + 3*m - 8. Let f be c(-12). Let h be s(f). What is h rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 7. Solve -g*m = 5*a - 4 - 1, 4*m + 3*a = 7 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-39) - (-8613)\/377. Suppose h*n = 34 + 380. Solve 2*g + 14 - n = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.17334033 rounded to two dps?\nAnswer: 1.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-54)\/(-10) - 2\/5. Suppose 25 = s*w - 2*d, 0*w - 4 = 3*w - 5*d. Let t = 18 + -12. What is the least common multiple of w and t?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvaavvv. What is prob of picking 1 a and 2 v?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7057.\nAnswer: 7057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4333 + 0?\nAnswer: 4333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3*v**2 + 2*v + 3. Calculate i(3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-5)*d*d)\/(d*(d*(d\/((d**(2\/3)\/d)\/d*d)*d)\/d)\/d*d))\/(d**(-2))**(-3\/32) assuming d is positive.\nAnswer: d**(-265\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 29, 33, 41, 53?\n\"Answer: 2*g**2 - 2*g + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3979394*k**4*o**2 + 4*k*o**2 - 155*o**2 + 37*o - 473 wrt k?\nAnswer: -15917576*k**3*o**2 + 4*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*c = 68*c - 37*c - 423102. What is the smallest common multiple of 12 and c?\nAnswer: 5604","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92409650?\nAnswer: 2, 5, 1848193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from bxaciba.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 584918350 a multiple of 300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 6*i = 0. Suppose i = -q + 5*q - 256. Let x = q - 36. Is x a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23.9 + -10.1. Let i = 123 - 139. Let b = i + c. What is b rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6*2\/(3 - 1). Let u be ((-54)\/(-4))\/(n\/(-16)). Let z = u - 30. Let w(m) = -7*m**2 - 2*m - 5. Let r(h) = 6*h**2 + 2*h + 4. Calculate z*r(l) + 5*w(l).\nAnswer: l**2 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 + 6 = 2*l. Suppose l = -7*g + 8. Which is the closest to 0? (a) 0.5 (b) -2\/23 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/92 and 8\/575.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 44 = -3*y, -y - 6*p + 4 = -10*p. Suppose 4*k + 4*t + 1 = -15, 12 = -3*k - t. What is the remainder when 3 + 16 - (k - -1) is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 - 1780*t**2 - 94705*t.\nAnswer: 5*t*(t - 403)*(t + 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -409.25275 to 1 dp.\nAnswer: -409.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2204235 and 1314.\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2177 to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/5 - 165068*p\/5 - 165058.\nAnswer: -2*(p + 5)*(p + 82529)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 117094?\nAnswer: 585470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69403281 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*y - 317 + 30 = d, -13796*y + d - 42 = -13791*y - 68 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (36\/32)\/(9\/(-60))*24\/(-30). Let m(a) = 1680*a**2 + 245*a. Let g(x) = -41*x**2 - 6*x. Calculate l*m(t) + 245*g(t).\nAnswer: 35*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.8 (b) -16 (c) 0.1 (d) -4 (e) 2\/7 (f) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand z - 34*z**4 + 37*z**4 - 5*z**3 + 0*z + (-4*z**3 + z**3 + 4*z**3)*(-z - z + 0*z) - 3*z - 2*z**4 + 3*z - 2*z**4 - z + z.\nAnswer: -3*z**4 - 5*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -5*f + 1. Let a be b(-3). Suppose -53 = -5*z - 2*s, 4*z - 2*s + a = 44. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 + -21.7. Let i = j + -0.7. Let u = 170 + -170.1. Sort i, u, 0.3 in ascending order.\nAnswer: u, 0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20224 + 139*m + 20224)*(-3 + 3 + 1)*(-2 - 1 + 2) in the form l*m + r and give l.\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of -a**3\/3 + 1. Suppose 5*y + 5 = 25. Let p(s) = 0 - 3*s**2 + y*s**2 + 0. Calculate l(p(u)).\nAnswer: -u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of 3*c**5\/10 + 65*c**4\/8 + 32*c**3 + 21*c**2 - 2122*c. What is a in d(a) = 0?\nAnswer: -14, -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*r + 409 - 709 = 0 for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g + 65 = 33. Suppose -296 = -g*q + 5*v, -v = 2*q + 11 - 283. Does 69 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 1 - -79 - (85 + -72)) + 3 + -11.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 30*a - 289. Let o(v) = 20*v - 192. Let l(f) = 8*o(f) - 5*w(f). Differentiate l(q) with respect to q.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25386, -25847, -26308, -26769?\nAnswer: -27230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 124*g**2 + 139*g + 1964. Give z(-123).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -238054, -476096, -714164, -952264, -1190402, -1428584, -1666816, -1905104?\nAnswer: -2143454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6775849555 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 8 = -3*h - 14, 0 = -h + 2. Let t = -58 + f. Let k = 91 + t. What is the lowest common multiple of k and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 11, a: 9}. Give prob of sequence pp.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-320)\/56 - -1 - (-1 + -4).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -112.874 and 22662?\nAnswer: 22774.874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = m + 16. Let f(a) = 20*a + 7. Let x be f(m). Let o be (-3)\/9 - 57\/x. Which is smaller: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15979683 times 3?\nAnswer: -47939049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/4, 2238, -1\/4?\nAnswer: 2238","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -383*c = -403*c + 140 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1016*x + 92*x**4 - 1016*x + (-x + x - 3*x**2)*(3*x - 2*x**2 - 3*x) - 3*x**4 + 3*x**4 - 5*x**4.\nAnswer: 93*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c43 (base 15) to base 7.\nAnswer: -23616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjjjjjj. Give prob of picking 4 j.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 15 = -2*g, 2*i = -11*g + 6*g + 9. Suppose -2*w = -w + 2*c - 4, 2*w = -c + 5. Solve -b + g*b = w for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zaufgfxzggxxfgg. Give prob of picking 1 x, 1 g, and 1 z.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -4*g - 1264, 14*t = 17*t - 3*g + 1299. Let s = -234 - t. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 464168 to the power of 1\/2, to the nearest integer?\nAnswer: 681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 20 + (-42)\/(-574)*-178?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-42)\/((-50)\/(-15) + -4). Suppose 5*v + 103 = 3*q, 5*q - 4*v = 100 + c. What are the prime factors of q?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6476245 (base 9) in base 8?\nAnswer: 15203622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**2 + 7*o + 6. Suppose x = 2*x - 16. Let t be (12\/8)\/((-6)\/x). Give z(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of 0*i**2 + 2\/3*i**3 + 50*i - 27\/4*i**4 + 58. Find the third derivative of x(v) wrt v.\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 5 + 19. Suppose -3*a + r = -28, 10 = 2*a - y*r + 3*r. Is 10 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n + 8. What is the units digit of g(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 287*a**3 - 73*a**3 - 142*a**3 - 199*a**3.\nAnswer: -127*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28196240?\nAnswer: 2, 5, 47, 7499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 2*g**2 - 1 - 2 in the form f + s*g**2 + h*g and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 5*d - 17 = 0, 153*g = 145*g - 5*d + 91 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2 - 386598*z - 12454834467.\nAnswer: -3*(z + 64433)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/7 (b) 4\/77 (c) 6\/5 (d) -1\/3 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(425) + 2 - (sqrt(612) + 1)*-5) + -5.\nAnswer: 2 + 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -741212 or -741218?\nAnswer: -741212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 989 a factor of 509026963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*p - 125*p + 8530 + 3030 for p.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 76 = -8*u. Let j = 119 + u. What is the highest common factor of j and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 3*r**2 + 4. Let y be v(-3). Suppose 9 = c + 5*o, y*c - 4*o - 16 = -c. Suppose -14 = -c*k + 54. Calculate the remainder when k is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (3 - (-4 + 1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a**2 + 3*a. Let h = 1 + -6. Let j be w(h). Suppose -y + 4*y = j. What is the smallest common multiple of 22 and y?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 4*b - 27. Suppose -59*j + 45*j + 126 = 0. What is the greatest common divisor of b and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -23, -44, -65?\n\"Answer: -21*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.097 + 16.097. Put -0.3, 3, x in descending order.\nAnswer: x, 3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -136310, -4, -1\/3?\nAnswer: -136310","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 938160.1 rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65463 is divided by 3890.\nAnswer: 3223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1711698 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -22. Is -2*-14*3\/p a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27.56, 10, -0.1 in decreasing order.\nAnswer: 27.56, 10, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 + 5*h - 4. Let r be a(3). Let l = -1.1 - -0.1. Suppose -n - 4 = 3*n + 4*z, 37 = 3*n - 5*z. What is the nearest to l in n, -5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24.946 - 0.054. Let r = -25.3 - s. Sort 3\/5, r, 3 in ascending order.\nAnswer: r, 3\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2 = 1, -5*p + 3*q = -9. Suppose p = 7*m + 6 + 1. Put -2, m, -5, 3 in decreasing order.\nAnswer: 3, m, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3862058 divided by 18047\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 15 = -6*j. Suppose -4*d - 4*q = -88, 24 = -j*d + 4*d + 2*q. Suppose -12 = -4*b + d. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4*f + 4 - 2)*(-2 + 4 - 3).\nAnswer: 4*f - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*m**2 - 4*m**2 + 38*m - 38*m + 4*m**2.\nAnswer: -14*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -176*g**4 + 48*g**3 + 19516*g wrt g.\nAnswer: -2112*g**2 + 288*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2874.7 rounded to the nearest one hundred?\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 548994 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 12*z**5 - 31*z**4 + z**3 + 44*z**2 - 2*z - 8. Let a(y) = y**5 - y**2 + y. Let q(g) = -6*a(g) + 3*p(g). Let q(w) = 0. Calculate w.\nAnswer: -1, -2\/5, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -40*l**2 - 595*l - 3337. Let f(r) = 14*r**2 + 198*r + 1110. Let z(c) = -6*d(c) - 17*f(c). Find p, given that z(p) = 0.\nAnswer: -96, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -m + 12, 5*m - 2*l - 21 = 15. Solve -v = -m*v + 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**4\/7 + 2076*x**3\/7 - 200880*x**2\/7 = 0. Calculate x.\nAnswer: 0, 108, 930","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -23*b + 1156. What is f(49)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyyyyyyyyyysyyy. Give prob of picking 2 y.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29136913 and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3*q**2 - 16 + 70045757*q - 70045752*q + 13. Let k(z) = 1 + z**2 - 2*z**2 - 2*z + 0*z**2. Suppose f + 2*f - 24 = 0. Calculate f*k(w) + 3*y(w).\nAnswer: w**2 - w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 52103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9900 - 7944. Calculate the lowest common multiple of m and 18.\nAnswer: 5868","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2296791619 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 639*z - 20 + 6 + 5 + 16 to the form k*z + x and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -193 + 196. Suppose 10 = 2*f + i*s, -6 = -3*f - 2*s + 4. Solve -5*b = -3*d - 4, -f*d = 3*d + 2*b + 17 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2 + (sqrt(396) - (sqrt(396) + sqrt(396) + -2 + -1)**2)) + (sqrt(396) + (-1 + -3 + sqrt(396))**2 - (-2*sqrt(396) + -5 + sqrt(396))).\nAnswer: -2773 + 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2730?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 342402 a multiple of 601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 97976 a multiple of 271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + (-3)\/3*1. Suppose x*u + 5*d = 39 - 6, -u - 2*d + 14 = 0. Suppose -r = -3*r + 4. Calculate the lowest common multiple of r and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41584*l**5 + 3*l**4 - 7 - 42059*l**5 - 710*l + 3 wrt l?\nAnswer: -9500*l**3 + 36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 103*f**3 - 371843*f**2 + 371843*f**2.\nAnswer: -103*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18.213067704 + -18.213. Round o to seven decimal places.\nAnswer: 0.0000677","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k**4 - k**2 + k**4 - 2*k + 2 - 3*k + 0*k in the form f + j*k**4 + q*k**3 + l*k + t*k**2 and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 15, -d - 2*a = d - 14. Solve 0 = -d*g - 4 - 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -120*q - 3. Let b be 2*((-1)\/5 - (-39)\/(-130)). What are the prime factors of m(b)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*u**4\/9 + 28*u**3\/3 - 92*u**2\/3 + 284*u\/9 - 32\/3 = 0. What is u?\nAnswer: -24, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 4*i + 10 = 6*i, -2*i = c - 10 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*(p*p**(2\/7))\/p)**(-12)\/(p\/p**(-4))**28 assuming p is positive.\nAnswer: p**(-1172\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/98*1*(-20216)\/(-36822)*(-45)\/60.\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a minute in milliseconds?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -663*s + 659*s - 0*g - 44, -12*s - 5*g = 64 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 1:59 PM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 9:00 AM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14333 and 19349?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 865\/1146 greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 446*n - 445*n - 7 - 3 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.131? (a) 2\/17 (b) -2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f - f + 2*f)*((0 + 1 + 1)*(-2 + 0 + 1) + 5 + 16 - 3 + 2 + 1 - 4) - 6*f - f + 5*f in the form w + b*f and give b.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 11. Let f = -10.6 + b. Let d = f + -2.39. What is d rounded to 1 decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6672440251 to the power of 1\/10, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssflssgsgfsgmfgs. Give prob of picking 1 g and 1 m.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((286068\/(-14632))\/(-769))\/((-2)\/4*1)?\nAnswer: -3\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 156 and 1950.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h - 18 - 2 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -18054 divided by 6\nAnswer: -3009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 333698*t - 326033 wrt t?\nAnswer: 333698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/(-15) + (-2569)\/13440 and 61\/10.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 646746*f**2 - 8*f + 7. Let b be c(6). Let x be -30*((-2)\/10)\/(14\/88393235). Let k = b - x. What is k rounded to the nearest 1000000?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/4)\/(234\/(-48)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3 + (4 + ((sqrt(108)*-3)**2 - sqrt(108)))*-6*4*-3.\nAnswer: -432*sqrt(3) + 70274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 14. Let z be l(5). What is the highest common factor of 88 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -12, 1, -5, 3 in decreasing order.\nAnswer: 3, 1, -2, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -28427280 divided by 10?\nAnswer: -2842728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/5 (b) 0.2 (c) 21 (d) -3 (e) 1\/4 (f) 0.276\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 4*m - 2*u, 5*m + u - 3 - 7 = 0. Suppose -m*j - 7 + 4 = -4*y, 2*y + j = -1. Suppose y = b + 3*b - 28. Solve 0 = 4*k - 5*k - 1, 2*v - 3*k = -b for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*l*l*(l\/(l**(1\/3)*l))\/l)\/l)**(-30)*(l**(2\/5)\/l)**(2\/19))**(-12))**44 assuming l is positive.\nAnswer: l**(1006368\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 187 = -3*c + 77, o = 3*c - 98. Is -84 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 1\/2, 1\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2150 - 1227. Calculate the greatest common divisor of 71 and a.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 17 = 3*g - 128, -2*f = 3*g - 126. Let y be (152\/34)\/(5325\/g). Let l = 2\/355 + y. Which is bigger: l or 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 152*m - 4090. Give w(27).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173*x - 503906 = 58525 + 2966769. List the prime factors of x.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = 4*l - 13. What is the common denominator of 43\/18 + l\/18 and -11\/46?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 5:37 AM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15912*m**3 + 14993?\nAnswer: -47736*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4 = -0. Find the second derivative of -2*d - 3*d**2 - 13*d - p*d wrt d.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 844788.6 litres?\nAnswer: 844788600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7053533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 95332 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + -1. Let b be 5\/l*(-104)\/20. Let c = 9 - b. Which is greater: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90609527 to the power of 1\/2, to the nearest integer?\nAnswer: 9519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3 - 9092*m**2 + 18190*m - 9096.\nAnswer: -2*(m - 1)**2*(m + 4548)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/11, -1\/5, -0.009, -2?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33843 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ho when two letters picked without replacement from {o: 8, t: 7, h: 3}?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + 0. Suppose 0 = d*w - 63 + 18. What is the derivative of -1 + w*q - 18*q + 5 + 7*q wrt q?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3815067050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -9. Let v = -6.9 - q. Let s = -0.1 + v. Which is the biggest value? (a) -3\/4 (b) 1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 47, -261, -1051, -2563, -5037, -8713, -13831?\n\"Answer: -40*x**3 - x**2 - 25*x + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 30 = 3*q, -o - 5*q + 20 = 6. Suppose -52086 = -215*p - 164*p - 11912. Calculate the remainder when p is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -1dea6cb?\nAnswer: 1dea6c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/3852 and -73\/7704.\nAnswer: 7704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 95, 338, 737, 1292?\nAnswer: 2003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -3*q + 42. Solve -4*w + f = -3*f - q, -3*f - 13 = 2*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 5*n**3 + 7*n**2 + n - 1. Let u be p(4). Suppose u + 1413 = 8*w. Suppose 3*f = -4*c + 196, -5*f - 49 = -5*c + w. Is c a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 17276, 17262, 17248?\n\"Answer: -14*f + 17290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*o + o + o)*(3 + 2*o - 3) + (-2*o - 3 + 3)*(0 - 2*o + 0) + 0*o**2 - o**2 + 0*o**2 + 5 - 5 + o**2 as d*o**2 + t*o + f and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-2))\/(1\/10). Let v = -477 + 479. Which is the smallest value? (a) p (b) v (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 1 = c - 4*c, -c + 3*y = -18. What is the nearest to 1 in 5, -1\/3, c?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 3 = 5*h + 4*j, 3*h - 2*j + 15 = 0. Let l = -22 - -15. Let n = l - h. Sort n, 0, 3 in decreasing order.\nAnswer: 3, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -5 - (2 - -15) - -4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d + 453 + 469 + 456 - 775 - 603.\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((2*sqrt(117))\/sqrt(9))**2 + -4*sqrt(130)\/(sqrt(10)*1).\nAnswer: -208 - 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14665459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, m: 1, p: 1, u: 2, v: 1}. What is prob of sequence uvb?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7831642 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2033 is divided by 1720?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46 - -45. Let w be -3 + (-36)\/(-20) - p. Let r = 0.2 + 0.8. What is the nearest to 1 in -2\/13, r, w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b88d4 (base 16) to base 5.\nAnswer: 143142144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-126)*7*8\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + q - q)*(-1 + 8*q + 1 + (2 - 1 + 0)*(q - q - 2*q)).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10*180\/200 - (3 + -3). Solve 61 = -c*n + 70 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 335529 is divided by 562?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 540\/(27180\/151)*(72\/(-3))\/(-3).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 3, j: 5, o: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6212631 is divided by 3106309?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.6658135 months in decades?\nAnswer: 0.0222151125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3\/4 + 4119*l**2\/2 + 5487027*l\/4 - 58213470.\nAnswer: 3*(l - 40)*(l + 1393)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 10*j**2 + 7*j - 1924. What is u(0)?\nAnswer: -1924","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49291 - 13254. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w + 10*i - 60, -4*w + 30*i + 62 = 36*i for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 126363, 253339, 380315, 507291, 634267?\n\"Answer: 126976*b - 613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3*h + 12 = 0, h + 7 - 2 = 2*o. Suppose 3*k - j - 124 = 2*k, -5*j = o*k - 372. What is the units digit of (k*(-2)\/(-32))\/((-1)\/(-20))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, p: 2, w: 3, f: 9, l: 3}. Give prob of picking 1 l, 1 o, and 2 p.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1290965105?\nAnswer: 5, 439, 701, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10354*b**3*i + 268*b**3 + 22*b**2 + 55919*i wrt b.\nAnswer: 62124*i + 1608","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Is 43394891 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - j - 1. Suppose 25*a + 60 = 23*a. Let c(k) be the first derivative of -2*k**3 + 5*k**2\/2 + 5*k + 2321. What is a*h(b) - 6*c(b)?\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 9*w = -50. Suppose w*y = 9*y - 112. Let g be 12*(12\/y + (-15)\/(-14)). Solve -4*j + 3*m - 21 = 0, -4*j - m = -3*m + g for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -607 - 2*k - k + 6*k + 50.\nAnswer: 3*k - 557","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(6\/7))**(-50)*(w**(-8\/3)*w)**(1\/66))**(-1\/45) assuming w is positive.\nAnswer: w**(11887\/12474)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -t + 43. Let h be (-2)\/5 - (-1463)\/t. Let m(i) = i**2 - 13*i + 7. What is the units digit of m(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8519*k**2 + 7289*k.\nAnswer: -17038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 123, 220, 301, 360, 391?\n\"Answer: -m**3 - 2*m**2 + 110*m + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 38.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 12*j**2 - j - 5. Give l(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -42*q**2 - 27. Let z(y) = -6*y**2 - 4. Let l(m) = 4*g(m) - 27*z(m). Let o(v) = v + 6. Let t be o(-4). Let x(a) = 9 - t*a - 9. Give l(x(c)).\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 12389340 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 5988*c - 410. Is x(3) a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1114 - 53433?\nAnswer: -54551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101001111 + -101?\nAnswer: 101001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, p: 3, a: 1, s: 2}. What is prob of sequence sp?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.163 and 26.\nAnswer: 26.163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -8274, -33211, -74984, -133767, -209734, -303059, -413916, -542479?\n\"Answer: -29*l**3 - 8244*l**2 - 2*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4121 (base 6) in base 11?\nAnswer: -760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*u + 12. Let h be 20\/u + (-4)\/(-22). Suppose -216 = -h*o - 2*o. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.3081 - 0.8081. What is the nearest to -4 in f, 42, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1284351 divided by 1284351?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1644751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(12 - 1848\/156)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 5*x**3 - 10*x**3 + 184 + 3*x**2 - 184 + 7*x**3. Give l(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2 = -s, -2*s + s + 2 = 5*p. Suppose b = s*b. Suppose i - 59 = -3*k, i - 4*k + 1 - 25 = b. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -42, -63, -84?\n\"Answer: -21*l - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4*d + 4. Let m be o(0). Let y be (2 + (-2 - -2))\/(m\/32). Let u = y + 23. Calculate the remainder when 115 is divided by u.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2 + 15348*m - 58890276.\nAnswer: -(m - 7674)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-21)\/15 + (-3692)\/(-130). Solve -3*w + 4*g = x, 24*g - 23*g = w + 8 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 9:24 AM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 3*t**3 - 4257*t**2 + 4254*t = 0.\nAnswer: 0, 1, 1418","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 1)*(-31 + 31 + 7*o).\nAnswer: -21*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 24\/10235905 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 816403481 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1619 - 1041. Let c = -321 + r. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1675 + 9755 = -247*t - 3866 - 1145 for t.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 16) to base 14\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0717, 1, 0.2, 1\/855 in descending order.\nAnswer: 1, 0.2, 1\/855, -0.0717","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1779132 milligrams to nanograms.\nAnswer: 177913.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/2 and 19\/61.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -3*a + 4. Suppose 0*q - 3*q - 6 = 2*x, 0 = 2*q + a*x + 6. Suppose -3*f - y + 14 = q, f = 2*y - 4*y - 2. Is f 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 3:15 PM and 4:15 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of -s**8\/420 - s**7\/210 + s**6\/90 + s**5\/30 - 5*s**3\/6 - 3*s. Let q(k) be the second derivative of x(k). Factor q(o).\nAnswer: -4*o*(o - 1)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 7) to base 15\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -8. Let t = 6 - l. Suppose -h - 3*h + 2588 = t. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 7*l - 7. Let r be g(8). Let v = 1.3 - 0.1. Let s = 1 - v. Is r bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 2\/125 of a milligram?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f**3 + 19*f**2 + 13*f - 27. Let u be c(10). What are the prime factors of (-43 + 0)\/(6\/(-342)*u)?\nAnswer: 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -187 + 191. Solve d - 16 = 4*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**2 + l - 6. Let x be i(-8). Is (-5 - -6)\/(1 + x\/(-116)) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (132\/(-77))\/((-4)\/14). Suppose 2 = -2*n + p. Determine g so that -4 - 4*g**n - g**2 - 40*g - 66 - 10 = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of q**4\/24 + q**3\/3 - 40*q**2. Let s be o(1). Solve 0*k + u = k + 6, -2*k = 3*u - s for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25.7 + -25. Is -0.2 < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {k: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*i + 344528 = -127678. Let m = i + -3526. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3910\/38 + -3 - 34\/(-323) is divided by 19?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -26 and -23 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**5\/4 + 6545*v**4\/2 + 1222239*v**3\/4 + 3996531*v**2\/2 + 1695978*v = 0. What is v?\nAnswer: -12996, -87, -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - 23 - (-27 + -9 + 18 + -1 + -11)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of c**5\/20 - c**4\/3 + c**3\/3 - 3*c**2 - 3*c. Let k be z(4). Let o(b) = 2 + k + 2*b - 4. Let i(j) = 2*j. What is i(o(s))?\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -s + 6, 4*s - 5*i - 109 = -2*i. Is s a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 69.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1144 and 3074080.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -9, -2\/19, 1\/5, -0.2, -20, 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(208))**2 - sqrt(208)) + -1 + 4 + -3*sqrt(208) + 3 + 4.\nAnswer: -24*sqrt(13) + 219","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*w**3 - 1519\/4 - 385\/4*w - 17\/4*w**2.\nAnswer: (w - 31)*(w + 7)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 264 = 5*w - 4*p, -2*w = -3*w + 2*w + 3*w + p - 207 for w.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from riiiirrrrrrirrrrrr. Give prob of sequence iir.\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 285.33474 months?\nAnswer: 0.023777895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - 4*k + 6*k)*(-2*k + 0*k + 0*k) - 3 - 61*k**2 + 1 + 53*k**2.\nAnswer: -10*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of 7*d**6\/10 + 8*d**5\/3 + 17*d**4\/6 - 4*d**3\/3 - 39*d**2\/2 + d - 59. Let b(g) be the second derivative of u(g). Factor b(c).\nAnswer: 4*(c + 1)**2*(21*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -3\/5 (b) 2\/5 (c) 1 (d) 6 (e) -1\/2 (f) 0.088034\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 803 = -6*f - 5*f. Let y = -15 - f. Suppose -4*l + 77 = -m, 3*l - y = -0*l + m. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/23 in 0.01, 0.0102, -2, -24, -0.5?\nAnswer: 0.0102","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3*q**3 - q. Let w be x(-1). Let u = w - -1. Suppose 0 = h + 5*z - 27, 0 = 6*h - u*h + 4*z - 23. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001000001111000010 - 1000100?\nAnswer: 1001000001101111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mdlmdb. Give prob of sequence bl.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 3*u + 85 = 0, -57 - 3 = -2*d + 4*u. Let j = d + -18. Suppose -2*n = -3*x + 26, j*x + 2*x - 48 = -4*n. Does 2 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 2304324?\nAnswer: 2304314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) 2\/11 (c) -4\/53 (d) -2 (e) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 42*h. Let a(f) = -1130*f. Let p(q) = -3*a(q) - 80*d(q). Let x(c) = 3 + 4*c - 5*c - 3. What is x(p(i))?\nAnswer: -30*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**2 + h - h + (3*h + h - 2*h)*(1 + 2*h - 1) - 2*h**2 + 0 + 0 - 2*h**2 + 4*h**2 + 2*h**2.\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**2 + o + 3. Let d(c) = -3*c**2 + c + 4. Let l(t) = -7*a(t) + 5*d(t). Calculate l(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 1 = -2*c - 24, 19 = r - 4*c for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 434 - -2?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -312 + 307 + -24 + 0 + 1 - 10?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -226 - 34. Let m = -228 + 236. Calculate the greatest common divisor of m and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8079*a = 2*g + 8072*a + 91, -2*g - 3*a - 81 = 0 for g.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.938 rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -4*q**3 + 35*q**2 - 3*q + 8. Let s(f) = -4*f**3 + 37*f**2 - 3*f + 9. Calculate -10*r(o) + 9*s(o).\nAnswer: 4*o**3 - 17*o**2 + 3*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -s + 6*s. Let n = s + 2. Let y = n - -7. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 445 + 7. Suppose -d = -3*q - 5*d + j, -3*q + 455 = d. Is q a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-27)\/(-2) + 2)*30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 631*y**2 + 20*y**3 - 1262*y**2 + 631*y**2.\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eyzdoffoyeef. What is prob of sequence zoe?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 1 = 5*x, -2*v + 5*x + 4 = -5. Let p = 8 - 8. Factor q + p*q - v*q**2 + q**2.\nAnswer: -q*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 e when two letters picked without replacement from {z: 3, e: 3, m: 1}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - (1 - 2)*-1. Let b(j) = -2*j**3 - 4*j**2 + 2*j + 2. Let o be b(i). Let y = -12 - -19. What is the greatest common factor of y and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/22, -4816, 3, 5 in ascending order.\nAnswer: -4816, 3\/22, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11142 - 2?\nAnswer: 11140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29312 and 6272.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*t = -23*t + 435 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1798 - c + 664 + 2530)*(2 + 2 - 2) + 2*c + 2*c - 3*c in the form r + y*c and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 647772247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 109539785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1400 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*j**2 + 11 + 25 - 22 wrt j.\nAnswer: -6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-9)\/(q*q*q\/q**(-19)*q))**(-35) assuming q is positive.\nAnswer: q**1120","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -9501, -37993, -85481, -151965, -237445, -341921?\n\"Answer: -9498*m**2 + 2*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 u when two letters picked without replacement from fffulfllfcufjcccjuur.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*l = 165*l - 21 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 58327 divided by 13?\nAnswer: 58327\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3154*z**3 + 1483*z**3 + 1566*z**3 - 2 + 2 - 19*z.\nAnswer: -105*z**3 - 19*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lt when two letters picked without replacement from slllllssltlllltlll.\nAnswer: 13\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 1)*2\/(-4). Let c = 0.21 + -0.71. Let g = -7 - -12. What is the third smallest value in g, c, h?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/3*m + 1\/3*m**2 + 7\/3.\nAnswer: (m - 7)*(m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 2777*u - 16 = -2782*u, 0 = -2*z + 3*u + 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of 25*b**4\/24 + b**3\/3 - 214*b**2. Let l be q(0). Solve 0 = -4*h + l*h - 10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -8d7?\nAnswer: 8d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, f: 2, v: 2, u: 1, z: 1}. What is prob of sequence zvv?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/sqrt(3)*-6 - (sqrt(132)*1)\/sqrt(12) - (-2 + -3 + sqrt(11) + -3).\nAnswer: -8*sqrt(11) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*b + 10*b + 6*b - 148 + 2*b**2.\nAnswer: 2*b**2 - 148","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25465.03 + -26.4708.\nAnswer: -25491.5008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 74386183 a multiple of 341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 26062637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**2 - 12552*w - 4320652 = 0. Calculate w.\nAnswer: -313, 3451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*i**3 + 4*i**2 + 5062*i + 5409 wrt i?\nAnswer: 6*i**2 + 8*i + 5062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence laia when four letters picked without replacement from ialllaaaaii.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4*d - 2*d + 5)*(-121 - 212 + 86) in the form n*d + b and give n.\nAnswer: -494","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 65 = 4*z. Suppose -16*g = -5*g - z. What is the highest common factor of 14 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + 2*(1 - 10). Suppose -34*l + 38*l - 32 = 0. Suppose l*r = 2*r - 84. Is r greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 18*r + 37. Let f be a(-16). What is the second derivative of 20*s + 67*s**5 + 21*s**5 - 11*s**f + 165*s wrt s?\nAnswer: 1540*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3472 smaller than 56\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -25\/2*h**2 - 42 - 5\/3*h**3 + 30*h. Suppose v(u) = 0. Calculate u.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -424641.677 rounded to the nearest ten thousand?\nAnswer: -420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 230080.7ml?\nAnswer: 230.0807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 2. Let f(k) be the third derivative of k**5\/60 + 5*k**4\/24 + 2*k**3\/3 - k**2. Is 8 a factor of f(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 280 and 245.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5431.419 rounded to the nearest ten?\nAnswer: 5430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 27645879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 439 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 1 + 17 - (-4 + -4 - -49)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 22*i**3 + 2*i**2 + i. Let m = 39 + 163. Let j = m + -203. Give w(j).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3344111 - ((-11)\/5 - (-85)\/425) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 385 + -388. Which is the nearest to 1? (a) -16 (b) -2 (c) g (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -16. Let g(m) = 2*m - 10. What is the units digit of g(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - -3)*2\/5. Solve -21 = -2*b + 7*b - x*l, -l - 12 = 5*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 2*i - 115. What are the prime factors of (-3 - i\/(-2))*4?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3986920 rounded to the nearest 10000?\nAnswer: 3990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 364550991.\nAnswer: 3, 7, 71, 139, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143*x - 12*x**2 - 49*x - 52*x - 42*x + 14*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10699.39 and 4.\nAnswer: -42797.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -2\/3, 3\/16, -0.5?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2*q = -8. What is the units digit of (5 + q)\/(1\/2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - -2 - (-3 - -1)*1. Suppose 0 - b = -v. Suppose q + q = v*a + 250, 2*q - 4*a = 250. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -5. Suppose 5*j - 105 = i*s, -5*s = -0*j + j - 48. Suppose 3*p - j = 19. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -7. Suppose v*t - 5 = 51. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -22*u**4 + 55800*u**3 - 131806*u**2 + 96300*u - 20272 = 0. What is u?\nAnswer: 4\/11, 1, 2534","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 1. Let v(z) = z + 2. Let d = -1 + 3. Let x(w) = d*v(w) - 4*k(w). Let g(m) = -5*m. Let q(f) = f. Let a(u) = -2*g(u) - 14*q(u). Determine x(a(h)).\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-9)\/2)\/(-1) + -1*(-24)\/(-48). Solve 0 = s - 4*g + 3 + 15, -5*g + 33 = z*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -860 and 79661.8.\nAnswer: 78801.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 6:33 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1861 (base 15) in base 13?\nAnswer: 2521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvxvxxxvvxxx. Give prob of sequence xx.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5124.13 + -5124. What is the closest to -2 in -0.3, t, -2\/17?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424524 (base 6) in base 11?\nAnswer: 24127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12802466 to the power of 1\/2, to the nearest integer?\nAnswer: 3578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of t**4\/12 - 37*t**3\/6 - 31*t**2\/2 + 61*t. Let k(n) = 12*n + 10. Let z(l) = 4*f(l) + 14*k(l). Factor z(x).\nAnswer: 4*(x + 1)*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-2)\/5 + 40\/(-25) - -16 and ((-24)\/20)\/((-6)\/20)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 10*u**2 + 6*u - 10. Give l(-7).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/4)\/((-8)\/(-32)). Let n(z) = -z**2 + 3*z + 4. Let y be n(d). Sort 1, y, -2.\nAnswer: -2, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7725 and 255.\nAnswer: 131325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 277055696\nAnswer: 1108222784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n + 15219 = 24*n. Calculate the highest common divisor of 19 and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/2 + 13\/(-26). Suppose 5*z - 6 = 4*z. Solve -y + 4*y = -3*b + z, 0 = p*y + 5*b - 1 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9697*z**3 + 2792*z - 1.\nAnswer: 58182*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*m = -103*m + 3760. Is m at most 45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1397, 1368, 1291, 1142, 897?\n\"Answer: -4*v**3 - v + 1402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 20 - 7)*(-2*a - a**2 + 2*a) - 2*a**2 + 6*a - 6*a.\nAnswer: 35*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -20*c + 6. Let k = 40 - 43. Let r be ((-704)\/110)\/((-4)\/10)*1. Let p(z) = -4*z + 1. Calculate k*w(h) + r*p(h).\nAnswer: -4*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -417*w = -212 - 3154 + 447 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u*(u*u\/(u\/(u*u**(1\/5)\/u*u)))\/u)\/u)*u)\/u*u**(2\/17)\/u*u*u)**(-28)*(u**(-1)\/(u\/u**(-8)))\/((u*u**(-2))\/u)**(-2\/39) assuming u is positive.\nAnswer: u**(-118666\/3315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 125\/15 + 1 + (-5)\/(-3). Suppose -13 - v = -2*n + 4*o, -4*o = -5*n + 48. Which is smaller: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*4\/(-70) + (-224)\/35 + 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/224*5964\/18.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 b when three letters picked without replacement from {o: 6, b: 3, t: 7}.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-42) - ((-26)\/14)\/(-1). Suppose -3*y - 1 = -4. Sort y, o, -3 in decreasing order.\nAnswer: y, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = c - 2*c - v, -5*v = 10. Let z(k) = -k. Let f be z(0). What is the units digit of c + (-18 + f)\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 + -27.9. Which is the nearest to 1? (a) h (b) 2\/13 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f - 7. Let z be o(6). Suppose 3*m = -0*i + i - 27, -5*i - z*m + 95 = 0. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.1029 * 0.1\nAnswer: 0.21029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -608*g**2 - 16 + 16 + 1448*g**2 - 607*g**2.\nAnswer: 233*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of 3*s - 1\/2*s**2 + 0. Let n(t) = 2*t**2 + 2*t - 4. Determine -n(k) + 3*p(k).\nAnswer: -2*k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -17, 2\/11, -1\/8, -0.17?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.244 + -0.926. Let q = -5.87 - h. Let k = 5 + q. What is the second smallest value in k, -0.5, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 8:01 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-53)\/(-3)*(-57)\/(-76) and -38\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 60 - 42. Suppose -k = -2*z - 0. Suppose z*b - 44 = 5*b. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + k + 21. Suppose 0 = 3*r - 6, -3*z + 2*r - 2 = 2. Suppose z = -5*u + j + 6 - 1, 5*u + 5 = -j. What is the units digit of i(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 487309?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 142405154 - 3?\nAnswer: 142405151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 9 = -4*h - 5*d, -h = -4*d - 9 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220)*-2)\/(2*sqrt(704) - sqrt(704)))**2 + ((5*sqrt(1125))\/(2*sqrt(900)))**2.\nAnswer: 145\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xh when two letters picked without replacement from pihixsg?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jbp when three letters picked without replacement from {q: 4, j: 2, b: 1, p: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.7 - 3. Let j = -1.7 - n. What is the nearest to 1 in -0.3, 24, j?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-120)*-110 + (76\/(-10) - 3)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 5. Suppose m = 3*c - 0*c - 174. Let j be 2\/9 + c\/(-18). Is -2 >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (4*sqrt(192))**2)*6 + -3 + 5.\nAnswer: 18410","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 4*z = 14, -4*k = -z - 19 - 1. Let b be (k\/(-8))\/(7\/56). Let c = -5 - b. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 n, 1 c, and 1 a when four letters picked without replacement from azcnznnbccvczvcvcc?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 4*q - 26 = 0. Let w = q - -51. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffdfdfdfdf. What is prob of picking 4 d?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 + 38. Let j be (-24)\/16 - (1 + -3). Which is the closest to j? (a) 1 (b) l (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -553 - 2?\nAnswer: -555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 27*l**2\/2 + l - 52. What is i(-1)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**2. Let m(k) = -k**2 + 185. What is d(m(v))?\nAnswer: 2*v**4 - 740*v**2 + 68450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -253*n. Let f(b) be the third derivative of -b**5\/20 + 1594*b**2. Determine f(v(q)).\nAnswer: -192027*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.811144 tonnes to grams.\nAnswer: 7811144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -3321*k**2 - 14*k**4 - 50*k**4 - 6 - 74*k + 3021*k**2 + k - 432*k**3 = 0.\nAnswer: -6, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 111 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/9 and 49\/62?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 4*z + 15. Let i(k) = -k**3 + 20*k**2 - k + 16. Let u be i(20). Sort 4, z, u in ascending order.\nAnswer: u, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 1049 = -2*d + 427, -d + 145 = z. What is the smallest common multiple of 1216 and z?\nAnswer: 1216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 50*b**2 - 3814*b - 2701. Determine f(77).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22344*g**3*r**5 + g**3*r - 2916042*g**2*r - 18*g*r**5 wrt r.\nAnswer: -446880*g**3*r**3 - 360*g*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*(0 + (-4)\/(-3)). Let g(t) = -4*t**2 - t. Let n be g(-1). Put 3, k, n in increasing order.\nAnswer: n, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(26\/(-4)) - 0. Let g = 24\/31 - 154\/279. Which is the smallest value? (a) u (b) g (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 385\/10*(-2 - (-54)\/21). Let p(v) = 5*v**2 - 2*v + 16 - 6*v**2 + 8*v - g. Give p(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 4*y**2 - 61*y + 324. Let b(m) = -m**2 + 15*m - 81. Suppose -77 - 11 = 4*s. Let v(r) = s*b(r) - 6*j(r). Determine i so that v(i) = 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/6 (b) -3 (c) -42 (d) 78 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*(-4)\/(-8)*-3. Sort 0, -1, b, 2 in increasing order.\nAnswer: b, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.57, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + (-5)\/3)*(-9)\/(-1). Suppose -r = 3*c + c - 6, -2*r + q*c + 67 = 0. Is r a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -2. Let u = 1.9 + 2.1. Suppose -45*k = 36*k + 184 - 22. Which is the nearest to k? (a) m (b) -3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, 0.1035, -4\/13, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.04 - -0.02. Suppose 2*q - 6 + 0 = 0. Put 0, q, z in ascending order.\nAnswer: z, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*g + 43364 = -148916. Is g a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 362 + -156. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3337276090 to the nearest integer?\nAnswer: 1494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 22, -5, -1, 4, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of -b**5\/15 - 10*b**4\/3 - 38*b**3\/3 - 79*b**2. Find x, given that f(x) = 0.\nAnswer: -19, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69596 = 4*o + 5*j, -17399 = -o - j + 5*j. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*k + 4. Let a = 2 + k. Solve 4*i + 0*i + 5*b = 4, -i - 3*b + a = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 7:31 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (34\/8)\/(2\/8). Suppose -2*w = -0*w - 102. Calculate the highest common factor of o and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away -2919141071.43?\nAnswer: 2919141071.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 42 = -5 - 25. Sort 0, -1, -75, y, -5 in descending order.\nAnswer: y, 0, -1, -5, -75","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24.68 - 15.68. Let x be (-51)\/105 - (-2)\/7. What is the fourth biggest value in -3, x, -2\/9, m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(176)*-5)**2 - (-3 + sqrt(99)\/sqrt(225)).\nAnswer: -sqrt(11)\/5 + 4403","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (6 - (11 + 1))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 432 <= 430?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 4, 3*j - 3*w + 2*w - 158 = 0. Is 23 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 25 - 81. Suppose t*b - 2*b = 78. Put -63, -2, b in decreasing order.\nAnswer: b, -2, -63","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82264038.\nAnswer: 2, 3, 13710673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -10, 1\/2, 8, -4?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 120 + -124.9. Let j = s - -5. What is the nearest to j in -1, -5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/612 - -1217\/4284. Sort c, -1, 0.132.\nAnswer: -1, 0.132, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -3. Solve 4 + p = -v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31114.\nAnswer: 2, 47, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 2. Let z(i) = -i**v - 2 + 2. Let w(p) be the third derivative of p**4\/24 + p**2. Calculate z(w(c)).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 + 13 - 30)*(28 - 11 - 18)*((n**4 - 2*n**4 - n**4)*(2*n - 5 + 5) + 0*n + n**5 + 0*n).\nAnswer: -123*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2033586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 518123.\nAnswer: 518123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from jfynjffnynn.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 258258 and 5826821.\nAnswer: 1503319818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 30332 (base 8) in base 7?\nAnswer: 51314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-6 - 0) - 1\/(50 + 15747\/(-315))?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 125, 10 in ascending order.\nAnswer: -2, 3, 10, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 13*v**3 + 912*v**2 + 158*v + 545. Calculate q(-70).\nAnswer: -715","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 4*r - 100, -2*b = r + r - 50. Suppose -29*o + r*o + 12 = 0. Suppose f - n + o = 0, -n - 2 + 5 = 4*f. Solve 2*z = -f*z - 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 27439425 divided by 1\nAnswer: 27439425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2385805?\nAnswer: 5, 379, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 89 and 107 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + v**2 - 1. Let n be x(-1). Let f = 4 + n. Let z = 4601 - 4596. Solve -10 = -z*y + f*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 354476.5 + -342.9.\nAnswer: 354133.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a meter in centimeters?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -659*v**2 + 13 - 641*v**2 + 1375*v**2.\nAnswer: 75*v**2 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = d - 2*q, 3 + 2 = d + q. Suppose d*p - 1 = 3. What is the third derivative of -o**2 + p*o**2 - 2*o**5 + 0*o**2 - o**5 wrt o?\nAnswer: -180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -389 + -32581?\nAnswer: -32970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/4 and (1132\/8 - 5)\/6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(25)\/sqrt(5) + sqrt(5)) + sqrt(84)\/sqrt(3) - 1*(-3 + sqrt(448)).\nAnswer: -11*sqrt(7)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/32)\/(5\/(-2)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3697\/7 + -528. Sort r, -1, -1\/3, 1, -0.05 in ascending order.\nAnswer: -1, -1\/3, -0.05, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**9\/(h\/(h\/(h*h*((h*h*((h**20\/h)\/h)\/h)\/h)\/h))) assuming h is positive.\nAnswer: h**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 0.1, -1\/43, -5, -12?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a week in hours?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 4:29 PM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**3 + 7103*j**2 + 14209*j + 7105 = 0. What is j?\nAnswer: -1, 7105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24559 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((10 - 24) + -2)*4403\/(-1036)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4310 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*v**2 + 17*v**2 + 6*v**2)*(31 + v - 18 - 12)*(1 - 1 + 2*v)*(-1 + 2*v + 1).\nAnswer: 60*v**5 + 60*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*m + 7 = 32*m + 3*o, -5*m + 5*o = -15. Solve 3*j - 5 = 2*d, -4*j - 11 - 9 = m*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 68 + -293bcc?\nAnswer: -293b64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 48417 = -3*n - 48332, -5*j = -n - 0*n + 7*n + 85 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.026 rounded to 3 decimal places?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 8*j**3 - 13*j**2 - 4*j - 23. Let o(h) = -7*h**3 + 12*h**2 + 4*h + 22. Let d(k) = -6*l(k) - 7*o(k). What is d(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 64\/256 - (-14)\/8. Let b(n) = 6*n**2 - 2*n - 1. What is b(d)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70, 151, 518, 1031, 1690?\nAnswer: 2495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 4*a**2 + 2. Let f be x(-2). Let r be 4\/10 + f\/6. Which is greater: r or -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21211101 a multiple of 445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u - 2*u - 7*u**2 + 2*u**2. Let r be v(-2). Are r and -12 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*18 + (-12)\/(-3). Does 13 divide v\/(-91) - (-672)\/26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h + 219 - 220 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d + 9*d**2 - 4*d**3 - 14*d**2 + 5*d**3 in the form k*d**2 + g*d + i + t*d**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-605)\/(-275))\/((-2)\/(-10))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(9)\/sqrt(12)*5 + (sqrt(3) - -1*sqrt(12)\/sqrt(4)) + sqrt(3) + -1.\nAnswer: -2 + 11*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**3*z + c**3 - 14*c**2*z + 8*c*z + 2*c + 4 wrt c?\nAnswer: 12*c*z + 6*c - 28*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48 - 43. What is the nearest to 1 in -3\/7, 0, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25380?\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 12:32 PM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4264\/10685 - -2\/2137. Which is the biggest value? (a) -74 (b) 2\/7 (c) 1\/8 (d) m (e) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-34)*(-41)\/82\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000031449 rounded to seven decimal places?\nAnswer: 0.0000314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5687743544 less than 0.1192?\nAnswer: -5687743543.8808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - ((-12)\/(-18))\/(2\/6). Suppose -3*x = u*c - 2*x - 1953, 4*c + 5*x - 3903 = 0. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3184053 = 256*a + 3186101 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2674?\nAnswer: 2, 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -406 or -405?\nAnswer: -405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -60 - -102. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z + 1312 = -5*z. Let t = 307 - z. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/21 + (0 - 1868\/28). Let o = 70 + i. Suppose -5*g - 3 = 22, o*k - 3478 = 5*g. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -1. Let g(j) = -j**3 - 3. Let w(u) = -u. Let x be w(-1). Calculate x*g(z) - 3*s(z).\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 5 = 2*b, 1778 = 2*b + 2*n + 1774 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 279 (base 12) to base 13.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11905439 and 435398912?\nAnswer: 3047792384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 43 + -53 + (0 - 1)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 70536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o - 4*o + 0*o + (4*o + 0*o - 2*o)*(-1 + 0 - 1) - 3 - 14638*o + 7326*o + 7322*o.\nAnswer: 4*o - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -785, -4215, -10289, -19007?\nAnswer: -30369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 d when three letters picked without replacement from {k: 17, d: 3}.\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of 83\/4*n**4 + 0*n - 2\/3*n**3 - 1\/2*n**2 - 68. Find the third derivative of c(o) wrt o.\nAnswer: 498","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 48378, 96767, 145168, 193581, 242006?\n\"Answer: 6*r**2 + 48371*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Multiply -37 and -3.\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2324.499 nanometers in meters?\nAnswer: 0.000002324499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 624 and 30784?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.4, -3 in descending order.\nAnswer: 0.1, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -5*s**2 - 5*s - 2. Let q be h(-4). Suppose -j - 3*n + 80 = 0, -2*j - 5*n = j - 256. Let u = j + q. Calculate the greatest common divisor of u and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/8, 2.1, 1, -49?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 10) in base 8?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 67893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 309196.3 litres to millilitres.\nAnswer: 309196300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -10. Let h(l) = -5*l**2 + 0 + l - l**3 + 0*l - 2 + z*l. Determine h(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 204589.2s to milliseconds.\nAnswer: 204589200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -3\/2*p**2 - 141 - 38\/3*p**3 + 0*p. Let y(x) = x. Calculate y(n(c)).\nAnswer: -38*c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + f + 72 = 0. Let k be (1 + 0)\/(1\/(-13)). Let t = k + f. Calculate the remainder when 8 is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/13 - 78932*l\/13 + 1816494\/13.\nAnswer: -2*(l - 23)*(l + 39489)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 18 (b) 3\/5 (c) 5 (d) 0.5 (e) -6.835\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3790233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -17 (b) -10.92 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*f + f - 5*f + (-5 - 3*f + 5)*(-45 + 107 + 27).\nAnswer: -266*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*v + 277*v**2 + 21*v - 305*v**2.\nAnswer: -28*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1551606?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2916.518 (b) 2 (c) -2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -120, -230, -364, -510, -656, -790?\nAnswer: -900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 28 and -4.8855.\nAnswer: -136.794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3233 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1992600 divided by -221400.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1234675 and 255229.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/4686 and -31\/7029?\nAnswer: 14058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 160\/(-240)*(-9)\/(-2). What is the remainder when (-16)\/216*y + 106\/9 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + q = -13, -5*q - 42 + 75 = 2*v. Let l(k) = 7*k + 3. Let x be l(-3). Let s be (-11358)\/(-81) + 4\/x. What is the highest common divisor of s and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6\/25 of a microgram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 304, -4, 227.\nAnswer: -4, 227, 304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xfs when three letters picked without replacement from {s: 7, x: 2, u: 1, f: 2}.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21805\/(-8722)*(-6)\/(-110).\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 648, 1326, 2022, 2724, 3420, 4098?\nAnswer: 4746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**3 - 57*r**2 + 379*r + 181. Give w(12).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*k = -5*k + 496, -5*k - 496 = -t. What are the prime factors of t?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -y - 3*g, 0 = g + 281 - 276 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6479 and 6?\nAnswer: 38874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 947*k**2 - 2117*k**2 + 1182*k**2 - 2938 + 3*k**4 wrt k.\nAnswer: 12*k**3 + 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 112*r**4*v**2*w - 822*r**3*w**2 + 2*r*v**2*w - 2*r*v - 2*v**2*w**2 + 6*v*w - 54 wrt r.\nAnswer: 1344*r**2*v**2*w - 4932*r*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 1, -3, 11, -4, 25 in ascending order.\nAnswer: -4, -3, 0.4, 1, 11, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38 + 41. Let a(x) be the first derivative of -1\/6*x**r + 1\/4*x**4 + 1\/10*x**5 + 0*x + 1 - 1\/2*x**2. Factor a(p).\nAnswer: p*(p - 1)*(p + 1)*(p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 282, 452, 620, 786, 950, 1112, 1272?\nAnswer: 1430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1690.081 litres?\nAnswer: 1690081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 49?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 305*j + 829*j + 578*j - 153218 = -134*j for j.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4303 and -3.\nAnswer: 1.2909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -42007, -44246, -46485, -48724?\n\"Answer: -2239*r - 39768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 39*b - 240. Let n be k(7). Calculate the highest common factor of n and 418.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 331886?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1361 - 1361 - 28191*x + 28186*x.\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 102820.69686 - -16515?\nAnswer: 119335.69686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 172*c - 2979. Calculate p(17).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 969 + -944. Calculate the greatest common factor of z and 575.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((-3)\/9*3)\/3.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2294307631?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 428*b**2 + 846*b - 2547. What is i(-426)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -16*x**3 - 4*x**2 + 5*x + 6. What is the tens digit of m(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 83476?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, 0.159, -0.5, -2 in descending order.\nAnswer: 0.159, -0.01, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 60*n**2 + 780*n + 46795. Give c(-60).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4c8f (base 16) to base 9\nAnswer: -28786","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(208) - -2*sqrt(208))*2 - (sqrt(208) + -1)*4 - (-2*sqrt(208) + 2 + (sqrt(208) - (sqrt(208) + 0 - sqrt(208))) + 0)))**2 + 5.\nAnswer: 144*sqrt(13) + 1913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 4*k + 35, 3*f = -0*k + 3*k + 36. Let c = 14 - f. Let o be 2 + -1*(1 + c). Solve 4*l - 8 = -o*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2160 and 37.14725?\nAnswer: 2122.85275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 67.84 - 69. Let r = h + 0.4. Round r to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (265*y + 5*y + 67*y - 45*y)*(0*y - 2*y**2 + 0*y) to c*y**3 + w*y**2 + r*y + h and give c.\nAnswer: -584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -404239*y**2. Let j(f) = 10*f**2. Determine p(j(w)).\nAnswer: -40423900*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 16746.3852 rounded to zero dps?\nAnswer: 16746","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5879044?\nAnswer: 2, 1469761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 428, 0.06, 2, 0.\nAnswer: 0, 0.06, 2, 428","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*l + 50*l + 2940 = -40*l for l.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 886878341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -173538448\nAnswer: 3\/173538448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 11*f + 58. Let a(r) = 3*r + 6. Calculate -3*a(z) + n(z).\nAnswer: 2*z + 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 165 - 2615\/16. What is the common denominator of v and ((-160)\/(-40) + 4\/((-12)\/(-81)))\/(-362)?\nAnswer: 2896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40 (base 5) to base 14.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 6*z + 93. Let y = 7 - z. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/4 of a milligram in micrograms?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10832 is divided by 30?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(84) + (sqrt(84) - sqrt(84)*-2)) + sqrt(84))\/(2*sqrt(64)))\/((sqrt(300) + (sqrt(300)*1 - sqrt(300))*-5)*-1).\nAnswer: -13*sqrt(7)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 257 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2906*f - 2895*f = 11. Let j = 14 + -14. Solve j*t - d + 11 = -3*t, 3*t = -d - f for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*q + 22*q = 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22 - 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02393503079 to 4 dps.\nAnswer: 0.0239","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -6*p + 1. Let t be k(1). Let b be (-1 - (-2 - -2)) + -3. Let o = -0.1 + 5.1. Sort b, t, o.\nAnswer: t, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 84 - 82. Solve 3*v + g*q = -5, -12 = -3*v + 4*q + 7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*v**3 + 0*v**3 + 3*v**3 + 2*v**3.\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 18 = 3*z. Suppose 0*i = -z*i + 318. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 125*n**6\/36 + 15*n**5\/2 - 5*n**4\/24 - 205*n**3\/18 - 10*n**2 - 10*n\/3 + 22. What is c in o(c) = 0?\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 150 and 240500?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v - 2. Let l = 16 - 12. Let g(u) = 5*u + 6. What is l*g(f) + 11*t(f)?\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (14\/(-56))\/(18\/(-360)). Solve -2*k + 4 = q - r, -2*q + 4 = -3*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00098121 rounded to four dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -17*b**2 - b - 2. Let q(w) = -15*w**2 - 4*w + 12. Let o(j) = 7*j**2 + j - 1. Let z(y) = -7*o(y) - q(y). What is 5*p(f) - 2*z(f)?\nAnswer: -17*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(315) + 1*sqrt(315)))\/(-3*(-3*sqrt(70))\/sqrt(10))*5)**2.\nAnswer: 2000\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = c - 78. Let a be 6\/(3*-1) + 10. Suppose -a = -4*r + c. Solve r = 2*g + 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -378*g**6*o**3 + 8*g**2 + 11*o**3 wrt g?\nAnswer: -45360*g**3*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 smaller than 37\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 166, 1291, 4326, 10225, 19942, 34431, 54646?\nAnswer: 81541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 - -23a3b4?\nAnswer: 23a3ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*n**4*q**2 - 26096719*n**4 - 18*n*q**2 - 40*n*q - n - 2*q**2 - 2*q + 422 wrt n?\nAnswer: -24*n**2*q**2 - 313160628*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -643 - 588*q**3 + 643.\nAnswer: -588*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 5*h. Suppose -5*d + 11 + 4 = h. Let y(n) = -3*n**3 - n**2 - 2*n - 1. What is the remainder when y(-1) is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -95070*t**2 + 5994*t + 9 wrt t?\nAnswer: -190140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1)\/t*(t\/(t\/t**(1\/2)))\/t)**0*((t**(-1\/2))**46)**9 assuming t is positive.\nAnswer: t**(-207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*m - 312 = -104*m. List the prime factors of m.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.0001432us to hours.\nAnswer: 0.000000002222262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 459 is divided by 88.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -y**9\/30240 - y**8\/3360 - y**7\/840 - y**6\/360 + y**5\/20 - 5*y**2. Let n(z) be the third derivative of g(z). Factor n(t).\nAnswer: -2*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1745, -944, 0.013?\nAnswer: -1745","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 8:10 PM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1612623707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -0*p - p - 4*b, -2*b - 11 = -3*p. Solve -1 = 3*n - p for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*z - 191 = -272. Suppose -2*d + 2 = -6. Sort z, d, 5 in descending order.\nAnswer: 5, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f + 28. Let r be c(7). Let s = -14 - -15. What is the greatest common divisor of r and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 217, 25, -0.1, -1?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 324 divided by -860.\nAnswer: -81\/215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m*m**(-1\/8))))**(-31)\/(((m\/m**9)\/m)\/(m*m**(-28))) assuming m is positive.\nAnswer: m**(-361\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1120, -1121, -1122, -1123?\n\"Answer: -l - 1119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oonooonqn. What is prob of picking 1 o and 2 n?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kezfzzezrk. Give prob of picking 1 f, 1 r, and 1 k.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-5))\/((-5)\/75). Suppose 5*c = 0, r*c - 2*c = i - 1. Let f = i + 1. Solve 0*j = f*j + 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 - r**4 + r**2)*(0 - 6 + 5) - 2*r**4 + r**4 + 2*r**4 + (-r - r + 3*r)*(0 + 0 - 3*r**3).\nAnswer: -r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yjcjytcljytljttjtj. Give prob of sequence ccjl.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in -1, -1\/6, -0.1, -9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2*sqrt(19)*2 + 5.\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26*p**4 + 94*p**3 + 100*p**2 + 32*p.\nAnswer: 2*p*(p + 1)*(p + 2)*(13*p + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 16*j. Let q(b) = 8*b. Determine q(g(t)).\nAnswer: 128*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1101080*u**2 + 8*u**3 + 1101080*u**2.\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + c**3 - 419*c**4 - 3*c + c**2 + 211*c**4 + 206*c**4 in the form u*c**3 + w*c + b*c**2 + i*c**4 + r and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-5))\/(16\/120). Let q(d) = -d + 16. Let l be q(u). Let g = l + -6. Solve 0 = -4*c + 4*f - 12, -5*f - g = -3*f for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide (-20)\/6 + 87190\/(-210)*-28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 783*b - 798*b - 120 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 76030446?\nAnswer: -76030442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 less than -43686275148?\nAnswer: -43686275148.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.5592621 - 1.5622109. Let g = c + 6.9664. Let q = g + 0.155. What is q rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -196, -1, 1, 12 in descending order.\nAnswer: 12, 4, 1, -1, -196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of 9*l**5\/20 + 5*l**4\/6 - 8*l**3 + 6*l**2 - 2*l. Let v be d(15). Suppose -4*k + v = 5*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -5*f**4\/8 - 5*f**3\/6 + 2*f**2. What is the tens digit of v(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4133b (base 12) in base 10?\nAnswer: -85151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/5 + (-9208)\/130 - 32769\/(-141999).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -74674c (base 15) to base 9.\nAnswer: -11373430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)*6)\/(sqrt(256)*-2).\nAnswer: -9*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36)\/sqrt(2) + (sqrt(2) - (sqrt(2) - (1 + sqrt(288)))) + 1)*-5)**2.\nAnswer: 1500*sqrt(2) + 11350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffeehshhehhp. What is prob of sequence sfe?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5\/9)*m)\/((m*m**15)\/m) assuming m is positive.\nAnswer: m**(-131\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*j - 3*j - 3*j)*(3*j - 3*j**2 + 4*j**2 + j) to s*j**3 + p*j**2 + d + a*j and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 103*z**6 + 9 + 387*z - 46*z**3 + 9*z**3 + 36*z**6 - 389*z - 6*z**2 wrt z.\nAnswer: 16680*z**3 - 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**5 - 3*b**5 + 5*b**5 + (2 - b**2 - 2)*(-b**3 + b**3 + b**3) - 6*b**5 - 5*b**5 - 2*b**5.\nAnswer: -12*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -636065, -636063, -636051, -636023, -635973, -635895?\n\"Answer: m**3 - m**2 - 2*m - 636063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 4*d**2 - 99*d - 5. Let l(a) = 5*a - 55. Let h be l(9). Is s(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*t - 7*t + 8*t)*(-4*t**4 + t**4 + t**4).\nAnswer: 14*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5409 + -5407. Solve 4*y - 4 = -z*s, -4 = y + s - 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 7*u - 4. Let t(l) = -l - 1. Let w(q) = -d(q) - 6*t(q). Let f be w(10). Solve f = -0*z + z + 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 2*u + 4890, 0 = -n - 4*u + 1274 - 318. What is the highest common divisor of n and 183?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2223973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 10:25 AM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -524, -497, -468, -437?\n\"Answer: f**2 + 24*f - 549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/2, -1, 6, 3\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -756 - -111?\nAnswer: -645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*b**2 - 14*b**2 + 82*b**2 - 11*b**2.\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.36437 in 2, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58713, 58715, 58719, 58725, 58733, 58743?\nAnswer: 58755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/78804 and -67\/342.\nAnswer: 1497276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - v**2 + 14*v + 14. Let o be a(-1). What is the nearest to o in 0.09, 4, -2?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -0.088?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1331101 + 2?\nAnswer: 1331103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 436640?\nAnswer: 2, 5, 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*s + 3*s - 4*s + (0 + 1 + 1)*(-3*s + s - s) + s - s - 2*s + (3 + 2 - 3)*(4*s + s - 3*s) + (-4*s - 1 + 1)*(0 + 3 - 2) as q*s + a and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*x - 21*x. Solve -4*n + r = -4*r - 41, x = 3*n - 4*r - 32 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+55.7\nAnswer: 55.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + 2*d. Suppose 13 - 1 = -4*a. Let r be m(a). Suppose -4*q + 9*q + 4*y = 173, 5*y = -r*q + 96. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 500 and 168.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.062621 less than 0.138148?\nAnswer: -5.924473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 + 99*z - 862. Determine v(55).\nAnswer: 1558","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.395 times 32235.5\nAnswer: 12733.0225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - (-3 + -2) - 0) + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - s + 22. Let n be i(0). Let t = n + -6. Let y = 27 - t. Solve -5*d + y = 1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -2. Let o(x) = -2*x**2 - 8 - 3*x**2 - 11*x + 5*x**2 + 9*x**2 + x**3. Let q be o(-10). Sort q, -0.4, t in increasing order.\nAnswer: -0.4, t, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 104338.\nAnswer: -20867.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*h**2 - 36*h**2 + 12*h**2 - 44*h**2 - 2 - 22*h**2 - 25*h**2.\nAnswer: -133*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -7*d - 2. Let i be n(-2). Suppose 0 = -0*s - 2*s - 4*l + 42, 0 = s + 5*l - i. Suppose g - s = -0*g. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 38 + 0 = g, 4 = -g. Calculate the greatest common factor of l and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15659 - 9914. What is j rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29 * 0.25119\nAnswer: -7.28451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10\/3 in 864, 4, 2\/3, 2\/7, -1039?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 1 = 31. Let r(c) be the third derivative of -c**4\/24 + 8*c**3\/3 - 21*c**2. Let u be r(q). Solve -u*i + i = -10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/24 and 89\/180306?\nAnswer: 721224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1197831?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14943 is divided by 1718?\nAnswer: 1199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of d**7\/21 - d**6\/15 - d**5\/10 + d**4\/6 + 48*d - 59. Let s(u) be the first derivative of j(u). Solve s(v) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -163*c + 9. Let j(n) = 83*n - 4. Determine 4*f(s) + 7*j(s).\nAnswer: -71*s + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*o**5 + 2*o**5 + o**5 + (-2*o**4 + 2 - 2)*(-2*o + 3*o + 0*o) - 3 + 3 - o**5 - 2 - 2*o**5 + 2.\nAnswer: -7*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 + -5.3. Let y = k - -8. Let i = y + -3. Which is smaller: i or 0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4*d. Let g be i(-2). Let t be ((-9)\/12)\/(2\/g). Let z(j) = 3666*j - 2. Let o be z(t). Round o to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*z - 5 = 0. Let k be z\/(-2)*(9 + 13). What are the prime factors of (-40)\/(-22) + (-2)\/k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (22\/(-3) + 7)*72\/(-2). Solve 10*v = s*v + 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (92*w - 18*w - 19*w + w + 0 + 0 + (1 - 1 + 1)*(-w + 0*w - w))*(4 - w**2 - 4)*(-19 + 19 + 2*w) in the form r + o*w**2 + p*w**3 + a*w**4 + n*w and give a.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 6*m**2 - 4*m - 4. Let a be u(4). Suppose -d + 10 = -3*j, -j - 4*j = 3*d + a. Solve 2*p - p = d for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-36)\/(-16) + 1\/(-4). Suppose 4 = z + s. Find the first derivative of 2*h**2 + h**z - 2 - h**2 wrt h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -0.07 (c) 0.031 (d) 3 (e) -68.8 (f) -1.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79059*d**3 + 316243*d**3 - 79061*d**3 - 79058*d**3 - 79061*d**3.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -62*g + 55*g + 2 - 64*g**2 + 38*g wrt g?\nAnswer: -128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -227*p + 226*p + 9, -4*x - 5*p + 16 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 86837223 and 4818?\nAnswer: 2409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -2*s + 3*h + 14, 4*h = 3*s - 28 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (465\/(-1240))\/((-3)\/(-184)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.52803 weeks in days?\nAnswer: 528.69621","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**3 + 2*g**2 - 1. Let l be a(-1). Sort -3, -6, l.\nAnswer: -6, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -b**6\/5 + 12*b**5\/5 + 69*b**4\/10 - 96*b**3 - 1728*b**2\/5 + 58. Let v(g) = 0. Calculate g.\nAnswer: -3, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/12*11307\/7538\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-55)*(-7)\/((-105)\/(-75)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-24)\/s)\/s*s)\/(s*s**6\/s))**(-2\/29) assuming s is positive.\nAnswer: s**(62\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (503231 - 253714 - 252906 + 7*v)*(2*v**3 + 4*v - 4*v) to the form r*v + d*v**2 + t*v**4 + q + m*v**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-24)\/(-8 + 5)) - (-39)\/(-132)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -792*b - 1. Let f(w) = -1516*w**2 + w. Calculate o(f(a)).\nAnswer: 1200672*a**2 - 792*a - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79, -115, -157, -211, -283, -379, -505, -667?\nAnswer: -871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/(-36))\/(-2) - 2\/(-6).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000003795 to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i + 1. Let l be 2\/(-5)*(7 + -2). Let w be m(l). Let z = -2 - w. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30\/(-20)*(-7)\/((-7)\/(-250))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 16\/3*t**3 + 2\/3*t**4 + 32\/3 + 16*t**2 + 64\/3*t = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134*j - 131*j - 6 = 0, -j = -4*v + 17026. Calculate the remainder when v is divided by 71.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -4018*o - 36531. What is l(-9)?\nAnswer: -369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 210270*x**3 + 34511*x**3 - 1.\nAnswer: -175759*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-4) - 2\/4. Suppose 5*y = 4*z + 4*y + 58, n = z + 3*y + 21. Is (-1 - -2)\/((-3)\/z) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d**5 - 56*d**4 + 33*d**3 + 28*d**2 + 4*d = 0. What is d?\nAnswer: -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 34*u - 113. Determine h(13).\nAnswer: 329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, d: 5, h: 3}. Give prob of sequence hdoh.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 1891 - 1810 = -2*d, 0 = 2*d + 12. Which is bigger: 49 or k?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33414 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*u**4 + 114 - 40*u**4 + u - 3*u**3 - 112 to the form f + g*u**2 + j*u + s*u**3 + i*u**4 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -0.033627454.\nAnswer: 0.033627454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of 17*v**7\/210 - 3*v**5\/10 - 10*v**2. Find the third derivative of u(n) wrt n.\nAnswer: 408*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.69 - 0.59. Let l = 17\/30 + -1\/15. What is the biggest value in l, c, 265?\nAnswer: 265","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - u**2 - 2*u + 5. Let j be g(3). Calculate the greatest common factor of j and 2771.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*3\/(-30))\/(10*2\/(-8)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 90 + 11. Suppose 5*s + 124 = 2*p, p - 2*s = -4*p + 268. What is the remainder when i is divided by p?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 264.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2\/11, 1\/3, 1152, 2\/5, 3 in decreasing order.\nAnswer: 1152, 3, 2\/5, 1\/3, 2\/11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5*((-4)\/(-10))\/((-2)\/5). Suppose 2*p = b*y + 1838, -y = 1 - 3. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 69*h**2 - 142*h**2 + 77*h**2 + 248 - 132*h.\nAnswer: 4*(h - 31)*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.16518 and 0.03?\nAnswer: 0.0049554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 5*y = -46, 86653*v + 4*y - 32 = 86657*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 278636, 558008, 837380, 1116752, 1396124?\n\"Answer: 279372*c - 736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83917.\nAnswer: 31, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/(-2))\/(-3) - -4. Is 4\/5 smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182 is divided by 63.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - k - 7 + 2 = 0, -2*c - k = -7. Solve y = c*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-32)\/240 + (-94)\/(-30). Suppose 124 = 6*n - 2*n - 4*g, -5*g = 3*n - 61. Calculate the highest common factor of n and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - i**2 - 3*i. Let q be b(0). Let c(o) = 2*o + 3. Give c(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20099442*q**3 + 10134034*q**2 wrt q?\nAnswer: 120596652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (9 + -3 + 9 + -8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 4:22 PM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 5*o**2 + o + 4. Let f be c(4). Let b = 6 + f. Let s be (-34)\/(-12) - b\/12. Solve 4*d + s*n = 12, d - 2*n = 6*d - 8 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36588829?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w - 70. Suppose 2*a = -2*a. Let b be f(a). Let v be (-2)\/6 - b\/(-15). Put v, -1, 3 in descending order.\nAnswer: 3, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 6 = 2*u, -5*u = -4*q - 0*u - 15. Suppose q = -518*w + 525*w - 112. Solve 14 = 6*j - w for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bqb when three letters picked without replacement from qqsqbsssqsoqbsb?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 959300 to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -40335, -161332, -362989, -645306?\n\"Answer: -40330*d**2 - 7*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 2107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/394160 and -9\/2759120?\nAnswer: 2759120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-50)\/4*(-24)\/60\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of ((-27)\/(-6))\/((-12)\/(-784))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5191354, 5191346, 5191332, 5191312?\n\"Answer: -3*j**2 + j + 5191356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121 + 12*v**3 + 121 - 43*v**3.\nAnswer: -31*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-69)\/(-15) + -3 + (-68)\/(-20). Solve -h*w + 3*w = -4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 561\/(-3432)*(-404)\/(-3434)\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1\/12988623?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5411 - -5417. Solve -4 + 1 = 4*z - v, z + t = -5*v for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 488979457 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (200 - 399 - 5*l**2 + 201 + 5*l**3)*(-4 + 1 + 1) as t*l + d*l**2 + n*l**3 + r and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 p, and 1 e when three letters picked without replacement from ehuphho.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11.3 + -76260.\nAnswer: -76271.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**2 - z**2 - 20*z**3 - 20*z**3.\nAnswer: -40*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 324256 and 36832.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20358 or -20345?\nAnswer: -20345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -4*z + 14 + 4, 5*l = 2*z + 2. Let p = 0 + 0. Suppose -5*g + 5*s = p, 5*s - 12 = l*s. Solve 13 = -4*w + k, -k = -w - g*k for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10880762 to the power of 1\/3, to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-295)\/(-15) + 6)\/(1\/(-3)). Let i = m + 97. Differentiate z**4 + 1 - 42*z**4 + i + 5*z**4 wrt z.\nAnswer: -144*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.127 + 2.127. What is the third biggest value in f, -59, -2?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + (sqrt(153) + sqrt(153) + 2*sqrt(153) + sqrt(153) + sqrt(153) + sqrt(153) + sqrt(153))*4 + sqrt(153) + sqrt(153) + sqrt(153))\/sqrt(9).\nAnswer: 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23765746.\nAnswer: 2, 11882873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 - 2 - (-26 - (51 - 44 - 39))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11624904.\nAnswer: 2, 3, 53819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/14*(-9 + 1). Put s, -3, -12 in decreasing order.\nAnswer: -3, s, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-16)*(-18 + (-1190)\/(-65))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*v - 4*t + 4, 0 = 4*v + 3*t - 27. Let y = 9 - 1. Solve 2 - y = -v*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of 1811*d**3\/2 - 7263*d**2\/2 + 99*d - 7. What is the first derivative of i(g) wrt g?\nAnswer: 5433","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -85*-457636\nAnswer: 38899060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (318\/(((-16)\/(60\/15))\/(-2)))\/(-3).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1, -14, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -3*l - 2. Suppose 2*w = -3*f + 160, -l*f + w = -w - 120. Does 7 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152333*c - 152383*c + 304635*c - 3.\nAnswer: -81*c - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -78497.2 rounded to the nearest 1000?\nAnswer: -78000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-7 + 6)) + (-4 - -7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 6 + 14. Let y(r) = b*r - 3*r + r. Let g(c) = -4*c. Determine g(y(z)).\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -82cb + 2c?\nAnswer: -829f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 7*j - 15. Suppose 0*i + b - 48 = -j*i, -3*b = 0. Differentiate -11 + 8*o**2 - i*o**2 + 4 wrt o.\nAnswer: -16*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 138 + -130. Which is the closest to 1? (a) -0.3 (b) v (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8710 divided by 5.\nAnswer: 1742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46124 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -144, -148, -162, -192, -244, -324, -438?\n\"Answer: -r**3 + r**2 - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -344, -687, -1030, -1373, -1716, -2059?\nAnswer: -2402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3054*g - 13986*g + 5072*g to the form b*g + t and give b.\nAnswer: -11968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 6*m + 2. Let j(o) = -906 + 15*o - 10*o + 907. Suppose 2*g = 2*k - 7 - 7, 16 = -4*g. Give k*j(i) - 2*r(i).\nAnswer: 3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 1716 = 4*m - 432, 5*m - 2685 = u. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1))**(2\/27)*g**(-4\/9)*g*g**(-3\/5))\/((g**(-2))**(-1)*(g\/(g**(-1\/3)\/g))**(-3\/4)) assuming g is positive.\nAnswer: g**(-199\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -140 - -98. Let p = 48 + z. Let v(x) = -x**2 + 6*x + 6. Let y be v(p). Let i(c) = c**3 - 5*c**2 - 8*c + 5. What is i(y)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2291115494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/10 + 3 - 18\/9. Which is the closest to -2\/7? (a) -4\/7 (b) 0.2 (c) f (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-20)\/27*210\/(-350). What is the second smallest value in -5, -34, -0.3, v?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-4)*l*l\/(l\/(l*l*l**(-12)*l))*l*l*l**1*l\/(l\/(l**(-3\/8)*l*l))*l)**17 assuming l is positive.\nAnswer: l**(-867\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8 + 1 - 2\/2. Let t be c\/3*18\/(-8). Let y(f) be the third derivative of -f**6\/120 - 7*f**5\/60 - f**4\/4 - f**3\/3 + 4*f**2 + 18*f + 26. Calculate y(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -d**4\/24 + d**3\/6 + 8*d**2. Let s(f) = f - 21. Let j(m) = -7. Let u(k) = 8*j(k) - 3*s(k). Calculate -4*l(n) + u(n).\nAnswer: n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 79\/284 + -2\/71. Is w >= 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1329*h**3 + 2582*h**3 + 4766*h**3 + 993*h**3 + 1554*h**3)*(-h + 2*h + h).\nAnswer: 22448*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(-117)\/(-12)*4. Let z be (o\/35 + -1)*6. Let v = z + -2\/7. Which is the closest to 2? (a) -2 (b) -5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 675 + 571 + 3*u - u - 1801 + 555.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2*y**5\/3 - 158*y**4\/3 - 322*y**3\/3 - 54*y**2 = 0?\nAnswer: -1, 0, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 83630, 166701, 249788, 332891, 416010, 499145, 582296?\n\"Answer: 8*t**2 + 83047*t + 575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + 23931349836743\nAnswer: 23931349836743.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 92750645 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-423)\/(-423))\/(3\/(-9)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 3*b - 3*b)*(13 - 18 - 17).\nAnswer: 154*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.129 - -0.12921. Round t to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1356673 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) 4 (c) -31027 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 5*m**2 - 2. Calculate n(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 140 and 620683?\nAnswer: 12413660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4 + 23*o**3 - 189*o**2 - 443*o - 232.\nAnswer: (o - 8)*(o + 1)**2*(o + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17396 greater than 17499?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2*y + 3 + 9 = 0, -3*v = 2*y - 8. Suppose -4*o - v = 4. What are the prime factors of 1\/(o\/(-4)) - -4?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1004, 1006, 1008?\nAnswer: 1010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 44435 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-3\/2)*n)\/(n*n\/n**(-10\/3)*n*n*n))**(-12\/5))**(-2\/5) assuming n is positive.\nAnswer: n**(-212\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 7:25 AM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**4 - 438*a**3 + 2566*a**2 - 2106*a - 5112 = 0. What is a?\nAnswer: -1, 3, 4, 213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58368076.\nAnswer: 2, 13, 19, 59077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-4 - (-4 - -5))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 142*i**2*k*p**3 - 2*i**2*k*p - i*k*p**3 + i*k*p**2 + k*p**2 + 30*p**3 wrt i.\nAnswer: 284*k*p**3 - 4*k*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 12*i**2 + 27*i - 5. Let s be c(9). Sort -4, s, -7 in ascending order.\nAnswer: -7, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 338818, 34 in decreasing order.\nAnswer: 338818, 34, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 + 40. Let f(b) = b**2 - 6*b + 5. Calculate f(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1110101001011101011 (base 2) to base 14\nAnswer: c6cc3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 12*r - 22. Let j be b(9). Let z(m) = -3 + j*m + 1 + 2. Let l(u) = 15*u. Let q(h) = -7*h. Let p(i) = 6*l(i) + 13*q(i). Determine p(z(v)).\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -38911, -77732, -116459, -155092, -193631, -232076, -270427?\n\"Answer: 47*x**2 - 38962*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 0)*(-6*x + 2*x + 2*x)*(3*x**3 + 1 - 1 + (2*x + 0*x - x)*(5*x**2 - 4*x**2 - 2*x**2) - x**3 + 1 - 1).\nAnswer: 6*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8041?\nAnswer: 11, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.74599 months in centuries?\nAnswer: 0.039788325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -7*d**2 + 9\/28*d**4 - 9\/7*d**3 + 0*d + 1\/420*d**6 + 0 - 3\/70*d**5. Solve l(v) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-22)\/(-231))\/(10\/35).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1522463372 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -46536*j**2 - 27648*j?\nAnswer: -93072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7554?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*n**2 - 7*n**2 + 7*n**2)*(2 + 4 - 4)*(3 + 1 - 1)*((5 - 2 - 2)*(1 - 2 - 1) - 206 + 178 - 344).\nAnswer: 56100*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18715*n + 18238*n - 8994 = 1977 for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of 3*y**6\/2 - 4*y**5 + 131*y**3\/3 - 1041. Find the third derivative of m(n) wrt n.\nAnswer: 540*n**2 - 480*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 + -0.3. Suppose 0 = -59*u + 114*u + 98*u + 82*u. What is the nearest to u in 2\/7, s, 0.5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*t**2 - 8*t**3 - 17*t**2 - 4*t**3 + 16*t - 8*t - 3*t**4 - 6*t - 1 to y*t + a + r*t**3 + f*t**2 + l*t**4 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1151 - -1149. Let g be (-1722)\/(-336) + (-1 + -6 - k). Factor 5\/8*d + 0 - g*d**3 + 1\/2*d**2.\nAnswer: -d*(d - 5)*(d + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -160.6 + 19.6. Let o = 143 + h. Which is greater: o or 1\/9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(360)\/((sqrt(64)*3 + sqrt(64) - sqrt(64))\/sqrt(8)) - (sqrt(2880) + 2)*-3.\nAnswer: 6 + 73*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1111 - 1112. Let j = -0.08 + -0.42. Which is the closest to -0.1? (a) j (b) 5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4006?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pyypyp. What is prob of picking 3 p?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.5 - -0.2. Let a = 0.05 + 0.95. Sort -3, a, b in ascending order.\nAnswer: -3, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38578 - -38592.4545. Let o = 14.4 - n. Let v = o + 0.068. Round v to 3 dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213 is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y + 9. Let n(m) = m - 8. Let o(u) = -4*n(u) - 3*w(u). Suppose -5*a - 1 = -11. Let l = a - -3. Determine o(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p + 7*p - 2*p - 2*p.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3730 + 3734. Let l(o) = 284*o - 2. What is the smallest common multiple of n and l(1)?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 2:41 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*c + 3. Does 8 divide (-6)\/(4\/(-232)*c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o**5 - 4*o**5 - 3*o**5)*((1 + 0 + 1)*(-2 - 17 + 3) + 678 - 269 - 304).\nAnswer: -146*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -22*(-2)\/(-780) - 14\/(-105). Let y = p + -31\/65. Which is the second biggest value? (a) y (b) 2 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -260 = 3337*o - 3357*o for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3166 + -44267\/14. Calculate the common denominator of a and -48\/35.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4 = -r - 3*r, 0 = 3*r + p - 7. Suppose 0*h + r = h. Let k = h + -4. What is the third biggest value in -2\/13, 0, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 121868*p + 52 + p**3 + 1074*p**2 + 29730*p - 52 + 136771*p.\nAnswer: p*(p + 537)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)*-2*3 - -1*sqrt(4800))**2 + (-1*(sqrt(192) + 0))**2 + 5.\nAnswer: 965","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 46 = -l, -4*l + 10359*m = 10363*m - 56 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v - 2. Let u be j(-7). Suppose 233 = 4*h + u*s - 9, -4*h = -3*s - 258. What is the greatest common divisor of 7 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -1515*s**2. Let q(j) = 2*j. Determine o(q(i)).\nAnswer: -6060*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -5*p + 1730, 5*p + 5*l - 1772 + 42 = 0. Suppose -p = -5*h - 106. Calculate the remainder when 95 is divided by h.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 204400069?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20560381.\nAnswer: 20560381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 5*n - 24, 0*n + 3 = n. Is j*(-2 - -3)*5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p = -p - 18 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zvt when three letters picked without replacement from {z: 2, v: 1, t: 1, k: 4, b: 1}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0.0624, 3, -1, -0.1, 1.5 in ascending order.\nAnswer: -1, -0.3, -0.1, 0.0624, 1.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-4))**(-15))**(1\/33) assuming b is positive.\nAnswer: b**(20\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -53, -36, -3, 52?\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4128 and 9948.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 10*l - 5. Let t be u(10). Let p be 1\/(-2) - t\/2. Let a(v) = -2*v**2 - v**2 + 5*v**p. Let w(h) = 2*h. Determine w(a(z)).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (-16 - (-7 + (-1 - 1) - 1)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -199, -392, -585, -778?\n\"Answer: -193*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3*-1316\nAnswer: -3948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 7*g - 5. Let u = 82 - 81. Let o be n(u). Determine a so that -6*a**4 + a**5 + a**5 - o*a**2 - 335*a**3 + 341*a**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, -71, -87, -119, -173, -255, -371, -527?\nAnswer: -729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18811283?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-138642)\/(-49))\/(4\/14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -2, -69, -5, -3 in increasing order.\nAnswer: -69, -9, -5, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39 + 41. Let w be (-72 + y)*2\/(-4). Let n = w - 14. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.03 (b) -2\/35 (c) 1 (d) 328\/3577\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2180)\/(-140) - (-7)\/((-196)\/(-12)). Solve 11*y - z*y + 10 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 0*r - 5*r - 3, 3*o + 2*r = -24. Let s(v) = -v**2 - 5*v - 4. Give s(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c**3 - 120*c**2 + 5*c + 48. Calculate u(-60).\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -12*o + 1. Let j(c) = -37*c - 1. What is -6*j(u) + 17*y(u)?\nAnswer: 18*u + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 66\/96*(-6)\/(-33). Let g = 0.08 + 0.04. Let w be 2\/(-4) - (-1)\/4. What is the closest to w in f, g, 2\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = n - 3*k + 129, 4*n - 4*k = -496. Let j = -59 - n. Calculate the greatest common factor of j and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(68) - sqrt(68))\/sqrt(4) - (sqrt(17) - (sqrt(170)\/sqrt(10) + 0))) + -3.\nAnswer: -3 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52 - 623\/12. Let f = 3 + -3.4. Which is the third biggest value? (a) 1\/8 (b) f (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 16*t**4 + 11*t**3 + 67*t**2 + 95*t + 62. Let c(m) = -7*m**4 - 6*m**3 - 33*m**2 - 47*m - 30. Let a(y) = -7*c(y) - 3*p(y). Factor a(d).\nAnswer: (d + 2)**3*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/1976847 and 101\/318.\nAnswer: 3953694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 15) to base 3\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13221 is divided by 37?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -102 - -5951?\nAnswer: 584e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5575*m**3 - 5550*m**3 + 11126*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(72) + 0)**2.\nAnswer: 60*sqrt(2) + 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2*n = -30, -2*v + 0*v + 3*n - 34 = 0. Let b = v + 31. Let o be 15\/b*16\/3. Solve -q - o*q - 10 = -5*t, t = 2 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 663437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 278 + 336*n**3 - 662*n**3 + 273 + 328*n**3 - 551.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = g - 2*g, 5*g = -2*n + 7. Let a(v) = -30*v - 3. Let h be a(n). Let m = 186 - h. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 13 + 1 + 8 - v. Calculate the remainder when 38\/(0 + 2 - 1) is divided by u(9).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 488, 822, 860, 452, -552?\n\"Answer: -25*x**3 + 2*x**2 + 503*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4\/12899 + 24835\/38490616. Let q = o + -69383\/14920. Find the common denominator of 119\/18 and q.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -49, -7, 26, 35, 2 in decreasing order.\nAnswer: 35, 26, 2, -7, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64295*x + 3*x**3 - 6*x**3 + 64295*x.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4376)\/60 - 3 - 4\/10. Let w = j - -77. Determine z so that -2\/3*z**2 + 0 + w*z**3 + 0*z = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/8*(136\/85)\/((-20)\/(-50)))\/(-4)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.26 + -5.7. Let m = 0.03 + -0.27. Let h = g - m. What is the smallest value in h, 1\/2, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l = 14 + 13. Let f(u) = u**2 - 2*u - 1. Let q be f(-1). Suppose -4*o - 24 = -2*p, 3*o - p + 22 = -o. Put -1, o, q, l in decreasing order.\nAnswer: l, q, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 4*i - 244, 252 + 53 = 5*i - 5*g. What are the prime factors of i?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from ffdjdssfdfj?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 6*q - 17. Calculate d(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -88\/10874625 and 17\/381875.\nAnswer: 706850625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 666 minus -817?\nAnswer: 1483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-2 + 1 + 14\/7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-27859)\/(-57861))\/(1\/18)\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 + 4*p**2 - 7*p**2)*(-5 + p + 5) - 2*p**3 - p + p + (-p + p - 2*p**2)*(-12 + 12 + 3*p) + 3*p**2 + 2*p**3 - 3*p**2.\nAnswer: -7*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of 11*s**5\/60 + 5*s**4\/24 - 74*s**3 - 443*s**2. Differentiate r(m) with respect to m.\nAnswer: 22*m + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 5*o + 6, 5*z + 6 = 2*z + 3*o. Let g = 15 + z. Calculate the least common multiple of 6\/(-15) + 168\/20 and g.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + 1. Let h(y) = 3*y**3 - 4*y**2 + y - 4. Let d be 1\/2*(-12 + 4). Let j(c) = d*l(c) - h(c). What is the second derivative of j(o) wrt o?\nAnswer: -18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3872664*r**4 - 1175*r + 938 wrt r?\nAnswer: -46471968*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.052384 + 307139?\nAnswer: 307139.052384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1802951718 to the nearest integer?\nAnswer: 42461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u*u**18)\/u)**(1\/22) assuming u is positive.\nAnswer: u**(19\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/9 + 32*h**2\/3 + 1138*h\/9 + 116.\nAnswer: 2*(h + 1)*(h + 18)*(h + 29)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of 31*g**5\/6 + g**4\/3 + 5*g**3\/2 - 127*g**2. What is the thousands digit of n(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -5*v. Suppose 2*y = -3*q - v*y - 13, -2*y = 5*q + 15. Which is the nearest to q? (a) 3 (b) 0.5 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -20 - 24. Let t = a - 29. Let l = t + -6. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1144201289?\nAnswer: 7, 11, 31, 43577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03490947 to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 4:35 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 372*l**3 - l**2 + l + 2. Let p be n(-1). Let u = -347 - p. Is 3 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of a**5\/60 + a**4\/24 - a**3\/6 - 32*a**2. Let w(y) = -14*y**3 - 4*y**2 + 12*y + 4. Let l(m) = -4*i(m) - 2*w(m). Factor l(j).\nAnswer: 4*(j - 1)*(j + 1)*(7*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-one eighths of a day?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 v when two letters picked without replacement from {b: 2, v: 1}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 489 and 652.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -41 + 6?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/z**(-2))\/(z\/(z*z\/z**3)))\/(z*z\/(z\/(z**(1\/4)\/z)))**49 assuming z is positive.\nAnswer: z**(-41\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, p: 1, x: 1, k: 2, g: 1}. What is prob of picking 2 e, 1 x, and 1 p?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-5)*z*z**(-2))**(5\/4) assuming z is positive.\nAnswer: z**(25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -7*a**2 + 5*a. Let j be (1 + -1 - 0) + 28. Suppose 3*r - r + j = 0. Let p be r\/(-4)*4\/(-2). Let x(c) = 10*c**2 - 7*c. Give p*o(k) - 5*x(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1001102211022 + -2212?\nAnswer: -1001102221011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 295329 = 3*c - 295347, j = -5*c + 42 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -13*b - 7. Let p(c) = -6*c - 3. Let g = 1 + -5. Suppose -18*z + 26 = -5*z. Let k be (-3)\/z*8\/g. What is k*l(i) - 7*p(i)?\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-10) + (-2)\/5. Solve 0 = -4*n - s*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 9*b. Suppose b*q - 144 = -4*q - 3*c, -q = -5*c - 59. Is 13 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3057 and 318?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -13*c**2 + 173*c + 124. Let d be v(14). Suppose 0*f = -3*k + 2*f + 3, f + 2 = k. Sort -5, d, k in increasing order.\nAnswer: -5, d, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*i - 14. Let q be i\/(-6)*6\/(-4). Solve 4*p + 6 = q for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1490539\/74 or 20142?\nAnswer: 1490539\/74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/(sqrt(11)*-2 - sqrt(11))*-2 + 3 + -1*sqrt(2) + sqrt(2) + -4)**2.\nAnswer: -4*sqrt(2)\/3 + 17\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 44.34?\nAnswer: 133.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s. Let g(d) = 7*d + 3. Give 5*c(p) + g(p).\nAnswer: 2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -197843891 divided by -31?\nAnswer: 6382061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -2\/91, 0.4, 5\/3, -2, 15 in descending order.\nAnswer: 15, 4, 5\/3, 0.4, -2\/91, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 8 = -5*s + 9, 0 = -4*b - 16 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17110 - -51328\/3. Let p = 13 + -18. What is the smallest value in p, 0.3, s, 0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 767*n - 5. Let j(i) = i. What is j(t(b))?\nAnswer: 767*b - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0889375 millilitres in litres?\nAnswer: 0.0000889375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 136 and 17272?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 762*q - 14 + 23 = 9 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 273 - 209. Let y = -60.894 - 0.106. Let p = y + g. Which is the biggest value? (a) p (b) 0 (c) -0.33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-7) - 144\/(-56). Solve w*p - 7*p = -3*m - 3, -p = 5*m + 28 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-13)\/(-182)*14 + 185. What is the highest common factor of 434 and i?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-4 + 2 - 2) - (4 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-191 - 268 + 114 - 106)*(2*k**3 - 2*k**3 - k**3).\nAnswer: 451*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p - 1 + 9 + 0 + (-4 + 4 + 9)*(321*p - 184*p - 193*p).\nAnswer: -506*p + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4*o. Let l = 4 + -2. Suppose l*k - 7 = 1. Let c(b) = -5*b + k*b + 0*b. Calculate c(j(f)).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 90 + -36. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1 + -5 + (sqrt(325) - (1 + sqrt(325)) - sqrt(325)) + (1 + sqrt(325))*-5)**2*4.\nAnswer: 3600*sqrt(13) + 47700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**7*(k\/(k*k*(k\/(k*k*((k**5*k)\/k)\/k))\/k*k*k))\/k)\/(k**(-2\/3)*k**0) assuming k is positive.\nAnswer: k**(29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 2:46 AM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p + 1. Let h(q) = -q**2 - q - 1. Let a(k) = -h(k) - s(k). Let f(y) = 18*y**2. Determine a(f(z)).\nAnswer: 324*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (2 + -18 + 78 + -66).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 295536779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 4*m - 3. Let a be g(-5). Suppose -4*f = -2*f + r - 3, 4*r = -3*f + a. Suppose -p - f = -10. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 36 = 4*o, 0 = 2*q - 4*o - o - 33. Let y be 1\/((-7)\/q + 2). Let x be (y - -3)\/(3 + -2). Solve -x*t = -8*t - 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5488 - -5419) + (1 - (1 - 18))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -797 and 1.24?\nAnswer: -988.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fftt when four letters picked without replacement from {t: 5, f: 7}.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45 + 41. Let z(b) = -b**3 - 4*b**2 - b + 1. Let m be z(v). Let x be ((-8)\/(-12))\/(m\/(15\/52)). Which is greater: x or 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-88))\/(-11*7\/(-154))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-10))\/((-12)\/480) - 48\/(-8)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 36 = 2*l. What is the greatest common divisor of 45 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*9*52\/39. Suppose -7*w - 5 = -p*w. Solve -2*j = -j + w for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12082?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -246*x**2. Let o(h) = -31*h - 14756 + 14756 + 5*h. Determine k(o(b)).\nAnswer: -166296*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/(-6))\/((-1)\/(-6)). Suppose 1611 = x*i - 2141. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*h**3 + 174*h**2 + 1632.\nAnswer: 9*h**2 + 348*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 15207*l - 15211*l + 84, 2*l - 58 = -2*a. What is the second smallest value in a, -5, -1\/3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -14, -1, 14, 31, 50?\n\"Answer: v**2 + 10*v - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 15 + d + 2*d**2 - 6 - d**2 + 4*d. Let g be n(-2). What are the prime factors of ((-1602)\/(-3))\/g - 4?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -4*o**4 - 16*o**3 - 12*o**2 + 8*o. Let t(w) = -3*w**4 - 11*w**3 - 8*w**2 + 5*w. Let p(d) = 8*t(d) - 5*v(d). Let p(b) = 0. What is b?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4074226 + 8148455 - 4074229 - 56*m**3 + 156*m**3.\nAnswer: 100*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -724 divided by 181.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6895147878.\nAnswer: 2, 3, 17, 47, 479429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, -3, -26 in decreasing order.\nAnswer: -3, -26, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.2, 1.1, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 9*b - 226 = 0, -4*u + 11216*b + 88 = 11220*b for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 9 = 2*z. Let v = -1 - z. Suppose 0 = v*x - 46 - 2. Calculate the least common multiple of x and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 58 - 55. Suppose x*n - n = 38. Let i = n - 4. Calculate the highest common factor of 120 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6 - -7 - (-13)\/(-2). Let g = y + 16\/3. Let v = 8.6 - 9. What is the third biggest value in g, v, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -161 (base 13) to base 5\nAnswer: -1443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29930\/(-905280) - 1\/96.\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17855 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1 + sqrt(396) + sqrt(396)*-1 + -1 + 3 + 5)**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 45*y**3 - 7*y**2 - 5*y + 2 + 3*y + 2*y**2 + 5*y**2. Calculate x(1).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-1 - -4) + -8 + 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-36) + 29\/9 + -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 0.2 (b) -5 (c) 5 (d) 123 (e) 6.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 7*h**3 + 19*h**2 - 92. Determine i(-3).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 13*t - 1. Let l = 3 - -5. Let h be a(l). Suppose -5*r + h = -21. Solve r = -7*q + 3*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6843 + -6851. Put w, -2, 36 in descending order.\nAnswer: 36, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5*s + 5 = 86, -2*s = -4*w + 306. Does 19 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 55 = s - 65, 0 = -3*t + 12. Solve -s*l = -5*d + 56 - 30, 0 = -4*l - d - 8 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4200 and 197884680.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z - 25. Let i be m(-9). Solve -5*d = s + 5, -s + 4*d - i = -3*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -6*i**2 - 35*i + 32. Let a(k) = k**2 + 3*k - 1. Let d(q) = -14*a(q) - 2*x(q). Does 3 divide d(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-5)*x)**(-4\/27)*((x**(-2\/7)*x)\/x*x)\/x*x*x**(-4\/3) assuming x is positive.\nAnswer: x**(-5\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 60 + -35. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 10:04 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(-6) - 248480\/35520) + 1\/((-2)\/(-16)).\nAnswer: -6\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 910439 is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 - 1) + 8 + -10. Suppose 0 = z + 2*z - 42. Calculate the greatest common divisor of h and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -11*l - 59. What is the smallest value in 3\/10, -3\/7, l, 0.4, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 i when four letters picked without replacement from iubuuuubbib.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - 11*x**2 + 15*x - 15. List the prime factors of d(10).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/((224\/(-150))\/7) and 77\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -207774*j**4 - 445548?\nAnswer: -831096*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5a (base 15) in base 5?\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.0921ng in kilograms?\nAnswer: 0.0000000000360921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/4 - (-45822)\/28. Let u = m + -1107. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21216083 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8213.845734 rounded to the nearest one hundred?\nAnswer: 8200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 486815223?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/56 and 41\/98?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000009547644 to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13\/1226, 5, -0.09, -0.3 in increasing order.\nAnswer: -0.3, -0.09, -13\/1226, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 158301*c*k**3 + 3*c*k**2 - 141*c*k + 147*c - k**3 - 3*k - 1 wrt k?\nAnswer: 949806*c*k + 6*c - 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69328 and 266?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1433?\nAnswer: 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 4. Suppose 2*y + 2*t + 12 = 0, -2*t - 12 - 1 = 3*y. Let d be 0\/(-1)*y*2\/8. Solve 0 = -p*a - d*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - 21. Suppose 5*d + 146 = -3*b - 47, b = -d - 39. Which is smaller: d or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13474, -13211, -12948?\nAnswer: -12685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 9:29 PM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 72 - 65. Solve -5*y = 8 + n for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -12 (b) -0.4 (c) 129 (d) -8\/5 (e) -31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b - 29 + 29 + 14*b.\nAnswer: 20*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -593*h - 27747 = 10386 + 17016 for h.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/210912 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 437, 7, 5, -299 in ascending order.\nAnswer: -299, -3, 5, 7, 437","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r**2 + 3231*r + 30. Let d(z) = -z**2 + 808*z + 8. Give 11*d(m) - 3*h(m).\nAnswer: -2*m**2 - 805*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r**2 + 42*r - 24. What is the remainder when 58 is divided by l(13)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/656 and (-73781)\/(-4920) + -349 + 334?\nAnswer: 9840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 divided by 6078277.\nAnswer: 25\/6078277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 4*g**2 - 48*g + 97. Let y be w(10). Solve -y*h = -18*h - 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2711 and 3.\nAnswer: 8133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -11*d**2 + 336*d - 2262. What is q(17)?\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4132386 divided by 19.\nAnswer: 217494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -28 times 79152.7\nAnswer: -2216275.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b**3 - 137*b**2 + 64*b**2 + 73*b**2.\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8951 to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4396715 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 square root of 535567 to the nearest integer?\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 > -120\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 74 - -676. Let n = g + -2997\/4. Factor -n + 0*l + 3\/4*l**2.\nAnswer: 3*(l - 1)*(l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 34*g**2 - 4889*g - 1033. Calculate j(144).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14124 by 3531.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 12:59 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 291.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -10.6, -1\/2, 8\/59, -1 in descending order.\nAnswer: 8\/59, -1\/2, -1, -10.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p - 504 = -43*p. Suppose -6*d - 3816 = -p*d. Calculate the highest common divisor of 53 and d.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2553 = -46*j + 43*j. Does 37 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1317\/2 - 672. Is l at least as big as -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 - 0.8. Put o, 2\/11, -5 in decreasing order.\nAnswer: 2\/11, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 - 6*v)*(-6 + 6 - 5*v) + 0*v + v**2 + 0*v + (4 - 3 + 1)*(3*v**2 - 5*v**2 + 3*v**2) + 1 - 1 - v**2 as f*v**2 + j*v + a and give f.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-32)\/(-48)*(9 - 9\/3). Suppose -2 = 2*l + 5*z, -4*l = 12*z - 11*z + b. Which is greater: -1.93 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 16*y + 25. What is a(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 4759580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 80\/44 + -3. Let i = -52.909 + -0.091. Let k = 51 + i. Which is the closest to -1\/3? (a) g (b) k (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 83 and 75115?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 40034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128)*3)\/((sqrt(16) - -1*sqrt(16)) + sqrt(4)).\nAnswer: 12*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 5380 - 16031 - 31714. List the prime factors of t.\nAnswer: 37, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 5*w + b - 112, -3*w + 5*b + 92 = 0. Solve -2*l + 7*l + w = -i, l + i = -4 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 220 and 1116610?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 7) in base 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 6*w + 2. Let o be c(6). Let i(s) = 11*s - 11*s - 3*s**o. Let l(q) = -3*q. Give i(l(u)).\nAnswer: -27*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.625212 litres?\nAnswer: 4625.212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 95*t**3 - 10590*t**2 + 25705*t - 9810 = 0. What is t?\nAnswer: 9\/19, 2, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide (-4995)\/(-222)*(-582)\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 510840840 to the power of 1\/2, to the nearest integer?\nAnswer: 22602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of 0*j**3 + 0 - 1\/24*j**4 - j**2 + 0*j. Let w(f) = -3*f**2. Calculate w(m(b)).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/15*(3906\/31)\/(-42)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -166, -625, -1390, -2461?\n\"Answer: -153*b**2 - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -19693520 divided by 9846760?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4443075782?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/((-255)\/(-50)))\/(-2)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13 - -4576?\nAnswer: 4563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-2))\/((-2)\/(-2)). Let t be (1\/1)\/(5\/25). Let a(k) = 4 + k + t*k**2 + 0 - 4. Determine a(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/64 and (-16)\/4160*(-1140)\/8.\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36490, -72977, -109464?\nAnswer: -145951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -2 + -2 - (-2 + 6 + -1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 8 = q - 4*z, 3*z = -9. Suppose 0 = 2*k - 4*k + q. Solve 4*v + 4 = k*m, 5*v - 8 = -5*m - 28 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1434, -2866, -4298, -5730?\n\"Answer: -1432*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -773311005?\nAnswer: -773311011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.6386 - -0.3386. Which is the fourth biggest value? (a) p (b) 1\/45 (c) 3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -176021934071 and 2.67.\nAnswer: -176021934068.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k. Let j(v) be the second derivative of v**4\/3 - 47*v**3\/6 - 835*v - 2. Give j(u(h)).\nAnswer: 36*h**2 - 141*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2*d + 2. Let w be (d\/(-5))\/((-5)\/25). Is -9\/10 greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/40 and -123\/18739540?\nAnswer: 37479080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170876?\nAnswer: 2, 42719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31.10742 + -0.02258. Let s = -31 - j. Let g = s - 0.23. Are 13 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of 3*r**8\/112 + 127*r**6\/120 + r**4\/12 - 394*r**3 - 20*r**2 - 13*r + 1. What is the second derivative of l(z) wrt z?\nAnswer: 180*z**3 + 762*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(16\/6)*4260\/3195. Let t = 61867\/1320 + -375\/8. Which is greater: t or u?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 7*o**2 - 1. Let d be -1*2 - (5 - 6). Let g be j(d). Find the third derivative of g*l**4 + 2*l**2 + l**4 - 4*l**6 - 7*l**4 wrt l.\nAnswer: -480*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -59*q - 3. Is o(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9) + (1*sqrt(324) - sqrt(9)) + sqrt(9))\/(sqrt(75)*2 + sqrt(3) + sqrt(3) + sqrt(3)).\nAnswer: 7*sqrt(3)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -11*i + 1. Let f(z) = 10*z. Let m(v) = -4*f(v) - 3*x(v). What is the derivative of m(r) wrt r?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 8935, -3.\nAnswer: -3, 24, 8935","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 j when two letters picked without replacement from {w: 1, z: 1, u: 1, j: 1, c: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, d: 1, t: 2, h: 2}. Give prob of sequence hha.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1536777 - 5?\nAnswer: 1536772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2720 a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -17181.7 times -1.4\nAnswer: 24054.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*l - 4*l + l)*(0 + 2*l**2 + 0) + (1 - 1 - 3*l**2)*(2*l - 3*l + 2*l) + 2 - l**3 - 2)*((l - 2*l - l)*(-1 + 0 + 0) - 3*l + l + 4*l + 5*l - 6*l + 5*l).\nAnswer: -16*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**3 + y + 1. Let r(w) = 3*w**3 + 92*w - 2. Determine 2*k(h) + r(h).\nAnswer: -h**3 + 94*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 231936374 to the nearest 1000000.\nAnswer: 232000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3121828 and -0.32?\nAnswer: -998984.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -21409 divided by 669\nAnswer: -21409\/669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57140040 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -66? (a) 4 (b) -1 (c) 1\/5 (d) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3*f**2. Let i(q) = 5*q**2 + q - 1. What is 2*i(z) + 5*s(z)?\nAnswer: -5*z**2 + 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -380 - 861*m - 1331*m - 1916*m + 71*m - 1994*m wrt m?\nAnswer: -6031","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -a, -2*c + 5*c + a - 12 = 0. Let d = -17 - -26. Calculate the remainder when d is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7248*x + 7281*x = 1782 for x.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 2*c**2 - 167. Give i(0).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73949?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 - 9*q + 10. Let i be j(8). What is the third derivative of -6*y**5 - y + 4*y**i + y wrt y?\nAnswer: -360*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 405.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 23, 15\/304, 2\/13, 0, -4, 1, 2\/31?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 12) in base 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in thirty-two fifths of a millennium?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1375806791?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 (base 10) in base 3?\nAnswer: -1211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -0.2 (b) 0 (c) -25 (d) 0.06926\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 10*l**2 + 38*l - 17. Let b be y(-13). Sort 3, b, -5 in ascending order.\nAnswer: -5, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-3.744.\nAnswer: -1.872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/6 - -12*(-92)\/(-18). Let o = 125\/2 - l. Which is the nearest to 8? (a) -3 (b) 0 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.06 and -308814.\nAnswer: 18528.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5 - 3) + (-2 - -1). Solve -3 = s + t for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/1291351391?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/5 (b) -2\/21 (c) 0 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.6 + -0.1. Let r = 13\/40 - 1\/5. What is the biggest value in -1, z, r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110 (base 4) in base 12?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 159875869 and 2307?\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 6 and -716\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 6. Let r be 1 - 3 - 2*-1. Let y = 1183.6 - 1183.2. Which is the nearest to r? (a) 5 (b) y (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -38, -48, -58, -68, -78?\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 11:16 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - (1 - 0 - (98 - 97)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -10 - (-1 + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -581*(-8)\/(-224) - -23\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.29 - -0.19. Let p = -0.14 - n. Which is the second biggest value? (a) p (b) 1 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3292244 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 9) in base 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/96*-4 + (-42185)\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/(184800\/19328) + (-126)\/(-35)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 3:15 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**3 - 32*y**2 + 240*y - 2. Let d(o) = -6*o**3 - 54*o**2 + 480*o - 5. Let u(f) = 2*d(f) - 5*p(f). Factor u(j).\nAnswer: -2*j*(j - 20)*(j - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 732 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*h + 15*h - 3 = 2*j, -2*j - 6 = -4*h for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 6*g**2 - 2*g - 11. Let i be b(-6). Is i\/(15608\/(-3122) + 5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1828565 divided by -4.\nAnswer: 1828565\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 997579?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27965 and 6174910.\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 18 = 76. List the prime factors of k.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -v + 10. Let w be -1 - (-4)\/12*v. What is the second smallest value in 4, -0.1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 31, -0.4, 1\/2015043?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56007, 56018, 56029, 56040?\nAnswer: 56051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 285.598790231 - 17?\nAnswer: 268.598790231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of 1\/40*c**6 + 0*c**4 + 0*c**3 + 0 - 1\/20*c**5 + 0*c + 2*c**2. What is the third derivative of h(b) wrt b?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175620544 is divided by 27?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/12 or 0.998063?\nAnswer: 0.998063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 792594946?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26829 and 2136.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11633631.\nAnswer: 3, 3877877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l - l - 1 + 2*l. Suppose -y + 1 = 4. Let g = 3 - 4. Let z(t) = t + 4. What is g*z(b) + y*h(b)?\nAnswer: 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y - 5. List the prime factors of s(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 383129 is divided by 20160?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 233030, 466048, 699068, 932090, 1165114, 1398140?\n\"Answer: k**2 + 233015*k + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of -7\/12*c**4 + 0 - 4\/3*c**3 - 7\/2*c**2 - c - 1\/20*c**5. What are the prime factors of w(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*q*w**3 + 6*q*w**2 + q*w - 73*q + 25*w**3 - 187*w**2 + 79*w - 22 wrt w?\nAnswer: 84*q*w + 12*q + 150*w - 374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -215 + 374. Calculate the remainder when a is divided by 51.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 25*i - 36. What is the hundreds digit of q(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180*r**3 - 44 + 18 - 23*r - 19 + 25*r.\nAnswer: 180*r**3 + 2*r - 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*v, -38*v + 42*v = 5*u - 736. What is the remainder when 4291 is divided by u?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 + 217 - 600 + 383. Let n(b) = -426*b. Determine n(s(v)).\nAnswer: 426*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*n - 37224 = -4*n. What are the prime factors of n?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/14 and -115\/98.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -2780.845 to the nearest 10.\nAnswer: -2780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + p = 7*s - 850, 2*p = 3*s - 848. List the prime factors of s.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-418)\/(-99) + (-18)\/81.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + (-30)\/2)*-3. Suppose r - f = -4*r. Let k = 14 - r. What is the highest common factor of 25 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -2*b**3\/3 - 2*b**2 - 6*b - 887. Let p(w) = 4*w**2 + 7*w + 11. What is 3*p(d) + 5*t(d)?\nAnswer: 2*d**2 + d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (11 - 2)\/(5 + -4). Let b = 15 - n. Let r be (-1)\/(-2)*(-4 + b). What is the third smallest value in 2, r, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2 - 30*x - 1 + 2. Suppose 0 = -5*r - 3*u - 19, 3*r - 2*u + 17 = -u. Is h(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - 6*t**2 + 7*t - 2. Suppose 2*v - 8 + 0 = 0, 5*v = -2*f + 30. Let d(i) = i**2 - 4*i. Calculate the remainder when a(5) is divided by d(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1800 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3*o + 9 + 4*o**3 + o**2 + 0*o**2 + 4*o - 3*o**3. What is h(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.169 rounded to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 4 = 2*s + 1, -16 = -4*s for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4*v - 21 = 21, v = 3*l - 68. Let r = -14 + l. Suppose -4*w + 5*u = -7, 3*w + 5*u = 12 + 2. What is the greatest common divisor of r and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(520) - ((sqrt(520) - (sqrt(520)*-1*3 - sqrt(520))) + sqrt(520) - sqrt(520)))\/(2*sqrt(810)))**2*5.\nAnswer: 1040\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i**2 + 23*i + 6. Give q(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53194930?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2*w - 10 = 0. Suppose w*t - 221 = -4*j + 9, -5*t + 3*j = -601. Suppose -c - p = -5*p - t, 4*c - 458 = -2*p. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 34, 58, 102, 166, 250, 354?\n\"Answer: 10*i**2 - 6*i + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-123*v - 69 - 74 + 143)*(8 + 4 + 4) to the form g + c*v and give c.\nAnswer: -1968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19\/9, 0.3, -4, 5 in ascending order.\nAnswer: -4, -19\/9, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-2 - -1 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90375931?\nAnswer: 41, 113, 19507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -10 + 4*(-1)\/(-2). Let v = -3 - p. Suppose -z - z + 6 = 0, 17 = o + 5*z. Which is the second biggest value? (a) v (b) 1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276 a factor of 60444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 176, 292, 406, 518?\nAnswer: 628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**(1\/2)*n))**47\/((n*n**(1\/25)\/n*n*n)\/(n*n\/n**(-7\/4))) assuming n is positive.\nAnswer: n**(-6879\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -6*v + 23. Let h(j) = j**3 + 7*j**2 + 3*j - 7. Let i be h(v). What is i rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - d**3 + 8*d**2 - 2 - 2*d**2 in the form h*d**2 + p*d + g + s*d**3 and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1149 - -11.567859173.\nAnswer: 1160.567859173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -754 (base 14) to base 8.\nAnswer: -2646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 797430581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of c**6\/360 - c**5\/30 - c**3\/3 - 1. Let v(y) be the third derivative of r(y). Suppose k - 3 = 2. What is v(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 79184 - 79144. Suppose 0 = -3*u + 205 + 26. Calculate the remainder when u is divided by y.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 39*d + 4. Let x be 74\/14 - (-2)\/(-7). Is b(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 476310243 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 2:43 AM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 195, 3118, 11063, 26544, 52075, 90170?\n\"Answer: 419*x**3 - 3*x**2 - x - 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 805408241?\nAnswer: 11, 31, 653, 3617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -6*x + 5*x. Suppose -2*g + 5*g - 12 = -4*l, x*g - l + 3 = 0. Suppose g = 2*f - 4*n + 1 - 5, -f + 9 = 5*n. Let a(z) = -z**2 + 2*z + 3. Give a(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 33220 - -2?\nAnswer: 33222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -7*v**2\/2 - 14. Determine c(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-5) - (2 - (-196570836)\/35). Let j = v + 20116312. Round j to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 408 - 403. Which is the nearest to -2\/7? (a) s (b) -31 (c) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7630351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 a factor of 1968696850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 884 is divided by 74?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 >= -243\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1947243 is divided by 648877.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 58759.2 and 0.222.\nAnswer: 13044.5424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 9308, -4935, -19178?\n\"Answer: -14243*v + 23551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -1.523\nAnswer: 0.4569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42763, 44544, 46327, 48112, 49899, 51688, 53479?\nAnswer: 55272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 199.4 + 1.6. Let z = t - 157. Sort 3, -0.5, z.\nAnswer: -0.5, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-188)\/(-752) - (-1044)\/48\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51929864461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 328558 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**3\/7 + 15416*z**2\/7 - 31938400*z\/7 + 1204720000 = 0.\nAnswer: 308, 3700","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -21. Suppose 12*n - 9*n - 36 = -3*r, 2*n = -2. Calculate the greatest common divisor of r and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.37 rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -98396502 divided by -111057\nAnswer: 886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -24563 - 35*f + 21080 - 12*f**2 - 134*f**2 wrt f?\nAnswer: -292*f - 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 j when three letters picked without replacement from {f: 2, s: 1, u: 1, j: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13936950 is divided by 5684?\nAnswer: 5466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 19*p**2 - p - 14. Let o be q(19). Let s = -32 - o. Let l = 3 - 2. Calculate the remainder when s is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 5 = 0, -5*m + 76 - 56 = z for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 2*s + 408, 5*c - 4*s = 198 + 218. Is c\/4*(-44)\/(-10) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 4*v**3 + 107*v - 97*v - 2*v**3 to g*v**3 + b*v**2 + y + j*v and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 15*u + 16*u - 56*u + 11*u + 15*u. Let o(k) = 2*k - 3*k + 7*k. Determine o(s(x)).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -1. Suppose 18 = r*y - 22. Let g be -2 + 35 - -5 - -2. What is the highest common divisor of g and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p + 2*p - p + (-p + 5*p + 0*p)*(-2 + 0 + 0) + 2 - 2 + 3*p - p + 2*p - 3*p.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1)*c)**(5\/4)*c**5\/(c**(1\/15)\/c) assuming c is positive.\nAnswer: c**(89\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -65?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from unnuuncnunnoe. What is prob of picking 2 n and 1 e?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -163867 - -336480. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 395439.\nAnswer: 3, 11, 23, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + o + 1. Let i = 1 + -2. Let l(n) = -n**2 - 4*n - 4. Let b be l(-4). Let y(g) = -2 + 1 - 4*g**2 - g**2 - 3 - 4*g. What is b*q(x) + i*y(x)?\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of 0*j + 0*j**2 + 10\/3*j**3 + 6. Let d(y) = -2*y. Let h(i) = -4*i. Let t(p) = 5*d(p) - 2*h(p). Calculate t(b(s)).\nAnswer: -20*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 17214 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 26.\nAnswer: 1, 2, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 314 + -681. Let f = -123 - q. Does 7 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -9. What are the prime factors of (-12)\/(-8)*d*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1711, -4909, -10215, -17629?\nAnswer: -27151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103133.\nAnswer: 151, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4) - (sqrt(4) - (sqrt(4) - sqrt(12)\/(sqrt(3)*-2 + sqrt(3))))) + sqrt(4) + sqrt(4))\/sqrt(2) - ((sqrt(2) + 5*(1 + sqrt(2)))**2 + -3).\nAnswer: -94 - 56*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, n: 4, o: 11}. Give prob of picking 1 o, 2 g, and 1 n.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 53*b**2*y**5 + 318*b**2*y**2 - 33*y**6 - 2*y**2 wrt y?\nAnswer: 3180*b**2*y**2 - 3960*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 220*x = -449*x + 225*x + 208, -5*o + 250 = 3*x for o.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44727 is divided by 641.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, g: 3, t: 6, z: 1}. What is prob of sequence jgz?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 280, 1080, 2352, 4048, 6120?\n\"Answer: -8*n**3 + 284*n**2 + 4*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 11:51 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -19*s + 0 - 1\/6*s**3 + 5\/2*s**2. Give y(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2031\/(-3))\/((1 - 1) + -1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144 - 88 = -14*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence elo when three letters picked without replacement from {p: 1, i: 1, o: 1, l: 1, e: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 3*o = 2*r - 117, r = -5*o - 55. Let d = r + 11. Calculate the lowest common multiple of 1 and 6\/16 - 15\/d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 3.7?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - l**3 + l + 66*l**2 + 2*l**3 - 10 - 65*l**2 in the form m*l**2 + b + q*l**3 + s*l and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6189083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1415410 - 423?\nAnswer: -1416033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 50484 + 85.31803.\nAnswer: 50569.31803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15709 and 7199.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**2 + 240*z + 604418 = 0.\nAnswer: -493, 613","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + k**2 + 0)*(-146*k**2 + 138*k**2 + 124*k**2).\nAnswer: 116*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 + 9*u - 14. Calculate h(13).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2*m = -265. Let v(d) = 3*d - 9. Let r be v(7). Let p = r - -2. What is the remainder when m is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -89*g - 2. Let m(q) = -19*q**2 - 2*q - 98. Determine m(l(o)).\nAnswer: -150499*o**2 - 6586*o - 170","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**3 + 6*h**2 - 6*h + 5 - h**3 + 2*h**3. Let f be c(5). What is the closest to f in -3\/2, 0.4, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 6, 0 = m - l - 7. Suppose 3*y - 24 = y. Let h be (48\/320)\/(y\/m). Is h not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 191, -89, -369?\n\"Answer: -280*t + 471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 10 = 5*c, -c - 4*i + 4 = 2. Suppose 0 = -z - 3*v - v - c, 4*v = -3*z + 2. Let f = -6 - -20\/3. Is z at most f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-2\/3)*n)**(1\/44)\/(n*n*n**(-2\/7))**(-28)*n\/(n\/n**7)*n\/(n*n**(-1\/10)\/n)*(n\/((((n**8\/n)\/n)\/n)\/n))\/(n\/n**(-9)) assuming n is positive.\nAnswer: n**(14233\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.07, -3, -0.2?\nAnswer: -1.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 6. Is 7 a factor of (-40)\/c - 11\/(-33)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - -1) + 9 + -15.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 3*j**2 - 3*j - 5. Let i be r(4). Let f = 0 + i. What is the units digit of -4 - -2 - (-5 - f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -12.1. Let t = -0.1 + a. Sort -2\/7, 1\/3, t in ascending order.\nAnswer: -2\/7, 1\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 90 - 148. Let p = c + 56. Sort p, 0.5, -7, 1 in ascending order.\nAnswer: -7, p, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 2*l + 35 - 19, -k = -4*l + 17. Suppose -2*z + 1430 = 2*f + 70, 1365 = 2*z - k*f. What are the prime factors of z?\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*u**3*z**2 + 79*u**3*z - u**2*z**2 - u*z**2 + 245*u wrt u?\nAnswer: -12*u*z**2 + 474*u*z - 2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(0 + sqrt(684)))**2 - (-1 + sqrt(2299)*3).\nAnswer: -33*sqrt(19) + 2737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g**2*z**3 - 84417*g**2*z - 239204*z**3 wrt z?\nAnswer: -12*g**2*z - 1435224*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-1.856.\nAnswer: -9.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.442802 or -1.59?\nAnswer: -1.59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28050, -1, 2 in increasing order.\nAnswer: -1, 2, 28050","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.239 (b) -322.2 (c) 4 (d) -0.2 (e) 1 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1012238.\nAnswer: 2, 506119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 2*x + 43. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 2590?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 478914.\nAnswer: 2, 3, 19, 4201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*a**3 - 40*a**3 - 60*a**3 + 104*a**3.\nAnswer: -41*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1001)\/(-2310) + (-11 + 9)*2\/8.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4*-6)\/((-13)\/31018). Is ((-1)\/3)\/((-16)\/b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 85, 315, 693, 1219, 1893?\nAnswer: 2715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14579?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -7*l**3 + 4*l**2 + 12*l - 14. Let y(d) = -7*d**3 + 3*d**2 + 12*d - 16. Let h(i) = 6*q(i) - 5*y(i). Factor h(p).\nAnswer: -(p - 2)*(p + 1)*(7*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 31 - 9. Let s = 6 - 12. Let u be a\/s*1\/2. Is u > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 17\/5 - (-4)\/(-10). Suppose 225*w + 5214 = 214*w. Let n = -450 - w. Calculate the highest common divisor of u and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.17, -2, 1, -0.3, -3 in ascending order.\nAnswer: -3, -2, -0.3, -0.17, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -395776 + 0.5\nAnswer: -395775.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 44*f**5\/3 + 178*f**4\/9 - 112*f**3\/3 - 30*f**2 + 176*f\/9 + 40\/3 = 0. What is f?\nAnswer: -2, -15\/22, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*o - 11*l = -9*l + 112, -o + l = 2 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a07 - 163?\nAnswer: 864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2578967 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/((-21)\/4) + 21\/(-4032)*232?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 35 = n + 3*w, 4*w - 20 = 0. Calculate the common denominator of (-446)\/(-30) - 4\/n and 21\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 50 + -46. Let o = 13 - c. Which is smaller: o or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*c + 66*c + 4*c - 39*c.\nAnswer: -11*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 3*n**2 - 3. Let t be x(-3). Let y be ((-1)\/(-9))\/((-1)\/t). Factor 2\/3 - y*k**3 - 5\/3*k + 4\/3*k**2.\nAnswer: -(k - 2)*(k - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68266.\nAnswer: 2, 11, 29, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 99 + -494\/5. Let l = -34 - -33.8. Let r = 0.1 - l. Which is the second smallest value? (a) t (b) r (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f + 1. Let c be -5 + (-1 - -3) + -3. Let o(t) = -2*t - 9. Let y be o(c). Let l(g) = -5 + 36*g + y - 37*g. What is -l(v) - 3*p(v)?\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of 49240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 10*x - 3. Let r = -44 + 40. Let u be q(r). What is the second derivative of -7*o + u*o**5 + 3*o**5 - 18*o wrt o?\nAnswer: 480*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rn when two letters picked without replacement from {e: 1, h: 1, r: 2, x: 1, n: 1, g: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, q: 8, w: 2, l: 1, i: 3, f: 3}. Give prob of sequence ifl.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 k, and 1 e when three letters picked without replacement from {n: 6, k: 1, e: 2, u: 3, b: 1}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195763?\nAnswer: 163, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-40)*-6)\/(1122\/(-155584))\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 279 by 499825.\nAnswer: 279\/499825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5313, 10661, 16219, 21987, 27965, 34153?\nAnswer: 40551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 225 - 3a00?\nAnswer: -37a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -5. Let t = 113 + -112.945. Let l = -8.055 + t. Sort -4, j, l, 0.1 in increasing order.\nAnswer: l, -4, 0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - (-1)\/14*-10. Let t = -0.068 + -0.132. Which is the third smallest value? (a) x (b) t (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 108, 242, 466, 780, 1184, 1678?\nAnswer: 2262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 + 1\/1 + -4. Suppose l*h = 4*c - 14, -18 = -5*c + h + h. Suppose -a + c = a. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 210\/(-45)*3\/2. Let j be (5\/3)\/(b\/(-30)). Let c be (16\/10)\/((-210)\/(-50) - 4). Which is bigger: j or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6\/(-90))\/1)\/((-7)\/21).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.298 + 1.298. Let i(u) = u**3 + u**2 - 1. Let d be i(0). Which is the nearest to x? (a) -1\/2 (b) d (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 14) in base 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x**3 + x**2. Let z be p(1). Let s be -1 - (-10)\/25 - (-9)\/15. Solve z*w - v + 20 = s, 0*w = -4*w - 2*v - 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -40116 + 22416. Round w to the nearest one thousand.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -141897 divided by 203.\nAnswer: -699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -6*o + 2. Let d(r) = -5*r + 2. Suppose 8*q = 3*q - 20. Give q*d(i) + 3*c(i).\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2092, -16682, -56290, -133426, -260600, -450322, -715102, -1067450?\nAnswer: -1519876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.73 rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 164*z = -162*z - 23, -2*m - 3*z = -6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17*c**2 + 70 - 70)*(-15*c + 7*c - 4*c) to the form w*c**3 + p + f*c**2 + n*c and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*f - 5472 = -1260. Calculate the remainder when 324 is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 362 and 4163?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -p**5\/10 - 45*p**4\/8 + 202*p**3\/3 - 261*p**2 + 424*p - 5231. Factor d(r).\nAnswer: -(r - 4)*(r - 2)**2*(r + 53)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 741.4282 millimeters?\nAnswer: 741428200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 j when three letters picked without replacement from {j: 2, v: 6}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w - 12 = -14*w. Let s(n) be the third derivative of 1\/2*n**3 + 0*n + 0 + 0*n**6 - 2\/105*n**7 + 0*n**4 - 9*n**w + 0*n**5. Differentiate s(x) wrt x.\nAnswer: -16*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1\/3)\/(j*j\/j**1*j)*((j\/(j\/(j**(-5\/4)*j)))\/j)\/(((j*((j**1\/j)\/j)\/j)\/j)\/j) assuming j is positive.\nAnswer: j**(-7\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**3 - 2*p**3 - 2*p**3)*(-4 - 2*p + 4) + 4*p**4 - 4*p**4 - p**4 + (-2 + 0 - 2)*(p**4 - 1 + 1).\nAnswer: -3*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163597347.\nAnswer: 3, 829, 7309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20700100 is divided by 106.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (6 - 8) - 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fl when two letters picked without replacement from fllkq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*r = 2*i - 24*r - 261, -i + 4*r + 134 = 0. Suppose 2*t + i = 3*t. What is the remainder when t is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 75 - 60. Calculate the remainder when 0 + 58\/1 + 0 is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -0.221, 3, -3\/2, 0.2, -5, -4, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 240728316 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.918052106 less than 0.67674?\nAnswer: -0.241312106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n - 8. Suppose -7 = 2*o + 11. Suppose -2*v - 9 = -v. Let w = v - o. What is s(w)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y - y + 3*y + (-2*y - y + y)*(0 - 2 + 4) + 3*y + y - 2*y + 4 + y - 4 - 2*y - y + 5*y)*(-y**3 + 4*y**3 + 0*y**3).\nAnswer: -3*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*g - 7 - 58 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h**3 - h**3 - 4*h**3)*(2 - 4 + 3) + 74*h**2 - 22*h**3 - 74*h**2 + (2*h - 1 + 1)*(4*h**2 - 4*h**2 + 3*h**2).\nAnswer: -17*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 54314?\nAnswer: -3\/54314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 3 - 9. Let f be 30\/(-4) - p\/8. Let r be (3\/(-6))\/(f\/98). Calculate the highest common divisor of r and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 36 - 11 = 0. Let d be 148\/20 + (-3)\/b. Solve 2*m - 4*f = d, 0 = 2*m + 5*f + 14 + 5 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*(104\/30)\/(12\/(-30)). Let g = u + -34. Let z = 25 + g. What is the remainder when 32 is divided by z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -7*s**3 + s**2 - 1. Let z be u(1). Let k(n) = -n**2 - 8*n - 3. Let m be k(z). Solve 4*v**4 - 3*v + 3*v - 2*v**3 + v**5 - 3*v**m = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7405 to the power of 1\/2, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of 2*k**7\/105 - 19*k**6\/30 + 16*k**5\/3 + 50*k**4\/3 + 71*k**2. Factor u(m).\nAnswer: 4*m*(m - 10)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) 0.01 (b) -4 (c) -3 (d) -38 (e) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 222.186 - 222. Let j = 0.086 - i. Which is smaller: 0.1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(91) + sqrt(91) + 2*sqrt(91) + sqrt(91)))\/(sqrt(7) - sqrt(28)\/sqrt(4)*3)*4.\nAnswer: -60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 3*k - 2*u - 1864, -4*k = -u - 2486. What is the hundreds digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwcccwwjwcwwwjj. Give prob of sequence jjj.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 483172 is divided by 28420.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0318875156665 take away 4?\nAnswer: -4.0318875156665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -776 + 780. Suppose -5*q + 2*x = -3296, 21*q + m*x = 24*q - 1972. Is q a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-336)\/119 - (-14 - -3)?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -49490*w - 1484701. Give z(-30).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 9, e: 3}. Give prob of picking 1 e and 1 m.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**2 - j**3 + 0*j**2 + j**2 - j**3 + 3*j**3 + 0*j**3 + (-2*j + 2*j + j**3)*(2 - 2 - 1) - 27*j**3 - 34*j**3 + 58*j**3 - 3*j**3 - 2*j**3 + 4*j**3.\nAnswer: -4*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74343799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 9:36 AM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5054 + -1?\nAnswer: 5053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 115*u**2 + 1898*u - 976. Give n(-17).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 4. Suppose 20*g - 95 = 15*g. Suppose 5*j - 7 = -4*a, -5*j - 3*a + 5*a = -g. Solve 3*z = j, 0 = -5*d + 4*d - p*z + 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + 2*g - 2*g)*(0*g - g + 0*g + (g - 7*g + 4*g)*(4 + 1 - 7) - 2*g + g + 2*g - 630*g - 516*g + 986*g).\nAnswer: -312*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -13*a**4 + 3*a**3 - 22*a**2 + 4*a + 2. Let t(q) = q**3 + q**2 + q + 1. Let x(d) = c(d) - 4*t(d). What is the third derivative of x(g) wrt g?\nAnswer: -312*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 43*q**2 + 4446*q + 21275. Determine b(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -p**7\/7 - 10*p**4 - 5*p**3 - 2*p**2 + 1633*p. What is the second derivative of v(r) wrt r?\nAnswer: -120*r**3 - 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-15)\/t**9)\/(t**(2\/11)*t\/(t\/(t**(1\/3)*t))))**(-2\/5) assuming t is positive.\nAnswer: t**(1684\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 1960868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n**2 + 6 - 6 + 3*n)*(-4*n + 6 - 2 - 2) as s*n + l*n**2 + m*n**3 + k and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11002 (base 4) to base 16.\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010 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: What is the greatest common factor of 176 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4938 or 14810\/3?\nAnswer: 4938","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1\/6 (b) 0.4 (c) 5 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 28. Suppose 0 = 5*c + m, -3*c = -5*a + 383 + 148. Suppose -2*v + 17 = -13. What is the greatest common factor of v and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -958, -960, -964, -970, -978?\n\"Answer: -x**2 + x - 958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 10 = f, -3*f - 6 = p. Solve -4*y - 1 = -s + 2, p = -4*s - 20 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -5*l**4\/4 + 25*l**3\/3 - 35*l**2\/2 + 15*l + 171. Factor p(g).\nAnswer: -5*(g - 3)*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + 33*o**2 - 5*o + 80. Let y(j) = 2*j - 115. Let u be y(41). Let a be m(u). What is the highest common factor of a and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 + 26 + -6 + 7 + (10 - 5) + -30.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 13*r - 1433. Give n(115).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of 2*m**3\/3 + 288. Let a(z) = -3*z - 2. Calculate g(a(f)).\nAnswer: 18*f**2 + 24*f + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*f - 185935 - 186306 + 371001 as l + c*f and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/2043 and -83\/73548.\nAnswer: 73548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 277 = 2*f + 79. Solve -28*r + f - 155 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224414*a - 224655*a - 33017 = 0 for a.\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*v + 30*v + 9240 = 0. Is (44\/(-55))\/(-2)*(0 - v) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 + z - 5)*(-1 + 4 - 2).\nAnswer: z - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3307? (a) 3.9 (b) 5\/4 (c) -1\/6 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -207\/20 - -40819\/3940. Is -1\/15 < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -270270*z**2. Let y(c) = -c**2. What is o(y(l))?\nAnswer: -270270*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 2)*(-2 - 2 - 1)*(2*c - 4*c + 0*c) + (0 - 1 + 0)*(-14*c - 26*c + 61*c).\nAnswer: -11*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -895*f**2 - 336*f**2 + 401*f**2 + (4 - 4 - 2*f**2)*(0 - 1 + 3) - 3*f**2 + 0*f**2 + f**2 + f**2 - 5*f**2 - 5*f**2.\nAnswer: -845*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r - 3*a - 9, -20*r + 4*a = -15*r - 5 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000433 to 7 decimal places.\nAnswer: 0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - d + 285 = 0, -d + 20 = 3*d. Let x be ((-32)\/c)\/(4\/14). Solve -2*r = -4*g - x, 2*g + 2 = 3*g for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164*x + 2 = 4*a - 162*x, 22 = -a - 3*x. Solve 0 = a*v + 7 - 17, v = 3*s - 13 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.17 - 0.57. Put l, -1\/4, 3\/2 in increasing order.\nAnswer: l, -1\/4, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2027992383?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 9 - ((13 - 4) + -2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 5, p: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 - -27 - (0 - 23)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 0*o + 3*o = 0. Suppose o = 18*f - 24*f + 1476. List the prime factors of f.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1552?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26\/667 + 14029\/240120. Let u(q) be the third derivative of 0 + 0*q**3 + 5\/72*q**4 + h*q**6 - 24*q**2 + 11\/180*q**5 + 1\/630*q**7 + 0*q. Factor u(d).\nAnswer: d*(d + 1)**2*(d + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(1\/2*150\/(-750))?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 4*h - 25 = 0, -4*t = -2*t + 3*h + 13 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -321, 2.5, 1\/5 in descending order.\nAnswer: 2.5, 1\/5, -321","meta":{"dup_signals":{},"source":"comparison__sort_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: What is the third derivative of -h**2*w**3 + 2*h**2*w**2 + 17*h**2*w + 2*h**2 - 10256*h*w**3 - 40*h*w - 982*w**3 + 6490*w**2 wrt w?\nAnswer: -6*h**2 - 61536*h - 5892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -16026895 divided by -4\nAnswer: 16026895\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 10) in base 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -4. Suppose 11 - 3 = -2*c. Let w be (-38)\/(-84) + c\/6. Which is greater: w or b?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.02 - 0.026. What is q rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 17 = -102. Let k(o) = o**2 - 8. Let c be k(6). Let y = c + p. Calculate the remainder when 32 is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.1 + -0.1. Let x = -2 - o. Let p = -2 - -4. What is the closest to x in p, 2\/3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 + 7*g**3 + (g + 4*g - 3*g)*(3*g**2 - g**2 - g**2) to the form z*g + x*g**3 + u*g**2 + o and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 111961 + -130?\nAnswer: 111831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + 3. What is the remainder when 98 is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 8:08 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5115740 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -86079666*w - 145748437 with respect to w.\nAnswer: -86079666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 275887560.\nAnswer: 2, 3, 5, 13, 17, 101, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.54 - -3.86. Which is bigger: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-189306)\/(-273) + 2\/7*2?\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-3 - (10 - 19)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 429936*k + 429936*k + 5*k**2 - 859872*k + 0*k**2 + 0*k**2.\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2546556 (base 8) to base 14\nAnswer: -145ddc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 234*j + 7. Let w(m) = -467*m - 16. What is -7*k(a) - 3*w(a)?\nAnswer: -237*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - j - 5. Let y(d) be the first derivative of d**3\/3 - 5*d**2\/2 + 7*d - 2. Let s be y(5). Is q(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from eeeeeeeh.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4581, 19129, 43477, 77625, 121573, 175321, 238869?\n\"Answer: 4900*n**2 - 152*n - 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4818 * -16.6.\nAnswer: -7.99788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -5*w + 251, 0 = 2*f - 11*w + 15*w - 472. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ajjujquj. What is prob of picking 1 a and 1 u?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -570 + 5?\nAnswer: -565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*r - 5651 = -1667. Find the third derivative of r*x**5 + 13*x**2 + 111*x**2 - 42*x**5 + x**2 wrt x.\nAnswer: 2460*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20121222200 + 2?\nAnswer: 20121222202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -217 in -1\/5, -1\/7, 1\/9, -2\/17, 3\/2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 24458 and -58?\nAnswer: -1418564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + k = -3*s + 24, 2*k + 10 = 4*s. Put s, 2, 1, -22 in descending order.\nAnswer: s, 2, 1, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wivfvviv. What is prob of sequence iw?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14308.\nAnswer: 2, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 278 * 1.073892\nAnswer: 298.541976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(171) - sqrt(19)) + -6*(-1 + sqrt(19)) - (-3*(sqrt(19)*-1 + sqrt(19)) - 5*(sqrt(19) + 0 - sqrt(19))))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1234640\/103 not equal to -11988?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 523 - 431 = 23*q. Solve 8*d - 7*d - 3*b = -13, 4*d + 28 = q*b for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - (-69 - -44)) + (7 - 4) + 56.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z**2 - 49*z + 20. Let o be j(16). Let d(g) = -3*g. Let m(y) = -7*y. Determine o*m(q) - 10*d(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 7*y**2 - 10*y + 11. Give f(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*w - 48 = 136*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - 9*x - 5. Let c(d) = -2*d**2 - 2*d. Let i be c(-1). Suppose 6*q - 5*q + 6 = i. What are the prime factors of j(q)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 1:03 AM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/13*g**2 + 2\/13*g**3 - 2\/13*g - 2\/13.\nAnswer: 2*(g - 1)*(g + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2978419 to the power of 1\/2, to the nearest integer?\nAnswer: 1726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3252 = f + 3*p - 3251, -4*f - 2*p = 14 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1044 divided by 2.\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3749460 by 96140.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*y**2\/19 - 8234*y\/19 + 1831050\/19.\nAnswer: 2*(y - 325)*(4*y - 2817)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1633261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 8*m + 8*m**3 + m**3 + 7 - 11*m. Let s(y) = -10*y**3 + 4*y - 8. Let f(n) = -4*l(n) - 3*s(n). Differentiate f(t) with respect to t.\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -106, -121, -136, -151?\n\"Answer: -15*x - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -9669072.272 to the nearest 100.\nAnswer: -9669100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 16 = 0, 19*n - 2*n + v + 32 = 10*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 45494479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2211 + 10201?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i**3 - 5*i**2 - 2*i + 6. Let c be w(-3). Calculate the remainder when 15 is divided by c\/4 - 2\/(0 + 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 8*a. Suppose w - 16 = 3*w. Let s(n) = -3*n. Let t(z) = w*s(z) - 3*v(z). Let l(b) = -22*b + 69*b - 21*b - 22*b. What is t(l(k))?\nAnswer: -48*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 11 = 3*i, -3 = 2*i + 5*g + 5. Suppose -i + 6 = -n. Let h = n + 8. Solve 6*x - 12 = h*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -128 divided by 16?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*9*(-917)\/(-1048)*(-12)\/21?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t**3 - 117372*t**2 + 234760*t = 0. Calculate t.\nAnswer: -29345, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -11*w**7\/42 - 7*w**3\/6 - 11*w. Find the second derivative of d(r) wrt r.\nAnswer: -220*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 8 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*x = 5*o - 135*x - 84, -4*x = -o + 68 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -416 + 65 - 12*z - 135 + 13*z in the form t + l*z and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -19326*f**4 + 3*f**5 + 2*f**5 - 3*f**5 + 14*f - 16*f**3 + 19299*f**4 + 27*f**2 = 0.\nAnswer: -1, -1\/2, 0, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, d: 1, y: 1, n: 5, o: 5, u: 1}. What is prob of picking 1 y and 1 u?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 l when four letters picked without replacement from mbmlnmmllnbmnml.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**2 - 5*h + 14. Let g(m) = -3*m**2 + 8*m - 21. Suppose -2*p - 18 = -6*p - a, -5*a - 35 = -5*p. Let s(t) = p*g(t) + 7*l(t). Determine s(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 + -55. Let t = -16 - h. What is the smallest common multiple of 3 and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -16*w + 102. Let y be f(6). Suppose -859 + 835 = -y*j. Sort 2, -1, j, -16 in decreasing order.\nAnswer: j, 2, -1, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-5)*p*((p**(2\/5)*p)\/p)\/p)\/(p*p**(-2\/3)*p*p*(p\/((p**2\/p)\/p))\/p))**15 assuming p is positive.\nAnswer: p**(-104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -200*-1622.\nAnswer: 324400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -50596 <= -50594?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 545 + -496. What is the remainder when 150 is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1201.3764 and -0.1.\nAnswer: 120.13764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -75*a + 160. Let f be z(2). Let m(p) = 4*p - 28. Give m(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/3648 and 145\/30192.\nAnswer: 2294592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/13 (b) -0.5 (c) -5 (d) 1\/6 (e) -1284\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36186636 to the nearest integer?\nAnswer: 6016","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(1\/18)*d))\/d)\/((d\/d**(2\/5))\/d)*((d*d**(-4\/9)\/d)\/d)**(-25) assuming d is positive.\nAnswer: d**(3191\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 225*f**3*u**2 + 9*f**3 - 2*f*u**4 + 3*f*u - 2*u wrt u.\nAnswer: 450*f**3 - 24*f*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-43)\/63 + (-10352)\/(-18116)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 579, 1160, 1739, 2316, 2891?\n\"Answer: -j**2 + 584*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 65*m - 1164. Let f be x(18). Solve f*b - 63 = -57 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/145? (a) 3\/5 (b) 5 (c) -1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 974 + 6.1\nAnswer: 980.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 5*n**2 + n - 5. Let y be k(5). Suppose 2*m + 2*l - 46 = -14, 5*m - 3*l - 48 = y. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 6*a + 79. Let t be n(-13). Sort 4, 0, t in decreasing order.\nAnswer: 4, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 6. Let v = -12 + t. Let s = v + 11.92. What is s rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1\/6 (b) 3 (c) 8.75 (d) -115\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.121 - 19.679. Let l = y - -20. Suppose -5*q - 15 = -0*q. Which is the nearest to l? (a) -0.3 (b) 2\/7 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201220 (base 4) to base 13.\nAnswer: -c97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 934 is divided by 93?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2. Let z(o) = 5*o**2 - o + 2. Let k(d) = -4*q(d) + z(d). Let p(b) be the first derivative of k(b). Let x be -1 + 4\/2 + 0. Give p(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 - l - 7. Let g(q) = -2*q**2 - 2*q - 15. Calculate -3*g(y) + 5*h(y).\nAnswer: y**2 + y + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 380.4 plus -4.7?\nAnswer: 375.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.883374g in nanograms?\nAnswer: 4883374000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 7*w = 8*w, 0 = 2*g - 2*w. Which is the nearest to g? (a) -8\/19 (b) 1\/3 (c) -1 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jg when two letters picked without replacement from {j: 1, e: 4, o: 4, r: 1, g: 1, c: 3}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1230362664 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1.02 * 22152\nAnswer: -22595.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (7*-64)\/(7\/189*-6) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3454*3\/7623 + (10\/105)\/1?\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -20*1 - (-6992)\/(-437)) + 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 44055\/(-890)*(80\/(-12))\/(-10)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c + 6 - 3*c - 5*c + 3*c as o*c + b and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -6*r**3 - 25*r**2 + r + 22. Let n(t) = -t**3 - 5*t**2 + 4. What is 2*g(w) - 11*n(w)?\nAnswer: -w**3 + 5*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -394, 4, -1 in ascending order.\nAnswer: -394, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*g = -78*g - 80. Let y = -0.03 + -0.07. Let d = y - -1.1. Which is smaller: d or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -329089401 - 21.\nAnswer: -329089422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 320\/240*(-6)\/22.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 98\/5 + -1171\/60. Let f(n) be the third derivative of -q*n**5 + 0 - 5\/8*n**4 - 5\/3*n**3 + 0*n - 7*n**2. Determine l so that f(l) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, k: 1, l: 6, f: 5, a: 1}. What is prob of picking 1 l, 1 f, and 1 x?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -10 + (12 - (9 - 7))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 136 + -131. What is the nearest to -0.2 in 3.4, -4, p?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 921.0136 centuries to years.\nAnswer: 92101.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**2\/3 + 7059596*o - 21178789\/3 = 0 for o.\nAnswer: -21178789, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -67*i - 10 + 57*i + 0 to f*i + y and give y.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 195866800 to the nearest 1000000.\nAnswer: 196000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -8*t**3\/7 - 1153218*t**2\/7 + 4324688*t\/7 + 1153248\/7 = 0.\nAnswer: -144156, -1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jvj when three letters picked without replacement from jjjjjjjvjvjjvjvvjv?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -69*r - 39. Let g be i(-5). Let s = g - 288. Suppose -3*m + 2*w = -19, -5*m + 4*w = -16 - 13. What is the lowest common multiple of s and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -u**5\/10 + u**4\/12 - u**3\/3 + u**2\/2 + u. Let t = 4 - 3. Let j be (0 + t)*(-6 - -7). Calculate a(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3199032578 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*i = -11, g - 2*i - i - 1 = 0. Calculate the common denominator of -13\/11 and ((-102)\/g)\/(1 + 1).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -2*p**7\/21 - 4*p**6\/45 + 2*p**5\/5 + 4*p**4\/9 - 2*p**3\/3 - 4*p**2\/3 + 25*p. What is x in f(x) = 0?\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + s + 3, 2*s - 58 = 5*a. Let u be -1*(2 + -2)\/(a\/(-6)). Solve 15 = -k - u*w + 3*w, -w = -4 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3261721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 3*x - x, -5*k = 5*x + 50. Let r = 3.06 - 0.06. Suppose 2 = 2*w - 2. Which is the second smallest value? (a) r (b) w (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 9*a**2 + 22*a + 2. Let r be f(-11). Sort -0.5, r, -0.24.\nAnswer: -0.5, -0.24, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - q + 1. Let a(p) = -p**2 + 2*p + 6. Let l = 482 - 481. Let v(r) = l*a(r) - 3*n(r). Determine v(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -0.8, 1\/4, 3\/4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + f - 1. Let i(r) = r**3 + 9*r**2 + 5*r - 5. Determine -i(l) + 4*o(l).\nAnswer: -l**3 - 5*l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-15))\/((9\/(-75))\/((-6)\/4))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of a*t**3*z**3 - 11205*a*t**3*z**2 + 212*t**3*z**3 + 70*t**3*z**2 wrt a?\nAnswer: t**3*z**3 - 11205*t**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 94*b + 9125. Let r be y(-97). Solve x + v + 10 = r, 5*x + 33 = 4*v for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123.2 - -85.3?\nAnswer: 208.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - -10. Let l be (2 - (-44)\/(-18)) + (-19620)\/(-405). What is the highest common factor of l and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 4:44 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17 and 86486.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**5 - 2*p**5 + 4*p**5)*(8193 - 7632 + 10571) + 0*p**5 + 0*p**5 - 3*p**5.\nAnswer: 22261*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 95*f**3 - 34*f + 35. Give q(1).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 3*j + 58. Let m = j + 65. Suppose 2*f + 0*i - 5*i = 42, -4*f = -5*i - m. List the prime factors of f.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**2\/3 - 9676*n\/3 - 74359 = 0. Calculate n.\nAnswer: -23, 9699","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-608)\/532)\/(2\/7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 407649 + 1106351. What is l rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 3:27 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 537325?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32365*n**2 - 46*n + 18 wrt n.\nAnswer: -64730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 469\/5 + -5149\/55. What is the closest to -6 in 0.2, -1, d, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157 is divided by 42?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w - 31 + 7. Suppose 4*b = b - 45. Let q be w + b*(-16)\/12. Solve 3*v + v + q = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55 - 3*p - 10 + 40)*(-155 + 25*p + 155).\nAnswer: -75*p**2 + 2125*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*j*r**3 + 36877*j + 14611*r**3 wrt r?\nAnswer: 6*j*r**2 + 43833*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 2*o + 2. Let p(m) = 14*m**3 + 17*m**2 - 6*m - 8. Give p(c) + 3*x(c).\nAnswer: 11*c**3 + 17*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*a - 2*a - 36*a - 1215 + 62*a + 1215 + (5*a - 6*a - a)*(-4 + 4 + 2) to the form w + m*a and give m.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-3))\/((-4)\/(-6)). Suppose 3*j + 94 = p*c + j, -2*j = -c + 47. Suppose -69 = -4*v + c. Solve 3*x - 10 = 5*x, v = -2*m - 5*x for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3400457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3562 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -7732 divided by 13?\nAnswer: -7732\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*y = 30*y - 2980. Let f = -597\/2 + y. What is the third smallest value in -1\/12, -4\/3, f?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5656 (base 11) in base 14?\nAnswer: 29d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-3) + (-12)\/18.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 436 and 109?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -58\/117 (c) 7\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -548*m = -563*m + 2385. What is the greatest common divisor of 4346 and m?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -36 or -106\/3?\nAnswer: -106\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 241376 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 49410?\nAnswer: -1\/16470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -332*x + 3. Let u(o) = -688*o + 5. What is -5*m(z) + 2*u(z)?\nAnswer: 284*z - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 38 = 2*n. Let q = n - 0. Let r = -6 + q. Which is the fourth biggest value? (a) -1.1 (b) -4 (c) r (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 2*d - 32, 5*d = -g + d + 4. Let b(t) be the second derivative of -t**4\/12 - 3*t**3\/2 - 3*t**2 - 6*t + 1. Let v be b(g). Round v to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 + 17.6. Which is the nearest to 0.2? (a) -4 (b) 0 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -6*n**3 - n**2 + 2*n - 1. Let j = 26 + -12. Let s = 15 - j. What is b(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42*-5.617\nAnswer: -235.914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7786915?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-6)*(42\/7)\/12?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1*-5)\/(-1) + (3124 - 3126))*(-1)\/(-432)?\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 + (-4)\/14 + (-825)\/77. Let x(l) = -4*l**3 - l**2 + 2*l - 6. What is the tens digit of x(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/386638 and 93\/3866380?\nAnswer: 3866380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 0 + 8)*(-1 - 1 + 4)*(-2 + 1 - 1 + (-2 + 0 + 4)*(4 - 3 - 3))*(4*q + q - 4*q) in the form o + t*q and give t.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 622 * 4115\nAnswer: 2559530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - a + 7 - 2)*(0 + 0 + 2)*(-14 + 8 + 12).\nAnswer: -12*a + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -166174*w - 8807218. Determine v(-53).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (2 - (-14 - -4))) + 10 - 15.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10\/201 + 19\/67. Sort 2\/483, j, -3 in descending order.\nAnswer: j, 2\/483, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4*k + 580. List the prime factors of k.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/54707 and 38\/1289591.\nAnswer: 292737157","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2209112810 to the nearest integer?\nAnswer: 1302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 2:01 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.04893946 + -0.048406. Round f to 5 dps.\nAnswer: 0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002154 to 5 dps.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23105 is divided by 889.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3*q**3 - 6*q**2 + 2*q**3 - q**2 + 300332*q - 1 + 2 - 300337*q. Suppose 4*j - 3*j + 6 = 0. What is p(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**6)**(-32\/5) assuming v is positive.\nAnswer: v**(-192\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 8*i - 10. Let v be b(8). Calculate the common denominator of (-3)\/4*(-44)\/v and -71\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 21 - 9*y - 31*y - 21. List the prime factors of b(-1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3366\/935*10\/(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 802330320\/7 at least as big as 114618618?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1818\/325 + 1\/1*-4. Let f = 2\/325 + d. Let -f - 66\/5*v**2 - 8*v - 2*v**4 - 44\/5*v**3 = 0. What is v?\nAnswer: -2, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l + 4. Let z(u) = 27*u + 16. Calculate 4*a(d) + z(d).\nAnswer: 35*d + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3921 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 596380584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 31924091\/(-462617) - (-2)\/263?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 - 1. Suppose 0 = 2*q - 6*q + b. Suppose -s + 65 = 5*v, q*v - 145 = -2*s + v. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14.379 - -10.379. What is the fourth smallest value in -0.5, b, -12, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-5625)\/6)\/(2\/(-416)). Let q be (-168)\/6*f\/(-14). What is q rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 165, 121, 77, 33?\n\"Answer: -44*v + 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -154*x**2 - 549*x**2 + 26*x**2 - 557*x**2 to the form i + f*x**2 + c*x and give f.\nAnswer: -1234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 5*y - y)*(y - y - y**2)*(6*y**2 + 2*y**2 - 3*y**2).\nAnswer: -10*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72 and 74538.\nAnswer: 298152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 57347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 20*h**2 + 4*h + 9. What is g(20)?\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 5*z = -12, -4*g - 3*z = 15 + 12. Let h(c) be the second derivative of -c**5\/20 - 2*c**4\/3 + 3*c**3\/2 + 2*c**2 - c. Determine h(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-775)\/(-25) + -29)*-51 + 30?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -434a5 + -88?\nAnswer: -43571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8231748 or -8231750?\nAnswer: -8231750","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 93216124711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (348\/(-406))\/((-1)\/(-14)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -158589 times 0.47\nAnswer: -74536.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1506420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**2 - a**2 - a**4 + (-3*a - 2*a + 6*a)*(6*a**2 - 6*a**2 + 7*a**3) + 0*a**2 + a**4 + 0*a**2.\nAnswer: 7*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1427244220513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 679085 times 0.04?\nAnswer: 27163.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 41486657050 rounded to the nearest 1000000?\nAnswer: 41487000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -650608 (base 12) to base 6\nAnswer: -54124012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1856 is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + -22 - (0 - (-2 + 1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.8 + 5. Let o = u + 0.4. Let n = o + 0.4. What is the closest to -1 in 5, n, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 139, 807, 2603, 6091, 11835, 20399, 32347, 48243?\n\"Answer: 94*r**3 + 10*r + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -58498920 divided by 453480?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 896 and 8576?\nAnswer: 60032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqq. What is prob of sequence qq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 705 a factor of 16125465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/6)\/(1\/(-3)). Let o(h) = s + h - 3 - 7*h. Is 18 a factor of o(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 5*n**2 + 7*n - 9. Let w be x(6). Let y = 23 + w. Let s be 4\/10 - (-42)\/y. What is the second smallest value in s, -0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 34244 and 1148?\nAnswer: 1404004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d + 2*d + d**3 + (-42*d + 56*d - 40*d)*(-1 + 2*d**2 - 6*d**2 + 3*d**2).\nAnswer: 27*d**3 + 26*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 1)*(2*c - 4*c + 0*c).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 9:34 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2487, 3485, 4483, 5481, 6479, 7477?\nAnswer: 8475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + 10*r. Let x be (11\/2)\/(((-45)\/(-6))\/15). Suppose x*t = 2*t - 54. Let h(c) = -6*c. What is t*s(n) - 10*h(n)?\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 7:52 AM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 14*g - 12. List the prime factors of 6*g\/(-4)*-26*10.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 92.817 + 0.183. Let n = 92.9 - u. Let i(q) = -q**2 + 2*q + 1. Let j be i(2). Which is the closest to n? (a) 3 (b) 2\/11 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, w: 5, g: 3}. Give prob of picking 1 g and 3 c.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 - 10*q - 2. Let b(y) = -2*y - 6. What is the smallest common multiple of t(-2) and b(-5)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6023000 rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70\/21*9\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6940 = -6*z + z. What is the tens digit of (-6)\/45 + z\/60?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 589 - -1027. Let p = y + -739. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -1\/4 (c) -2 (d) -18 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 22173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n - 2. Let z(w) = -6*w + 6. Let o be ((-6)\/8)\/(2\/(-8)). Let g(h) = o*z(h) + 10*v(h). Give g(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -1, 161, 11, 12, 1 in ascending order.\nAnswer: -5, -2, -1, 1, 11, 12, 161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 - 22*m - 114. Let z be v(-13). Suppose -2*k = 3*y - 2, z*y + k = 2*y. Solve 0 = y*q - 1 - 3 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-10)\/4*3880\/(-20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 2, 2.3, 3, -0.032, -86 in decreasing order.\nAnswer: 3, 2.3, 2, 1\/6, -0.032, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -694, -1482, -2474, -3772, -5478, -7694?\nAnswer: -10522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**3 + 6*m**2 - m - 2. Let i be y(-3). What is the nearest to 0 in 0.7, -5, i?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -227476.192 to the nearest ten thousand.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a + 2*a + 2*a)*(0*a**3 + 0*a**3 - 3*a**3 + (-4 - 3 + 2)*(2*a**3 + 3*a - 3*a)) to the form g*a**2 + u*a**3 + w + m*a + p*a**4 and give p.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 3)*(-n + 9 + 4*n - 2*n)*(n**2 + 5 - 5) + 0 + 2*n**3 + 0 + (n + 3*n - 2*n)*(-2 + 2 - 2*n**2).\nAnswer: -3*n**3 - 9*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of c*r + 197*c - 487*r - 9 wrt c?\nAnswer: r + 197","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 12*p + 16 = 15*p, -3*p = 9. Let d be (3\/4)\/((-21)\/(-8)). What is the second smallest value in 4, d, o?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8867 + 8875. Solve 3*n + f = -t, n - 17 = -2*t - 18 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/78)\/((-23)\/((-9568)\/(-192)))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 5*s - 11 = 19, 4*z - 12*s = 5*z - 15*z + 86 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*u**2 - 2*u**2 - 3*u**2)*(-37 + 37 + 4*u**3 + (2*u**2 - 2*u**2 + u**2)*(-2*u + 2*u + u)).\nAnswer: 10*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2233*n = 2*v - 2238*n + 47, 3*v - 10*n = -78 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -457 = -7*f + 803. Calculate the highest common factor of 20 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27220502*o**2 - 32*o + 13610355*o**2 + 13610146*o**2 + 32*o.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1841842\/467 + 3944. Let k = -41222\/9807 + s. What is the common denominator of k and 131\/18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228)\/(sqrt(60)\/(2*sqrt(5))) - -1*(sqrt(19) - -1*sqrt(19)*3)) + -2)**2.\nAnswer: -24*sqrt(19) + 688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 14*w - 19. Let h(t) = -2*t - 1. Let l(k) = 3*h(k) - q(k). Let b(r) = r - 1. Give 16*b(s) + l(s).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0\/1)\/((-2)\/(-1)). Suppose 25*y - 29*y + 8 = z. Suppose -4*v = -3*r - 478, -y*v - 2*r = -r - 234. Is 20 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13334 and 22656?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*o = -914 - 580. Suppose 0 = -0*m - 5*m + 15. Suppose 0 = m*l - 0*l - 15. Sort o, l, -2.\nAnswer: -2, l, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 14*s - 175. Let m be y(30). Let i = -180 + m. Let f = 52 + -30. Calculate the remainder when i is divided by f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.052 - 1.652. What is the nearest to -0.2 in 1, -1\/7, -8, n?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -610*a**2. Let z(p) = p + 30*p - 31*p - 12*p**2. Calculate z(r(m)).\nAnswer: -4465200*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74f (base 16) to base 13.\nAnswer: b0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 336\/408 - (-58290)\/(-4930).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/952 and 69\/20.\nAnswer: 4760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -22*z**2. Let q(u) = -2650*u. Give g(q(b)).\nAnswer: -154495000*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 115, 303, 491, 679, 867?\n\"Answer: 188*j - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11858*l**3 - 7634*l**3 + 94189*l**3 - 4 + 4.\nAnswer: 74697*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -56875 plus 0.35345?\nAnswer: -56874.64655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-83)\/(4814\/(-87)))\/(38\/(-4)).\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -467 <= -468?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27265*-22.6.\nAnswer: 616189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 4*l**3 + 2*l**2 - l + 3. Suppose 0 = -4*y + 3*d + 17, 0 = 6*y - 5*y - d - 5. What are the prime factors of x(y)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + h - 1342 = 5*n, n = 3*h - 271. Let a = -230 - n. What is the remainder when 115 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39 - -38.5. Which is the third smallest value? (a) d (b) -1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3045, -3053, -3063, -3075?\n\"Answer: -b**2 - 5*b - 3039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 13 = 2*r + r, 3*r = v - 2. Suppose 2*u = -8, -v*t + 3*u = 42 + 21. Let k = t + 78. What is the remainder when k is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/3*-1)\/((-10)\/(-5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -169 + 168.806. Let x = b + 0.068. Round x to 2 decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1097098663 to the power of 1\/5, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10 - 5 - (-2 + 2). Suppose -x*l + 510 = -0*l. Suppose -5*w + 23 = 5*q - l, q + 4*w = 22. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-1\/2))**(-1\/34))**40*((m**(-3\/5)*m)\/m*(m*m*m**(5\/3))\/m)**(2\/47) assuming m is positive.\nAnswer: m**(-5996\/11985)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-9))\/(-10 + (-2520)\/(-224))\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 15 = 5*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 91 - 185\/2. Is 2\/5 at most as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or 160?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 (base 12) in base 13?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 9*r**2 - 9*r - 4. Let z be b(8). Let g be 82\/8 - (-3)\/z. Let y be 3285\/g - (-3)\/2. Round y to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/22 + 530\/2915*(-42)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1297*g**4 + 1288*g**4 - 2583*g**4 - 1963*g**2)*(g - g + g).\nAnswer: 2*g**5 - 1963*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {v: 5, k: 3, o: 1, j: 6, l: 5}?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142374 is divided by 88.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 85 and 663?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 306 divide 116843802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -3, -3\/2, 5, -1198 in descending order.\nAnswer: 5, 0.4, -3\/2, -3, -1198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/57684 and 25\/5016?\nAnswer: 115368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**4\/7 - 569336*w**3\/7 - 1219920*w**2 - 42696200*w\/7 - 71159500\/7.\nAnswer: -4*(w + 5)**3*(w + 142319)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnininnzn. Give prob of picking 1 n and 1 z.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -df9d (base 16) to base 10\nAnswer: -57245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w = 7 - 33. What is the remainder when 217 is divided by (3 - 98\/(-4))*w?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of -k**4\/6 + k. Let g(p) = 2*p - 114. Determine n(g(s)).\nAnswer: -8*s**2 + 912*s - 25992","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y + 9. Let v be n(0). Suppose -5*u = -v*u + 8. Let x(w) = -2*w**2 + 2*w - 3. What is x(u)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 775*i - 2366*i + 778*i + 775*i.\nAnswer: -38*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + 62*w + 230. Let h be t(-58). Which is the nearest to h? (a) 5 (b) 3 (c) 0 (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**3 + 3*f**3 - 3*f**3 + (-2*f + 2 - 2)*(1 - 1 - f**2) - 2*f**2 + 496 - 496 - 574*f**3 + 2*f**2.\nAnswer: -571*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, f: 1, w: 2, k: 2}. Give prob of sequence wbk.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-49870)\/48 - 7\/(-21). Let n = s + 1026. Let r = -7542 + 45359\/6. What is the common denominator of n and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3.28 and -296?\nAnswer: 299.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 7:48 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 4:00 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x = 16*x + 1156. Round x to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2274, -4431, -6550, -8625, -10650?\nAnswer: -12619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m. Let i(r) = 10*r + 33. Let p(v) = v + 1. Let h(o) = i(o) - 6*p(o). Let g(b) = -b - 3. Let u(f) = -6*g(f) - h(f). What is j(u(w))?\nAnswer: 4*w - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45360 = -206*p + 136*p. Calculate the highest common factor of 24 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 220*j - 216*j + 32 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 471 is divided by 48?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6, -125, -498, -1233, -2450, -4269, -6810?\n\"Answer: -20*m**3 - m**2 + 12*m + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/10 and 71\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15)\/12 - (-4)\/16. What is the common denominator of -1\/12 and 253\/(-88)*12\/f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/8 (b) 0.02 (c) -1 (d) -2 (e) -520 (f) 0 (g) 27\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**5\/8 - 419*g**4\/4 + 13665*g**3\/8 + 419*g**2\/4 - 1708*g = 0.\nAnswer: -854, -1, 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14948, -14946, -14942, -14936, -14928, -14918?\nAnswer: -14906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 0, 1, 4\/7, -47\/17, 5 in descending order.\nAnswer: 20, 5, 1, 4\/7, 0, -47\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**1\/c)\/c)**4*(c*c**3)\/c*c**4)**(-27) assuming c is positive.\nAnswer: c**(-81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 80913650*c**2 - 3 - 80913656*c**2 + 161827284*c**2.\nAnswer: -22*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - 13 - (1 - 7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/56 - (180495\/(-4312))\/(-9) - -5.\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -395.0946 - -0.0946. Let o = w - -394.9. Which is the second smallest value? (a) o (b) 1\/3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 191959780?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2136183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9\/2*z - 3*z**2 - 1\/2*z**3 - 2.\nAnswer: -(z + 1)**2*(z + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 118 + 13. Suppose g + 3*w + p = 6*g, 0 = -2*g - 4*w + 42. Is g a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u - 1 - 2*u + 6*u)*(-14*u**2 + 87*u - 87*u) to s*u + f*u**3 + z*u**2 + w and give f.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 40 = -5*n, -2*g - 20 = -n - 33. Suppose 0 = -2*a + 4*v - 52 + 220, -4*a - g*v + 362 = 0. List the prime factors of a.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*u**3 + 5864*u**2 + 10628*u - 2360.\nAnswer: -4*(u - 295)*(u + 2)*(5*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 3\/4, -3\/43, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -32*q - 1. Let v = 0 + -28. Let o = v + 27. List the prime factors of b(o).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of b**2 + 123. Let v(k) = -4*k - 8. Determine x(v(s)).\nAnswer: -8*s - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3406?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from xgxggggxxkgag.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*z - 77 + 20 = -54*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/9 (b) -128\/7 (c) -97 (d) 0.4 (e) 5 (f) 23\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 124352 and 131392.\nAnswer: 255294656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3877241 is divided by 39.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*g = 34*m - 37*m + 60, g - 22 + 9 = -2*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*o + 7*z + 1360 = -67*o, 4*o = -15*z + 10*z - 320 for o.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*v = 500 - 408 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + -1. Let l(n) = 2*n + 1. Let j be l(v). Let t(b) be the third derivative of b**6\/120 + b**5\/30 - b**4\/8 - 2*b**3\/3 + 3*b**2. Determine t(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 1 = -6*c. Let m(t) = 8*t**3 - t**2. Let z = 1013 + -987. Calculate the remainder when z is divided by m(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1674697 to the nearest integer?\nAnswer: 1294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, 1\/2, -29, -1\/28, 6383, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 11:46 PM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + -11)*24\/(-36). Let b(p) = -5*p - 9 + t - 5*p**2 + p**3 - 3. Determine b(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 0, -2, 2, 12800 in decreasing order.\nAnswer: 12800, 2, 0, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (104 + -98 - (0 - (6 - 1))) + 62.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.15 + 0.13. Let h = 0.02 + b. Let l = 0.2997 - h. What is l rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -256197*g**3 + 5*g - 1231 wrt g.\nAnswer: -1537182*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 850*o - 458183. Give k(539).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*u - 0. Let y be u\/(-4)*(-3 + 3). Suppose 8 = -3*n + 7*n. Solve y = 3*x - n*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/6? (a) 0.1 (b) -1 (c) -2\/15 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 274 + -272. Suppose 2*w = -2*u + 268, k*w + 292 = 2*u + 20. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0082736564 rounded to six decimal places?\nAnswer: 0.008274","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 74 and 7511074.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36 + 37. Suppose -2*d = -4*g - 5*d - i, 0 = 3*d - 15. List the prime factors of (g - (-14)\/2) + 90.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -3. Let g = 17 + o. Calculate the highest common factor of g and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 4*r + 6. Let i(t) = 11*t + 17. Let w(j) = -6*i(j) + 17*u(j). Let f(z) be the second derivative of z**4\/2 + 7*z. Give w(f(b)).\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-33)*198\/132*-2?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*q - 13*q + q + 30*q**3.\nAnswer: 30*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3219202967?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**5\/9 - 1528*a**4\/3 + 1352464*a**3\/9 - 141381284*a**2\/9 + 549923966*a + 5092054028\/9 = 0. Calculate a.\nAnswer: -1, 109, 1966","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2031582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1025455.\nAnswer: 5, 23, 37, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -3*r**4\/2 + 2395*r**3\/2 - 129381*r**2\/2 - 88119*r\/2 + 21830 = 0.\nAnswer: -1, 1\/3, 59, 740","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1671.1 times -3\nAnswer: -5013.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 52490 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of s**3\/3 + 1. Let a(w) be the second derivative of -w**3\/6 + 95*w. Determine v(a(c)).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 757?\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72549, -290174, -652869, -1160634?\nAnswer: -1813469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*d + 12*d - 14*d + (2 - d - 2)*(-3 - 2 - 3) + 3 - 3 - d)*(-1 + 1 + 5*d).\nAnswer: 125*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v + v - v + (19 + 12 - 38)*(3 + 2*v - 3).\nAnswer: -16*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14 + 14 - 472*f + 10*f)*(-f - 2*f + 2*f) as g + o*f**2 + r*f and give o.\nAnswer: 462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 908 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*o - 72. Suppose o = x + 4*x. What is the remainder when 35 is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -v**2\/3 + 878*v\/3 - 877\/3 = 0.\nAnswer: 1, 877","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4102 - 52051?\nAnswer: -44646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 50 = -68. Let x(b) = -2 + 5*b + b**2 - 2 + 2. Let r be x(c). Sort -3, r, 2 in decreasing order.\nAnswer: r, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2. Let h(p) = -4*p**2 + p + 2. Determine h(y) - l(y).\nAnswer: -3*y**2 + y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -452 = -9*k - 101. Suppose 930 = 17*p - k. Calculate the greatest common divisor of 342 and p.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19813381.\nAnswer: 7, 17, 167, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 18*h - 11. Let k be f(-16). Suppose s - 2*s - 5*q + 85 = 0, s - 45 = 5*q. Let c = k + s. Is c a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1778 * -8\nAnswer: -14224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 760491, 760485, 760477, 760467, 760455, 760441?\n\"Answer: -u**2 - 3*u + 760495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w + 3*r - 8*r - 2, w - 312*r = -310*r for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (1 - 0)) + 2 - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) -0.091 (b) 1\/3 (c) -8 (d) -1\/2 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - p = 2*z - 6, 0 = 2*p + 4*z + 4. Let k = 0 - 0.7. Let b = -0.3 + k. What is the nearest to -2 in -0.5, b, p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -4*c**2 + 72*c + 38. Let x be q(25). Let n = -342 - x. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**2 + 2. Let o = 6 + -4. Let d be i(o). Suppose 0*g = 2*f - 4*g - 38, 2*g + 44 = 2*f. What is the greatest common divisor of d and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-180)\/(-150)*(-20)\/16*(-110)\/(-15)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 17*p + 27. Give g(-14).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2066016635 to the nearest integer?\nAnswer: 1274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 155, 313, 473, 635, 799, 965?\nAnswer: 1133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/3))**23)**9\/((x**(-1))**8\/(x\/(x\/x**(2\/7)))**36) assuming x is positive.\nAnswer: x**(1094\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80226, -80172, -80118?\nAnswer: -80064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/2528 and -95\/8.\nAnswer: 2528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, f: 1, j: 4}. What is prob of picking 1 z and 2 j?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -315.211 * 5\nAnswer: -1576.055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (-7 - -2))\/(5 + -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/9*(-27 + 0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 25 = -2*w + 2*l, -5*l - 51 = -4*w. Suppose -o = o - w. Suppose o = -3*s - 8, -5*s = 3*z - 47. Calculate the highest common factor of z and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1*(-1)\/((-4)\/(-156))?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*(j**1\/j*j)\/j*j*j**(-1\/8)*(j*j*j**(4\/7))**(9\/4) assuming j is positive.\nAnswer: j**(429\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(1\/2))**(-19)*i**2*i*i*(i\/(i\/(i*i*((i*i**(-2)*i*i)\/i)\/i*i*i)))\/i)**(-21) assuming i is positive.\nAnswer: i**(945\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1620876*p**3*r**3 - 9615439*p**3*r - 7*p*r**3 - 2*p*r**2 wrt r.\nAnswer: 9725256*p**3 - 42*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.25 (b) 0.5 (c) 4030 (d) -23 (e) 0.3 (f) -2 (g) -1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1669068992 to the nearest integer?\nAnswer: 1186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 1848*c**2\/5 - 1858*c\/5 + 2 = 0. What is c?\nAnswer: 5\/924, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -7*(1 + (-13 - -1)). Let j be (-4)\/8*2*-7. What is the greatest common factor of j and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - p**2 + p + 1. Let m(t) be the first derivative of -3*t**4\/2 + 8*t**3\/3 - 7*t**2\/2 - 5*t - 1. Let w(z) = 5*i(z) + m(z). Factor w(q).\nAnswer: -q*(q - 2)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 97 + -97. Calculate the remainder when (-1)\/(-2)*b - (-504)\/12 is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2681265 and 41495?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -0*v + 3*v. Let q(x) = 241*x - 243*x + 15674 - 15687. What is q(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 7*z**2 - 7*z - 3. Let k be u(4). Solve 4*s + s = -2*w + k, 3*w = 4*s - 32 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9764262 = 9764257?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 57659662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 933339102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n**2 + 6*n + 3. Let k be f(-2). Calculate the least common multiple of (-5)\/k - (-153)\/27 and 11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000003522 to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.07 + -0.23. Let o be (-2)\/1*(-1 - (-16)\/20). Is i <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -394, 1\/2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -y**5\/150 + 4*y**4\/15 - 28*y**3\/15 + 61*y**2 - 2*y - 10. Let d(t) be the first derivative of j(t). Factor d(h).\nAnswer: -2*(h - 14)*(h - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 8 = 0, -5*g - y = -4*y - 1412. Suppose -z = -5*z + g. Is (4\/5)\/(4\/z) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 12, -2, 4 in descending order.\nAnswer: 12, 10, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 573*v - 84721 + 42360 + 1478*v + 42360 to q + c*v and give c.\nAnswer: 2051","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -750424 divided by 39496\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.8? (a) -0.8 (b) 0 (c) -5 (d) 15\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (0 + 2 + (1 - 1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -244 + 283. Let o(f) = 87*f**2 + f + 1. Let k be o(2). Calculate the highest common divisor of c and k.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -67949*p. Let g(a) = 555*a**2. Calculate g(i(b)).\nAnswer: 2562471963555*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (20 - 4) + -10 + 4\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (-4 + 4)) + (1 - 1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*u**3 + 12*u**3 - 4*u**3.\nAnswer: 14*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 16*i - 2. Let x be q(0). Is 3\/2 + (x - 6495\/(-2)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 200 and 3092.\nAnswer: 154600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1015 - 1021. Which is the smallest value? (a) 1\/5 (b) 4 (c) y (d) -2\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 + -13. Calculate the least common multiple of q and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v + 2*v + 16*v**2 - 11*v**2. Let n(b) = -2*b. Determine a(n(z)).\nAnswer: 20*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -32*(-5)\/220*2\/(-4)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 4*b**2 + b. Let q be l(1). Find the second derivative of 0*p**2 + q*p**2 + 3*p + 7*p wrt p.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -305 - -1268. Let j = 988 - z. Suppose 3*p - 42 = -3*u, 3*p - u = -0*u + 26. Calculate the remainder when j is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 91 + -81. Suppose 4*o - 22 = w. What is the lowest common multiple of 12 and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 1:47 AM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*q - 130*q = -8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 15*i + 69*i - 35*i - 202*i - 223*i. Let f(y) = -6*y**2. What is f(a(n))?\nAnswer: -848256*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3*h - 5*h + 6)*(-31 + 31 - 7*h).\nAnswer: 14*h**2 - 21*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 35880910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10560 - 10563. Which is the smallest value? (a) 2 (b) j (c) -296\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700) - sqrt(1700)*-2) + 4 + 2)**2.\nAnswer: 360*sqrt(17) + 15336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -4. Suppose -5*k = -3*h - 1223, -4*k - 14 = 2*h + 772. Let z = h - -405. Solve -z*b + t = 16, 2*b + 14 = g*t - 0*t for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**3 - 3*q**3 + 6*q**3)*(4*q + 2*q + q) + (49*q - 49*q + 22*q**2)*(1 - 52*q + 3*q**2 + 52*q).\nAnswer: 73*q**4 + 22*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118684 - 59355 + 43*i**3 - 59329.\nAnswer: 43*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -5*t**4\/12 - t**3\/2 - t**2 + 1. Let y(i) be the second derivative of q(i). Is y(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32.67 - 29. Let t = h + 2.57. What is t rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v + 1. Let j = -21 + 19. Let z(s) = -s + 3. Let q(a) = -2*a + 8. Let u(m) = -3*q(m) + 8*z(m). Calculate j*u(g) - 2*o(g).\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/2 - (15\/10 + -2). Which is the fourth biggest value? (a) 0.5 (b) 0 (c) 5 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -24283, -48564, -72845, -97126, -121407?\n\"Answer: -24281*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -103.\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 17*d**2 - 32*d - 25. Let r(l) = -6*l**2 + 11*l + 8. Determine 11*r(b) + 4*u(b).\nAnswer: 2*b**2 - 7*b - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 0. Suppose -4*m = x - 16, 7*x - 4*x = -5*m + 27. Let p be -3 - (-3 + x)\/(-1). Which is the third biggest value? (a) p (b) -0.3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 913\/83 - (-2 - 0\/(-1)) - 41?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*v - 36 = 39*v. Let w be -4*1 - (v + 12). Let z(y) = y**3 - 3*y + 3*y**2 - 2*y + y - 3. Determine z(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24421525 (base 7) to base 16\nAnswer: 216bef","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 1323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l + 38. Let p be r(-23). Let z be 1\/(7\/86) - p\/(-28). Let g(d) = -d + 9. Let m be g(z). Is 1 > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 4*s. Let h = 8 - 2. Let y = -5 + h. Let g(c) = -y + 1 + 0*c - 2*c. Calculate i(g(x)).\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52*j**5 - 4*j**5 - 10*j**5)*(2 - 3 - 1 + 2 - 2 - 2 + (0 + 2 - 4)*(2 + 2 - 3)).\nAnswer: 396*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -3*n**3 + 72417*n**2 - 440079957*n + 36885425895 = 0?\nAnswer: 85, 12027","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 2*d**2 + 8*d + 12. Suppose -24 = 2*f - 2*n, f = -n - n. Let w be a(f). Suppose s - 3*l - 11 = 61, 5*s - l - w = 0. Does 22 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4*m + 6*m + 0*m)*(1 + 4 - 2) + 13*m + 30 - 30.\nAnswer: 19*m + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.0035807 rounded to 0 dps?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -245 - -5633\/23. Which is the closest to 1? (a) t (b) -1\/3 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4*((sqrt(1539)*1 + sqrt(1539))*-2 - 5*(0 + sqrt(1539))).\nAnswer: 2 + 324*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/4)\/(1\/(-18)). Let w be (-60)\/(-7) + ((-148)\/14 - -10). Is w > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q**4 - 177*q**3\/2 + 99*q**2\/2 + 186*q + 42 = 0. Calculate q.\nAnswer: -1, -1\/4, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62823 = -0*l - 43*l. List the prime factors of l.\nAnswer: 3, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/18 + 106\/12. Let s be (-12)\/54 - (-2)\/a. Suppose -6 = 3*w - s*w, 0 = 2*q - 2*w - 342. Is q 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 26629?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -980 - -4317. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 544?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9045779ml in litres?\nAnswer: 0.0009045779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 3 - 2*w)*(2 + 4 + 3) + 2 - 4*w - 2*w + 4*w)*(-2 + 2 + w).\nAnswer: -20*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and -4 + 54 + (-7)\/(21\/6)?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -382 + 377. Let n be -4*(-3)\/4 + -2 + b. What is the second smallest value in 2, n, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 21\/5 of a hour?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 213.63588 months?\nAnswer: 17.80299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2919?\nAnswer: 3, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 39677?\nAnswer: 1\/39677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 19 + 2\/((-4)\/6). Let y = x + -5. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 432 by 72.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -649 less than -407\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -525714 - -1577144\/3. What is m in 0 - n*m + 1\/3*m**2 + 1\/3*m**3 = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*r - 35 = -24*r. What is the least common multiple of 5 and (r - 4) + (-36)\/(-6)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h + 3 = 29. Suppose -162 = 20*c - h*c. Let a(g) = -g**3 - 10*g**2 - 11*g - 13. Calculate a(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -478, -988, -1830, -2998, -4486, -6288, -8398, -10810?\n\"Answer: y**3 - 172*y**2 - y - 306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -188*q**3 + 4*q**2 + q. Is n(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 51, 17, 0, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 365351 + -12.687.\nAnswer: 365338.313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 990\/396*(0 + (-19748)\/(-10)). Suppose 13*f = 4111 + j. Is 24 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uknzukknknu. Give prob of sequence kk.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -245*p - 133*p + 7182 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182 - 1279 = 665*i + 898 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -522374 + 338537. Let b be (w + 87)\/(-1 - 30\/(-32)). What is b rounded to the nearest one hundred thousand?\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/493?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 20839874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/319100 and -13\/638200.\nAnswer: 638200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*y + 2. Let v be y\/(-34) + 371\/119. Suppose -v*d + l + 117 = -694, 3*d - 795 = -3*l. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*a**2*g**2 - 24*a**2*g + a**2 - 2*a*g**2 + 6087*g**2 wrt a.\nAnswer: -18*g**2 - 48*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-35*i + 51*i - 30*i)*(-16 + 5 + 19)*(5*i + 4*i - 5*i) in the form s + u*i + z*i**2 and give z.\nAnswer: -448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 945\/(-35)*(12 - 204\/18)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 112254*k - 673530. Calculate u(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6479689 and 137.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -216 and 0.2.\nAnswer: -43.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 83\/12018 or 0?\nAnswer: 83\/12018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1*sqrt(110) + sqrt(110)))\/sqrt(10).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6465.91 rounded to the nearest one hundred?\nAnswer: 6500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 291 - 277. Let d(k) = -k + 128. What is the lowest common multiple of d(r) and 42?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 371 and 3559003?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**3 + 28*y**2 - 24*y - 22. Suppose -240 = -24*n + 72. Let t be h(n). Solve 0 = 5*d + 3*k + 29, d - t*k = -5*k - 7 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1003, -6671, -21675, -50683, -98363, -169383, -268411?\n\"Answer: -778*g**3 - 222*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14811609, 14811612, 14811615, 14811618, 14811621, 14811624?\nAnswer: 14811627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 302, 1235, 2738, 4811, 7454?\nAnswer: 10667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 346736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 507722 divided by 29866.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 11\/4 of a tonne?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-15))\/(-13 + 7 + 2093\/273).\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -12201?\nAnswer: -12211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 20 and 0.1729.\nAnswer: 3.458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(405) + (sqrt(5) - (-1 + sqrt(500) + sqrt(500) + sqrt(500))**2).\nAnswer: -4500 + 70*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 3:34 PM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 48 + 0 = 0. Suppose 3*o + 5*t - 17 = 4*t, -2*t - 2 = 0. Calculate the remainder when q is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37129797.\nAnswer: 3, 23, 181, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqgccqqg. Give prob of sequence qg.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -104, -2, 26853 in decreasing order.\nAnswer: 26853, -2, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 2 + 6, i = -2*g + 8. Let t(h) = 12*h**2 + 16*h + 16 - 8*h**g - 5*h**2. List the prime factors of t(14).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 14*o**2 + 14*o - 16. Let i be z(13). Let v(u) = 12*u - 6. Let b(g) = -3*g + 1. Let c(j) = -9*b(j) - 2*v(j). Calculate c(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 14*x**3 + x + 1 + 0*x - x**2 - 6*x**3 - 13*x**3. Let c be l(-1). Suppose -c*g + 44 = 5*r, -2*r = g - 11 - 3. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69359 = 57*z + 69644 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppw when four letters picked without replacement from {p: 6, w: 4}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-39)\/13 - (-1090)\/(-22). Let i = -52 - r. Let n = -2 + 4. Which is bigger: n or i?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34 - -37. Suppose -j + 5*j + 12 = 0. Which is the closest to 0.1? (a) j (b) h (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -76 + 80. Let k(u) be the second derivative of -1\/10*u**5 + u - a*u**2 + 0*u**3 + 1\/2*u**4 + 0. Factor k(m).\nAnswer: -2*(m - 2)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (-4 + 4)) + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 1. Let r(y) = -5*y**2 - 3. Let o(s) = -3*h(s) - r(s). Calculate o(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**3 - 2*z**4 - z**3 + 0*z**3 + 2*z**4 - 5*z**4 + 2*z**4 + (993 + 261*z - 993)*(-2*z**3 - 1 + 1) as b*z + t*z**3 + u + f*z**4 + m*z**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 104469397 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 812063.\nAnswer: 7, 116009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -958? (a) -1 (b) -3 (c) -0.3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*t - 2. Suppose t*y + 44 = 182. Suppose n - y = 9. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 75 - 73. Suppose -w*c + 50 = 3*k - 39, 3*k = -c + 94. Which is smaller: 34 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -112060, -224095, -336132, -448171, -560212, -672255, -784300?\nAnswer: -896347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3654 (base 10) to base 5.\nAnswer: 104104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1322*f**3*j**3 - 19*f**2*j**3 + 21*f**2*j**2 wrt f.\nAnswer: 7932*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuu. Give prob of picking 2 u.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of -s**6\/120 + s**5\/6 - s**4\/3 - 3*s**3\/2 - s**2. Suppose -3 = x, 3*x - 41 = -4*g + 6*x. Is y(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/988048 and -13\/33380.\nAnswer: 4940240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i**2 - 7*i - 3. Let n be s(12). Let b = n - 3097\/9. Determine q so that b*q - 4\/3*q**2 - 2\/9*q**4 - 2\/9 + 8\/9*q**3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2425 + 2515. Let o = 0 + 3. Suppose -3 = o*c, 5*k - 2*c = -6*c + 296. What is the highest common divisor of k and f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -130, -27, 154, 419, 774, 1225?\n\"Answer: d**3 + 33*d**2 - 3*d - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/283 or 0?\nAnswer: -6\/283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqfqfqqff. What is prob of picking 1 f and 2 q?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 64*z**2 + 3*z + 9. Is r(8) a multiple of 157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 1136 = 136. Let m(v) be the second derivative of 19*v**3\/6 + v**2 - 13*v. What is the remainder when x is divided by m(2)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, -14, 3 in descending order.\nAnswer: 53, 3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 2*l + 12. What is the second derivative of 3*h + 6*h**5 + 2*h**3 - 3*h**5 - 2*h**l wrt h?\nAnswer: 60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.1 + -4.1. Which is the second smallest value? (a) -2\/13 (b) -4\/5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 90*j + 13493. What is m(-150)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0065 + 0.107. Let u = -0.0135 + w. Which is the smallest value? (a) -2 (b) 0.3 (c) 2 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14314797.\nAnswer: 3, 7, 227219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 134\/7695 = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 9:36 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -3*u + 499 - 13, 4*u - 4*h = 676. Solve u*a = 163*a + 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -128 + 249 - j - 121. Let d(t) = 159*t. Determine x(d(l)).\nAnswer: -159*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -56*v + 1297. Give l(24).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.29 - 1290093.\nAnswer: -1290094.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 264 and 2838?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of d**8\/672 + d**7\/30 + 17*d**6\/60 + 13*d**5\/12 + 25*d**4\/16 + 5*d**2 + 9. Factor f(p).\nAnswer: p*(p + 1)*(p + 3)*(p + 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 85 - 51. Which is bigger: l or 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -6722*z**2 + 846*z - 40. Let l be u(-22). Round l to the nearest 100000.\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 2*t**2 + 257 - 3*t - 256 + 2*t. Let y(h) = -h**3 + h**2 + 1. What is -2*i(n) + 4*y(n)?\nAnswer: -2*n**3 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 957, 617, -205, -1719, -4135?\nAnswer: -7663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 83813 + -56?\nAnswer: 83757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10848480 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94561776 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(2\/7)\/h))\/(h*((h**(-5)\/h)\/h*h)\/h*h)*(h\/h**(-13))**(-11\/2) assuming h is positive.\nAnswer: h**(-492\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 450 + -449.092. Let n = -0.028 + v. Let z = n - 0.18. Sort 1\/3, z, -2\/3 in ascending order.\nAnswer: -2\/3, 1\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -28\/3. Let f = 3\/13 - 22\/39. What is the second smallest value in i, f, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((0\/(-11))\/(-14 - -11))\/(-1 - 4). Let f be 2\/(2 - 1)*1. Solve -f = -o*p - p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b*l**2 - 11805*b - l**2 + 27287*l - 3 wrt l.\nAnswer: -4*b*l - 2*l + 27287","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3\/136 + -757\/408. Let q = 4\/3 + c. Let u = q - -1\/6. What is the closest to u in 0.2, 1\/4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/5022 and -5\/42?\nAnswer: 35154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -3897 at least -15593\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.08, -0.3, -5, 5 in descending order.\nAnswer: 5, -0.08, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3540 is divided by 147?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -0.24.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.022573 from 3.\nAnswer: 3.022573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 59 * 0.2\nAnswer: 11.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b. Let c(w) = -7*w**2 - 7. Let x(n) = n**2 + 1. Let v(m) = -c(m) - 6*x(m). Let d(t) be the first derivative of v(t). What is d(p(l))?\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 2451.17794 to the nearest integer.\nAnswer: 2451","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 22*p**2 + 18*p - 15. Let f be g(-21). Let u be 110\/(-4)*f\/(-40). Calculate the highest common factor of 363 and u.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -2 (b) 1\/6 (c) 1\/3982516 (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10689577, -42758274, -96206103, -171033064?\nAnswer: -267239157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqqqqqq. What is prob of picking 4 q?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 18*t**2 + 16*t + 23. Determine p(17).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34442.8 + -34443. Let n = -1 - -2. Let s(j) = -2*j**2 - 3*j - 3. Let u be s(-2). Which is the closest to k? (a) 5 (b) u (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 267, 259, 263, 285, 331?\n\"Answer: j**3 - 15*j + 281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5240\/(-25) + 4\/(-10). Is 16 a factor of 6\/(-39) + f\/(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 10:26 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7428.8 centuries in decades?\nAnswer: 74288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2239100, -2239096, -2239092, -2239088, -2239084, -2239080?\nAnswer: -2239076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -0.0119063?\nAnswer: 0.0238126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -86, -4, 16, 19\/7, -2\/7 in increasing order.\nAnswer: -86, -4, -2\/7, 19\/7, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 3*r**2 - r - 1. Let g(y) = y**3 + 8*y**2 - y - 6. Let k be g(-8). Let t be b(k). What are the prime factors of t*(0 - -1) + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -37753 greater than or equal to -2340705\/62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 37*k**4 + 35*k**3 - 15*k**2 - 9*k + 9. Let p(d) = 9*d**4 + 9*d**3 - 4*d**2 - 2*d + 2. Let x(f) = 2*j(f) - 9*p(f). Factor x(t).\nAnswer: -t**2*(t + 2)*(7*t - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9, -15, -29, -57, -105, -179, -285?\n\"Answer: -j**3 + 2*j**2 - 5*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2743681 + -0.3519?\nAnswer: 2743680.6481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 67*x**2 + 212*x - 135. Determine z(70).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 279296050 to the power of 1\/5, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppxxppxpppppx. What is prob of sequence pxp?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 49*y**5\/5 + 40*y + 9. Differentiate k(u) wrt u.\nAnswer: 196*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 536?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/35*(-11 - 1897\/(-147)).\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnennnneeen. What is prob of picking 3 e?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -30 and -61?\nAnswer: 1830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 71941952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101011010001101101010 + -11?\nAnswer: -1101011010001101101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1744)\/(-2834)*(-3)\/8.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1549 + -1550. Let s(f) = -f**3 + 6*f**2 + 9*f - 9. Let a be s(7). Put a, w, -12 in decreasing order.\nAnswer: a, w, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1216\/105 - -133\/15. Which is smaller: -2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 10:04 AM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + ((sqrt(76)\/(sqrt(1100)\/sqrt(11)) + (3*(sqrt(1900) + 1*sqrt(1900)) - sqrt(1900)))*4)**2) + -1.\nAnswer: -57456937\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*f + 18. Suppose 0 = 3*q + 3*q - 12. Let p(b) = -b**q + 2 + b**3 + b + f*b**2 + b. Calculate p(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 10:46 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(1\/7))**(-39)\/(h\/h**8)**45 assuming h is positive.\nAnswer: h**(1971\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 15 = d, -235*t + 8 = -4*d - 238*t for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 5*p - 3. Suppose -g = 3*c - 4, -p*c = -3*g + 2*g + 4. Suppose -2*o + 3*o = -g*u + 490, -u = 3*o - 117. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-279.4.\nAnswer: -83.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8e7fd + -25?\nAnswer: 8e7d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8450 and 117?\nAnswer: 76050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 at most as big as 36\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - -8)\/2 - -2. Solve -4*v = c*p - 13, 4*v - 1 = -p + 8 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3414734987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 4*r**3 + r**2 - 3*r - 3. Let c(x) = 8*x**3 + 2*x**2 - 5*x - 5. Let n(m) = m**2 - 5*m - 17. Let o be n(8). Let f(v) = o*z(v) - 4*c(v). Give f(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 1 = -3*y, 3*i + y = 5*y - 1. Let g be (-6)\/i*(-40)\/12. Calculate the greatest common divisor of g and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -15*p**3 + p**2 + 17*p - 18. Let i(d) = 19*d**3 - d**2 - 20*d + 19. Determine 5*i(j) + 6*z(j).\nAnswer: 5*j**3 + j**2 + 2*j - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 1:49 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - 9*g + 16. What is the remainder when 4 is divided by n(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 354 - 353.658. Let v = d - 0.3573. Round v to three dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + 6*a - 399. Let d(m) = -3*m**2 + 14*m - 796. Give 2*d(q) - 5*x(q).\nAnswer: -q**2 - 2*q + 403","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i**3 + 6*i**2 - 5. Let c(y) = -y**3 - y + 1. Let a(u) = -c(u) - x(u). Does 16 divide a(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 4*p + 39 = -3*a, 0 = -3*p. Let o(t) = 99*t**2 + 2*t - 2. Let n be o(1). Differentiate -40 + n + a*h**4 - 44 with respect to h.\nAnswer: 52*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 170372*a**2 + 12033*a - 2674. Let y(d) = 382*d**2 + 27*d - 6. Let s(c) = -3*l(c) + 1337*y(c). Let j(q) = 9*q**2. Determine j(s(i)).\nAnswer: 1313316*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -73.56867842 rounded to three dps?\nAnswer: -73.569","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16)\/36*3 - 66\/99. Let c be (-1)\/4*(-3 - (-8 - -10)). Let h = -4 - 1. What is the closest to -0.02 in y, h, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, 0.2, -0.1, -2\/27?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 52515 - 35704. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 r when three letters picked without replacement from lalaarlallrrlr.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62, -41, 0, 61?\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 2:33 AM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(((l\/(l\/((l*l**(-2\/7)*l)\/l)))\/l*l)\/l*l)*l**(-2\/11) assuming l is positive.\nAnswer: l**(8\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l = -218 + 204 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 510 divided by 34?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 216 + -216. Factor 3\/5*w**3 - 3\/5*w**5 + c + 0*w + 0*w**2 + 0*w**4.\nAnswer: -3*w**3*(w - 1)*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 780 - 778. Factor -2*y**3 + 7800*y**2 - 171*y - 525*y - 362*y - 7892*y**d.\nAnswer: -2*y*(y + 23)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 187194909?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20691444*a*x**4 - a*x**2 + 729*a*x + 621*x**2 - 11 wrt x.\nAnswer: 496594656*a*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, -2, 1\/113, -1, 2\/5, 14 in decreasing order.\nAnswer: 14, 2\/5, 1\/113, -1, -2, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-8)*28\/42.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8851002t in kilograms?\nAnswer: 885.1002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 91\/246 + -3\/82. Factor -2\/3*x**2 + 2\/3*x**4 + 1\/3*x + 0 + 0*x**3 - q*x**5.\nAnswer: -x*(x - 1)**3*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -307 + 395. Let s be 3 + -4 - (1 + -10). Calculate the greatest common divisor of s and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = k - o, o = -4*k + 6*o for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**2 + 222*k + 435. Calculate o(-109).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3035 divided by 5.\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/9)\/p**9 assuming p is positive.\nAnswer: p**(-79\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**32*(g*g\/((g*g*(g*g\/(g**(-25\/6)*g))\/g*g*g)\/g))\/g)\/(g**10*g\/(g*g*g**(-3\/17))) assuming g is positive.\nAnswer: g**(1699\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 3*r + 848, 3*r = -4*p + 2*r + 692. Suppose -p*c + 180 = -170*c. Suppose -10 = -l + 6. Calculate the lowest common multiple of c and l.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + 0)\/((-2)\/(-4)). Suppose -5*j + 5*a = -182 - 2278, 0 = 4*j + g*a - 1938. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23394360 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -8, 0.5, 2\/15, -62?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -525 divided by -21\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1939, -1095, 303, 2249, 4737?\nAnswer: 7761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4*m + 410 = 0, m = -4*z - 3*m + 548. Suppose -147 = 2*o - 265 + 254. Let j = o + z. Does 3 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 20*b**2 - 41*b + 38. Let l be s(1). Solve l*w + 72 = 29*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.19 - 0.2. Let z = -1.39 - j. What is the closest to 1\/4 in z, -5, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d**3 + 9*d**2 - 5*d - 7. Let t be 50\/(-10) + -4 + -1 + 7. Let o(j) = j**3 + 4*j**2 - 2*j - 3. Determine t*h(n) + 7*o(n).\nAnswer: -2*n**3 + n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -k**6\/45 + 19*k**5\/18 - 398*k**4\/27 + 628*k**3\/9 + 80*k**2 + 1823*k. Let l(h) = 0. What is h?\nAnswer: -1\/3, 6, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17927741203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -762 (base 14) in base 7?\nAnswer: -4152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3648)*1)\/(sqrt(192)*2).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4*s = -14, 2*s - 2 = 8. What are the prime factors of 186*f\/(36\/8)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26233264 to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.862 - -0.462. Let r be (-4 - 104\/(-12)) + -4. Which is the nearest to r? (a) h (b) 2 (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 2*d + 7*d. Suppose d*n = -4*y + 11, 3*n - 3 + 10 = 5*y. Solve 2*r = -5*g + 21, 0 = 2*g - y - 4 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 5*j - 0 + 10, 10 = -2*l. Find the third derivative of 16*w**3 - 25*w**3 - 34*w**2 + 2*w + 87*w**3 + 18*w**j wrt w.\nAnswer: 576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 4\/1019 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(156)*-2*3)\/sqrt(12))**2 - (2 + ((sqrt(1872) - sqrt(1872)*-1)*-4)**2).\nAnswer: -119326 - 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22 + -211332?\nAnswer: -212020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -460, -25, 408, 839?\n\"Answer: -q**2 + 438*q - 897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2*(1094\/(-200) - (-5 - 1)) and 48\/65.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 235236 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 2\/7, 34.943, 4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3 = 3*r + 11, 5*n - 5*r = 120. Let p(a) = 125*a - 144. Is p(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and -10044552?\nAnswer: 10044552.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 6*x - 252 = 0. Let a = x + -15. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in -4\/11, -12\/11, -2\/3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 74017.46um?\nAnswer: 0.07401746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 20 = -p, -3*j - p + 56 = -0*p. Suppose 5*a = 124 - j. Let i be 1\/a + 6\/(-18). Is i smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 2 - (-1 + -6 + 6) - 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42 + -25. What is the highest common factor of z and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.8 - 0.8. Let n be ((-4)\/6)\/(96\/(-18)). Sort 8, -0.3, n, d in ascending order.\nAnswer: -0.3, n, d, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 2*m - 2 = 0, 3*p - m - 10 = -8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 3*z. Suppose 0 = 2*v + 3*n - 22 - 3, 4*v - 41 = 3*n. Suppose 3*o - v = 1. Solve j + z*j = 3*y + 11, -5*y = -o*j + 30 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m - 3*j = -5*m - 14, -3*m = -2*j - 34. Solve 15*k = 5 + m for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101110110011011101000011 + 101?\nAnswer: -101110110011011100111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 4*f**3 - f**2 + 1. Calculate m(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) 2\/3 (c) -2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 887 = -849. Suppose -71 = 5*l + r. Is 24\/(-16) + l\/(-2) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19.9 - 20. Which is the third biggest value? (a) p (b) 5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7285 less than 7423?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.03436671 + -21.76\nAnswer: -21.72563329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 6 + 1 + -2 + 2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 931 is divided by 72?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 - -4)\/(-1 - (-2 - -2)). Let b be (-1)\/4 - 118\/(-136). Let v = b + -2\/17. What is the second biggest value in v, d, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + (sqrt(50)*2)\/sqrt(10) + sqrt(35)\/(-1*sqrt(7)) + -3.\nAnswer: -3 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1039*q + 1 - 1594*q.\nAnswer: -555*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64*71.0792.\nAnswer: -4549.0688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 6 = 0, 2*o - o - 5*h - 18 = 0. Let i be 7*(-7)\/(-49) + 6\/8. Is o less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1610216, 6440896, 14492028, 25763606, 40255624, 57968076?\n\"Answer: -x**3 + 1610232*x**2 - 9*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 957 = 9*g + 2*g. Let m = 91 - g. Solve 3*c = -m*l + 3*l, c - 1 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -189, -382, -561, -720, -853?\nAnswer: -954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 3. Let g be (-26)\/w - (-4)\/12. Let a = 15 - g. Solve 4*j = j - a for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 1 = -7. Suppose 0 = -66*v + 53*v + 65. Sort i, 3, v in increasing order.\nAnswer: i, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-3)*12*(-4646)\/552.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from nnccnqnccnccngcncq?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 17*b**2. Let v(h) = -9216*h + 125. Let k be v(-29). Let l(d) = -267389*d + k*d - d**2. What is l(a(g))?\nAnswer: -289*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38 - -154. Let r = 191.8 - n. Let k = 2\/7 + 4\/35. Which is the nearest to -2\/3? (a) -6 (b) k (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 2 - 4)*(-12 + l + 12) - 3*l + 3*l + 10*l.\nAnswer: 11*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) 0.2 (c) -105 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, v: 10, t: 1, l: 3}. What is prob of sequence lt?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(5\/4)*k*k\/(k\/((k**(-3\/4)*k)\/k))*k*k*(k\/k**1)\/k*k*k\/((k\/(k\/(k**(1\/11)\/k)))\/k*k*k) assuming k is positive.\nAnswer: k**(97\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6027, -12049, -18071, -24093, -30115, -36137?\n\"Answer: -6022*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-40 + 41)*(1 - 1). Let x(o) be the second derivative of -23*o - 11\/12*o**4 + 0*o**2 + 1\/3*o**3 + n. What is the second derivative of x(m) wrt m?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 0*u - 4*u = 251, y + 253 = -5*u. Let z = y + 250. Calculate the smallest common multiple of 8 and z.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = 7*q - 88 - 29. Solve 2*g = -3*y - q, 5*y = y + 4*g + 8 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40846344?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1349db9 (base 14) to base 6\nAnswer: 531503011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/2714 and 8\/177.\nAnswer: 8142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 70 - 72. Calculate the common denominator of -45\/11 and (l*2\/(-20))\/((-84)\/6650).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1071 is divided by 49?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of 161*p**4\/3 - 1454*p**2 - 3392*p. Find the first derivative of l(t) wrt t.\nAnswer: 1288*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*o = -42*o - 50. What is the tens digit of ((-4)\/(-10) + (-298)\/20)*o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-3)*(-339)\/(-226)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54107759?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*l**4 - l**4 - l**4 + (-4*l**4 - 10*l**4 + 2*l**4)*(-1 - 5 + 5) to the form h + c*l**3 + d*l**2 + j*l**4 + w*l and give j.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 0 - 20 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5 + sqrt(405) + 2).\nAnswer: 35 + 45*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-16))\/((-5)\/(-40)). Put c, 3, 5, 8 in decreasing order.\nAnswer: 8, 5, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 4 = 3*k, 4*k + 4*o + 6 = -22 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1316301 (base 9) to base 8.\nAnswer: 2575627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 3136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 374\/11*(2 - 1). Let i = 43 - q. Solve -i = 2*l - 5*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = -262*m + 34 + 164 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -4*b**3 - 85*b**2\/4 + 3489*b\/2 - 1188 = 0?\nAnswer: -24, 11\/16, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-148)\/3663)\/((-42)\/(-30) - 33\/45)\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-5)*(-125)\/(-3600)*-24)\/((-2)\/123).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2695600 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (84\/15)\/((-5300)\/(-11750)) + -11. Which is smaller: d or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -89 - -80. Let j be ((-33)\/22)\/(u\/(-4))*-6. Put -5, 5, j, 3 in descending order.\nAnswer: 5, j, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 9 = 5*w, 0 = -39*p + 44*p + 3*w + 8*w + 23 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -851*d**4\/12 - 545*d**2\/2 - 633*d. Differentiate x(t) wrt t.\nAnswer: -1702*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1569768756*a**3 - 1504240411 wrt a.\nAnswer: 4709306268*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 661121 (base 8) to base 7\nAnswer: 1612403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -310*m**5 + 3*m**2 + 214*m wrt m?\nAnswer: -18600*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_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: Suppose 1 = 3*d - 5. Let b be (-1 - -24395)\/(d\/(-1)) + -3. What is b rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -399*g + 1470. Let z(w) = -47*w + 175. Let d(f) = -5*v(f) + 42*z(f). Let l(a) = -7*a. What is -2*d(i) - 7*l(i)?\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(2\/3))**(-1\/5)*m**(-2\/3)*m*m*m**(-2\/13)*(((m*m**(1\/2)*m*m)\/m)**(1\/14))**22 assuming m is positive.\nAnswer: m**(13763\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 4:49 PM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 97 = -68. Let x = g + -24. Is 9 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 - 90 = 21*q + 111 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2222769 >= -15559393\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 472, 5, 1, 2, 0 in decreasing order.\nAnswer: 472, 5, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3 = 0, -2 = -3*k + 4*j - 14. Let h be (-5 + 5 + k)\/(-2). Let a(n) = -n**2 + n + 24. What is the tens digit of a(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/20 and 89\/217708?\nAnswer: 1088540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 174.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -472, -442, -386, -298, -172?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + i**2 - i - 20. What is t(0)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 625788 and 64873356.\nAnswer: 194620068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 205 (b) 2\/3 (c) -2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of 4*i**3\/3 - 5*i**2\/2 + 5*i - 1. Let o(r) = 4*r**2 - 5*r + 4*r - 3*r**2 + 1. Let u = 17 - 12. Determine u*o(n) - v(n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**2*i - a**2*t**3 - 238766*a**2*t - 735*a*i*t - 40*a*t**3 + a*t**2 - t**3 wrt a.\nAnswer: 4*i - 2*t**3 - 477532*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2012013414 (base 5) to base 14.\nAnswer: -767b78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-16)\/l**(-33))\/(l*l*l**(-4\/11))**10)**(11\/8) assuming l is positive.\nAnswer: l**(7\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 = -2*w + 4*h - 11, -2*h - 94 = -4*w - 72 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15938 rounded to the nearest one thousand?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 8. Let c = p - 1. Sort -3\/4, -3\/7, c in ascending order.\nAnswer: -3\/4, -3\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -435.6 (c) -3\/14 (d) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 6.4. Let f = s - 1.5. What is f rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of 17*t**8\/168 - t**7\/210 - t**6\/30 + 806*t**5\/15 + 6*t**2 + 186*t. Find the third derivative of m(q) wrt q.\nAnswer: 2040*q**2 - 24*q - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-38 - (-15 + (-1 - -6) - 0)) + 6.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3320 + 2001?\nAnswer: -1313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-91)\/(-21))\/((-1)\/(-3)). Let c = g - 14. Is (-330 - c)*(0 + -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 4 = -2*v. Suppose 6 = f + 5*s - 38, f + v*s = 38. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 3*l. Let z be q(4). Let t(d) = d**2 + d. Let r(s) = 6*s**2 + 4*s - 2. Let n(h) = z*t(h) - 3*r(h). What is the first derivative of n(u) wrt u?\nAnswer: -12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c - 4. Suppose 4*r - 3 = -3*l, -7*r - l + 12 = -2*r. Let y be q(r). Suppose y*p - 3 = 1. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2805 and 1151523186.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5564177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -303232?\nAnswer: 303231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10\/3*a + 2\/3*a**2 - 100\/3.\nAnswer: 2*(a - 5)*(a + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((2 + (sqrt(175) + -1 + -2 - (sqrt(175) + 2*sqrt(175)*-3 + sqrt(175) - sqrt(175))) + 1)*1)**2.\nAnswer: 25200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 704?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 - 11. Suppose -s + 2*s - o = 0. Suppose 0*y - y + 3*w = -23, -3*y = -4*w - 54. What is the highest common factor of y and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -22 and -2.4.\nAnswer: 52.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 0.3, 41?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 163 + 2*y - 158 - 6*y. Let i be a(0). Solve p = -3*p - 2*o - 10, -2*p = i*o + 17 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 16 - 19. Let m = d - 9. What is the units digit of ((-20)\/(-6))\/(m\/(-216))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 2.980063kg?\nAnswer: 0.002980063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56654400 and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-56)\/44)\/(-7) - (-348725)\/770. Let c = 453 - z. What is the closest to 2\/7 in 5, -5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 77637595 and 63665?\nAnswer: 3745","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -22, -24\/23, -2, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 2*v - 25, -3*d - 18*v + 17*v - 15 = 0. Let w be -16 + 12 - -13*1. Put 15, -4, d, w in decreasing order.\nAnswer: 15, w, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*j + 5*j - 3*j)*(-1 + 3 - 3) + (-2 + 1 - 1)*(1 - 1 - 6*j) + 2*j - j + 2*j.\nAnswer: 27*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9860.838 decades in months?\nAnswer: 1183300.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 10414*c. Let z(a) = 5*a. Determine z(j(b)).\nAnswer: 52070*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - 6*v**2 + 9*v + 12. Let w be j(-7). Which is the biggest value? (a) -0.3 (b) w (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 686.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -212\/115 + 24\/23. Which is the third biggest value? (a) -0.03 (b) 3\/2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 2*a**2 + 4*a - 5. Let x(k) = -3*k**3 - 5*k**2 + 9*k - 8. What is -5*g(w) + 2*x(w)?\nAnswer: -w**3 - 2*w + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1616.339 + 4.339. Which is smaller: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 4*a**2 + a. Let o be g(-4). Let l(i) = i**2 + 3*i - 2. Let x be l(o). Suppose -x*n + 88 = 34. Is 25 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 3591?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 7*b + 2. Let n(m) = m - 1. Let p be 1 + (18\/(-21))\/((-38)\/133). Determine p*n(y) - q(y).\nAnswer: -3*y - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*y = 114, -5*y + 4*y + 5 = 0. Suppose 0 = 27*q - 26*q - d. Let n = -45 + q. What is the greatest common divisor of n and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24235611?\nAnswer: 3, 8078537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 215739 and 1746.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1546\/1115?\nAnswer: 1546\/1115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 52430 equal to 52430?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/6)\/((-24)\/(-27)))\/((-7560)\/(-1008))*1.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1507 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 194643609?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 22*p**2 + 22. What is d(22)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + (-2*sqrt(245) - sqrt(245))**2 + -1*sqrt(30)\/sqrt(6).\nAnswer: 2205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3b0c (base 15) in base 7?\nAnswer: -51525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 948 - -2?\nAnswer: 94a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 24\/10 - (-4)\/(-10). Suppose 6 = g*p + 2. Suppose -3*k + p*q + 2*q + 53 = 0, -2*q = -5*k + 79. Calculate the highest common divisor of 3 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11110000000001000 (base 2) in base 13?\nAnswer: -43c1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217 is divided by 23?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k**3 + 143*k**2 - 62*k - 7399. Determine d(-47).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 13*m**2 - 8*m - 3. Suppose -5*j + 100 = 40. What is the units digit of q(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.57 - -0.47. Let s = 7 - 4. Which is the biggest value? (a) 2\/17 (b) p (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 763.7652m to nanometers.\nAnswer: 763765200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 353356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (275\/(-20))\/((-5)\/20). Find the first derivative of 14*n**2 - 10*n**2 - 55*n**2 - f*n**2 - 79 wrt n.\nAnswer: -212*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -196\nAnswer: -1\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -62 + 66. Suppose 0 = 3*k - m*h - 145, -k + 95 = k - 3*h. Suppose -k = -0*c - 11*c. Solve 0 = 4*f - c*v + 20 - 57, -4*v = -3*f + 29 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 2*d = -426, 3*c - 240 = 3*d + d. Suppose -4*y = 4*i - 72, 12 + c = 5*y + 2*i. Let m = -6 + y. Calculate the remainder when m is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210157 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 1 = -3 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*l**2*m**2 + 15*l**2*m - 8059*l**2 - 92*l*m**2 + 6*l*m + 14*m + 2 wrt l.\nAnswer: -4*m**2 + 30*m - 16118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -54.5 times -413234\nAnswer: 22521253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 3 (b) 4 (c) 3436\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -622830.87196307.\nAnswer: -622830.47196307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**2. Let p(t) = 5*t**2 + 5*t - 5. What is p(c) + 3*q(c)?\nAnswer: -c**2 + 5*c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 91*w**2 - 18*w + 19. Let f(z) = z**2 - 3*z - 1. Let b(v) = -6*f(v) + y(v). Let k(m) = -7*m**2 - 2. Determine 4*b(h) + 50*k(h).\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*n**2\/13 + 2*n + 4\/13.\nAnswer: 2*(n + 1)*(11*n + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 372.164933 - -0.065067. Let m = l - 374. Let u = -1.7 - m. Which is smaller: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-140)\/(-12) + (-2)\/3 and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 - 162 = -9*m for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 65866\/17760 + (-3)\/12. Let t = 15\/592 - f. Calculate the common denominator of t and (-603)\/(-48)*(-2)\/(-3).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 128, 249, 370, 491?\nAnswer: 612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 6, 5, -4, -5, 16 in descending order.\nAnswer: 16, 6, 5, 4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 55707 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 5*u. Let r be n(1). Suppose -m - 12 = -r*m. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29379 divided by -3.\nAnswer: -9793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3169839.\nAnswer: 3, 1056613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r**2 - 2*r + 3. Suppose o - 7 = -12. Let v be ((-66)\/55)\/(1\/o). Suppose 11*t = 8*t + v. Calculate m(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/11 - 2595184*v\/11 - 841872499232\/11.\nAnswer: -2*(v + 648796)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 91752?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 4*m - 1. Let d be f(-7). Suppose 6*r = r + d. Calculate the remainder when 25 is divided by ((-21)\/r)\/(33\/(-88)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8460577?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = -4*g - 5*l, -5*l = 3*g - 488698 + 488731 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 99\/118?\nAnswer: 99\/118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*o - 50*o - 85*o)*(2*o**4 + 2*o**4 + 0*o**4) + (-6*o + o + 4*o)*(-2 + 2 + o**4) + 2*o**2 - 2*o**2 + 3*o**5.\nAnswer: -418*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 2\/22809, 8, 2, 0 in decreasing order.\nAnswer: 8, 2, 1\/2, 2\/22809, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8964149l to millilitres.\nAnswer: 896.4149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0573812 rounded to three dps?\nAnswer: -0.057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9000, -35398, -79198, -140400?\nAnswer: -219004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 17, w: 1}. What is prob of picking 3 i?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 11811, 14605, 19253, 25749, 34087, 44261, 56265?\n\"Answer: -g**3 + 933*g**2 + 2*g + 10877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3 + 228855*b**2 + 4364665344*b + 4364436492.\nAnswer: 3*(b + 1)*(b + 38142)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 296 (base 13) to base 5\nAnswer: 3321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*k + 764 - 770 + 2*k**2 + 111*k in the form o*k + w + n*k**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 5*c**2 + 24*c. Let n(o) = -83*o**2. What is p(n(m))?\nAnswer: 34445*m**4 - 1992*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2244, -4409, -10370, -22023, -41264?\nAnswer: -69989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6525 and 8613?\nAnswer: 215325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - 5\/((-50)\/36). Which is the second biggest value? (a) 3 (b) p (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -8*z**3 - 2*z**2 + z + 2. Let q be o(-1). Let d be -1 + q + (4 - 2). Factor -d*x**3 - 33*x + 5 + 40*x**2 + 2 - 8*x**3 + 2.\nAnswer: -(x - 1)*(4*x - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3320, 6717, 10114?\n\"Answer: 3397*f - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 16 = -2*y. Suppose u = -y, u = 2*i + 2 - 24. Solve -4*x + 3 = -i for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 3 + -41 + 32?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -4*f - 50. Let q be 779\/(-57) - 2\/(-3). Let r be j(q). Solve -r*h + 11 = 7 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(1 + (-72)\/75). Suppose w - 1 = k. Suppose h - 4*p - w = 0, 51 = 3*h + 3*p - 6*p. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 124 and 118.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/3*58\/12 and 43\/(-3)*21\/(-154).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.4, 4\/3, 2\/467, 3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 59*d**2 + 2411*d + 45. Let x be p(-46). Calculate the greatest common divisor of 237 and x.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 55 + -2. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1349 and -3763?\nAnswer: -507.6287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m**2 + 36826*m - 36940*m + 0*m**2 + 151*m**3.\nAnswer: 151*m**3 - 114*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 627 - 627 + 50*t in the form i*t + q and give i.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53270326, 106540646, 159810968, 213081292, 266351618, 319621946?\nAnswer: 372892276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*n = -107*n - 1376 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 5*s + 21. Let i be b(-3). Solve -4 = -i*l + 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-14) + (12\/7 - 2). Suppose 4*p = 5*c + 20, -5*c + 20 = 4*p - 0*c. Solve 2*z - 2*n = -10, p*z + 25 = -n - d*n for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -3*k + 52 + 72, -4*v - 96 = -2*k. Calculate the remainder when 80 is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*p = 18*p - 3*n + 4, -128*p - 4*n = -126*p + 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -458 + 462. Suppose -5*p + 20 = -0*p + 3*s, 3*p - 12 = -s. Suppose -p*w - 136 = -2*r - 0*r, 0 = -j*r - 5*w + 337. Does 23 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1564 or 1562?\nAnswer: 1564","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 24 = 2*x. Let z(k) = 326962*k**2 + x*k - 99185*k**2 + 0*k - 8. Let w be z(6). What is w rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31202 + 330221?\nAnswer: 233013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 424*y = 572*y - 3256 for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-5) - (-72)\/20. Suppose a*b - 25 = -1. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 364\/1719 + 2\/191. Let a(p) = p - 5. Let x be a(6). Suppose -u + x = 2*t, -t + 2 + 2 = -3*u. Which is greater: u or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40464 divided by -6.\nAnswer: 6744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1611933.\nAnswer: 3, 571, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*b - 2*b - b)*(0 - 2*b + 2 - 4) + (-2*b - 3*b + 4*b)*(-1 + 2*b + 1) to m*b + n + o*b**2 and give m.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 5*y + 82. Let z be i(-26). Let a = z + 48. Let u(l) = l**2 + 16. Determine u(a).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 73 + -72.8. What is the biggest value in 1, -2\/5, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*v + 45 = -30*v. Is v at most 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 7 + 27. Let s(i) = 20*i - 12. Let x be s(1). Suppose -x*q = -23 - k. Solve -q*c + 6 = -9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqqqqqq. Give prob of picking 3 q.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 425 divided by 5?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1431?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 11) to base 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/33 and 25\/48?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**3 - 4*a**2 - 3*a. Let p be -2*(-1 - -2) - 0. Let l be i(p). Suppose k = l*k. Solve k = -0*j - 3*j + 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -d**8\/168 - d**6\/60 + 41*d**5\/30 + 23*d**2. What is the third derivative of i(f) wrt f?\nAnswer: -120*f**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 541013040 (base 6) to base 16\nAnswer: 91f8f0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*s + 10*s = 21*s + 36 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.802 + -0.812. Let k = -5 + h. Let r = -4 + 1. Sort 3\/2, k, r in decreasing order.\nAnswer: 3\/2, k, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 9*y**2 + 10*y - 3. Let r be o(10). Let a = -6 - r. Let j be ((-6)\/10)\/((-3)\/(-15)). Do a and j have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r**2 - 5*r**2 + 1257*r**3 - 1259*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(12\/17))\/r*r*r\/r**(-4\/21) assuming r is positive.\nAnswer: r**(1034\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(8\/7)*t**(-18))\/((t\/t**2)\/t)**25)**31 assuming t is positive.\nAnswer: t**(7192\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17312\/(-1)*((-408)\/16)\/17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*v**2 - 4*v + 4*v + 37*v**2.\nAnswer: 26*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3614 = 27*y + 2083. Sort -0.2, 3\/2, -5\/3, 5, y in increasing order.\nAnswer: y, -5\/3, -0.2, 3\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pv when two letters picked without replacement from vpvpvv.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 228980 and 48?\nAnswer: 2747760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 2 = 2*x + 5*s, 5*s + 5 = 0. Solve x = p - 4*g, -5*g - 8 = -5*p + 7 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*z - 191*z + 35100 = 0. Solve z*n - 674*n - 3 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - -6738) + -2 + 2 + 3. Suppose 5*v - 3365 = -c, c - 3*c + i = -3*v. What is c rounded to the nearest 100?\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 51 and 3111.\nAnswer: 3111","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 e, and 1 c when three letters picked without replacement from {f: 6, e: 6, a: 1, c: 1, n: 1}.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -36. Let v = -25 + u. Solve v = 2*x + 5 + 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1248406802?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 229493213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*o**5 - 4*o**5 - 3*o**5 + (-4*o**2 + 2*o**2 + 3*o**2)*(-4*o**3 + 2*o**3 + o**3) + (-4*o**3 + 10*o - 10*o)*(-15*o**2 - 12*o**2 + 6*o**2).\nAnswer: 81*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70571.\nAnswer: 70571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 3*c - 149, 0 = -2*c + 3*w - 0*w + 131. Suppose -c = -154*b + 125*b. Solve -b = 4*h - 2*x, 0*x = 2*h - 2*x for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -8*x**2. Let n(m) = m**2 - 8*m + 4. Let r be n(9). Let g(t) = r*t**2 - 26*t**2 + 16*t**2. Give g(b(w)).\nAnswer: 192*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*a**2 + 164*a**2 - 43*a**2 - 36*a**2 - 38*a**2.\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 0.1 (c) 1 (d) 9021.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/9 or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 9065, 18131, 27197, 36263, 45329?\n\"Answer: 9066*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11864 and 704.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*x + 45*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -x**4 - 690*x**3 + 44587*x**2 - 911124*x + 6083100 = 0.\nAnswer: -751, 18, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/8 of a kilogram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 3 = -11. Let d = 6 + m. Solve -f + 7 = 2*a, 2*a - 3 + d = -5*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 4*b - 1590. Let j(t) = 8*t - 3183. What is -5*h(i) + 3*j(i)?\nAnswer: 4*i - 1599","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 134*b + 444*b + b**2 - 2*b**2 - 889*b to the form w*b + x + t*b**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2187) - (sqrt(2187) + sqrt(2187)*-1 - sqrt(2187)))\/(sqrt(27)\/(sqrt(3)*3)).\nAnswer: 54*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 25, 59 = 3*a + 3*f + f. Suppose -82 - 18 = -5*b. Let v(u) = -8*u - 2 + b*u - a*u. Determine v(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 34 = 14*w - 16*w, 4*w + 58 = 3*z. Calculate the remainder when 273 is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -32\/3? (a) -5 (b) -0.5 (c) -0.3 (d) -3 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - (-1 + 20\/(-11)). Which is the biggest value? (a) 5\/4 (b) g (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1227683?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46212606 and 2673?\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.047158 and -2.1?\nAnswer: 0.0990318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -112 (b) 12 (c) -0.2 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-83316)\/5502 - (-2)\/14?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-6) - (-238)\/92?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43*n**6 + 4*n**5 + 45*n**3 + n**2 + 58*n + 7?\nAnswer: -5160*n**3 + 240*n**2 + 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -0.015, -1\/2, -2\/7 in descending order.\nAnswer: -0.015, -2\/7, -1\/2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -195176\nAnswer: -3\/195176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -29*h**6\/40 - 8*h**4\/3 + 36*h**2. What is the second derivative of r(t) wrt t?\nAnswer: -522*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + -1 - (-5)\/11. Let x be (-3)\/12 - 28\/(-16). Let r be ((-26)\/(-52))\/((-2)\/(-12)). Put x, g, r in increasing order.\nAnswer: g, x, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q + 7. Let l = -30 + 20. Let p(d) = -2*d**3 - 19*d**2 + 9*d - 11. Let x be p(l). Let b be -12 + 9 - 8\/x. Determine c(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -4*q + 3. Let u(d) = 5*d - 4. Let w(k) = -4*i(k) - 3*u(k). Let r(c) = 5*c**2 - 28. Give r(w(n)).\nAnswer: 5*n**2 - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 + -24 - (-11 - 5 - -5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19994581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12 or -14?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -5*x + 107. Let g = 116 - 98. Let j be t(g). What is the highest common divisor of j and 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1225424 divided by -8816?\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -117 - -97. Let z = -75\/67 + -4377\/938. Find the common denominator of z and 4 - (u\/(-24))\/(-1).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 31.75343 and -7.73775.\nAnswer: 24.01568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x - 79 = -9. Let y = -2735 - -2734.9. Put 5, -1\/11, y, x in ascending order.\nAnswer: x, y, -1\/11, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w**3 + 4*w**2 + 5. Let z(y) = -y**3 - y + 1. Let l(p) = -a(p) - 2*z(p). Suppose 2 + 13 = -3*v. What is the units digit of l(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -19*n**3 - 8*n**2 - 11*n - 42. What are the prime factors of k(-7)?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = 144*o + 161*o - 321*o. Let r(v) = -v**2 - 2*v + 70. Determine r(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/(-504) - 2) + 2?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -211011103?\nAnswer: -211011104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -158.\nAnswer: -632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29.5 - 153.2. Let p = x - -130. What is p rounded to zero dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -129*j**4 + 12*j**5 - 2*j**5 - 3*j**5 - 11*j**5 - 1886*j**2 wrt j.\nAnswer: -240*j**2 - 3096*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 364.3532 nanograms to micrograms.\nAnswer: 0.3643532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 77 + -77. Suppose -15*o + 26*o - 3014 = j. Is o a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3*h - 48, -8*z + 9*z = 0. Let f(n) = -n - 18. Give f(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6048)*-1)\/(1*sqrt(150)) - (-2*(sqrt(84)\/sqrt(3) + sqrt(28) + (sqrt(7) - sqrt(112))*4) + 4))**2.\nAnswer: 736*sqrt(7)\/5 + 59648\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -10*h**3 - 2*h**2 + 19*h + 9. Let s be f(4). Let r = 1059 + s. Does 50 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 1 = -5*r + i, -3*r + 5*i = 5. Let u = -33 + 3. List the prime factors of u\/(-3) + -2 - r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3005*n**5 + 15*n**2 + 46*n?\nAnswer: -180300*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3530 - 1289. List the prime factors of b.\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1*(-3 - -2))\/(-1). Let k be s\/3 + 52\/6. What is the highest common divisor of k and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4538*b - 588 = -4566*b for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**2 + 5*m - 4. Let r(w) = -w**2 - 2*w + 2. Let g(b) = 5*r(b) + 2*z(b). Differentiate g(d) with respect to d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -31*q**3 + 2*q + 1. Let j = -84 + 89. Suppose 8*h + 147 = 5*m + 9*h, 0 = j*m - 2*h - 156. Calculate the smallest common multiple of m and r(-1).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3491 = 3*x + 3*i - 574, -i = 4. Suppose 20*q - x + 239 = 0. What is the remainder when 267 is divided by q?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 1 - 6 = 0. Suppose 60 = n*q - 4*q. Calculate the remainder when q is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -134 + 142. Solve -i = -5*u - x + 21, -21 = -5*u + x for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, b: 6, y: 2, v: 3}. What is prob of picking 1 d and 1 v?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1563235 > -1563235?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3 + sqrt(8) - (1 + sqrt(8) + -2*sqrt(8)).\nAnswer: -2 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/(-3)*(-3)\/(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3467051050 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*h**2 - 18*h**2 + 37*h**3.\nAnswer: 37*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2990\/11 + -272. Let s = -4.7 - 0.3. Which is the nearest to 0? (a) r (b) 0.1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 17, 36, 63, 98?\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i. Let x(b) = 3*b - 5. Let a(q) = 2*q - 4. Let k(l) = 5*a(l) - 4*x(l). Determine p(k(d)).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -10, -49, -114, -205, -322, -465, -634?\n\"Answer: -13*x**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*d - 3. Suppose -d*o = 495 + 825. Round o to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 8154, 16295, 24424, 32535, 40622, 48679?\n\"Answer: -u**3 + 8148*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/5472 and -17\/2736?\nAnswer: 5472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*l - 121. Sort -1, l, -3.\nAnswer: -3, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/11080500 and -167\/252.\nAnswer: 232690500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 10. Let u(d) = d + 11. Let l = -13 + 6. Let p(g) = l*c(g) + 6*u(g). Let t be p(4). Solve -5*m - t = -0*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*(10\/4 + (-9)\/6). Let z(l) be the second derivative of 0 + 0*l**2 - 1\/6*l**x + 2*l + 1\/12*l**4. Factor z(i).\nAnswer: i*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 0.4, 1\/7, 3\/4, 24\/13, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 - ((-94 - -51) + 27).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 40 + 3)*(-1267*b - 8*b**3 + 1267*b + 7*b**4).\nAnswer: -210*b**4 + 240*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.08 (b) 4.2 (c) 0.1 (d) 0.2 (e) 1\/22\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000339651 rounded to five dps?\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 2:44 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -2*l + z + 13, -2*l - 5*z - 14 = 0. Suppose l*f + 3*p = 123, -5*f + 4*p + 0*p = -160. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 - 6. Sort -2\/7, t, 2\/11 in decreasing order.\nAnswer: t, 2\/11, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 4446*d + 1978520. What is i(-445)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219 is divided by (-3)\/(-12) - ((-537)\/12 - -1)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -7. Suppose -t + 6*t - 70 = 0. Let k be ((-4)\/t)\/((-1)\/14). Sort y, k, 2.\nAnswer: y, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.015652301 rounded to 4 dps?\nAnswer: -0.0157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1431030343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -67 equal to -67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 0.4, -13119, 14\/55?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2 = 2*b, b + 3*b - 4 = -5*i. Suppose -3*s - 6 = 0, -r + 2*s - 4 = b. Let u(v) = v**3 + 9*v**2 - 8*v - 12. Does 20 divide u(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d + 6. Let v be n(-7). Let f(m) = -3*m**2 - 8*m - 1. Let o(z) = -32*z - 5. Let r(q) = 13*q + 2. Let a(c) = -2*o(c) - 5*r(c). Give v*f(y) + 6*a(y).\nAnswer: 3*y**2 + 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-4)*204\/765?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 87 + -21. Suppose 2*t + t = h. Suppose 18656*f - 9468*f = 9339*f. Solve 3*d + 5*c - t = f, c - 27 = 2*d - 4*c for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3305098 is divided by 276?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 21905, 21903, 21899, 21893, 21885, 21875, 21863?\n\"Answer: -h**2 + h + 21905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -6*4*((sqrt(1088) - (sqrt(1088) + sqrt(1088) + -1 + sqrt(1088) + 1 + sqrt(1088) - sqrt(1088)))*-5)**2 + 0.\nAnswer: -2611200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -35*j + 6. Let p be o(2). Let b = 84 + p. Let n(q) = -32 - 32 - b*q + 64. Let h(a) = -a. What is h(n(y))?\nAnswer: 20*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-3))\/(22\/54)*((-40)\/(-4))\/20?\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6780)\/8)\/(66\/(-8)). Let d = h + -199\/2. Calculate the common denominator of d and 182\/4 - (0 + 4).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6430891.24 - 0.6.\nAnswer: 6430890.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*p - 10*p + 4*p.\nAnswer: 71*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1803255829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49 - (46 - (-48 + 20))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -480.9999773 - -481. Round u to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 4*z**2 + 2*z + 2. Let s be p(-1). Suppose -2*q - s*a = -128, q - 2*a - 368 = -4*q. Let c = q - -3. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = v - 8 - 5, 2*a - 12 = -4*v. Suppose -2*s + 5 + v = 0. Suppose -3*r - s*p = 2*p - 56, 5*p + 10 = 0. List the prime factors of r.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 10) to base 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10, -109, -376, -895, -1750, -3025?\n\"Answer: -14*j**3 - j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -117*h**2*m*y**2 + 104*h**2*m*y + 4892*h*m*y**4 + 14*h*m*y - 5*h*m + 1 wrt y?\nAnswer: -234*h**2*m + 58704*h*m*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 593623367 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + sqrt(16)\/(sqrt(8) + (sqrt(128) - sqrt(8)) + sqrt(8)) + sqrt(4)\/(sqrt(6)\/sqrt(3)))**2.\nAnswer: 242\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + f - 5434 = 0, -i + 3*f = 2*f - 1088. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - 5*v + 3*v)*(-2*v - 2*v**3 + 2*v)*(42*v + 11*v - 7*v).\nAnswer: 184*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.786 + -0.214. Sort 5, 0.3, m, -0.4.\nAnswer: m, -0.4, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4621345 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1256 - 1256. What is the smallest value in 3, -12, n, 2\/11, 5?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2 + -3 + (-1 + sqrt(1584) + -4)**2 + -3*(sqrt(1584) + sqrt(1584)*-2)*3)*-6.\nAnswer: -9627 + 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -216 + 96816*f**3 - 96818*f**3 + 61.\nAnswer: -2*f**3 - 155","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(((sqrt(75) - (sqrt(75)*-2 - sqrt(75))) + 5 + -2 - -4*1*sqrt(75)*6) + -5))**2.\nAnswer: -14000*sqrt(3) + 1470100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3*g**2 + 0 + (2 + 5 - 3)*(-20*g**2 + 10*g**2 - 2*g**2) + 0*g**2 + 3*g**2 - g**2)*(2 - 3 - 1).\nAnswer: 86*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2 = -54. Calculate the remainder when x is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8900 and 0.2?\nAnswer: -1780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) -3 (b) -0.12 (c) 1\/13 (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -122740 - -223343. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10511.72696 to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -424\/7 or -62?\nAnswer: -424\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((-11*(-33)\/121)\/(-1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 5*h - h. Let i be 16\/(-5) + (-2)\/h. Let d be (-1)\/i - (-176)\/12. Solve 0 = 5*n + 2*r + 3, -4*r - d = n - 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.23231 and -55480?\nAnswer: -12888.5588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 - 25*a - 16 - 43*a in the form o + i*a and give i.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1456, 3827, 8156, 15421, 26600, 42671, 64612?\n\"Answer: 163*u**3 + u**2 + 1227*u + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 1438.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5e + 10?\nAnswer: -4e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*f**2 - 6*f**2 + 0*f**2)*(-2*f**2 + f**2 - f**2) + (-2 + 1 + 10)*(-1 + 1 + f**4) to k*f**3 + p*f + j*f**2 + b + q*f**4 and give q.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 20.11 (b) 1\/7 (c) -0.5 (d) 5 (e) 3\/2 (f) -61\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2262 times -16280?\nAnswer: -36825360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 2 (c) 0.14 (d) 5 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 10*g - 24. Let l be -1 + 0 + 12 + -3. What is the tens digit of n(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 974344 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -17*u**4\/4 - 4*u + 2620. Let h(n) = 135*n**3 + 33. Determine -4*h(k) - 33*r(k).\nAnswer: 21*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 10:57 PM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/42 + 5 - (1 + 3)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 18*m**2 + m - 4. Let v be u(2). Suppose -5*z = 2*g + 86, 9*z = 5*z - g - v. Which is the nearest to 0.1? (a) 3 (b) -4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {i: 1, w: 7, s: 5}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(11) + -5*sqrt(99) - (2 + sqrt(11) + -2))**2.\nAnswer: 14850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14*(-3)\/3 - 1. What is the units digit of 6\/(-8)*1440\/i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 10:38 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 199369 + -199364. Let n(b) = -b - 3. Let u be n(-6). Solve y - 19 = u*t, -3*t = -k*y + 2*t + 45 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 10.99967 years?\nAnswer: 0.01099967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 10 = 2*k, -3*g + 14 + 1 = -5*k. Suppose -2*s - 996 = -4*m, m - s - 196 - 51 = k. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 244 (base 10) to base 12\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6225986*j**3*y - 7033*j**2*y + 749*j*y wrt j.\nAnswer: 37355916*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-20)\/(-8)*18\/(-10))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 8, a: 1, z: 3, o: 3, m: 4}. What is prob of picking 1 a, 1 z, 1 m, and 1 o?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-10 - 47 - 2) - (11 + (-6 - 7))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**3 + 3*w**2 - 1. What is x(2)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-8) - (-9)\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from {d: 10, b: 4}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 2*u + 1)*(6 + 0 - 4) - 3*u + 3*u + u)*(3 + 4*u + 3*u - 1).\nAnswer: 35*u**2 + 10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 10:27 PM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.251 + -0.049. Which is the closest to -8? (a) i (b) 0.2 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -189753496 - -6072697475\/32. Let a = 18303 - l. Calculate the common denominator of a and 101\/12.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2484956?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 726 and 847?\nAnswer: 5082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*w = -2539 - 269. Calculate the highest common divisor of w and 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8 - (-8 - -7))\/(6 - (1 - -4)). Solve 4*u - 5*l - c = -0*u, 0 = 3*u - 3*l - 6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 5*j - 3*f + 10, 0 = f + 3. Let s be (-15)\/(-6) + -3 - j\/2. Solve r - 7 + 0 = 4*v, -3*r - s*v - 11 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 209\/5 (b) -4\/5 (c) 0 (d) -0.5 (e) 1 (f) 168 (g) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3740901, -3740968, -3741035?\n\"Answer: -67*l - 3740834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*d*t**4 + 3*d*t**2 - 425*d + 9*t**2 wrt t?\nAnswer: -12*d*t**3 + 6*d*t + 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*i = -29*i + 3*j + 20, 2*i + 2*j - 4*j - 86 = 7*j for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of 3*y**8\/560 + 23*y**5\/60 - 4*y**4 - 14*y. Let o(c) be the third derivative of m(c). Differentiate o(w) with respect to w.\nAnswer: 108*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 6*m. Determine c(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 107686121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*n + 1026 - 706 = 0 for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of -i**2\/2 - 5*i + 2. Let v(u) = u**3 - 11*u**2 + 10*u + 4. Let s be v(10). Determine p(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*v - 23 + 50 - 29)*(-5 + 6 + 3)*(-2*v - v + 6*v) to the form x + z*v**2 + t*v and give t.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5215 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48 + -32. Calculate the remainder when 44 is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-6*((sqrt(240)\/(sqrt(10) - (sqrt(10) + (sqrt(10) - (sqrt(10) - -5*sqrt(10))))))\/(5*sqrt(300)))**2.\nAnswer: -12\/3125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258*o - 318*o + 20496 = -585*o - 329*o for o.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(99) - (0 + sqrt(99)))*-2 - sqrt(99))*-1)**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 + -0.1. Let c = -5.1 - -0.1. Let f = c - -5.5. What is the third biggest value in g, f, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -22*c - 1. Let j(y) = 3315320*y. Determine j(p(q)).\nAnswer: -72937040*q - 3315320","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8339 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*g**2 + 28*g**2 + 9*g**2 + 2*g + 3)*(-2 + 3 + 1) - 4*g**2 - 2*g**2 + 4*g**2.\nAnswer: 38*g**2 + 4*g + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -18\/64484407 and 149\/6?\nAnswer: 386906442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2 + 6*sqrt(162)*-1)*-2 + 2.\nAnswer: 10 + 108*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -25\/22 at most 158390?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -32? (a) 0.746 (b) 2.4 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24127111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 581784522 and 1254.\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.179 + 1.179607. Round s to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.4 - 0.6. Let b = 0.2 - n. Let i = 0.3999 - b. Round i to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7930 - 18*s - 2*s**2 + 7930)*(0*s**2 + 6*s**2 - 4*s**2) in the form q*s**3 + i*s**4 + b + m*s**2 + h*s and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/8 in 0.118, 23146, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -10*((-36)\/15 - -2). Let u = j - 5. Let r = -1.9 + 1.9. Which is smaller: u or r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1455516 - 1455516 - 4*q**3 + 3*q**3 - 5*q**3.\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -958*q + 958*q + 23*q**2 as l + g*q + x*q**2 and give x.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46.45 - 51. Let z = h - -4.05. What is the second biggest value in z, -4, -16?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k + 9. Suppose -421*d + 580*d - 3816 = 0. What is the remainder when d is divided by o(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41 (base 11) to base 3.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -20 * 0.084043\nAnswer: -1.68086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -144 by 565.\nAnswer: -144\/565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 80\/10*(-72)\/(-192)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 divided by -436760.\nAnswer: -13\/218380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n. Let b(i) = -5*i - 5. Let y(w) = 6*w + 12. Let h be y(-3). Let x(k) = h*q(k) + b(k). Calculate the least common multiple of x(16) and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -56 - -105. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from brbyrrrb. Give prob of picking 3 r.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -5*l**2 - 3*l - 3. Let a(b) = -b**2 + b - 1. Let y(q) = 4*a(q) - o(q). Calculate y(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -50, -71, -100, -137, -182?\nAnswer: -235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.6106 take away -4927?\nAnswer: 4923.3894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**3 - 51*k + k**4 - 1 - 59*k + 112*k - 13*k**3 - k**2 to s*k**2 + p*k**4 + v + f*k**3 + t*k and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1610 * -0.071\nAnswer: 114.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from luzma. What is prob of sequence laz?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1468337231 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1666, 3\/4, -3, -4 in descending order.\nAnswer: 1666, 3\/4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3920331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**2\/17 - 1421756*s\/17 - 252673765442\/17 = 0.\nAnswer: -355439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -49 - -238. Suppose -7*j = 20*j + c. Let u(d) = -5*d - 8. Calculate u(j).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**4\/3 + 26*h**3\/3 - 65408*h**2\/3 - 1172264*h\/3 + 868640 = 0.\nAnswer: -178, -20, 2, 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -b9a86 (base 15) in base 7?\nAnswer: -5004012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -72+-0.1\nAnswer: -72.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*c + 13*c**2 + 0 + 2*c + 13 - 11 + 17*c**2 as b*c**2 + p*c + v and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 110.2687 millennia?\nAnswer: 1323224.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16445700 and 2100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 533*h**3 + 2 wrt h?\nAnswer: 1599*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 725\/(-116)*(-1584)\/220.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 4 - 2*h**2 + 3*h**2.\nAnswer: h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (9 - 9 - -5 - 0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 - -10111001?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43 - -45. Let u(h) = 1471*h - 1471*h + 2*h**o. Give u(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1985*j = 1978*j + 42. Solve -j*g - 4*g = -40 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -34298 equal to -34298?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*u = -6*u - 18*u + 1918 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 12, k: 6}. What is prob of picking 1 k and 2 r?\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 308 and 25037012?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3122.000001441 - 3122. Round v to 7 decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*m + 7176 = -94*m. Suppose 1495 = 5*c - 2*y, -5*c + 4*y = -c - m. Is 55 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5\/95 - (9854150\/(-190) - -1)?\nAnswer: 7, 31, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2622 and 213408?\nAnswer: 4908384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of 1\/20*a**5 + 1\/3*a**3 - a**2 + 0 - 1\/4*a**4 + a. Suppose -4*u = 5*t - 38, 2*u + 90 - 112 = -3*t. Determine m(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6672?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r*r\/r**(1\/3)*r)))**(-3\/8)\/(((r*r\/(r**1*r*r))\/r)\/(r\/((r\/(r*r*r**(-6)))\/r))) assuming r is positive.\nAnswer: r**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 4. Let r be -10*(6\/i - 2). Suppose 28*z = -3*z - 9*z - 200. Which is the nearest to -2? (a) r (b) z (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 + 2*(-3)\/6. Suppose -8 = -m + 2*i + a, 3*m = -5*i + 80. Suppose 0 = 3*w - 5*b - m, -w + 0 + 3 = 2*b. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15357 + -15239. Calculate the remainder when 3185 is divided by m.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -89140 + 89139.99100048. Let v = -9.991 - -10. Let c = r + v. Round c to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/195592 and 91\/2852?\nAnswer: 6063352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9 + 28\/(-21)*3. Let m be a + (40\/(-6))\/((-4)\/6). Solve 14*f + 2 = m*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d = -13*d + 3*y + 977, -2*d + 972 = -4*y. Calculate the greatest common factor of 32 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and 0.32615.\nAnswer: -1.67385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n. Let o(y) = y - 1. Let v(l) = -2*l - 1. Let a(i) = -2*o(i) + v(i). Calculate -2*a(b) - 11*t(b).\nAnswer: -3*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4505 + -2682. Round f to the nearest one hundred.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11.766 - 3.766. Which is the closest to -6\/19? (a) r (b) -3\/8 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/2 + (-48)\/(-32)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 - 50?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1705\/63 + -241\/9. Solve z*v**3 + 2\/7*v**2 - 4\/7*v + 0 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-18)\/12*(-4)\/(-3). Calculate the common denominator of (-2)\/(-6)*(-78)\/24 and 147\/30 + 1*y.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1931 - -1933. Solve -s*c - 2 = 0, -3*c + 7 = -h - 7*c for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -22a3 + -b27?\nAnswer: -30ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38216462.\nAnswer: 2, 1051, 18181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.9 - -4.9. Which is the nearest to -4? (a) s (b) -0.1 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -631 - -634. Solve -5*z - 2 = j for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 - 19. Solve a = -g*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105626 is divided by 13196.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 68*n**4 + 122*n.\nAnswer: 816*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of -33*q**5\/5 + 13*q + 6. Differentiate r(w) with respect to w.\nAnswer: -132*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -86*r - 3872*r - 778*r in the form b + t*r and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1465 minus 0?\nAnswer: -1465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of 0*z**5 + 0*z**2 - 2*z + 0*z**6 + 0 - 1\/14*z**7 + 1\/6*z**4 + 0*z**3. What is the third derivative of t(c) wrt c?\nAnswer: -180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9754?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 7, u: 2, i: 1, x: 3, m: 3, c: 3}. Give prob of picking 2 u, 1 y, and 1 m.\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1148 a factor of 43378328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -202851 divided by 27?\nAnswer: -7513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 3:57 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*t - 1584 = 5*t + 41*t. Solve 20*r + t = -28 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/84)\/(5\/(-7))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 244444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35 + 145. Suppose -v + 14 = -5*f - 2*p, 2*p + 12 = f. Does 2 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11\/3 - 7\/2. Let p = 9 - 9.5. Let m = 3203\/2 - 1601. Put p, z, m in increasing order.\nAnswer: p, z, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - -5)*(-5)\/(-105) + 6\/14. Sort 0.3, o, 1\/39.\nAnswer: 1\/39, 0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225 = -25*o - 5*q, 2*o + 2*q - 31 - 34 = -3*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -461, -458, -457, -458, -461, -466?\nAnswer: -473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 12:18 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - -493?\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2330021 - -10300?\nAnswer: -2313121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - (-1 + -1 + 0). Let k(b) = -5*b + 2. Calculate k(z).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -474.99 - -475. Do l and -12 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6166807?\nAnswer: 683, 9029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2 = -17. Suppose -238 = k*r - 883. Suppose 4*u - 43 = r. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167*o + 164*o = -9. What is the smallest value in 2, -2\/23, o, -2, 35?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 125 = -4*w, -43 = -2*w - 5*v + 30. Let z = 14 + 1. Let l = z + w. Does 11 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 6. Suppose -2*l + 2*x + 2 = -4, -5*l - p = 4*x. Let h be 4 - (-1)\/3*l. Let v(s) = -s - 1. Give v(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {q: 7, p: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 7870860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -259.5 and -7697.\nAnswer: -7956.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 622*g + 2*c = 627*g - 19, 9 = 3*c for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 6 - (-1 - (3 + -6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7510 - -7778. Solve -265*b + p*b + 21 = 0 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -85, -62, -51, -58, -89?\nAnswer: -150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = h - 178. Suppose -8*z = -h + 46. Does 4 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 215988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -317 + 477. Sort -2, 2, u in ascending order.\nAnswer: -2, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*o + 66*o - 18*o - 25*o.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2135?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12218 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: Solve 28*c + 48 = 36*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((135\/12)\/(-5))\/((-1242)\/(-144) + -9).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -68, 3, 5, 0, -5116 in descending order.\nAnswer: 5, 3, 0, -2, -68, -5116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7905.164g to micrograms.\nAnswer: 7905164000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (3 - (6 + 17 + -4) - -5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14142 + 1616. Suppose -6523 = -21*z + a. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 10) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57, -3, -4, -5, 8, -578, -2.\nAnswer: -578, -5, -4, -3, -2, 8, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39377704?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 45, 148, 283, 420, 529, 580?\n\"Answer: -5*l**3 + 46*l**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 9*q**2 + 11*q + 105. What is a(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (30 - (-1330)\/(-42))*(-192693)\/5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1927.957568 from -1.\nAnswer: 1926.957568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*q**2 - 24*q**4 - 3 - 10*q**2 + 4 to v*q**4 + s*q**2 + m*q + u*q**3 + k and give v.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 5*u + 59. Calculate b(4).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*p**3 - p**2 + 551*p + 295 wrt p.\nAnswer: 27*p**2 - 2*p + 551","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 149335?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h\/(h*((h*h*(h\/h**(3\/8))\/h*h)\/h)\/h))*h)\/h)\/h*h*h**(-1\/3))\/(h*(h**(-1\/3)\/h*h)\/h*h)**47 assuming h is positive.\nAnswer: h**(-721\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85837, 86321, 86809, 87301, 87797, 88297, 88801?\nAnswer: 89309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*x**2 - 29*x**3 + 14*x**3 + 6 - 2.\nAnswer: -15*x**3 - 31*x**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**2 - 4*a**4 + 2 - 27*a**3 + 7*a - 8*a - 3 - 1 + a**4 to k*a**4 + g*a**3 + h*a**2 + p + x*a and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 p, and 1 l when three letters picked without replacement from iittcytpiyilyiypii.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*u - 9*u**2 - 29*u**2 - 37873 - 8*u**2 + 37873.\nAnswer: -46*u**2 + 10*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9512 = -2087*l + 17042 + 36056 for l.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-384)\/160)\/(((-9)\/15)\/(-3))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.03343 + 220.66657. Let t = x - 221. Which is the biggest value? (a) 4 (b) t (c) 0 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 90 = -62. Suppose -4*y + 5*o = -166, -2*o - 10 = -n*o. Round y to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 372.9143ng to tonnes.\nAnswer: 0.0000000000003729143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30000678 + -16911678. What is t rounded to the nearest one hundred thousand?\nAnswer: 13100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24524 = -40*u + 49836. What is the greatest common divisor of u and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 9677, 77399, 261233, 619241, 1209485?\n\"Answer: 9677*l**3 - 6*l**2 + l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2627.\nAnswer: 37, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1373136, 2746273, 4119410?\nAnswer: 5492547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(((t\/t**32)\/t)\/t))**(3\/8) assuming t is positive.\nAnswer: t**(51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w - 8 = -5*w. Let l = 1210 - 1169. Sort l, w, 3, 2 in increasing order.\nAnswer: w, 2, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 6 = 10. Let j be (175\/28)\/(p\/6880). Round j to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-10)*(-55)\/3.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 737 - 4?\nAnswer: 733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 580440 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5315 divided by 7\nAnswer: -5315\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 64 + -36. Let d = 30.9 - r. Let b = 3 - d. Which is greater: b or 0.06?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 1 = -3. Let q = 10153\/71169 + 2\/10167. Which is the closest to y? (a) 0.5 (b) 2\/19 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 397 divide 225496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75588 is divided by 65?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 - 51*o + 86. Let w be u(49). What is the remainder when w*(-42)\/(-18)*-6 is divided by 35?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -143675*x**4 - 366336 wrt x.\nAnswer: -574700*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 6*k**2 - 6*k + 1. Let b be h(-5). Let c(p) = -2*p + 12. Let f be c(b). Solve 3*s - s - 8 = f for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2742*k + 2774*k - 544 = 0 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.19 + -0.19. Which is bigger: -2\/15 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus -0.05061039604?\nAnswer: -5.05061039604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59*0.2.\nAnswer: -11.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92, 108, 94, 50, -24?\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.04 (b) -0.1 (c) 0 (d) 3 (e) -2\/3 (f) 9 (g) -10022\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 - 612 = -5*j. Let d be 540\/80 - (-1)\/4*-3. Suppose -3*u + 21 = d, 37 = 2*z - u. Calculate the remainder when j is divided by z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 27 = -3*m, 5*m + d - 18 = -3*d. Suppose 5*a + 10 = 5*i, -3*i = -5*a + m*a - 6. Solve -2*z = i*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -18*c**2\/25 - 1322*c\/25 - 584\/25 = 0.\nAnswer: -73, -4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4038562, -4038563, -4038564?\nAnswer: -4038565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209 is divided by 71.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4\/13 (b) 0.1 (c) -7186659\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7160466 is divided by 511460.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + f = -3*h + 206, 0 = -3*h - 3*f + 222. Calculate the highest common divisor of 180 and h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, u: 17}. Give prob of sequence vuvu.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 9:56 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 9*i**2 - 9*i - 9. Let b be t(-8). Is b + -1 + 87 + -4 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(3\/5)\/m**(2\/11)*m**(5\/9)\/m*m\/(m\/(m**(-4\/11)\/m)*m))**(3\/16) assuming m is positive.\nAnswer: m**(-1183\/2640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.043434 + 0.2?\nAnswer: 0.243434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)\/sqrt(3))\/sqrt(2) + -1*(sqrt(11) + sqrt(22)\/sqrt(2)))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.38 + -1.38. What is the smallest value in 5\/3, -3\/2, b?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*(-3)\/(-9) - -105. Suppose -17*s + o = -12*s. Is 7 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000100 (base 2) in base 15?\nAnswer: -8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 95*f - 35904 = -287*f. What is the remainder when f is divided by 73?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310 a factor of 34695820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -349\/10 - -69\/2. Suppose -b - 3 = 0, -4*b = -4*p + 1 + 7. Let v(y) = y**3 + y**2 + y. Let k be v(p). Which is greater: a or k?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 - 104*t + 104*t + t**2)*(-155*t**2 + 48*t**2 + 75*t**2) to n*t**4 + m + g*t + r*t**2 + h*t**3 and give n.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 324 + -330. Is d less than -9\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 - (-40 - -42 - 51).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -4*p**3 + 6*p**2 - 18*p + 33. What is a(5)?\nAnswer: -407","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 6 - 2)*(28*z + 11*z + 122*z).\nAnswer: 644*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - -2 - (31 - 40)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 54 = -3*m, 0 = c - 3*m + 5*m - 11. Let g be 10\/(-3)*c\/(-10). What is the units digit of g\/(10\/3)*20?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*l**3 + 12*l**3 - 20*l**3 + 16*l**3.\nAnswer: 38*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 408*r**2 - 830*r**2 + 401*r**2. Let m(b) = -b. What is m(h(v))?\nAnswer: 21*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, -3\/5, -4 in decreasing order.\nAnswer: 51, -3\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1305 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c = -8*c - 153. What are the prime factors of c?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -879 and -5253.21?\nAnswer: 4374.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 6:45 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/5 (b) 5 (c) 51.92 (d) -1 (e) 0.81 (f) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**3 + r**2 - r**2)*(r + 2*r - 4*r)*(0*r + 3*r - 6*r).\nAnswer: -6*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Is 6277837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 11286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 250 - -3?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 + 4453614*o - 48989875.\nAnswer: (o - 11)*(o + 4453625)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -0.4 (b) -3\/2 (c) -2\/19 (d) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 + 4)*1\/(-2). Differentiate 4*s - 3*s + 5*s + y*s + 1 with respect to s.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -52567\/2, 0.1?\nAnswer: -52567\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 529577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(8\/11))**12*(b**(-2))**25 assuming b is positive.\nAnswer: b**(-454\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/423 and -76\/4653.\nAnswer: 4653","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7827 is divided by 17.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1516?\nAnswer: 2, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15343 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*d**2 - 26*d**3 + 15*d**3 - 7*d**3 wrt d.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 0 = 2. Let l be -1 + 3 - 26\/x. Let f = -1699 - -1700. Is f at most as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, 0.5, 2\/19, -0.03.\nAnswer: -0.6, -0.03, 2\/19, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/34)\/(-2)*(136 + -134).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3c4 (base 14) to base 6.\nAnswer: -3304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**2)\/j**4)**(32\/3))**(-2\/35) assuming j is positive.\nAnswer: j**(64\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7829780 to the nearest integer?\nAnswer: 2798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/7 in 3, 1\/2, -1\/7, -1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/514 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 6:34 PM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 766*g - 1. Let z(m) be the third derivative of m**5\/30 + 859*m**2. What is l(z(x))?\nAnswer: 1532*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*q**2 + 8*q**2 - 2*q**3 - 3 + q**4 - 2 as f*q**4 + o + k*q**3 + n*q**2 + u*q and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -238*b + 176208. Give h(740).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a century in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3958?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/7 (b) 9 (c) 1\/4 (d) 36 (e) -77 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -45372 divided by 15124\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 4*m + 66 + 55, -3*m + 2*j - 112 = 0. Let v(d) = -d**2 - 5*d + 16. Let q be v(5). Let h = m - q. Solve h = -7*c + 4*c + 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59804?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1448868.\nAnswer: 2, 3, 120739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20211 (base 4) to base 13.\nAnswer: -333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -28*v + 5 - 19. Let l be 2*1\/2 + 4. Solve -l*r + 2*r = v for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 4*l**2 + 2*l + 2. Let u be p(-3). Suppose -u*z = -6*z + 375. Suppose 3*x + 2*x = 5*b - z, -5*b + 2*x = -381. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(77) - (sqrt(77) - sqrt(77)*-3 - sqrt(77))*5 - (sqrt(77) + sqrt(77)*-3*-5))\/((1*(sqrt(99) + (sqrt(99) - sqrt(99)*1)))\/(sqrt(324)\/sqrt(4))).\nAnswer: 90*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5021 + 8822. Is 24 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -10. Let h = -276562 + 276565.4. What is the closest to -0.1 in i, 5, -2, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 = -150*h - 41*h + 306. Which is greater: 3832 or h?\nAnswer: 3832","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*g - 4*q, 5*q = 4*g - 0*q - 1. Let p(s) = -5 - 4*s - s**2 + g + 0. Let v be (2 + 8)*(32\/(-20))\/4. Give p(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 610898653?\nAnswer: 23, 26560811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 117, -157, 13 in descending order.\nAnswer: 117, 13, -1, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31061480.\nAnswer: 2, 5, 43, 18059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 25276 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, y: 4, z: 1, e: 1, i: 4}. What is prob of sequence zye?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26425 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65678.\nAnswer: 2, 32839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 19*t**2 + 293*t + 4600. Give z(-23).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 150, 24, -238, -666, -1290, -2140, -3246, -4638?\nAnswer: -6346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.823*205.\nAnswer: -168.715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/68 and 3\/37112.\nAnswer: 630904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 130*l + 519. Let j be h(4). Solve -29*b - 15 + j = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m - 2*m - 7*m + 2*m.\nAnswer: -9*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4380 and 4273275?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5246 by -2.\nAnswer: -2623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of i**7\/420 - i**5\/20 + i**4\/6 - 83*i**3\/3 + 144*i**2. Let z(a) be the first derivative of v(a). Factor z(h).\nAnswer: 2*(h - 1)**2*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x + 385. Let q(m) = -2*m + 330. Let z(b) = 6*f(b) - 7*q(b). Let o(t) = -2*t**2 - 12. Give z(o(k)).\nAnswer: -16*k**2 - 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-1*sqrt(2) - ((1 + sqrt(2))*-3)**2.\nAnswer: -27 - 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-384 - 299 + 144)*(-12*d**3 + 363 - 363).\nAnswer: 6468*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i\/(i*i*i\/i**40)*i\/(i\/(((i\/i**4)\/i)\/i))*(i\/(i\/(i**(-8)*i))*i)**(-1\/27) assuming i is positive.\nAnswer: i**(308\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*w + 2*t - 22 = 0, -5*w - 3*t = 87. Let s(b) = -10*b + 35. Is s(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 961 and 963 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4305 divided by -1435\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 19 - 4 + (4 - 4 + 1)*(-4 - 3 + 6))*(-14*d**3 + 3*d - 3*d) + 4*d**3 + 0*d**3 + d**3.\nAnswer: 453*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 10016?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6650727 rounded to four decimal places?\nAnswer: 0.6651","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**2 + 2 - 2)*(0*d - d**3 + 0*d**3 - 3*d).\nAnswer: -3*d**5 - 9*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 3, -3*i = -2*o + i - 4. Factor -4 + o + 1 + 6*g - 9*g**2 + 2.\nAnswer: -3*(g - 1)*(3*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62199611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p + 13 + 2 - 4. Let f be x(-5). Let n be (31 + -1)\/((-12)\/(-32)). What is the greatest common factor of f and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -5, 19, -506, 5, 13 in descending order.\nAnswer: 19, 13, 5, -5, -6, -506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -276baa84?\nAnswer: 276baa82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 + 26. Let c = 4 + h. Put 6, 1, c in decreasing order.\nAnswer: 6, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {p: 5, y: 1, g: 1, o: 6, z: 1, k: 3}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of g**6\/660 - 7*g**5\/165 + 7*g**4\/132 + 26*g**3\/11 - 5*g**2 + 44*g. Let h(d) = 0. What is d?\nAnswer: -2, 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 4*k**2 - k. Suppose 0 = -4*m - 5*j + 161, 3*m = 6*m + 4*j - 120. What is the remainder when m is divided by w(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000367878 rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -110.5761 * 0.04.\nAnswer: -4.423044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 7 (b) -1.238 (c) 4 (d) 26 (e) 1 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3314243330 (base 5) in base 4?\nAnswer: -123121030202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7968, 15971, 23974, 31977, 39980, 47983?\nAnswer: 55986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8 - 7)\/(2\/16). Let s be n\/32 + (-7)\/(-4). Suppose -s*k + 15 + 1 = 4*f, -2*f - 8 = -3*k. Let u(t) = -5*t - 2. What is u(f)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226240155.\nAnswer: 3, 5, 61, 83, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/52)\/((-9)\/(-12)). Let v = -9 + 13. What is the smallest value in v, j, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, f: 1, u: 1, q: 3, s: 2}. What is prob of picking 3 p?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -801179*z - 430857 wrt z.\nAnswer: -801179","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*r - r + 7*r)*(1 - 3 + 5)*(1483 + 78*r - 1483) to u + t*r**2 + g*r and give t.\nAnswer: 702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 876*d**3 + 38*d - 37. What is the tens digit of b(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**24*d\/(d\/(d*d**(-12))))\/(d**8*d)**(1\/14) assuming d is positive.\nAnswer: d**(173\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -46 + 32020231?\nAnswer: 32020163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(78)*-3)\/(-4*3*sqrt(6)))**2.\nAnswer: 13\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -402 - 370 = -93*o - 98*o - 2*z, 24 = 3*o + 3*z for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 710.7735mg to tonnes.\nAnswer: 0.0000007107735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7732437?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 607907 - -34617189.\nAnswer: 35225096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -5*z - 6. What is the tens digit of q(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/1)\/((-6)\/40). Suppose -3*h - 11 = -2*w - 1, 0 = -4*w - 5*h + b. Solve -2*g + 10 = a + a, -w = -a for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20 - 0) + (-12 - (-33 - -11))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*y**3 - 24*y**3 - 2*y**3 - 4*y**3.\nAnswer: -40*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -221? (a) -0.02 (b) 54 (c) -2 (d) 1\/9 (e) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.32465 and 29?\nAnswer: -9.41485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3667*u**3 - 531*u**3 - 1514*u**2 - 8292*u**3 + 1513*u**2.\nAnswer: -12490*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((9 + -28)\/19)\/(6 + -2 + -3). Which is the second biggest value? (a) -20 (b) 5 (c) 3\/5 (d) 2 (e) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 2*s - 3. Suppose a - 22 = 4*j, -6*j = -5*a - j + 50. Suppose -4 + 16 = a*k. Calculate g(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -5, -4 in ascending order.\nAnswer: -19, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -724 - -1198. Let o(n) = 4*n**3 - n**2 + n - 1. Let f be o(1). Suppose f*t = 9*t - x. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of m**6\/3 + 41*m**5\/5 - m**3\/3 + 189*m - 186. Find the third derivative of v(x) wrt x.\nAnswer: 120*x**2 + 984*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 6) to base 16.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 8 = -2*d. Let t(m) = m**2 - 4*m - 7. Let u be t(5). Let p = u + d. Solve p = -2*o + o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/45 (b) 0 (c) -2\/5 (d) -5 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -1, -498, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - -1)*-12*(-12)\/1296?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1116 + -467. Let r = y + -585. Calculate the remainder when r is divided by 19.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48484 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 412300100.\nAnswer: 2, 5, 41, 227, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 11:47 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 638747*d**2. Let m(u) = 63*u**2. Give r(m(n)).\nAnswer: 2535186843*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 376\/72 + (-2)\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/210 and 109\/1422.\nAnswer: 49770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 32.536901 to 0 dps.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(1\/4))\/k)\/(k\/((k\/(k**(-4\/7)*k))\/k)*k*k*k)*(k**(-2\/21)*k)\/(k\/(k**(4\/9)\/k)))**(-1\/33) assuming k is positive.\nAnswer: k**(1217\/8316)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -904 + 916. What is the least common multiple of ((-60)\/(-1))\/(12\/12) and l?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75176 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 20 = 28. Suppose -8*t + 376 = -4*t + v*b, 5*b = 3*t - 250. Does 10 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 3*l + 4. Let y be j(3). What is the greatest common divisor of y and 80?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-152)\/38 + (-1 - -19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 4*c**3 + 5*c**2 - 9*c + 1. Let v(n) = 2*n - 1603 + 1603 - n**2 - n**3. Determine -2*t(j) - 9*v(j).\nAnswer: j**3 - j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -5 - (3 + -20 - -5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45 - 41. Let x = 0.73 + -0.03. Sort v, -2, x in descending order.\nAnswer: v, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 40 = -2*c. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + m)*(-52*m - 19 + 4 + 16).\nAnswer: -52*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(704) + 0 + sqrt(11) + -3.\nAnswer: -3 + 17*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*(-1)\/((-15)\/65). Put -11, 1, d in descending order.\nAnswer: d, 1, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8)*-1*3 + sqrt(8))\/sqrt(4))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(7 + -4) - -3. Let x be 123\/l*100\/5. Suppose 0 = -4*o + 5*s + 824, -5*o + s + x = -599. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/23, 0.971, 2\/3 in decreasing order.\nAnswer: 0.971, 2\/3, 2\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbk when three letters picked without replacement from {b: 6, s: 3, v: 2, k: 2}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - u + 21, 0 = -4*b - 77*u + 80*u + 32. Sort 4, 80, b in decreasing order.\nAnswer: 80, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75 + 42)\/((-7)\/(14\/6)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-4)*108\/(-486))\/((-25)\/(-30))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/5 (b) -0.2 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/(2\/(-2)))\/(4\/17348) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -156287, -312629, -468971, -625313?\n\"Answer: -156342*r + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -5*r**4\/12 - 35*r**3\/3 - 100*r**2 - 500*r\/3 + 161. Let j(s) = 0. Calculate s.\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 5*i + 8*i**2 + 4*i - 5 + 10. Suppose 3*u + 4*w - w - 21 = 0, 0 = 3*u + 2*w - 22. Let x be o(u). Sort x, -5, 3 in ascending order.\nAnswer: -5, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z + 13. Give m(-21).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 1. Let x(q) = q - 4. Let s be x(f). Let j be 7584\/2592 - 2\/(-27). What is the second biggest value in 0.5, s, j?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -503604 + -67?\nAnswer: -503671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6a - -6562b1?\nAnswer: 656244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88009 = 264*q + 91441 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1452.7 - -577108311?\nAnswer: 577109763.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39 + 58. Solve -4*t + f = 7 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*1\/1*(-2)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1164738642 to the power of 1\/3, to the nearest integer?\nAnswer: 1052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -79, -258, -737, -1666, -3195, -5474, -8653?\n\"Answer: -25*i**3 - 4*i - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - 19*y**2 - 65*y - 611. Determine t(23).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -595, 0.4, -1\/3, 286 in increasing order.\nAnswer: -595, -1\/3, 0.4, 286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -20430960 divided by -6540?\nAnswer: 3124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u - 3. Let d(h) = 2. Let k(o) = 3*d(o) + 2*j(o). Suppose 3*n - 5*n + 13 = c, 0 = -3*n - c + 17. Let q(a) = -n*a + 2*a + 4*a. Determine k(q(z)).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 3:42 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1612965 is divided by 2631.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*i + 5*i + 1073 - 19994 + 9459 + 9462.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14341\/71 + -202. Is m bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 12, 4\/33, -0.13?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2025 and 1579425?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(1\/5))**27\/(i\/((i*i\/(i*i**6))\/i)*i**(-9)))**(1\/10))**(-26) assuming i is positive.\nAnswer: i**(-2236\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*4\/(-18)*3. Let i be ((-4)\/6)\/((-2)\/9). Sort i, -12, a in increasing order.\nAnswer: -12, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 17*l**2 + 15*l + 24. What is the remainder when 557 is divided by b(16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 10 = 3*p + 6*i, 3*p - 9 = -3*i. Suppose -8 + 38 = 3*m + 3*s, 0 = -3*m + p*s + 15. Suppose -m*a + a = -264. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -19\/3*v**3 + 0*v**2 + 0*v + 37. Let l(a) = -2*a. Calculate l(z(p)).\nAnswer: 38*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 10*s + 9*s)*(-4*s + 2 + 3 + 0).\nAnswer: -76*s**2 + 95*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20 + 31 + 14)*(1 + 2 + 0)*(-2*t + t + 3*t) to the form y*t + c and give y.\nAnswer: 390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 + 2*o**2 + 19*o**2)*(-3*o**3 + 3*o**3 - o**3) + 0 + o**5 + 0 - 6*o**5 - 15*o**5 + 12*o**5.\nAnswer: -28*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26627.3 - 29037. What is s rounded to the nearest ten?\nAnswer: -2410","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 895 - 493 = 201*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a**3 - 338*a**2 - 134*a + 2379. Calculate l(113).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -8b7d0d (base 14) to base 11\nAnswer: -2752498","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 4 = -4*z - 2, -2*z = 3*j + 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*h**2*j*o - 270*h**2*j + 8*h*j**2 - 92*j**2*o - 2*j**2 - 26*j + 6*o wrt h.\nAnswer: -30*h*j*o - 540*h*j + 8*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 128855 - -32952. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5334665830 divided by -5\nAnswer: -1066933166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 152\/44 + ((-84)\/(-22))\/7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-30)\/25)\/(4\/(-90))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzhzhzzzzzfzfzff. Give prob of sequence zfhz.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -f + 2192 - 366, -3*g = 9. Let k be f\/90 - 2\/9. Calculate the highest common divisor of 180 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a kilometer in meters?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 44326049?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -1\/18558?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(1\/(-1)*2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 8:37 AM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is d37 (base 16) in base 9?\nAnswer: 4568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -11 + -2 - -12 - -7?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2332\/(-20670)*-65)\/(10\/12)\nAnswer: 44\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -o**3\/6 - 3*o. Let v(w) be the third derivative of -3*w**4\/8 + 160*w**2 + 2. Let r = 14 + -13. Calculate r*v(c) - 12*m(c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19423212 by 2.\nAnswer: -9711606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.466696 years to months.\nAnswer: 29.600352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4000)*-2 - sqrt(240)\/sqrt(24))\/(sqrt(512)*1*6).\nAnswer: -41*sqrt(5)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -3*c - 10. Let j be 12\/c - 358\/(-4). Suppose 0 = -7*o + 84 + j. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of q**5\/20 - q**4\/12 + q**3\/6 + 5*q**2\/2 - 16*q. Let n be y(0). What is the nearest to -0.3 in 4\/3, n, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sosooososssossowoss. Give prob of picking 2 s.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*v**2 - 5*v**2 - 137*v - 6*v**2 + 2*v**2 - 17*v**2.\nAnswer: 2*v**2 - 137*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55052 divided by 4.\nAnswer: 13763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 6*d + 11*d + 186 = 0, 0 = -3*u - 3*d + 321. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssgs when four letters picked without replacement from ggssgsgsssgssgsggggg?\nAnswer: 77\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -17*h + 2. Let a(d) = d + 1. Determine -2*a(t) + i(t).\nAnswer: -19*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (30\/(-175))\/((-111)\/259). Which is the closest to -1\/5? (a) 5\/4 (b) -0.54 (c) 1 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -37, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/374075 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189 is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 9*g**3)*(-2*g + 6*g - 3*g) + g - g + g**4 + (2*g - g**4 - 2*g)*(-48 - 104 + 103).\nAnswer: 59*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*a - 12*a - 10 = 0. Suppose 0 = -s - a*s. Suppose 2*m + 3*m - 5 = s. Solve 3*o = 2*v - v - 8, v - m = -4*o for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-35)\/(-20))\/(-28*2\/(-16)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 8103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1.62 - -0.2\nAnswer: 1.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of -1\/4*x**4 + 5*x - x**2 + 10 - 5\/3*x**3. Let b be -2 - (-8 + 11) - -1. What is o(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeiiiiiiessi. What is prob of sequence esse?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 - 9 = -5*x. What is the common denominator of -115\/6 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23214778 - 0.2?\nAnswer: -23214778.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -37671 or -37672?\nAnswer: -37671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -74156 + 109927. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1302*a**2 + 2311*a**2 - a + 5170*a**2 + 3673*a**2.\nAnswer: 12456*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1216242 and 141084072?\nAnswer: 141084072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 b when four letters picked without replacement from bhhbbhh?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -102, -196, -280, -354, -418, -472, -516?\nAnswer: -550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 10) to base 7\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/613924 and 16\/153481.\nAnswer: 613924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqqq. What is prob of picking 3 q?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of 0 + r - 1\/6*r**3 + 0*r**2 + 1\/40*r**5 - 1\/24*r**4. Let f(h) be the second derivative of m(h). What is f(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**2 - 47736*l - 284840712 = 0. What is l?\nAnswer: -11934","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/5))**(-6) assuming g is positive.\nAnswer: g**(12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + 2. Let r(m) = -2*m**2 + 28*m + 19. Let a be r(14). Let g = a + 3. What is the lowest common multiple of y(-4) and g?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 1)*4\/104.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 - 0. Let q = 2.23 + -2.33. Sort q, n, 1 in increasing order.\nAnswer: q, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 4*v + d = 37, 2*d = 2*v - 16. Sort v, 4, 1 in ascending order.\nAnswer: 1, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/404 and 79\/808.\nAnswer: 808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 12 - 2 - -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 236858?\nAnswer: 2, 118429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 29*m**2 + 4*m + 4. Let p(t) = 260*t**2 + 35*t + 35. Give -35*h(s) + 4*p(s).\nAnswer: 25*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/8*48\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-9 + 1)) + (-120 - -65 - -64)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**5\/3 - 159*s**4 - 5148*s**3 - 74719*s**2\/3 - 36914*s - 12864 = 0. Calculate s.\nAnswer: -201, -32, -3, -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -201007 and 0.05197525445.\nAnswer: -201006.94802474555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 1 = 2*r. Let f(t) = 9*t**2 + 2*t - 1. What is the lowest common multiple of f(r) and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4 + (-6*(-4 + 5 + (sqrt(891) + sqrt(891)*2 - sqrt(891)) + -1 + (1 + sqrt(891) + -4 - sqrt(891))))**2).\nAnswer: -514528 + 15552*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*f - 111 = -85*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d - 4*n + 30, 0 = -4380*d + 4376*d + 3*n - 25 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 404 equal to 500?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7\/5 + -1. Which is the closest to 1\/10? (a) z (b) -4 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 12*c**2 - 4*c - 1. Calculate the least common multiple of y(11) and 20.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -5*t**8\/56 - t**4\/6 - t**3\/3 + 18*t - 4. Find the third derivative of g(q) wrt q.\nAnswer: -600*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3381?\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 37550249.\nAnswer: 11265074.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -56.29 + -0.71. Let y = s - -59. Let v be 4\/2 + 2\/1. Sort 0.4, y, v in ascending order.\nAnswer: 0.4, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12448, 24883, 37318, 49753?\nAnswer: 62188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3772494 and -56969.\nAnswer: -56969.3772494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/3582 and 91\/3582?\nAnswer: 3582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 3*u - 2*u - 18, 24 = 4*b - 4*u. Calculate the least common multiple of b and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 15 = -8*o. Let a be (4 + -4)\/(-8) - -4. Suppose -o*f + 39 = -a*f. Calculate the highest common factor of 26 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(66)*2 - sqrt(66)) - sqrt(66))\/(sqrt(66)\/sqrt(44)).\nAnswer: -12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0133572 rounded to 3 dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, u: 8, h: 9}. What is prob of sequence hr?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/9 in -0.17, 0, 0.4, -699, 0.2, -3?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 9 + 14)*(4 + 2 - 5)*(0*o - 3*o + o).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 - 3*h + 7. Let w be q(-6). Let d = w - -20. Solve -4*k + 11 = -d for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 7*j - 18. Let w = 0 - j. Differentiate -3 - 4*a + w*a - 5*a + 2*a**3 with respect to a.\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3824033490?\nAnswer: 2, 3, 5, 2143, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3625 - -54404\/15. Let d = j + -3\/5. Let -14\/3*p + 4\/3 + d*p**4 - 14\/3*p**5 - 8\/3*p**2 + 28\/3*p**3 = 0. Calculate p.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -18*(-23)\/(1863\/36)*60\/16\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 6:45 AM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3247826, -3247735, -3247644, -3247553, -3247462?\nAnswer: -3247371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 910 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -43531.\nAnswer: -1\/43531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of 53*z**8\/168 + z**6\/120 + 57*z**5\/10 - 691*z**2. Find the third derivative of p(a) wrt a.\nAnswer: 6360*a**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -423520, -423425, -423328, -423229, -423128, -423025?\nAnswer: -422920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -62628 (base 11) to base 7\nAnswer: -530035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1675250, 1675248, 1675246?\nAnswer: 1675244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/30469600 and -97\/2800.\nAnswer: 30469600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 5*l = 23, 3*l + 5 = -4*r - 12. Which is the nearest to 0? (a) r (b) 4 (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 - 8 - -2 - (-3 + 2). Put g, -4, -3, 6 in descending order.\nAnswer: 6, g, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 3006520?\nAnswer: -901956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 19*l**2 + 39*l + 68. Let o be f(21). Suppose -4750 = -2*g - o*w - 1312, -5*g + 2*w + 8566 = 0. List the prime factors of g.\nAnswer: 2, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.314*2.\nAnswer: -0.628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 67 - 66.25. Let z = q - 2.75. Which is the second smallest value? (a) z (b) 5 (c) -0.3 (d) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*h - 18*h - 1836 = -3*g, 0 = 2*h + g - 3672. Suppose 2*y + h = 14*y. Calculate the remainder when y is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/736 and 79\/4?\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -107 + 65 + -72 - -74?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 5*j**2 - 14388780*j + 10351849494420 = 0.\nAnswer: 1438878","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w**2 - 4 + 2*w - 4*w**2 - w**3 + 5*w**2. Let a be k(3). What is the remainder when a\/((-24)\/9 - -3) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 40 = s, 4*k + 4*s = 3*k + 10. What is the greatest common factor of k and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/1378 and -95\/7102.\nAnswer: 92326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1367, -5340, -11961, -21230, -33147, -47712?\nAnswer: -64925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11\/28 + -3\/28. Let p = 664 + -663. What is the closest to p in u, -36, 0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/3 + (-11)\/12. Let q(r) = -953*r - 208712. Let g be q(-219). What is the closest to -1 in -2\/5, c, -4, g?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y - 3*y + 209713*y**3 - 209715*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b + 62. Let i(u) = -50*u + 745. Let r(j) = 3*i(j) - 35*n(j). What is the tens digit of r(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14326.28186 rounded to 0 decimal places?\nAnswer: 14326","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8421 + -8453.392. Let b = -0.092 - v. Let d = 6 - b. Round d to 0 dps.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 42\/5 of a week?\nAnswer: 84672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10 - 803?\nAnswer: -813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 i when three letters picked without replacement from iioiii.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Convert 7381.69 years to centuries.\nAnswer: 73.8169","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o**2 - o - 1. Let c be k(-1). What is the second derivative of -c*i + 0*i - 7*i**5 + 6*i + 2*i**5 wrt i?\nAnswer: -100*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 476, 0, -1 in ascending order.\nAnswer: -1, 0, 3, 476","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -4*n + 111 - 125, 0 = 4*s + 3*n + 23 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5278703 is divided by 92.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyy. What is prob of picking 4 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 25 = 1. Let m = 5 - w. Let r be -2 - (m + (2 - 2)). What is the highest common factor of 55 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 5*p**2 - 9*p + 4. What is f(4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 54\/7 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = m - 1. Suppose m*c = -c. Suppose c*z = -z. Solve z = -2*j - 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -4*o**2\/3 + 4*o + 16\/3 = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133*q**2 - 3*q + 168*q**2 - 66*q**3 + 33*q**2 + q.\nAnswer: -66*q**3 + 334*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 108041?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 0 = 3*y. Let s(a) = 0*a**2 + 1 - 4*a - 2*a**y + 6*a**3 - 5*a**3. Give s(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34 - (-8 - (-8 - 17)) - -10\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/54 and 3 - (-14)\/(-5) - (-190)\/(-540).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2057.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/13)*s)\/((s**(-2\/27)\/s)\/s)*s\/(s*s**(-15))*s**(-9)*s)**(2\/9) assuming s is positive.\nAnswer: s**(6964\/3159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 35609046 to the power of 1\/3, to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5780 minus 1?\nAnswer: -5781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5028636318?\nAnswer: 2, 3, 811, 1033423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19)*2 + -4)**2 + -4*sqrt(38)\/sqrt(2).\nAnswer: -20*sqrt(19) + 92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*q + 911 + 1043 - 645 = 0 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*d - 67 = 0, 3*u - d + 50 = 109. Let k(x) = 7*x + 1. What is the remainder when u is divided by k(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 179\/3645978 and 51\/187160204.\nAnswer: 561480612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 12:59 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 0.2 (b) -3 (c) -0.04 (d) 2\/15 (e) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 738799811\/589222300 - -110\/310117. Let h = u - 2\/475. Put h, -2, -1 in increasing order.\nAnswer: -2, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uddu when four letters picked without replacement from dudududdddduu?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 908*y. Let d(h) = 39*h. Calculate z(d(q)).\nAnswer: 35412*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of q**6\/15 + 2*q**2 - 6*q. Differentiate j(d) with respect to d.\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of g**4\/12 + g**3\/6 - g**2\/2 - 61*g. Let p(v) = -14*v**2 - 6*v + 6. Give p(j) + 6*t(j).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 42*p**2. Let l(n) = 22*n + 25*n + 18*n - 52*n. Give f(l(j)).\nAnswer: 7098*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29727 + 42833. What are the prime factors of b?\nAnswer: 2, 6553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3844054*c**2*s + 7617005*c**2 with respect to s.\nAnswer: -3844054*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + 8*v**2 + 43*v + 362. Determine x(-8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 46\/5 of a meter?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000615078 to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127020*j - 797*j**3 - 127020*j - 1428*j**3.\nAnswer: -2225*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 317.15 rounded to the nearest ten?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 111 - 110. Let m = -0.5 + 1. What is the nearest to n in 2, -1\/9, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2116654 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7610 or -7702?\nAnswer: -7610","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -196*r**2 - 456*r wrt r.\nAnswer: -392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -135*u**6 + 191*u**2 - 75903*u**4 + 75903*u**4 wrt u.\nAnswer: -16200*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -97 (b) 0.5 (c) -4\/7 (d) 1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -6*r. Let f(s) be the first derivative of s**3 + 59*s**2 - 3975. Give f(j(y)).\nAnswer: 108*y**2 - 708*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 21 - 11. What is the derivative of 2 + 3 + 1 - g*s - 5 wrt s?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 37003 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-21)\/k*((k*k*k**4*k)\/k)\/k assuming k is positive.\nAnswer: k**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s + 1. Let k(p) = 3*p + 6*p + 2 - 2*p + 3. Let r(m) = m + 1. Let f(o) = k(o) - 6*r(o). Calculate -3*f(z) - 2*j(z).\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 6*b**2 + 6*b - 1. Let n be m(-5). Let t = -4 - n. Suppose -5*v + 8 = -t. Is v <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 284497.866 to the nearest one hundred.\nAnswer: 284500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -725.5918*-0.2\nAnswer: 145.11836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 8*p**3 - 7*p**2 + 3. Let h be z(7). Let k be h\/20 + (-1)\/5. What is k rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*x + x. Let c be ((-6)\/2 - -6) + x. Let g(h) = -h**3 - 12*h**2 + 22*h - 81. Let s be g(-14). Solve c*d = s*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.3775762 rounded to 1 dp?\nAnswer: 19.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/1 - -2) + 5. Suppose -2*k - s*h + 10399980 = 0, k = -h + 5*h + 5200016. Round k to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + 2\/(-1 + 2). Let z be (s + 3)\/(0 + 8). Let w = 0.7 - 0.2. What is the third biggest value in -1\/8, z, w?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.28 + 5. Let i = 0.12 - l. Let x = 525\/4 + -131. Which is the third biggest value? (a) x (b) i (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 270631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -3*d - 1825. Suppose 2*q - 1802 = 2*p, -3614 = -5*q + q + 2*p. Let h = q + d. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 150 = q, -q + b = 6*b - 143. Let c = q + -143. What is the second derivative of -61*g**5 - 14*g + 109*g**c - 10*g wrt g?\nAnswer: 960*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -4*b + 8. Calculate the remainder when 29 is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 6 = -3*y + 2*g, -3*g + 12 = 0. Let 6 + 40*q - 32*q + 9*q**y - 23*q = 0. Calculate q.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12094*r = 8639*r - 58735 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15682339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15)\/6*4\/(-10). Suppose u + q - 17 = 0. What is the remainder when 79 is divided by u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(450))\/(sqrt(6) + (sqrt(12)\/(sqrt(2) + sqrt(128)) - sqrt(6))).\nAnswer: -180*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1722 - -0.08\nAnswer: -1721.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*0.2.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 7*t**2 + 6*t + 9. Let i be m(-7). Calculate the common denominator of i\/(-54) - 12\/(-18) and 1\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8720074?\nAnswer: 2, 11, 127, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 211 + -203. Suppose -5*d = -2*z - 114, -2*d + 34 = -2*z - o. Calculate the remainder when 89 is divided by d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3865273946?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15 - 29 - 17 - 2*h)*(-5*h + 0*h + 3*h) to x*h**2 + b*h + c and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -405 or -535?\nAnswer: -535","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/5 (b) -1\/9161 (c) -4 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -227 - -250. Is t a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5861366 and 1169?\nAnswer: 1169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.668 and 0.4.\nAnswer: 0.2672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70\/(1540\/(-66))*(-14)\/(-2)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 15*y**2 + y + 18. Let x be l(-15). Solve 0 = 3*b - x*i, -b = -0*b + 3*i for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 8*c - 11. Suppose -3 = 3*o - c*o, 4*o = 5*l - 862. Suppose 2*x - 140 = -2*v - 0*v, 0 = 2*x - 4*v - l. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -440*v**3 - 29257*v**2 + 29257*v**2 + 655*v**3.\nAnswer: 215*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1665576606.\nAnswer: 2, 3, 277596101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - u + 10. Let c = 5 + -5. Calculate the smallest common multiple of 24\/10*30\/4 and g(c).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*f - 10 = 0, 3*c = 4*f - 7*f + 15. Let k = -11 - 25. Let d be 10\/45 - (-26)\/k. Put c, d, -1\/10 in increasing order.\nAnswer: d, -1\/10, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 6\/205, 3, -0.027, 2\/19, -5?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -68\/28091963?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*6\/(-60) - 62\/(-10). Let v be (17908\/222)\/((-2)\/r*-2). Let u = -91 + v. Calculate the smallest common multiple of 30 and u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -619 - -619.465. Let g = 0.365 - c. Let y = 2.98 + 0.02. What is the biggest value in -1, -2, g, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 341\/2 + -164. Let b = 5 - n. Which is greater: b or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 1. Let u be 2 - 1 - (-6)\/m. List the prime factors of (48\/(-20))\/(u\/(-10)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 132, 402, 914, 1746?\nAnswer: 2976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -10, -175, -618, -1477, -2890, -4995, -7930, -11833?\n\"Answer: -23*w**3 - w**2 - w + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hzeh when four letters picked without replacement from ezqzqhhw?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -232, -1\/7, -0.4 in descending order.\nAnswer: -1\/7, -0.4, -232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 73 - 45 + (3 + 0 - 1)*(-1 - 4 + 3))*(-5*d + 3*d - 3*d) in the form x*d + y and give x.\nAnswer: 610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, a: 12}. Give prob of sequence eeae.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - 3*m + 6. Let i be y(-4). Suppose -381 = -5*l + 2*c, -i*l + 3*c + 142 = -6. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 407226614 to the power of 1\/2, to the nearest integer?\nAnswer: 20180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (62\/(-4) + 2)*76\/(-342). Solve 44*o - 41*o - 3*a = -15, -v*o + 5*a - 21 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3700 divided by 5\nAnswer: -740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-1 - -9) - (2 - -5)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252*b + 8 + 24 = 2*a - 251*b, a - 16 = 6*b for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of -7*q**5\/30 + q**4\/24 - q**3\/6 - 2*q**2. Let h be x(1). Let j be (-1)\/h*(-8 + 4). Which is smaller: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/8 and 8\/(-14)*(-470)\/40?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**3\/5 + 13*z**2\/5 - 26*z\/5 - 528\/5 = 0.\nAnswer: -11, -8, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, 73, 101, 129, 157?\nAnswer: 185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**2 - 5*l**2 + 2*l**2.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of l**4\/12 - l**3\/6 - 11*l**2 + 3*l + 60. Let v be m(0). Put -1, -3, v, -5 in descending order.\nAnswer: -1, -3, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -549, -550, -551, -552?\nAnswer: -553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 10. Suppose v = 5*d - 5 + 10, -5*a = -3*d - 153. What is the remainder when 117 is divided by a?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + 10*s - 396. Let t(v) = v**2 + 11*v - 403. Give 5*t(m) - 6*u(m).\nAnswer: -m**2 - 5*m + 361","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6c7fd (base 16) in base 4?\nAnswer: -1230133331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -4*m - 37, -5*m - 3*b + 4*b - 20 = 0. Put m, 8, -5 in decreasing order.\nAnswer: 8, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d + 6. Let g(a) = -89*a**2 + 1. What is g(s(b))?\nAnswer: -801*b**2 + 3204*b - 3203","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y - 2*y + y**3 + (4*y**3 - y**3 - y**3)*(1 + 1 + 2) + y**3 - y + y.\nAnswer: 10*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10892.89 rounded to the nearest 10?\nAnswer: -10890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fvf when three letters picked without replacement from vff?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60422441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -5.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -3 - 2. Let x(o) = 2*o**5 + 4*o**4 + o**3 - 4*o**2 - 3*o - 3. Let f(p) = -p**3 + p + 1. Let t(q) = i*x(q) + 3*f(q). Suppose t(c) = 0. What is c?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y - 9. Let m be -1*57*32\/12. Let p be 2\/3 + m\/(-24). Let n be t(p). Put n, -3, -5 in descending order.\nAnswer: n, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xp when two letters picked without replacement from {t: 2, x: 1, p: 1, o: 2, r: 3, j: 3}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of 1\/120*u**6 - u**3 + 0*u + 0 + 1\/15*u**5 + 39*u**2 + 1\/24*u**4. Solve q(t) = 0 for t.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**3 + 3*n**2 - n + 10. Calculate k(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 105, 351, 761, 1335?\nAnswer: 2073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37\/2 - -257\/14. Which is the closest to 0.05? (a) k (b) 7 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-1))**(-43))**(3\/19)*m\/(m**0\/m)*m**(4\/7)*m*(m*m**(2\/3))**(-11\/3) assuming m is positive.\nAnswer: m**(-160\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1087, 1081, 1075?\n\"Answer: -6*u + 1093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -309 and -30626\/99 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -311 - -136?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 + 27. Let j(p) = 3*p + 0 - 5*p**2 - 17 + 6*p**2. Calculate the smallest common multiple of z and j(-7).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-5 + 4)*-6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -1566077 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 243533 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5315 + -5314. Let d be 8\/2*1 + 0. Solve d = -b + 4*q + u, -15 = 5*b + q for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 8:37 PM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**2 - m + 27. Let n be x(-5). Suppose 0 = -h + 4*c + 34, h + 2*c - 16 = -6. What is the remainder when 435\/9 + (-12)\/n is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8040 divided by 438.\nAnswer: 1340\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*s - 9*s - 2. Let v be (-2 - 5\/s - 7) + 1. Let j be 1 + (2\/29)\/(v\/43). Do j and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-6)*(-30)\/(-4). Suppose -4*f + c*l = 47, -l = -2*l + 3. Is ((-161)\/(-28))\/((-2)\/f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 121.97292263 - -0.02693737. Let g = d - 122. What is g rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (132\/10)\/((-11)\/(557920\/(-24)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*c + 23*c + 108 = -11*c + 387 for c.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6639 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -22*s. Let u(j) = -151*j**2 - 6*j - 14. Let o(g) = -111*g**2 - 4*g - 10. Let m(h) = -7*o(h) + 5*u(h). Give y(m(x)).\nAnswer: -484*x**2 + 44*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10742*-19256.\nAnswer: 206847952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 5*y + 35 = 0, -w = -2*w - 3*y - 13. Suppose w*i + 72 = 8*i. Calculate the least common multiple of i and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {a: 9, w: 1, g: 5, z: 5}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -242180, -242180, -242188, -242210, -242252, -242320?\n\"Answer: -y**3 + 2*y**2 + y - 242182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 - -25. Let j be l - (4 - (1 - -12)). Does 12 divide (-6 - 138)*(-4)\/j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17172842431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46662 divided by 1511.\nAnswer: -46662\/1511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**2 + 2*c + 3. Let k be w(-3). What are the prime factors of 1225\/k - 1 - (-1)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11.4 times 2\nAnswer: -22.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 3*a + 2*g + 6, -5*g - 37 = -4*a. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vrqbrrvvzrvzobzzvzrz. Give prob of picking 1 q and 1 v.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 + -4. Let s(d) = z*d - d - 8*d - 6*d. Let u(v) be the third derivative of -v**5\/20 - 4*v**2. Determine u(s(n)).\nAnswer: -48*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**2 - 2*y - 26. Let z be w(-4). Let u be 28\/(-3)*18\/(-4). Calculate the greatest common factor of u and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8303.2308 milliseconds?\nAnswer: 0.002306453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -6*t**3 - 26*t**2 - 5*t - 36. Give a(-6).\nAnswer: 354","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + i + i)*(6*i + 17*i - 9*i).\nAnswer: -14*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4\/6 - 8133*z**3\/2 - 10099089*z**2\/2 - 4279873455*z\/2 - 304129224828.\nAnswer: -(z + 429)**3*(z + 23112)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 431 + -466. Which is greater: -34 or d?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59591 = 4*t + b + 70818, 5*t + 4*b = -163014. Round t to the nearest one thousand.\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-10)*-6)\/(2\/(-10)). Let i be 0\/(-6 + (-5 - f)). Solve k - 2*w = -k, 5*k - 3*w = i for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**6*u**(-3)*u*u)\/(u**(-3\/4)\/u**1) assuming u is positive.\nAnswer: u**(27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225*w + 102*w = -112*w - 220 for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 10200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 10101?\nAnswer: 10020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/12 or -2\/115?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 6*b + 121*b**2 + 5 - 5 + 1.\nAnswer: 121*b**2 + 6*b - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**2 - 3*b + 4. Suppose 2*k = -2 - 4. Let i be v(k). Calculate the smallest common multiple of 3 and (-15)\/(-25) + (-17)\/i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1935064, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -145*k**6 + 2*k**5*w**2 - 2*k**2*w**2 - 10*k**2 wrt k.\nAnswer: -17400*k**3 + 120*k**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -z, f = 2*z + 1 - 4. Solve -f - 14 = 3*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -z. Let r = -264 + 268. Let q be 2\/7 + 5\/(-7). Put r, q, z in decreasing order.\nAnswer: r, z, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 254*r - 34 = -37 - 1013. Let z be -2 - (-2 - 6\/10). What is the third smallest value in r, -1\/10, 3\/2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 30120 + -42?\nAnswer: 30034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + -11. Suppose -3*w - 2*w = w. Solve 3*x + 3*o - 6 = w, y*o - 39 = 5*x - 4 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -1357*u + 7. Let d(y) = 1290*y - 5. Give -5*d(k) - 4*n(k).\nAnswer: -1022*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of j**3\/6 + 6*j. Let m = -4 + 18. Calculate the least common multiple of m and d(4).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/5, -347, -1.2, -4?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 - 23 - (30 - -7) - (-8 + 0)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14095002091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/8 of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 5*h - 2*t, -5*h + 3*t - 179 = -356 + 176 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -7*s - 1. Let k be y(-3). Let u = 12 - 1. Let b = k - u. What is the greatest common factor of 72 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 15 (b) 2\/3 (c) -3 (d) 3 (e) -4\/3 (f) 3\/46\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -16*p**2 - 2*p - 1. Let o(g) = -g**2 + 1. Determine 3*o(j) + t(j).\nAnswer: -19*j**2 - 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 145786482 to the power of 1\/2, to the nearest integer?\nAnswer: 12074","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 20 = 26*g. Which is the nearest to g? (a) -0.4 (b) 0.08 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25828.13 centuries in decades?\nAnswer: 258281.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -74 - -216. Calculate the remainder when w is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -1211210?\nAnswer: -1211213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (38\/4 - (-15 - -22))*12\/30. Sort -5, 5, c, -19, 2 in decreasing order.\nAnswer: 5, 2, c, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32141311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 11, c: 2}. Give prob of picking 1 c and 3 j.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.098, 1\/7, 0, 36?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqjj. What is prob of sequence qqqq?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1 (b) -0.5 (c) 0.5 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*x + 93*x - 32 + 14*x**3 + 7*x**3 - 27*x - 22*x - 24*x.\nAnswer: 21*x**3 + x - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 53*l + 792. Give g(-15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -m - 52. What is the remainder when 51 is divided by m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -9*m. Let z be g(2). Let d(j) = 6*j - 15. Let k be d(3). Which is the smallest value? (a) k (b) 0.4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-99)\/44 - (-1)\/4. Let f be 2*y*4\/(-8). Solve -2*r + f = d, 2*d - 3*r = -2*d - 14 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12810367*w**2 + 2204105*w + 4 wrt w.\nAnswer: -25620734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21775 is divided by 345?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 1821*s + 9249. Let f be g(-5). Solve 6 = 69*w + f for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.8 - 3. Let o be 2\/(-6) + 2\/(-6). Let g = 4.1 + -4.5. What is the closest to 1 in d, o, g?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 9, -8, 11, 4, -140 in descending order.\nAnswer: 11, 9, 4, -1, -4, -8, -140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(1377) + -1))**2 + (-5 + sqrt(1377) + -1 + sqrt(1377))**2.\nAnswer: -666*sqrt(17) + 39994","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1db - -6d4?\nAnswer: 4e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**3 + 13*a**2 - 8*a - 7. Let i(y) = y + 17. Let v be i(-24). Let d be l(v). Solve -2*g + 1 + 5 = d for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 496048 is divided by 75.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -17 in decreasing order.\nAnswer: 1, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 7*w + 17, 4*s + 0 = 8*w + 16 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26492 + 953809\/36. Find the common denominator of -81\/20 and m.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 d when four letters picked without replacement from zdzzdmddm?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21604466399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4144 + -4148. Let l be (-4)\/(-110)*-5*1. Which is the closest to 2\/5? (a) 8\/3 (b) l (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 8:39 AM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1781, 3583, 5403, 7235, 9073, 10911, 12743?\n\"Answer: -f**3 + 15*f**2 + 1764*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 454791 (base 12) in base 14?\nAnswer: 20b621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 0*u**2 - 61 + 61 + u**2. Let d(p) = -8*p**2 + 17 - 17. Give d(m(w)).\nAnswer: -8*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-1\/2))**(1\/4)*(u\/(u*u**(1\/10)))\/u*u*(u*(u**(2\/9)\/u*u)\/u)\/u*u*u)**(-10))**(5\/18) assuming u is positive.\nAnswer: u**(-1795\/648)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -12118000 rounded to the nearest 100000?\nAnswer: -12100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w + 32*w = 69 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 518 divide 34131765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -12413*l - 197925. Calculate x(-16).\nAnswer: 683","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.9 - -9.6. Let o = v - 13. Let c = o - 2.513. Round c to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -4.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hjjjjccchjhjchhj. Give prob of sequence cj.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1661087 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 3169 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -637418 divided by -2\nAnswer: 318709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.444170155 - 0.44405. What is v rounded to 5 decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2537 and 190.\nAnswer: -482030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4 and -1001327?\nAnswer: 1001326.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 16896374 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is 7.896999l in millilitres?\nAnswer: 7896.999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 164.6 - 165. Let k be 2\/8 - (-161)\/140. What is the second biggest value in i, k, 0.4, 0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -77 - ((14 - -26) + -9 - 32)\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 1668*u + 125 = -1685*u, -3*t + 4*u + 44 = 0 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q\/(q*q**(-1\/5)*q)))**(-14)*(q*q\/(q**(-6)\/q)*q)**23)**(-5) assuming q is positive.\nAnswer: q**(-954)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*q*w**3 - 10*q*w**2 + 319963*q*w - 4*q - 40*w**3 + 1147*w**2 + w wrt w?\nAnswer: 12*q*w - 20*q - 240*w + 2294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -758 and -0.033.\nAnswer: 25.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 103.75+5\nAnswer: 108.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0697 - 0.4697. Let m = -2.95 - 0.05. Let w = m - -2.9. What is the second biggest value in j, 2\/5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffww when four letters picked without replacement from {f: 2, c: 5, w: 3}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -121211?\nAnswer: 122000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**2 + 59*d - 5*d**2 - 2*d**2 - d**2.\nAnswer: -7*d**2 + 59*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2656673777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-21*6\/24)\/((-3)\/(-4))).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of -n**7\/2520 - 17*n**6\/720 - 13*n**5\/120 + n**4 - 29*n. Let b(o) be the third derivative of s(o). Does 4 divide b(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 908148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 x when two letters picked without replacement from rmxes?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -111384 + 111384. Let x - 3\/4*l**3 + 15\/4*l**2 + 9\/2*l = 0. What is l?\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 1 + 3 + -8\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.14572 + 145.\nAnswer: 144.85428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 5*d**3 + d**2. Let i be r(-1). Which is the nearest to 0? (a) 0.1 (b) 0.6 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195\/2 at least 97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 5*s - 6. Find a, given that 0*a**3 + 2*a**3 + 2*a**2 - s*a**4 - 189*a**5 + 187*a**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 66*z**2 - z + 794. Let k(f) = -2*f - 31. What is o(k(v))?\nAnswer: 264*v**2 + 8186*v + 64251","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvdddvvddvv. Give prob of sequence dvd.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 141 + 18*m + 6*m**2 - 20 - 7*m**2 + 0*m**2 to y + h*m + d*m**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2*o - 21*o**3 - 36*o**3 - 74*o + 49*o**3 as j*o**3 + r + u*o + c*o**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 23840 = 4*a, 4*a - 21658 = -3*i + 2203. Suppose 4*g - a = -w, 4*w - 6*w + 11962 = -g. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 887980?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 31? (a) 36.6 (b) -2\/7 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 6:00 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*b = -627 + 2035. Solve -b*l = -37*l + 7 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -22*q**2 + 3*q + 13. Let f(w) = -w**2 + w - 1. Let z(x) = -a(x) + 3*f(x). Differentiate z(n) with respect to n.\nAnswer: 38*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 4 (c) 5236040 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 29640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/32*(-24)\/3*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uvy when three letters picked without replacement from jrujxjyxruryrvyjx.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 9*v**2 + 17*v - 19. Let w be x(7). Let n(l) = -22 + w*l + l**3 + 2*l**2 - l**2 + 25 + 3*l**2. What is n(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1857 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(6\/(-8))*(-59)\/236. Is n less than 0.0006?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(84) + (sqrt(84) - ((sqrt(84) - sqrt(84)*4) + sqrt(84))*4) - sqrt(84)))\/(2*sqrt(12)*4 + sqrt(12) + (sqrt(60)\/sqrt(5) - sqrt(12))*-3).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-4\/7)\/m**(1\/2))**(-1\/6) assuming m is positive.\nAnswer: m**(5\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -41, -107, -211, -371, -605, -931, -1367?\n\"Answer: -3*m**3 - m**2 - 42*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 476980 = -3*o - b, -794990 = -5*o - 2*b. Round o to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5 = 199. Does 10 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2*h + 4*h - 4*h)*(-1 + 4 - 2) - 2*h + 3*h - 2*h)*(-577*h - 666*h + 898*h) to the form n + t*h**2 + s*h and give t.\nAnswer: -345","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -53\/4 (c) 2\/3 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/(-20)*-1 - 8314\/(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33\/(891\/1026))\/((-6)\/60*-5).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215*g + 3161 = 85 - 2514 for g.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1803139085 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -221*y - 2. Does 20 divide t(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1928 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1548.8 less than or equal to 25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.9 + -8. Let u = -0.2 - q. Let t = -8.3 + 8. Sort t, u, 3 in descending order.\nAnswer: 3, u, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -55206 - -59743.18. Let b = 4471.1771 - r. Let h = b - -66. Round h to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2. Suppose -v + 8 = 3*c, c - 5 = -2*v + 1. Let a(p) be the first derivative of p**2\/2 - 4*p + 1. What is c*a(q) + 5*n(q)?\nAnswer: 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 30169267?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.01 + 0.29. Let t be (-1)\/(1 - 0) + 602\/14. Let i be t\/8 - 25\/5. What is the smallest value in i, 0, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-55)*(-10472)\/3808.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 32880?\nAnswer: 32880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 62144 and 46608?\nAnswer: 186432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 8*n - 10. Let u = 131 - 118. Let a be t(u). Does 10 divide (-1 - 3) + a - 4*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -0*l + 3*f - 19, 5*l + 4*f + 13 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 21 = -4*v + 2*d, v - 2*d = 6. Let k be -1*(4 - 8 - -5). Let h = 1 - k. Solve -h*r = v + 6 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 + 26. Is 6 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -6*-46*(-5)\/(-15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s - 5 = 9. Let w(b) = b**3 - 3*b + 2. Let v be w(s). Let p be (-2*(v - 75))\/(10\/520). Round p to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*z = -2 - 30. Suppose -9*p = -5*p - 120. Suppose -p*f = -28*f - 16. Solve j - 2 = -3*g, -4*j + z*g = -3*g - f for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1968 and 8241.\nAnswer: 131856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from owhxn. What is prob of sequence xo?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 5) to base 14\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/11, 4, 2, 3 in ascending order.\nAnswer: 1\/11, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -53 - -229. Suppose 81*x - 6616 = -4834. Calculate the greatest common divisor of c and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, -261, -824, -1683, -2844, -4313, -6096?\nAnswer: -8199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 >= 1243?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in -277, 1\/2, -11, -4\/5, 5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) 21\/5 (b) 3 (c) -4 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21799 - -73801. Suppose 3*g - 16842 = 2*d + 9155, -4*d - 2*g = r. Round d to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -d**9\/15120 - d**7\/2520 + d**4\/4 - 2*d. Let o(l) be the third derivative of n(l). Find the third derivative of o(c) wrt c.\nAnswer: -24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.02 - -3.02. Let l = a - 5. Let r = -81 + 82. What is the biggest value in 3\/2, r, l?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -477.8 + 478. What is the second biggest value in 5, f, 1.4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 - 7. What is the tens digit of 20\/110 + 130\/b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25773 and 4686.\nAnswer: 51546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 3*w**2 - 3*w - 24. Determine m(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -196880000 to the nearest 1000000.\nAnswer: -197000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 1, 226068, -1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k**2 - 397 + 397 to the form c + m*k + q*k**2 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42225026 (base 7) to base 13.\nAnswer: 97ca03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 1. Suppose -3*s - 2*b = -1, s - 3 = i*s + 3*b. Let x be 1*s - (-5 + 6). Solve -3*d - x - 7 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1955482 by -20803.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 16 = -24. Let f(q) = -5 - 7 + 7*q**2 - 4*q**2 - r*q**2 + 11*q. Give f(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 25. Let t be -1 - 4\/((-12)\/r). Solve 0 = -2*n - 3*z + 21, t*n + 2*z - 27 = -z for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -179824, -357140, -534456, -711772, -889088?\nAnswer: -1066404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 575 + -5395. Let z = 13533 - u. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -301 (base 10) to base 16.\nAnswer: -12d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - h + 8 = 0. Let l be (h\/10 + (-14)\/(-35))\/1. Solve l = 5*v + q - 6, 5*q = -5*v + 2 + 8 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/60*(-6)\/1*-5)\/(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*k + 27*k + 1412 - 92 = 0 for k.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -955, -1955, -2975, -4009, -5051, -6095, -7135?\n\"Answer: f**3 - 16*f**2 - 959*f + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -x**6\/120 + x**5\/15 - x**4\/12 + x**3\/6 - 19*x**2. Let f = 53 - 48. What is the smallest common multiple of f and n(3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 12*f + 5 = 0. Solve -9 = -5*w + f for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38672 + 13069121.45\nAnswer: 13107793.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/8 and 137\/9216.\nAnswer: 9216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 313 - 13 = 0. Let q = 95 + n. Does 15 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 5 + 1. Let w(g) = -g**2 - 3*g + 5. Let p be w(l). Let v be 5 - 6 - (p - 1). Is v less than or equal to 1\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*s + 57686 - 57686.\nAnswer: 39*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 5 = 0, 5444 = -3*v - 9*g + 27*g + 5522 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -4*c - 61. Let r(s) = -2*s**2 - s - 14. Let b(z) = -n(z) + 4*r(z). Let g(x) = 7*x**2 - 6. Determine 5*b(d) + 4*g(d).\nAnswer: -12*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 not equal to 3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5a355 (base 14) to base 8.\nAnswer: 656027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q + 6546 - 6566 = -3*a, -7*q - 2*a - a = a - 15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.2 + 0.84.\nAnswer: -5.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -1. Let k = g - -12. Is 4 a factor of (-20)\/k*(-1 - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2586770 (base 9) to base 8\nAnswer: -5314703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*x = 2*g - 112*x + 30, -5*x = 5*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 53*s**2 + 0 - 48*s**2 + 3. Let o(v) = -v. Determine c(o(z)).\nAnswer: 5*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 652*s**3 - 1301*s**3 + 647*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2\/4 + 1322535*n\/4 + 991908.\nAnswer: -3*(n - 440848)*(n + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + 158*p - 18. Calculate m(9).\nAnswer: 1485","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**3 - 4*n**2 - 3. Let v be z(3). Let h = -9 + v. Solve -a = a - h for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 287 and 322.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -10528, -2, 0.1, 0.5, -12?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1552355*t + 221595*t - 1.\nAnswer: 1773950*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 4*w**4 - 30*w + 31*w - 2*w**4 + 0 to the form y*w**2 + p*w**3 + x*w + k + s*w**4 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1941*b + 971*b + 970*b + 7*b**2.\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 469743352 divided by 92\nAnswer: 5105906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38502112 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000018559332 to 7 decimal places.\nAnswer: 0.0000186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62666624?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h. Let v be (-71)\/(-1) - (4 - 8). Let j(d) = v*d - 33*d - 35*d. Calculate g(j(z)).\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 64 = -9*t. Let i(w) be the third derivative of -7*w**6\/120 - 7*w**5\/60 + w**4\/24 + 4*w**2. Is i(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 162*c**3*v*z + 2*c**3*z - c**3 + 2*c**2*z - c**2 + 2*c*v + 33*v wrt c?\nAnswer: 972*v*z + 12*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -278205, -556405, -834601, -1112793, -1390981, -1669165, -1947345?\n\"Answer: 2*b**2 - 278206*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*v = 27*v + 2*x - 21, -4*v = 9*x - 15 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 + 0\/2 + 1. Let x(g) = -67 - 2*g + 3*g + 69 - 2*g. Let u(t) = t - 2. Let d = 19 - 13. Give b*x(n) + d*u(n).\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -64 - -64.3. Which is the closest to 0.1? (a) j (b) 1\/11 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100831.5029 rounded to the nearest 1000?\nAnswer: 101000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 344258?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -1041*p**2. Let r(n) be the third derivative of n**4\/24 - 2031*n**2. What is x(r(g))?\nAnswer: -1041*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1*sqrt(72) + sqrt(72)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3\/(65*3\/(-51) - -4).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12772698 to the power of 1\/2, to the nearest integer?\nAnswer: 3574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 380?\nAnswer: -9\/380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 10*v**3 - 3*v**2 + 3*v - 1. Let a be l(1). Let r be 0\/(a - 5)*1. Solve r = 2*f - 4*f - 10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -5 - ((-11040)\/416 - -30)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + 5*o**2 - o + 1. Suppose 0 = 879*c - 881*c + 2. Let k be (-364)\/(-63) + (-2)\/(-9). Let m be (0\/3 - k)\/(1 + c). Give x(m).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and -1216896.\nAnswer: -1216895.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3 (b) -87 (c) -36 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 10:33 PM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24829, 3, -3, 1 in increasing order.\nAnswer: -24829, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -66*c + 71*c + 32 + 37 + 4. Let f be m(-14). Solve -f*a + 5 - 2 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*l**3 + 49885*l**2 + 31062720*l - 54512640.\nAnswer: 5*(l + 1248)**2*(4*l - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7427900*a**3 - 13*a**2 - 721337825?\nAnswer: -22283700*a**2 - 26*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.279226ng?\nAnswer: 0.000000279226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 29*k - 1546 = 31*k, 6180 = 4*l - 4*k. Is l a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((-12)\/6)*20\/(-2)*(-1410)\/705.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/5 or 172?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, 1, -0.018?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 108 = -2*a. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3286235, 6572429, 9858623, 13144817?\n\"Answer: 3286194*m + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1374 - -1373.98611. Round b to three decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-10))\/((27\/(-36)*-16)\/(-8))?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 109609686 to the nearest integer?\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6001018910?\nAnswer: 2, 5, 499, 1202609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - 33*u - 2*u)*(-1 + 5 - 5)*(1 + 6 - 1).\nAnswer: 210*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwwh when four letters picked without replacement from {h: 11, w: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -610369.8 rounded to the nearest 1000?\nAnswer: -610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/5 - 35651578*a\/5 - 317758753472521\/5.\nAnswer: -(a + 17825789)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 29207.259 rounded to the nearest one thousand?\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(6050)*-1 + sqrt(6050))*-5)\/(sqrt(360)*-5 - (sqrt(40)*-3)\/sqrt(4))*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 977421?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 295*y**4 - 1121 + 117*y**3 + 293*y**4 - 41*y**3 - 590*y**4 wrt y?\nAnswer: -8*y**3 + 228*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (3 - (-16)\/(-12))\/(-1)*-93?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 5 - 2)*(-7*w**3 + 5*w**2 - 5*w**2) - 3*w**3 + 3*w**3 + w**3.\nAnswer: -48*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - k = 5. Let d be (2\/8)\/(-6 + k). Let i = -4.6 + 5. Which is the nearest to d? (a) i (b) 2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 247782 divided by -82594?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 340*t + 52. What are the prime factors of g(1)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1019\/2 + 35631\/70. Let d = h + -4\/35. Is 0 greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 10 = -4. Suppose x = -5, -4*f + 23 = -0*f - c*x. Which is greater: f or -0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 550187848 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -65\/3, -60, 3\/151?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 - 5 = -3*b. Let k(j) = -5*j**2 - j + 1. Let q be k(1). Let r(w) = w**3 + 5*w**2 - 3*w - 12. Let d be r(q). Solve d*n + n = -b for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2124*q + 2283*q + 439*q + 2241*q in the form h + u*q and give u.\nAnswer: 7087","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -120 (b) 17\/3 (c) -10 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35 + 3*r**2 - 3*r**2 - r**2 to w*r**2 + p + l*r and give p.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18.84 - -18.878. Let i = -32.967 + 33. Let m = i - a. What is m rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/14*(-5 + -1). Let y = 1.2166 + -0.8166. Let b be (1\/5)\/(1 + 0). What is the nearest to b in 5, y, x?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/11)*o)**(-3) assuming o is positive.\nAnswer: o**(-39\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/672 - 575\/672. Let z be (4\/52)\/((-1)\/(-2)). Let n = -63075 - -63074.7. Which is the fourth smallest value? (a) z (b) -5 (c) n (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1194926 a multiple of 392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8011 + -8007. Solve -4*g + 2*a = -12, -s*a + 12 = -3*g + 31 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, l: 1, o: 6, v: 3}. Give prob of picking 3 v.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/44613 and -54\/421345.\nAnswer: 3792105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -74 + 72.14. What is z rounded to 1 decimal place?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0074398012 rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 160\/9 - 18. Let q = -9.834 - -3.834. Which is the closest to h? (a) -1 (b) q (c) 0.2 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of 49*b**9\/72 + 3*b**5\/20 - 17*b**3\/6 + 2*b**2 - 240. What is the third derivative of j(k) wrt k?\nAnswer: 41160*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18076 to the nearest one thousand.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q - 60. Let h be y(0). Let x = 70 + h. Let g be (2 - 12)\/(x\/(-4)). Solve g*l + 0*p + 1 = -3*p, 4*l = -4*p for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*l - 41*l + 33089400 = 0. Round l to the nearest 100000.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1386*h - 265 - 264 + 529 + 4306*h to the form r + t*h and give t.\nAnswer: 5692","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 - 6*g - 1. Suppose -3*t - 31 = 2*h + 7, -5*t - 66 = 4*h. Let r = -16 - t. Determine l(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -33*q**3 + 2*q**2 + 3*q + 2. What is d(-1)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -575360 divided by -115072\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of 3\/50*j**5 + 0*j + 1\/15*j**3 + 1\/75*j**6 - 2*j**2 + 1\/10*j**4 + 0. Determine a, given that x(a) = 0.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, w: 8, a: 8}. Give prob of picking 1 a and 3 r.\nAnswer: 32\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -250*i + 648. Calculate k(3).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 12*l = -15. Let v be 16 - (-2 + l - 0). Calculate the greatest common divisor of 15 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208636 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/17 - (-4816)\/(-476)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57 and 27403301.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(176) + -5 + 4 + -1 + 3)**2.\nAnswer: 24*sqrt(11) + 531","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34389009 is divided by 399.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (3445\/10)\/(2\/4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20.001 + -0.001. Let r = -19.9 + i. Suppose 3 = 2*c - 3*c. What is the nearest to r in -2, 4, c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 12\/11 (b) 4\/9 (c) 0.01 (d) -2\/105\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 6*a - 31. Suppose 132 = 4*t - a. Solve -5*i = 11 - t for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 5*s**2 + s + 2632. Let l(a) = 315*a. Give l(b(h)).\nAnswer: 1575*h**2 + 315*h + 829080","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, -2575 in descending order.\nAnswer: 5, -2, -2575","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 + 2*o)*((-3*o + 2 - 2)*(6 - 8 - 5) - 2 + o + 2).\nAnswer: 44*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 1\/8, -0.011, -1\/6, 5, 0 in ascending order.\nAnswer: -1\/6, -0.011, 0, 1\/8, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 351*s - 3578 + 55 = 552 + 6104 for s.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23887 is divided by 254?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(396)*-1 + -1 - (sqrt(396) + (-4*sqrt(396)*1)**2))*-5.\nAnswer: -158425 - 300*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmccc. Give prob of picking 2 m.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dxxdxjzxldd. What is prob of picking 1 l and 1 j?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*u = -30*u + 220. Is 15 a factor of ((-33)\/u)\/(2\/50)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1444184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -14455689 and -14.6?\nAnswer: 14455674.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17440471.\nAnswer: 17440471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 v when two letters picked without replacement from {w: 1, v: 1, b: 2, y: 1, f: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 10) + (4 - 0) - 1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t + 6*t + 5*t - 5*t. Let f(z) = 1 - 5 + 4 - z. Give f(u(p)).\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l**2. Let m(y) = 1. Let k(g) = -10*g**2 + 4. Let w(u) = k(u) - 10*m(u). Determine w(d(p)).\nAnswer: -90*p**4 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-2 + -2 + 3 - (-52 - -9)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.6 and 8.3.\nAnswer: 6.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 308 and 84?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 9:38 PM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 6 - (4 - 1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cr when two letters picked without replacement from {i: 6, z: 1, y: 1, k: 1, r: 3, c: 3}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13\/20? (a) 2 (b) -3\/10 (c) 0 (d) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.182 (b) 114 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000044581 rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1677 - -3260. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7428\/253 - -1734743\/54648. Let g = d - 1\/108. Calculate the common denominator of g and -16\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)*6 - (0 + -1*sqrt(3)))*5)**2.\nAnswer: 46875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-143 - 6)\/((-2)\/4) + -4 and 3.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5146 + -16?\nAnswer: -5164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g + 5, -2 + 0 = 2*f + 3*g + 2*g + 3 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 6:08 PM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m**3 + 4*m**3 + 2*m**3 + (-3*m**3 + 3*m**3 + m**3)*(-3 - 2 + 4) + 2*m**3 + m**3 - 2*m**3 - 71*m**2 + 10*m**3 + 71*m**2.\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 times -4?\nAnswer: -1240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5828*k = -6007*k + 358 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*s**3\/9 - 4532*s**2\/9 - 3880*s\/9 + 704\/9 = 0. Calculate s.\nAnswer: -1, 2\/13, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -99.877 + -0.123. Put k, 4, -2\/9 in decreasing order.\nAnswer: 4, -2\/9, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fctffctfffftfffff. Give prob of picking 2 t and 2 f.\nAnswer: 99\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 164952552 a multiple of 584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 11:21 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 64097794309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 3*u + 4, m = -5*u - 10. Suppose -5*j + 0*z + m = z, 2*j + z - 4 = 0. Solve -5*f + 0*t + 28 = -j*t, f + 4*t = -12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -425, 32, -3, -1, 2 in descending order.\nAnswer: 32, 2, -1, -3, -425","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 (base 16) in base 6?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 8\/5 (b) -1\/9 (c) 0 (d) 0.5 (e) 2\/17 (f) 0.1 (g) -1433\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2495)\/(-7) - 5\/(70\/6).\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 228055 + 5*p - 3*p + 228087 + 9*p - 684201 + 228059.\nAnswer: 11*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -12) + (0 + -11 + 5 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 293738\/8 + (-8 - 31\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 2*f + 4. Let l be s(-11). Let j be 2\/14 + 3654\/l. Suppose 5*r + j = 0, -r = -p + 3*r + 23. Solve 5*m = p*a + 20, 7*m - 2*m - 25 = 4*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 414*b - 78 = 401*b. Calculate the lowest common multiple of b and 106.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/5 of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w**2 + w**2 + 2*w**2 + 4*w**2 - 5*w**2 + 2*w**2 + (2*w - 2*w + 2*w)*(-1 + 1 - 2*w) + (w + 0*w + 0*w + (0 + w + 0)*(0 - 3 + 4))*(3*w + w - 5*w).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - 4. Let l(p) = 2*p + 3. Let o be l(h). Let v = o - -12. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 - -58. Suppose -3*g = -2*o + 31, 0 = 3*o - o - g - y. Suppose o = 4*k - 65. Is 9 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/k**(-4)))\/k*k)**(-2\/33)\/(k**18*(k*k**(1\/33)*k)\/k*k) assuming k is positive.\nAnswer: k**(-653\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30 + 23. Let x(v) = -v**3 + 7*v**2 - 2*v - 1. Is x(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-6))\/(4\/66). Suppose 0 = 2*r + 2*l - 46, 5*l + w = r + r. Suppose -50 = 10*g - 70. Calculate the highest common divisor of g and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 25, 0.2, 4, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tbmp when four letters picked without replacement from pbpttmbpttbpbtttbbnt?\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -180*v + 3. List the prime factors of u(-2).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.0205 (b) -346 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from daacddadcadd. Give prob of sequence dcac.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235739847?\nAnswer: 3, 7, 233, 48179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*z + 189 = 21 - 200. Let a(t) = 2*t**2 + 28*t - 56. Give a(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 975 divided by 2.\nAnswer: 975\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*f**3 - 136*f - 264*f**2 - 24*f**4 - 174*f**3 - 28*f**4 + 213*f**5 - 209*f**5 - 68*f**2 = 0. What is f?\nAnswer: -2, -1, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96, 46, -4, -54, -104, -154?\nAnswer: -204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + 26. Let b(d) = -1299*d**2. What is s(b(c))?\nAnswer: 1687401*c**4 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25050 is divided by 12522.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 58*k = 60*k + 33, -k = 4*o + 24 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -8*x - 1. Let j be ((-34)\/4*-3)\/((-9)\/(-24)). Let k be (-1)\/2*j\/(-34). Give r(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, z: 10, u: 5, b: 4}. What is prob of picking 2 b and 1 j?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 3*c)*(7 - 7 + 9*c)*(-15*c**2 + 125*c - 125*c)*(-6 + 3 + 2)*(2 + 0 + 1) as v*c**2 + r*c + f*c**4 + z + s*c**3 and give f.\nAnswer: 1215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*x**3 - 4*x**3 + 5*x**3 + 47*x**3 + 0*x**3 + 14*x**3.\nAnswer: 25*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 524202.43694 - 524193. Let j = 9.517 - m. Let a = j + -0.08. Round a to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3718 + 9629 = -1435*g - 11048 for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.327 + 0.32557. What is q rounded to four dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*k + 52 - 52)*(395*k - 395*k - 121*k**4).\nAnswer: -1210*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of q**5\/30 + q**4\/3 + 9*q**2\/2 + 11*q. Let z(m) be the first derivative of s(m). What is the second derivative of z(j) wrt j?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -444*(88\/(-12))\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/5)\/b**1)\/((b\/(b\/(b*b**(2\/9))))\/(b*b**(2\/5)*b)) assuming b is positive.\nAnswer: b**(7\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27939215 + 11.\nAnswer: 27939226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-320 + 320 - 55*s)*(3*s + 4*s - 4*s) + 9*s**2 + 3 - 44*s**2 - 4 to x + f*s + u*s**2 and give u.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 15753, 31320, 46715, 61932, 76965, 91808, 106455, 120900?\n\"Answer: -n**3 - 80*n**2 + 15814*n + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -6395576 divided by -26428\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -16170 >= -16170?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 4*k = 6792, -k - 1621 - 1781 = -2*q. Suppose 3*u - 1690 = -0*u + 2*h, 4*h = 3*u - q. Is 70 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 11:41 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -6*l - 15. Let d(m) = m + 3. Let j(v) = v. Let f(a) = -d(a) - 3*j(a). Give f(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 s when two letters picked without replacement from xxxssxscssxssx.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wf when two letters picked without replacement from {q: 2, w: 1, p: 2, f: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-3\/2))**(-2\/21)*j**(-20)*j**(-3\/5) assuming j is positive.\nAnswer: j**(-2188\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 773219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -r + 212560512 + 93439487, -4*r = 2*i - 203999996. Suppose -7*z - i = -4*z. Round z to the nearest 1000000.\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7944 and -147.\nAnswer: -8091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/8 of a second?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -11. Let x = 10 - j. Suppose -x*i = -i + 1300000. Round i to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6389, -13612, -21667, -30554, -40273?\n\"Answer: -416*t**2 - 5975*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + -1. Let v be (p - -9)\/(3 - 1). Differentiate -3 + v - 5*x + 3*x**2 + 5*x with respect to x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7076.456 centuries in millennia?\nAnswer: 707.6456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 - 56*p**2 - 48*p + 464. Give c(-55).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59 + 1611 + 122 = 112*r for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54464133.\nAnswer: 3, 18154711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254853?\nAnswer: 3, 9439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/2882 and -40\/1089?\nAnswer: 285318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -9699385 + 0\nAnswer: -9699385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7420, 15343, 23764, 32683, 42100?\n\"Answer: 249*y**2 + 7176*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = c - 9. Suppose 3*r = -5*u + 46, 14*r = 3*u + 18*r - 32. Solve -c*m = m + u for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 246500 to the nearest integer?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*q**3 + 13*q**3 - 195*q + 7*q**3 + 356*q - 1 - 194*q + 27*q**4 as u*q**3 + d*q**2 + w + j*q + k*q**4 and give k.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 24*m**3 - 12*m**2 - 9*m + 23. What is the thousands digit of d(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34 + 33.9. Let x = 1.909 - -0.091. What is the biggest value in 0, z, 9, x?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 30\/1139, 1\/27, -7 in ascending order.\nAnswer: -7, 30\/1139, 1\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 109 + -236. Let b = -126.9999958 - v. Round b to seven dps.\nAnswer: 0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 621364715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g = 3*t + 7 - 175, 5*g + 120 = 5*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25952 is divided by 656.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f + 1. Suppose -6*a = -3*a - 66. Let t = a + -16. Let h(v) = v - t - 2*v + 0 + 2. Determine h(s) + 3*q(s).\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of a**5\/60 + a**4\/6 + a**3\/3 + 28*a**2. Give o(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t = -1828 + 6428. What is the least common multiple of 4 and t?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 24 = 33, -4*r - 11 = -5*x. Which is smaller: r or -2\/1259?\nAnswer: -2\/1259","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y**2 + 7*y - 51. Let n be j(4). Suppose -15*s = -n*s - 30. Let x(t) = -t**2 + 6*t - 3. Let a(h) = h**2 + 1. Calculate s*a(o) - x(o).\nAnswer: -2*o**2 - 6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of -5*o**5\/4 + 4*o**4\/3 + 12*o. Find the third derivative of y(i) wrt i.\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**4\/15 + 484*k**3\/15 + 62414*k**2\/15 - 321136*k\/15 + 129592\/5 = 0. What is k?\nAnswer: -97, 2, 3, 334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 194903157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**3 + 6*d**2 + 6*d + 7. Let l(q) = q**2 + q + 1. Determine -c(z) + 6*l(z).\nAnswer: -2*z**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a kilogram in grams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f - 14. Let s be p(0). Let n(y) be the third derivative of y**6\/120 + y**5\/4 + 5*y**4\/8 + 3*y**3\/2 - 49*y**2 + 2*y - 69. Calculate n(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-14.\nAnswer: 4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 480 and 137280?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 73020151979 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.1, -192 in ascending order.\nAnswer: -192, -4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -1\/13 (b) 2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 2:55 AM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 11:37 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/1612 and -27\/155?\nAnswer: 8060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 1. Let h(g) = -4*g. Suppose 0 = 4*s + 4*p, 5*s + p = -0*p - 16. Let i(z) = s*d(z) + h(z). Calculate i(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.3094832 - -3.312. Let y = x + 0.2975462. Let z = -0.3 + y. What is z rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/87 and 145\/996.\nAnswer: 28884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 7 - 7 - ((-2 - 3) + 2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of 1\/7*u**2 + 1\/35*u**5 - 1\/7*u + 8 + 0*u**3 - 1\/14*u**4. Determine r, given that l(r) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11197\/19950 - -1\/798. Which is smaller: k or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 - 2*o - 1. Let q(v) = -3*v**2 + 2*v + 2. Let g = 1 + -4. Suppose 12 = 3*s - 6*s. What is g*q(t) + s*r(t)?\nAnswer: t**2 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 27*s + 14. What is the units digit of g(12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 520 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -70 + (2 - -18 - -33).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (-22 + 79) - (5 + -16).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -55935 = -55647?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 341129\/101 or 3379?\nAnswer: 3379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30.7 + -8.3. Let i = h - 22.18. Put -4, i, 1, -3 in increasing order.\nAnswer: -4, -3, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 703, 4200, 13755, 32398, 63159?\nAnswer: 109068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 104 - 111. What is the common denominator of 4 - 220\/(x - -2) and -57\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a meter in millimeters?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**3*n**3 + 180183*a**3 - 6*a**2 + 2*a*n - 34824*n**3 + n**2 wrt a.\nAnswer: -12*n**3 + 1081098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((5 + sqrt(17) + 1 - sqrt(68)*2) + (2*(sqrt(85) - -2*sqrt(85)))\/sqrt(5)).\nAnswer: -6*sqrt(17) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-6)\/(i\/(i**1\/i*i)))\/(i\/(i\/(i\/((i*i*i*i**2*i)\/i*i)*i*i)))**(-16\/7))**(22\/7) assuming i is positive.\nAnswer: i**(-1980\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + -1. Let n = -6.00042 - p. What is n rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -331, -327, -313, -283, -231, -151, -37, 117?\n\"Answer: b**3 - b**2 - 331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 4 = -2*n, 3*n = -0*x - x + 6. Solve n*m - m + 1 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -58, -60?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 2*i + 2466, 18*i = -2*h + 22*i + 1238. List the prime factors of h.\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 2*h - 11, 4*h + 2*q = -q + 25. Let v = -1.99 - -2. What is the nearest to 2 in 1\/7, h, v?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173*i - 1396 = -174*i. What is the tens digit of (-5)\/2*i\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -15*v + 63. Let b be ((-28)\/7 - -6)*-1. Let k(y) = -4*y + 16. Let p(q) = b*r(q) + 9*k(q). Let g(t) = t**2. What is p(g(x))?\nAnswer: -6*x**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -132\/64225 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0072608257 to 5 dps.\nAnswer: -0.00726","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71 + 1 + -3 + (3 - -2).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 - -43?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-16 - -16)\/((-4)\/2))\/3. Solve 4*c + 8 - 2 = 2*p, 4*p - 5*c - 9 = u for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 2. Suppose -y = -q*y + 2. What are the prime factors of y\/5*(6 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(7*52\/17108).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, e: 2, w: 11}. Give prob of picking 1 w and 1 e.\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 61\/2 of a tonne?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 28 = -4*w, -6*w - 8*a - 15*a - 3*a = -31*a + 42 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 53*w**2 - 617*w - 34. Determine y(16).\nAnswer: -434","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = j + 20 - 4, 0 = -5*j - 5. Is 47\/3 greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -11. Solve h - 12 = -h + 2*d, 0 = 3*h + d - y for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23131 = -260*v + 225*v + 85264. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b - 2*b**3 - 3*b + (430*b - 430*b - 21*b**2)*(-b - b + 1 + 0*b).\nAnswer: 40*b**3 - 21*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 10, 1, -13, 5, -198 in descending order.\nAnswer: 10, 5, 1, -4, -13, -198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.02 + -1.98. Suppose -2*m - 3*r = -5, 0 = r - 3 + 6. Let g be ((-8)\/112)\/((-2)\/m). Which is greater: g or x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 701*i - 701*i - 504*i**2.\nAnswer: -504*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 115153?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*i + 2*l - 138, 180 = 4*i - 4*l. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2873201 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5 + sqrt(243)*2 + ((0 + sqrt(3) + -1)**2 + sqrt(3))*3).\nAnswer: -60*sqrt(3) - 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*h - 0. Suppose -p + h = -0. Let u(m) = m - 2 - p + 1. Calculate u(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 12*w**2 - 10*w - 8. Let b be y(11). Suppose -2*k + b + 7 = 0. Solve 5*u + 15 = -3*s, -6*u - 15 = -k*s - u for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26 + 61 + 5*o**3 - 35 - 3*o wrt o.\nAnswer: 30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5456 + -5455.999995502. What is i rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 551696192 and 5224?\nAnswer: 5224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 2)*(285 + 292 + 1604*x - 1603*x).\nAnswer: -2*x - 1154","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 22590, 22802, 23024, 23262, 23522, 23810, 24132, 24494?\n\"Answer: c**3 - c**2 + 208*c + 22382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -20321201 (base 4) in base 15?\nAnswer: -abee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k = 246 - 253 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 252089 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 w = -42.1 + 241.1. Let y = -198.544 + w. Round y to 2 dps.\nAnswer: 0.46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gwg when three letters picked without replacement from gdwgdggwddwgwgwwwww.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 180 and 40.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-50))\/((-27)\/(-45)) - (-3)\/(-5).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ox when two letters picked without replacement from cwkcxoc.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(90)\/sqrt(3))\/sqrt(6).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {y: 1, t: 17}.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 620161 to the power of 1\/3, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23669 - -0.3641.\nAnswer: 23669.3641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14.2? (a) -20 (b) -1 (c) -55\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**33))\/q*(q\/(q\/(q*q**(-7))))\/q assuming q is positive.\nAnswer: q**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1082?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**4 + 154*a**3 - 1734*a**2 - 50490*a - 48600 = 0.\nAnswer: -12, -1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l + 8 = 35 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + 12 - (12 - -6) - (14 + 2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -5*d**2 - 15 + 5*d + 35*d**2 - 12*d**2 - 10*d**2 + d**3. Determine i(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-33)\/(-110) - 0)\/((-180)\/(-18600)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18.707 + 1.293. Which is the closest to w? (a) 1 (b) 6 (c) -0.3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (j + 0*j + 7*j)*(0 + 0 - 1) + 7*j - 3 - 3*j - j - 2 - j + 2 + (-2*j - j + j)*(1 + 1 + 0) as s*j + v and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25825.\nAnswer: 5, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -310709 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 3*n - 0*n + 5, -4*n = 4. Let y be (-30)\/3*(-8)\/10. Let f(o) = 15*o**3 + 5. Let k(l) = 10*l**3 + 3. Let q(m) = y*k(m) - 5*f(m). What is q(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2. Let z(a) = -7*a**2 - 25*a**2 + 7*a**2 + 5*a**2. Calculate h(z(i)).\nAnswer: -400*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 61 + -36. Suppose 3*f - 59 = l. Differentiate f*a**3 - 1 + 1 - 5 - 31*a**3 with respect to a.\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 4*c + 8. What is the units digit of r(12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((4 - 5)*(1 + -1))\/(-2). Suppose -2*g - 6*g + 2160 = k. 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: What is the difference between 1375.0765 and -6653?\nAnswer: 8028.0765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/1116 and -163\/810.\nAnswer: 50220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -1\/21, 0.12, -0.06, -0.5, -2\/3?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -118, -110, -100, -88, -74?\n\"Answer: l**2 + 5*l - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 - 120 = 2*j. Let l = j + 106. Suppose l = 4*m - 2*m. Is 15 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/39432 and 3\/249775432.\nAnswer: 749326296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -24221461 and 0.2?\nAnswer: 24221461.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 228 + -421\/2. Find the common denominator of -27\/2 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.99015 - -0.00985. Suppose -3*u - 58 = -5*h - 0*u, -4*h = 3*u - 68. What is the nearest to -0.1 in h, p, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*(-8)\/84 - (-12)\/(-42). Solve 0 = h - o*h + 5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132\/330 + 2 + 8\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.037493 rounded to 3 decimal places?\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + n + 18 = 0, k + 5*n + 2 = 16. Solve -k*t + 7*t = 12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 560 and -8 + 9604\/44 - (-6)\/(-22)?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*x**2 + 87315*x + 523710 = 0. Calculate x.\nAnswer: -17457, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -8, -53*c + 55*c + 10 = 4*r for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108 - 111 = -10*r - 239 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29772 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20276 and 97085324?\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5381431 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5 - -2)*(-6)\/9. Let o be 17 + (0 - -1) + -2. Solve -o = 6*y - 3*y + 4*b, 0 = 3*y - r*b - 8 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 3*k - 5, -68 = -2*k - 4*g - 66 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31 + -28. Solve 2*a + w*a = 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 3*f + f**2 + (-3 - 2*f + 3)*(6*f - 2*f - 3*f) + 0*f**2 + 5*f**2 + 0*f**2)*(-1 - 2 + 4).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -16493 + -375?\nAnswer: -16868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - -14)\/((24\/130)\/(-6)). What is the remainder when 159 is divided by 6\/(-9) - (1 - w\/(-21))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bhbb when four letters picked without replacement from {h: 2, b: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 19\/7 - (18\/(-14) + 1). Suppose -5*a + 190 = -k*l, a - 2*l = 3*l + 38. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*q - 5613 - 458*q**2 + 2238*q**4 + 5613 + 7*q wrt q?\nAnswer: 53712*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 34\/4 - 3\/(-6). Let s be 0*(2 - z\/6). Suppose s = -2*b - 2*b + 168. Is b a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1218, 7 in ascending order.\nAnswer: -1218, -5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4879\/18 + 271. Let q = 14\/9 + c. Put -0.2, -0.5, q in ascending order.\nAnswer: -0.5, -0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -11 + 9. Let s(w) = -6*w - 1. Let f be s(y). Which is the second biggest value? (a) f (b) -4\/3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 7*q + 18. Suppose 16*h = 60 + 4. Let f be p(h). Which is smaller: f or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -1626, -1\/3?\nAnswer: -1626","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18929 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -995339, -995346, -995367, -995408, -995475?\n\"Answer: -f**3 - f**2 + 3*f - 995340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, b: 1, i: 2}. Give prob of sequence iib.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*w\/((w*w**(1\/4))\/w))\/w*w*w**(2\/21)\/w)\/(w\/(w*w**(-1\/4)))**41)**(-19))**(5\/3) assuming w is positive.\nAnswer: w**(37525\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*m**4*w + m**4 + 12*m**2 - 2*w - 13 wrt m?\nAnswer: -16*m**3*w + 4*m**3 + 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 7*b - 1 - 3*b + 0*b + 2*b. Let d(z) = z - 8. Let c be d(10). Give w(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 690019234 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5618.171 millimeters in nanometers?\nAnswer: 5618171000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, w: 2, m: 3, l: 4}. Give prob of sequence llw.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**5 + 9*d**2 - 11*d**2 + 2*d**5 wrt d.\nAnswer: 240*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 509941.\nAnswer: -5\/509941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -127 + 177. Suppose 40*r - u*r = -2100. Is 14 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 147610 and 2900.\nAnswer: 1476100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 43906292357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5379\/263755 or 1?\nAnswer: 5379\/263755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5980501 and 4941.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 2*q - 3*z = -3, 5*q + 4*z - 4 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 576176?\nAnswer: 2, 36011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 + 11 = 5*v. Let w = 30 + v. Let z = w + 4. Solve 0 = 3*r + g - 5, -5*r - 6*g = -3*g - z for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*y - 54 = 67*y + 78 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j + 6*j = -40. Let u(b) = -b**3 + 7*b**2 + 8*b + 6. Let g be u(j). Let l(i) = 2*i**3 - i**2 + 2*i + 3. Is l(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44 - -448. Suppose 409*v - 810 = z*v. Calculate the greatest common factor of v and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.81 + 0.993. Let u = s + -0.1699. Round u to three decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/210)\/(13\/(-5577)). Let r = o - -60\/7. Sort -3, 1\/2, r, -5.\nAnswer: -5, -3, r, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -13 in increasing order.\nAnswer: -13, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 40340291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h = -4*h + b + 12401 - 12349, 9*h - 3*b + 138 = 0 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 49*t**2 - 47*t + 169. Let b be v(-48). Let y(f) = f**2 - 5. Let x be y(-4). What is the greatest common factor of x and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3071\/7 + 437. Suppose 6*i - 7*i + 7 = -4*v, 3*i = v + 10. Is v greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3376*h. Let c(y) = -2*y**2. Determine c(q(v)).\nAnswer: -22794752*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -6*a**2 - 3*a - 2. Let f(t) be the second derivative of -t**3\/6 - t**2\/2 - 6*t - 52. Give -3*f(m) + l(m).\nAnswer: -6*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1410 and 3761410?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1133 (base 5) to base 2\nAnswer: 10101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/30)\/(3\/(3564\/27)).\nAnswer: -44\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2 = -v, v = -2*p + 3*v - 8. Let h be p\/6 - (-70)\/126. Which is the closest to 2? (a) 2 (b) 1\/7 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 275*n**3 + 42*n - 10. Let f(l) = 274*l**3 + 42*l - 11. Let k(b) = -6*f(b) + 7*w(b). What is the second derivative of k(m) wrt m?\nAnswer: 1686*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4603324 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 58486357.6 rounded to the nearest ten thousand?\nAnswer: 58490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -4*v + 4*a - 9, -2*v - 7 = 3*a for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 6 + 2*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -5*p - 18, -3*p - p = -3*d + 27. Suppose 4*j - 3*g = -g + 6, -j = -3*g - d. Which is smaller: 5\/4 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 135, -18, 3, 8, 0 in descending order.\nAnswer: 135, 8, 3, 0, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2073 a factor of 22878334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -168 + 95*m**4 + 168 + 11*m**4 - 5*m**4 - 2*m**4 + (-2*m**4 + 2*m**4 + 2*m**4)*(2 - 3 + 2) - 4*m**4 + 3*m**4 - m**4.\nAnswer: 99*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 - 38 - 9*t.\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 v when four letters picked without replacement from vaaaaaaavvaaaa.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.298 - -1.297347. What is s rounded to 5 dps?\nAnswer: -0.00065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22\/5 + 46\/15. Which is the biggest value? (a) 4 (b) r (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 0. Suppose 15 = 2*a + b. Let z be ((-6)\/(-7))\/(2\/14). Solve 3*f + a*n = z, -3*f = 4*n - 7*n - 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 + -41.2. Let c = -0.2 - z. Let p = -355\/2 + 179. What is the second smallest value in c, p, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20*(-8)\/192)\/((-60)\/468)?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181 is divided by 63?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 136 = 76. Let o(s) = -s**2 - 1 + 11*s**2 + 3*s**2. What is the remainder when f is divided by o(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1307?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(3 - 2) - 174\/903. Let h = f + -25861\/4816. What is the common denominator of -33\/16 and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.07 + 0.07. Let n = -2.9 - x. Let q = -1.1 + 1. What is the third smallest value in q, 1, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-880)\/5168 + (-16 - -4)\/(-228)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6063060 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.94 - -0.06. Let r = z - 0.99999994. Round r to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 8*j**2 - 50*j - 20. Let r be h(-12). Solve -r*n + 6*i - 2*i - 8 = 0, 5*i - 11 = 4*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (88 - (112 + 11)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -595693*u + 595753*u - 2506 + 586 = 0 for u.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801635419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - k = 2*k - 11, 0 = -5*m + 3*k - 20. Which is the closest to 0.1? (a) 2 (b) m (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -q + 20. Let x be (-1)\/7 - (-87384)\/168. Suppose -h + x = q*h. Is 26 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 9*y = -2*o - 30, 4*y - 6 = -6*o for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -4*n + 3\/2*n**2 - 7. Suppose z = -0 + 3. Calculate b(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 2. Let i = d + -3. Suppose -16 = -4*n + 2*t, i*n + t - 10 = -n. Is 3 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 177\/(-1062) - 1\/(2\/(-2))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**5 - 5*j**4 - 13*j**3 - 7*j**2.\nAnswer: j**2*(j - 7)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**2 + 4*l. Let t be v(-3). Let f(h) = -4*h - t - 2*h + 0 + 7*h. Let i be f(8). Calculate the highest common divisor of i and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 14*s + 1. Let m be q(-1). Let k = m - -8. Suppose 123*y - 10 = 113*y. Sort 0, y, k in decreasing order.\nAnswer: y, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17836\/1612 + (-14 - -3)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -35 + (26 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-65)\/(5\/(-90)*3). What is a rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20443079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3 = -2*t, 2*w - 3 = t - 2*t. Which is the closest to t? (a) -4 (b) -1\/2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -6 - 2. Find the first derivative of 7*z**4 + 27 - z**4 - t*z**4 - 5 wrt z.\nAnswer: 16*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + q + 1. Let h(t) = -14*t**2 + 3*t + 3. Let i(z) = 52*z**2 - 11*z - 11. Let j(v) = 11*h(v) + 3*i(v). Determine -2*j(w) - 3*s(w).\nAnswer: -w**2 - 3*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 b when two letters picked without replacement from bxbgnnxf?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -13039 and -0.23?\nAnswer: 13038.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -695096306*a*f**3 - 638751977*a*f wrt f?\nAnswer: -4170577836*a*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 918829 is divided by 54044?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 61610 and 244.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3.022404 times -0.2\nAnswer: -0.6044808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -a**2\/2 + a - 2. Suppose -5*t = -0*l + 3*l + 6, -l + 3*t - 2 = 0. What is the units digit of i(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*((-52)\/(-12))\/1. Suppose s*b = 10*b + 300. Is 27 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 + -30. Suppose 13 = l*d - 2*h - 45, -5*d + h + 99 = 0. Let y(z) = -z**2 + 20. What is the lowest common multiple of y(0) and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*h - 12 - 82 = 0. Let b(f) = 5*f - 4. Let n(l) = 11*l - 9. Let m(s) = -13*b(s) + 6*n(s). Give m(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*c*y*z - 208496*c*y - c*z + 12*c - 2*y - 6921695*z - 1 wrt c?\nAnswer: -2*y*z - 208496*y - z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -384 = 21*g + 120 for g.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*n = 34*n - 3*b - 5, 4*b = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 353*l + 1783. Let m be r(-5). Solve u - 5*b - 4 = 0, 19*u - m*u + 3*b + 4 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 - (19 + -24 + 6).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 9:41 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -162\/35 - -21\/5. Let p = 2\/21 + t. What is the third biggest value in p, -0.1, 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 704.07 litres to millilitres.\nAnswer: 704070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -24*w + 36. Let b(s) = -s. Let t(u) = -9*b(u) + n(u). Find the first derivative of t(q) wrt q.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1669 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3299197188 a multiple of 1978?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7775\/(-20) - (-6)\/(-21 + -3). Let f = 484 + y. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 524*w**3 - 478 wrt w?\nAnswer: 1572*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i + 2 + 4 - 3 - i**2. Let s(u) = u**3 + 3*u**2. Let b be s(-3). Let a = b - -2. Give z(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.043 - 0.4?\nAnswer: -0.443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*c - 30*c - 50067 = -722691. What is the thousands digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.22349 - 3.22349. Which is the closest to 0.1? (a) f (b) 0.4 (c) 2 (d) -47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110101 - -100001?\nAnswer: -10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3*x. Let p be 4\/10 + (-324)\/(-90). What is j(p)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25707.1 rounded to the nearest 10?\nAnswer: 25710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -100362 + 336263. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 147639602?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13987.218 months in decades?\nAnswer: 116.56015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rz when two letters picked without replacement from {z: 2, d: 4, g: 2, u: 1, r: 3, o: 2}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50800, -51302, -51804?\nAnswer: -52306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.455333nm in meters?\nAnswer: 0.000000007455333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1329*d**5\/2 + 17283*d**4\/2 + 39909*d**3 + 74604*d**2 + 42864*d + 192 = 0.\nAnswer: -4, -1, -2\/443","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(2*u - u + 18*u**2 - 3*u).\nAnswer: 36*u**2 - 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -16, -39, -72, -115?\nAnswer: -168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, j: 1, f: 3, x: 1}. Give prob of sequence af.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 o when two letters picked without replacement from ccqoccoeqocqoeecec?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 8:38 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + sqrt(75) + 1 + sqrt(75))**2*6 + ((-2 + (sqrt(75) - (0 + sqrt(75))))**2 - 2*sqrt(75)*2).\nAnswer: 700*sqrt(3) + 10840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: ((-63)\/28)\/(27\/(-6))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 13*k**2 + 26*k**2 + 8*k**2.\nAnswer: 21*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 + 2*d. Let g be l(-2). Suppose -4*p + g*p + 32 = 4*m, -3*m = 2*p - 15. Is 4 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1701 is divided by 210?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 82587261?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + 1. Let k be 90\/(-9)*(-6)\/15. Suppose 5*a = 3*q + k, -a = -2*a - q - 4. Let w(n) = -n**2 + 2*n + 3. What is a*w(c) + 2*z(c)?\nAnswer: -c**2 - 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23 and 7435064.\nAnswer: 171006472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155*c + 55*c + 60*c + 4*c**3 + 40*c.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54 (base 14) to base 8.\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3554.786 - -3551. Let o = 0.214 - i. Which is the second biggest value? (a) o (b) -1\/42 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 37331, 74634, 111927, 149204, 186459?\n\"Answer: -r**3 + r**2 + 37307*r + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.12 + -0.12. Let f = 3.9 - d. Which is the third smallest value? (a) -3\/5 (b) -6 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28763027*w**3*y**4 - 6*w**3*y**3 + 3799*w**3*y - 4*w**2*y**2 - 2355*y wrt y?\nAnswer: -690312648*w**3*y - 36*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*d**2 + 2*d + 4*d + 1 - d**2 + 9*d**2 to the form z*d + t + u*d**2 and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6345 by 27.\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -20266, 5, 4, -4 in descending order.\nAnswer: 5, 4, -2, -4, -20266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*z + 4*y, -z - 2*y + 4 = 8. Suppose 1 = 5*f - 4. Sort z, f, -1 in decreasing order.\nAnswer: z, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -3b8b8?\nAnswer: 3b8b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16045537, -32091078, -48136619, -64182160?\nAnswer: -80227701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c - 651 - 54 - 3*c + 5*c.\nAnswer: 5*c - 705","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44939.\nAnswer: 44939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10\/6)\/(1\/3). Let v = -2 - -6. Solve 3*d = -v - f for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28460367 and 903?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154 = -14*a + 12*a - 9*a for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 29\/5 of a gram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 13169746.\nAnswer: 1\/6584873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*q + 26 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 900 and 57702600?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i. Let b(v) be the third derivative of v**5\/6 - 9*v**2. Give b(f(j)).\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/15 and -46\/20157?\nAnswer: 100785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 15\/4 of a day?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 540 and 1198125135?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55924 is divided by 5370.\nAnswer: 2224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 7*w + 4*w + 555 = 0, 5*d - 565 = -w. What is the remainder when 1707 is divided by d?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (97433\/(-1796))\/((-105)\/(-12))?\nAnswer: -31\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of -5*r**8\/24 - r**6\/40 + 143*r**5\/30 + 185*r**2 - 2. Find the third derivative of x(t) wrt t.\nAnswer: -4200*t**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 8) to base 16.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmvv when four letters picked without replacement from mvmv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 11.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2*n + 2*h = 22, -15 = -4*n + h. Solve -5*d = 25, -a - 2*d = -3*a + n for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 2:03 AM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r\/r**(9\/5))*r**8*r)**(-9\/7)\/(((r**5*r)\/r)\/(r\/r**(-5\/3))*((r**2\/r)\/r)\/(r**(-1\/7)*r*r)) assuming r is positive.\nAnswer: r**(-1643\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (261\/(-45) + 7)\/((-7)\/(-10)*498\/581).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6579.5723 to 0 decimal places.\nAnswer: -6580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-20)\/6)\/(7 - 61\/9). Let q be (-92)\/(-3) + (-2)\/(-6). Let z = q + n. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.31 (b) 3\/2 (c) -5\/4 (d) 2\/9 (e) -19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-1\/17)\/x)\/x**(-3\/5)*(x*x**20)\/x**(-2\/83) assuming x is positive.\nAnswer: x**(152143\/7055)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 11*(4\/4 + 1). Suppose -w*l = -26*l + 12. What is c in -2*c**3 + 0*c**3 - 5*c**2 + l*c**2 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b + 13. Let l be m(9). Suppose 4*f - 3*k = 88, -2*k + 7*k = f - 39. Suppose -l*t = 3 - f. Let u(n) = n**2 - 3*n. Calculate u(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -20662, -82939, -186830, -332335, -519454, -748187, -1018534?\n\"Answer: -20807*j**2 + 144*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = -4*w + 25, -5*w = 2*j - j - 24 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22302980?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 371a (base 11) to base 3.\nAnswer: 20200001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(((-10)\/(-15))\/(4\/312)))\/(-1).\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.42 (b) -0.4 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61626259 = -m - u - 11526266, -m - 2*u + 50099996 = 0. Suppose -h + 2 = 0, -z - 5*h - m = -4*z. Round z to the nearest one million.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x + 8. Let r be u(-7). Let q(p) = -2*p - 8. Calculate q(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**2 - m**2 + 2*m**2)*(-3 + 3 - m + (0 - 1 + 0)*(3*m - m - m)) - 15*m**3 + 4*m - 4*m.\nAnswer: -11*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 5*c = 9*c - 4, -3*c = 4*b + 22 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 611042239 to the power of 1\/2, to the nearest integer?\nAnswer: 24719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -71 - -50. Let z = r + 20. Let q = -0.34 + -1.66. Which is the closest to z? (a) 2\/7 (b) 1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42*i**5*x**2 + 24*i**5*x + 15*i**2*x**2 - 935*i**2 wrt i.\nAnswer: 2520*i**2*x**2 + 1440*i**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g - 9*g - 3*g - 17*g to a*g + l and give a.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 22204 at least as big as 22208?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42188572 + 42188572 + 173*n**2 - 51*n**2.\nAnswer: 122*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (24 + -5)) + 23 + -8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 162 minus -0.9?\nAnswer: 162.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/2)\/(1\/(-156)). Let d = 180 - r. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*a**2 + 856*a + 888*a + 5 - 1747*a.\nAnswer: -17*a**2 - 3*a + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 18 divided by 6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14742 + -14742. What is the third smallest value in 30\/193, a, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13561*v + 27304*v - 13391*v.\nAnswer: 352*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, m: 2, r: 2}. Give prob of picking 1 m, 1 r, and 2 p.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 4:12 PM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11504 = 20*a - 4*a. What are the prime factors of a?\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-630)\/(-175))\/((-27)\/90))\/((-3)\/(-4)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + ((-6)\/2 - -74). Suppose 0 = 5*i + 13 - 23. Let s(o) = -34 - 4*o**i - 33 + n. Let k(h) = -3*h**2 + 2. Calculate 6*k(g) - 4*s(g).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/(-25) - 4\/10. Suppose p*v - 4 = 4*v. Is v\/(1\/(-418)) + 1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -q**8\/1008 + q**7\/315 + q**6\/120 - 2*q**5\/45 + q**4\/18 - 108*q**2 - 1. Suppose g(b) = 0. Calculate b.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 9*x + 11. Let o be i(8). What is the second derivative of 2*w - 3 + w**o + w**3 + 3 wrt w?\nAnswer: 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*c + 68*c**3 + 32*c + 19*c.\nAnswer: 68*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 42953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240347656.\nAnswer: 2, 30043457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -684.183 to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*k**5 - 10577*k**4 + 3*k**3 + 7*k**2 - 9*k + 703 wrt k.\nAnswer: -1200*k**2 - 253848*k + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*k + 8 = -3*k, 0 = -4*i + k + 13. Sort 9, i, -3, -4 in increasing order.\nAnswer: -4, -3, i, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1504, -1510, -1528, -1564, -1624, -1714, -1840, -2008?\n\"Answer: -h**3 + h - 1504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28515?\nAnswer: 3, 5, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -7785 take away 7516?\nAnswer: -15301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -58688740 (b) -4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.7 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 11*y - 556. Give o(51).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -180, -640, -1408, -2484, -3868, -5560?\n\"Answer: -154*u**2 + 2*u - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 424, -13, 0.2, 9, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87754558 is divided by 289.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 7*y + 7. Calculate c(7).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by -5129?\nAnswer: -15\/5129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2 - 2286*k + 439317.\nAnswer: -3*(k - 159)*(k + 921)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((3 + -4*(sqrt(245) + -1))*1 + -3))**2.\nAnswer: -896*sqrt(5) + 15744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1557519*a**4 + 19996853*a**2?\nAnswer: -37380456*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 10*s**2 + 11*s + 4. Let f be x(9). Let r be (-6 - -42) + (-1)\/11 + (-832)\/286. What is the greatest common factor of f and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -4 (b) -0.5 (c) -92\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**0)**(4\/21))**33\/(j\/j**(3\/2)*j*j*j**7*j*j**(3\/5)*j**(1\/5)*j) assuming j is positive.\nAnswer: j**(-113\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 18*i**3 + 7*i**2 + 16*i + 24. Let w(p) = 19*p**3 + 6*p**2 + 17*p + 25. Let k(l) = -5*r(l) + 4*w(l). Is k(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, z: 5, e: 2}. Give prob of sequence zc.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 213173.\nAnswer: 213173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/4, 4, -3\/5, 0.2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12702 (base 9) in base 14?\nAnswer: -31b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 0, 4 in increasing order.\nAnswer: -5, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/(-14))\/((-57)\/76) - (-11)\/7. Let b = -0.21 + 0.11. Put f, 0.5, b in ascending order.\nAnswer: b, 0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of -2*a**3\/3 - 2*a**2 - 4*a. What are the prime factors of t(-7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/(sqrt(48)\/sqrt(6)) + sqrt(84)\/(sqrt(12)*1) - (3 + (sqrt(1008) - -2*sqrt(1008)*6) + sqrt(1008)))**2.\nAnswer: 996*sqrt(7) + 192901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -860 or -859?\nAnswer: -860","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9554981?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/18 and 22\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3a5 - -15a?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + -25 + (19 - (-24 + 28))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20808?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/2)\/(-16*18\/9216).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1338 and 17636624.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7\/((-14)\/8) + 132. Let d = m + -132. Sort -2, d, 0 in decreasing order.\nAnswer: 0, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1)**(1\/3)*j\/(j\/j**(-14))*j**(-9) assuming j is positive.\nAnswer: j**(-68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 208?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/39*((-21)\/(-4) - 31668\/8736). Factor 7\/4*t**4 + 5\/2*t**3 - 27\/4*t + 27\/4 - 9\/2*t**2 + j*t**5.\nAnswer: (t - 1)**2*(t + 3)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/5 or -321047?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -12*z + 17*z + 4, 0 = 5*g - 2*z - 48. Solve g*n = 5*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/7)\/z*z)\/z)**(3\/4)\/(z*z**13*z\/(z**1*z*z)) assuming z is positive.\nAnswer: z**(-351\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-1) + 2*1. Solve -2*z - 16 = x*n, 4*z + 0*z + 3*n = -17 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/120 and -89\/30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -5*w - 19, 5*r + 4319*w = 4318*w + 34 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-39)\/102 + (-22)\/187. Which is the fourth biggest value? (a) -1\/7 (b) u (c) 0.3 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 940187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3630)\/2904*1\/2.\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 47*w**3 - 33*w**3 + 39*w**3.\nAnswer: 53*w**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + 5*l + 6. Let j be a(-2). Solve j = -n + 6*n + 20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-15)\/2*8\/(-10). Suppose 0 = -2*r + r - c. Is 6 a factor of -12*(r\/3)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 5*z = -9, -2*m + 3 = -z - 0*z. Let g(h) = -1 - 4 + m - h - h. Calculate g(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51\/179488 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1225875 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -102618*n + 615651. Calculate j(6).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1218, 1217, 1214, 1209, 1202?\n\"Answer: -m**2 + 2*m + 1217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/2*11\/33.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1452*z**4 + 645?\nAnswer: 5808*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-762*c - 1439 + 1439)*(-3 + 2*c**2 + 3).\nAnswer: -1524*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of 3\/2*d**2 + 0 + 7*d - 1\/6*d**3. Suppose -3*f + 46 - 8 = -4*b, -3*f + 8 = 2*b. What is k(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 113223 and 113218 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 6. Suppose -54 = -5*m - 2*c, p*m + c - 42 = 2*m. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000378813 rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 93414960 to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.07 + 0.13. Suppose 10 - 2 = 5*d - f, 5*d - 2*f = 6. Let n be 0\/(-5) - 1\/d*2. Which is the closest to n? (a) 2\/5 (b) -0.4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -11. Let a = 16 - z. What are the prime factors of a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 + 3*f**2 - 2*f**2)*(3*f - 2*f + 0*f) + (-f**3 + 1465*f**2 - 3078*f**2 + 2165*f**2)*(0 - 2 - 3).\nAnswer: 4*f**3 - 2760*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - 3*o + 28. Let x be a(0). Suppose -x*j + 532 = 10*j. What is the remainder when j is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(144) + (sqrt(144) + 1*sqrt(144) + sqrt(144))*-2)\/(sqrt(24)\/((-3*sqrt(15))\/sqrt(5))))**2.\nAnswer: 4049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -79 + -23. Let b = n - -151. Let p = b - 48.8. Is p greater than or equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5981263241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of -1\/2*g**2 + 6 + 28*g. Let a be i(19). What is the highest common divisor of a and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 5*c - 3. Give p(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 6 = 6. Suppose 0 = u*z - z + 2*n - 80, z + 5*n - 60 = 0. Find the third derivative of 8*t**4 - 14*t**2 + z*t**2 + 19*t**5 - 8*t**4 wrt t.\nAnswer: 1140*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r - 87 = y, -y + 16 - 2 = 5402411*r - 5402412*r - 4 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 4*f + 5. Let m be r(4). Suppose -45 = -31*x + 26*x. Suppose m*d - 49 + x = 0. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161*o**2 - 650*o**2 + 170*o**2 + 167*o**2 + 158*o**2 - 13*o.\nAnswer: 6*o**2 - 13*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**(-3)*r)\/r)\/r**(-2))\/(r*r\/(r\/(r**(-4\/5)\/r))*r*r\/r**9))\/(r**(-1\/5)\/(r*r**0))**(-14) assuming r is positive.\nAnswer: r**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 130\/18 + (-18)\/81. Let a be ((-26)\/f - -3) + 1. What is the third smallest value in 0.5, a, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3706 is divided by 49.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-136)\/36 - -4) + 7\/9. List the prime factors of (1 - -7)\/(((-3)\/(-42))\/q).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1377 is divided by 37.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 351?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 201.308 - 197.4. Let m = t - -0.092. Which is the nearest to 0.2? (a) -2 (b) -5\/2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 58*s**2 - 98*s + 796. What is the lowest common multiple of 6392 and w(-56)?\nAnswer: 19176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.2 - -1.4. Which is the closest to 2? (a) o (b) 5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 4*c - 3*c + 0*c - 4 - 3*c. Determine m(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqqppqpqqqq. What is prob of picking 4 q?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 100 + ((-3)\/6 + 1)*0. Suppose 112*p**4 + 62*p**4 - 32*p - 144*p**2 + 6*p**4 - 104*p**3 + z*p**5 = 0. What is p?\nAnswer: -2, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2\/1927769013?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16 + 15)*2\/(-2) - -3. Let v = -126 - -186. Suppose -g + v = 3*g. Solve -2*z = 3*h + g, 4*z + f*h + 20 = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 414*s**2 + 4*s + 4. Let j be r(-1). Suppose 3*v = -j + 1224. List the prime factors of v.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 930053?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 6 - 5. Let f be (-80)\/(-32)*(-6)\/5. Let s be ((-7 - -4) + f)\/(-14). Are l and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -157 - -278. Suppose -187 = -22*c + u. Solve -3*s - s = -2*d - c, -32 = -4*d - 4*s for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-25)\/(-25))\/(1\/2 - 1). What are the prime factors of 45 - ((-2)\/x - 5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -56, -76, -102, -134, -172?\n\"Answer: -3*w**2 - 11*w - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**2 - 17*i - 22. Let t be x(10). Suppose 30 = 18*a - t*a. What is v in -10\/3*v**a + 2\/3*v**4 + 0 + 6*v + 2*v**2 = 0?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/1108 and 85\/36?\nAnswer: 9972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-2 + (sqrt(448)*-2 + -5 - sqrt(448))*-4)*-1*-5)**2.\nAnswer: 777600*sqrt(7) + 14588100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -981*o + 977*o + 2*i - 40 = 0, 0 = -2*o + 5*i - 92 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, l: 2, y: 1}. Give prob of sequence yq.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2165378 and 244?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -68 + -c1b894?\nAnswer: -c1b92c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42 - -44. Does 19 divide 1*283\/2 - (-1)\/g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7766976 by -112.\nAnswer: -69348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2628 - 1318 - 1310 - 11403*j.\nAnswer: -11403*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1671 - 1543. What is the highest common factor of 96 and s?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -81 + -22 + 3?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + h**2 - 2 + (-7 + 14 - 2)*(3*h**2 - 5*h**2 + h**2))*(-h**2 - 2*h + 2*h) in the form v*h**3 + w + n*h + i*h**4 + f*h**2 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -4*p + 20, -5*p + 9*h = 6*h - 25. Suppose 0 = -2*c - p*n + 45, 3*n = c + 6*n - 24. Calculate the remainder when 194 is divided by c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 3. What is the first derivative of 2 - 3*x**2 + p - 5 wrt x?\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 276070\/50 - (1 + (-8)\/5). Is 13 a factor of v\/14 - 9\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1456101 divided by 17?\nAnswer: -85653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -0.8. Let u = -0.8 - k. Let l = u + 0.2. What is the closest to 0.1 in -0.5, l, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-450)\/(-21))\/(3\/21). Suppose -5*j = -v - 170, -4*j + n = v + 14. List the prime factors of j.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + 22*r - 16. Let m be z(21). Suppose -5*f = 2*u - 43, -m*f + 36 = -3*u - 12. Calculate the remainder when 104 is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1544.06 - 4\nAnswer: 1540.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -47 + -1610*(-49)\/686.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41 - -42. Does 18 divide 52 - (3 + (-6)\/3)*o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5523 divided by 37565\nAnswer: 5523\/37565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28795 by -87.\nAnswer: -28795\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 2)*((-105)\/(-36) + -3). Which is the biggest value? (a) t (b) 5 (c) -0.5 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 - 6*p + 13. Does 13 divide k(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 7*v**2 + 85*v - 3. Let j(n) = -52*n**2 - 596*n + 22. Let a(t) = -44*g(t) - 6*j(t). Factor a(w).\nAnswer: 4*w*(w - 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dw when two letters picked without replacement from {w: 3, f: 1, t: 1, d: 1, o: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-93 - 715 + 3517)*(5*q**2 - 5*q**2 + 2*q**2).\nAnswer: 5418*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (-1 - 3)) + -21 + (36 - 18) - -44?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3891 - 3891 - 39*n**2 + n**3)*(-2*n + 4*n - n).\nAnswer: n**4 - 39*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 6 = 14. Suppose 179 + 9 = h*x. Let i = x - 21. What are the prime factors of i?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -664*v**4 + 126726*v - 641493047 wrt v?\nAnswer: -2656*v**3 + 126726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 75197299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 116653578 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -1)\/(6 - 20)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-216))\/((-1)\/(-3)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -684 + 6?\nAnswer: -677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = f - 4, -4*f + 0*f + 1 = u. Let v(d) = f + 1 - 2 + d. Let h(y) = -y. What is h(v(c))?\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 157\/3 + -52. Sort -16, f, 0 in decreasing order.\nAnswer: f, 0, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 6*l = 3*l - 15, -3*o - 7 = -2*l for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 19*j**2 + 222. Let v(i) = 2*i**2 - 14. Calculate v(f(w)).\nAnswer: 2888*w**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3010074.\nAnswer: 2, 3, 199, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 x when two letters picked without replacement from xfs.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -4*g + 15, -4*b + 4*g + 40 - 60 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/2 (b) 5 (c) -1\/3 (d) -6\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 3*c + 45 = -c, -30 = 4*h + 2*c. Let q = 3 + h. List the prime factors of ((-176)\/(-55))\/(q\/(-5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54759.\nAnswer: 3, 18253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -22052184 and -22052183 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2158 + -2160. What is the third smallest value in 2, v, -28?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-90))\/(((-34)\/204)\/((-5)\/20))\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 985341*o**2\/8 - 492675*o\/4 + 9\/8.\nAnswer: 3*(o - 1)*(328447*o - 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23*p**6 + 13*p**4 + 402*p**2?\nAnswer: 2760*p**3 + 312*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 12, 2, -1\/5.\nAnswer: -1\/5, 2\/5, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/4 - 65599375*p**2\/4 - 32799687*p\/2.\nAnswer: -p*(p + 1)*(p + 65599374)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 115276*q*v**2 + q - 68*v**2 - 15125765*v wrt v?\nAnswer: 230552*q - 136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/34812 and -44\/261.\nAnswer: 1009548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 63 + -60. Suppose -s*d + 33 + 27 = 0. What is the smallest common multiple of d and 36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 1 + (-1 - 2). Let l(o) = o**3 + 4*o**2 + 4*o + 2. Let c be l(-2). Let u be r\/(((-12)\/3)\/c). Is u < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/4))**(2\/47)*c**(-6\/13)*c\/((c*c\/c**10)\/c) assuming c is positive.\nAnswer: c**(11643\/1222)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 43, -2\/9, 0.4, 3, -12 in ascending order.\nAnswer: -12, -2\/9, 1\/3, 0.4, 3, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/13 (b) -1.1 (c) 8.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18934, -38262, -57592, -76924, -96258, -115594, -134932?\nAnswer: -154272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 6*o - 160 = -9*o, o = -5*y + 200. Let n = y + -10. Let x = -29 + 40. Calculate the remainder when n is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1102, 5927 in ascending order.\nAnswer: -1102, -4, 5927","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314330 is divided by 104767.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 14, u: 4}. What is prob of picking 2 w and 1 u?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 11*j**2 + 2*j - 8. Let i be b(6). What is i rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1395311, -1\/4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, u: 2, j: 1, r: 1, x: 1, q: 2}. Give prob of picking 1 r, 1 x, and 1 q.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11561 or -11936?\nAnswer: -11936","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 b when four letters picked without replacement from {b: 4, u: 2, z: 3, d: 6, x: 2}?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 848, -917, -44 in ascending order.\nAnswer: -917, -44, -1, 848","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-2) + (-3 - -1). Let b be x\/(-2)*(-2 - -1). Factor 1\/4*q + b*q**2 + 0 + 1\/4*q**3.\nAnswer: q*(q + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20 - -122?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 755078426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1347 + 203*m**2 - 1349 - 87*m**2 + 148*m**2.\nAnswer: 264*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 765 and 22057092?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a**3 + 3*a**2 - 3. Let y be z(3). Suppose 0 = -5*b - 105 - y. Let t = -2 - b. Calculate the greatest common divisor of 5 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2\/13, -3, 0.06, -2\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -151003*b - 1057005. What is n(-7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8138, -8149, -8160, -8171, -8182, -8193?\n\"Answer: -11*y - 8127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h - 3*h - 444*h**3 - 1743*h**3.\nAnswer: -2187*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-14))\/((26 + 11308\/(-440))*(-10)\/3).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2502639?\nAnswer: 3, 278071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u - 32 = 9*u. Solve 5 = 5*z, 0*a + 5*z = a + u for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y + 9. What are the prime factors of a(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/10 + 352\/10. Suppose h = 2*h - 4, 5*h = -3*j + r. What is the remainder when -8 + 34 + -8 - -1 is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*c**4 + 1569*c**3 - 31734*c**2 - 1368120*c - 2596800 = 0. Calculate c.\nAnswer: -541, -20, -2, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -7*s**5\/4 + 279*s**4\/2 + 1195*s**3 - 21790*s**2 + 32208*s + 11008 = 0?\nAnswer: -16, -2\/7, 2, 8, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = -18*p + 113. What is the second derivative of -88*c**p - c - 148 + 43 + 43 + 49 wrt c?\nAnswer: -176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/18 and 38\/1059.\nAnswer: 6354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 + -2)*9\/(-6). Let q = 0 + 1. Suppose y = -0*h - 5*h + 17, -y - q = -h. Let n(j) = 5*j - 4. Let x(o) = 4*o - 3. Calculate l*x(g) + y*n(g).\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-18) - (38 - 21))*6.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38 + -56. Let r be g\/(4\/(12\/3)). Let b(s) = 3*s**2 + 36*s + 17. Is b(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2629916 + 2415?\nAnswer: 2632331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + b2b6303?\nAnswer: b2b6307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 5, -8059?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o + 3*o**2 + 8*o**2 - 5*o**2 to the form l*o**2 + f*o + v and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (414\/45)\/(4\/10). Suppose 0 = -5*u - l + 25, u - f = -u - 3*l. Calculate the lowest common multiple of 4 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 t, and 1 h when three letters picked without replacement from {t: 1, w: 2, u: 5, n: 1, c: 2, h: 4}.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.251 + -0.051. What is the fourth smallest value in -5, -2\/11, n, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 - 24 = -5*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 177\/12 - 4*9\/48. Let t be 1\/2 + 14\/4. Let v be (t\/(-6))\/(1\/(-3)). Solve 4*q - u = v*j, -4*q - q = -20 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express m**3 - 8*m + m + 6*m + 3*m**2 as l + z*m**3 + t*m**2 + a*m and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 17, 35, 57, 83?\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -84132 (base 9) in base 4?\nAnswer: -31203122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, b: 15}. What is prob of picking 3 c and 1 b?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4336, -4352, -4382, -4432, -4508?\n\"Answer: -l**3 - l**2 - 6*l - 4328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 161, 318, 475?\nAnswer: 632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + 34 + (-19 - -1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7345944 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 + 2 - 2)*(-1 + l**3 + 1) + 4*l + l**5 - 4*l + (-18*l**5 + 159*l**2 - 159*l**2)*(6 + 0 - 3).\nAnswer: -52*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81675264.\nAnswer: 2, 3, 11, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 603*o - 9. Let u be a(1). Suppose 2*d = p + u, -p = 4*d + p - 1180. Is d a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00404 rounded to four decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10763, -21549, -32343, -43145, -53955, -64773?\nAnswer: -75599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 58233 and 6909.\nAnswer: 987","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2078, 2318, 2558, 2798, 3038, 3278?\n\"Answer: 240*a + 1838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -488 or 68240?\nAnswer: -488","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2006423\/23151 - -1\/7717. Let a = d - -87. Put 2, 0.5, a, -0.1 in increasing order.\nAnswer: -0.1, a, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 g when four letters picked without replacement from occgcogg?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -i**4 - 3165625*i**3*t - 8404866*t wrt i?\nAnswer: -4*i**3 - 9496875*i**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -256*r**2 + 31 - 52 - 4*r - 5*r**3 + 18.\nAnswer: -5*r**3 - 256*r**2 - 4*r - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11760\/88704 - (6\/8 + 29\/(-44))?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 4*k = t - 3*k + 7 - 13, 0 = 14*k + 56 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 + 4499. Let s = 4673.9 - f. What is s rounded to the nearest 10?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 - -13. Let u = o - -12. Suppose -2*y - 3*s = -10, -4*y + 3*s + u = -1. Solve -2*z - y - 2 = -4*x, -5*z + 4 = -3*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39 - -35. Sort -3, 10, 17, o.\nAnswer: o, -3, 10, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 71 = 3*t, -t + 24 = -i + 99. What is the highest common factor of 22 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 262939053?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 24 = j - 4*w, 0 = 5*j - 5*w - 5 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g + g**2 - 2*g)*((1 - 1 - 1)*(4*g + 0*g - 2*g) + 0*g + 3*g - 2*g - 23*g + 28*g + 64*g) to w*g + h*g**2 + i*g**3 + k and give i.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p*p\/((p*p**(-2\/5))\/p)))\/p)**(1\/10)\/(p**0)**(6\/7) assuming p is positive.\nAnswer: p**(-7\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 145034, 145033, 145032, 145031, 145030?\nAnswer: 145029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*k**4 - 25*k**3 + 0*k**4 - 2 + 6*k**4 + 152*k**2 + k**4 - 156*k**2 in the form x*k**3 + h*k**2 + y + f*k**4 + o*k and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2.97*-2967\nAnswer: 8811.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 4*o**4 + 20*o**3 + 29*o**2 + 14*o + 3. Let v(l) = l. Let j = -191 - -193. Let k(y) = j*v(y) + f(y). Factor k(m).\nAnswer: (m + 1)*(m + 3)*(2*m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6 + 9\/2 + 3)*2. Let p be 0\/((3 - 1)\/(-2)). Solve p = -5*d - 5*n, 2*d - 3*d = 4*n - b for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77574817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g + 0*g - 4*g + g - 2*g - g + (2*g + 3*g - 4*g)*(67 + 99 - 63) + 4*g + g - 4*g to the form n + y*g and give y.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2 + 7*z**2 - 2*z**3 + z**3 + 6*z**2 - 11*z**2. Let q = -44 - -47. Determine k(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**2 - 156*v - 1822. Calculate the smallest common multiple of i(-14) and 12.\nAnswer: 4524","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 9:00 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -547534, -2190005, -4927464, -8759911?\n\"Answer: -547494*l**2 + 11*l - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 95160*r**2 - 57326?\nAnswer: 190320*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 1439573 = 2*t - 17*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 5:05 PM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4103 + 45307 = 438*n + 201*n + 459*n for n.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8744839 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b - 338?\nAnswer: -346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8211414 is divided by 342?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132*f + 135*f = -588. Let y = -171 - f. What is the greatest common factor of 225 and y?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q**2 + 7*q**2 + 0*q**2 - 4*q**2.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14497 - -37669. What are the prime factors of c?\nAnswer: 2, 3, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v + 6*v + 2*n = 7, -11 = v - 5*n for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39 - 34. Let i(q) = -w*q - 22 + 15 + 7. Let z(s) = 7*s. Determine z(i(b)).\nAnswer: -35*b","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(-2 + 2*sqrt(363) - sqrt(363)) - (5 + 2*-2*sqrt(363)))*1 + -1)**2.\nAnswer: -88*sqrt(3) + 379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 233920 a multiple of 320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -u - 20. Let i = u + 45\/2. Let d be (-2)\/3 + 56\/66. Which is the third biggest value? (a) i (b) 6\/7 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*j**2 - 30*j - 25*j + 55*j.\nAnswer: -13*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001236019 to five decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 9:37 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.03 - 0.83. What is the closest to k in 20, -0.1, -1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eighty-one halves of a decade?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3\/88 + 63\/88. What is the third smallest value in 10, -2\/23, z, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -299*f + 6722 - 2027 = -8162 for f.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 89.\nAnswer: 1\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -w**3\/3 + 4*w - 17. Let r be l(-2). Let b(p) = -4*p**2 + 3*p**2 + p + r*p**2 + 19. Calculate b(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**2 - 13*u + 2. Let v(s) = -s**2 - 6*s + 1. Let j(t) = -2*p(t) + 5*v(t). Let r = 3 - 5. Let h be j(r). Solve -f = -l, -3*f - 31 - 9 = h*l for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4*k**2 + 38*k - 185. Calculate h(-13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + 13*v**2 - 2003*v + 13720. Give b(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -10. Is -3*(2805\/(-9))\/z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 + -17. Let k(h) = h**2 - 32*h + 255. Let r be k(15). Let g be (-27)\/36*16\/(-3). Solve -b = -8*l + 4*l - 23, r = g*b + 5*l + s for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 6. Let d(a) = -2*a**3 - 2*a**2 - 2*a - 4. Let g(f) = -f**3 - f**2 - 1. Let q(n) = -d(n) + 5*g(n). Is q(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -47.7 - -48. Which is the closest to s? (a) 1\/6 (b) 4\/3 (c) 2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -511\/835 - -2\/167. What is the third smallest value in z, 3, 11\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4430 - -4542. Solve -112*p + u = -128*p for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1265989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-21) + 48\/(-84).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 19\/4 of a decade?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 969320*c*s - 1046*c + s - 8766 wrt s?\nAnswer: 969320*c + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 4:40 AM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/6024244 and -83\/138.\nAnswer: 415672836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 5*l - 4*l)*(1732 + 1610 - 737)*((0*l - l + 0*l)*(4 - 3 - 3) - 1 + 1 + l + l - 5 + 5 - 3*l + 3*l - 2*l)*(-1 + 1 - 3).\nAnswer: -46890*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66006 and 3439?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13252 - 4?\nAnswer: -13256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 26. Let f(r) = -3*r - 21. Let v be f(y). Let d = 135 + v. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1088 is divided by 123.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -431.71 + 423.70952. Let r = 8 + m. Round r to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 30631606, 61263213, 91894820, 122526427, 153158034, 183789641?\n\"Answer: 30631607*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4*k**3 - k - 3. Let l(s) = -3*s**3 + s + 2. Suppose 2*b + 5 = 9. Determine b*h(t) + 3*l(t).\nAnswer: -t**3 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - v = p - 18, p = -5*v + 32. Suppose 8 + v = 5*u. Solve -u*y = y + n - 3, n = 3*y - 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1458331617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1444, -3, 97, 19, 2.\nAnswer: -1444, -3, 2, 19, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 68498*a + 8. Let i be s(4). What is i rounded to the nearest 10000?\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-118)\/24 + 5626\/582.\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from sesssettstt?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3114 divided by 1?\nAnswer: -3114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/11052 and 139\/25788.\nAnswer: 77364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001111101111001 + 1010?\nAnswer: 10001111110000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -22 - (163 + -140)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -4*g - 119 + 34 + 29 + 28 + 32. Determine n(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-8))\/(2\/4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jfjfjjjjjjj. Give prob of sequence fj.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 1:53 PM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**2 + 2880482*t - 11521896 = 0. Calculate t.\nAnswer: 4, 1440237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-2)\/(-2))\/((-56)\/(-392)*497)?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 3 (c) 0.05 (d) 20595 (e) -1\/4 (f) -0.2 (g) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76 divided by 256381.\nAnswer: 76\/256381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*j + 5*j + 0*j)*(-4 - 1 - 1)*(j**3 + j - j) to the form o*j**2 + r*j + d*j**4 + p*j**3 + y and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 167, 337, 621, 1019?\n\"Answer: 57*g**2 - g + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 51\/17 - (1 - (2 + -4)). Is o at least as big as -131\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2*d + 11, 3*f + 0*f - 21 = -2*d. Suppose -o - 7 = d. List the prime factors of (2\/1)\/(o\/(-45)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1700)\/85*-1*(-2)\/(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -30*j. Let f(k) be the first derivative of -165*k**2\/2 - 1152. Give f(c(i)).\nAnswer: 4950*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.21313 to three dps.\nAnswer: -0.213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 68896592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, f: 3, e: 13}. What is prob of sequence ffee?\nAnswer: 13\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/7 + 1549*a\/7 - 4638\/7.\nAnswer: -(a - 1546)*(a - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from nnnwnwnnnwn.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 612360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lflx when four letters picked without replacement from xllflfflffl?\nAnswer: 5\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/7)*c**5)**(-33) assuming c is positive.\nAnswer: c**(-1122\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - 28*x - 14. Let d = -3289 - -3266. Calculate m(d).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/18 and 41\/4696?\nAnswer: 42264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + z)*(-4 + 0 + 3) - 1044 + 1586 - z + 3*z.\nAnswer: z + 542","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3605?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l - 269785 + 269785.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 91793064?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -166637 divided by -291.\nAnswer: 166637\/291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 80 + -131363?\nAnswer: -131273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of -427*m**5\/60 + 181*m**3\/3 + 4*m**2 + 103. What is the derivative of p(f) wrt f?\nAnswer: -854*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 8*g**3 + 12*g**2 + 17*g + 8. What is the least common multiple of f(4) and 780?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.35 plus 27102.427?\nAnswer: 27102.777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 66?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/5 of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/3 and -17\/1318?\nAnswer: 3954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 4*k = 12, 4*g - 2*k = -0*k + 12. Let c = g + -1. Solve 5*i + 0*j + 1 = 2*j, i - c*j - 3 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9.2 - -60.2. Let s = n - 50.99999914. What is s rounded to 7 decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5765, -47308, -160095, -379742, -741865, -1282080, -2036003, -3039250?\nAnswer: -4327437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, 2, 3, -1.\nAnswer: -48, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 8, 62, 1231 in increasing order.\nAnswer: -3, 8, 62, 1231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -207*m + 8. Is n(-13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -208*j**3*p**3 - 710*j**3*p**2 - 8679*j*p**3 - j + 8*p**2 wrt j?\nAnswer: -1248*j*p**3 - 4260*j*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (155\/(-217))\/((-6)\/7140). Solve 0 = -5*k - 840 + w for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15 - 36 - 6 - 55)*(-1 + 1 + 2*j**2) to q*j**2 + z*j + v and give q.\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of -3\/10*i**5 - 7\/60*i**6 + 170*i**2 + 4\/3*i**3 + 0*i + 0 + i**4. Factor m(f).\nAnswer: -2*(f - 1)*(f + 2)*(7*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3873077.\nAnswer: 13, 229, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 255190932037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.59, -0.3, -0.03?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhqhqhqqqqq. What is prob of sequence hq?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1558110 to the nearest ten thousand.\nAnswer: -1560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 7 - 2 + 4*y - 3*y - y**3 + 3*y**2. Determine q(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -262 - -262. Which is the nearest to 5\/2? (a) 4\/3 (b) n (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ntn when three letters picked without replacement from thaahtotynyanta?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of -24 - 5\/2*i**3 + 15*i - 69\/4*i**2. Solve z(w) = 0.\nAnswer: -5, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, x: 6, d: 4}. Give prob of picking 1 c, 1 d, and 1 x.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) - -4*sqrt(72) - (sqrt(18) - (-1*sqrt(18) + -4 + sqrt(18)))) + (-3*sqrt(18)*2 + 5)*6)**2.\nAnswer: -4212*sqrt(2) + 13798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3223 - 1697 = -410*f. Solve 221*y - 217*y = -f for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w + 4*t = 3*w + 5, 0 = w - t for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 403*i + 4. Let r(k) = -814*k - 8. Determine 10*d(t) + 6*r(t).\nAnswer: -854*t - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -5, -36, 1, -12, -201 in decreasing order.\nAnswer: 3, 1, -1, -5, -12, -36, -201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.078 and 0.37?\nAnswer: 0.02886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -180 divided by 36?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m - 2. Let z be (6\/(-5))\/((-9)\/30). Let c be y(z). Let s = 10 - c. Solve s = -3*f - 0*f - 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2344 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1622 divided by 214342\nAnswer: -811\/107171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**2 - 475*x - 2670.\nAnswer: -5*(x + 6)*(x + 89)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 534515164 + 5?\nAnswer: 534515202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1c0b (base 15) to base 12\nAnswer: -3632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 6*l - 4. Let j be h(7). Let m be 2 + -2 + 0 + 2. Let a(w) = -57*w - 2*w**m + 0*w**2 + 54*w. Let x(z) = z. Calculate j*x(y) + a(y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of u**7\/42 - u**5\/10 + u**3\/6 + 7*u. Factor y(d).\nAnswer: d*(d - 1)**2*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 - 17. Let q = j + -24. Let n = -20.1 - q. Which is the closest to -2? (a) -5 (b) 0.5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5786 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*o - 5*p - 60, -4*p = 5*o - 135. Suppose o = -f + 25. Suppose 6*u - 34 - f = 0. What is the lowest common multiple of 4 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/5776 and 101\/5776?\nAnswer: 5776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l = -3*x - 4*l - 12, -4*x - 4*l = 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -27, 3, -12, -0.1, 1.11 in increasing order.\nAnswer: -27, -12, -0.1, 1.11, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 3471 = 579. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4956?\nAnswer: 2, 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13466, 13467, 13468, 13469?\nAnswer: 13470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**9*m))\/(m\/(m**(2\/15)*m))*(m\/(m*m**(-2)\/m))**(25\/2) assuming m is positive.\nAnswer: m**(829\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7663*r - 147336 - 43290 - 192431 = 46071 for r.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 16 = 4*y - 2*v, 5*y = -5*v + 10. Let c(s) = -s - 2. Let g(f) = -2 + 2*f + 1 + 4. Give y*g(d) - 4*c(d).\nAnswer: -2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1229, 3104, 5619, 8774, 12569, 17004?\nAnswer: 22079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 u when four letters picked without replacement from {a: 4, u: 3, l: 5}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -53 - -20. What is a rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6059273 is divided by 3437?\nAnswer: 3279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 7*d + 5. Let h(l) = l - 1. Let m(g) = -5*g + 4. Let k(w) = 9*h(w) + 2*m(w). Suppose 149*b = 150*b + 3*a - 10, -4*b - 3*a = -4. Give b*f(t) - 10*k(t).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 494578*n**4 - 1091915*n.\nAnswer: 5934936*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**3\/5 + 102*m**2\/5 - 246*m - 1334\/5 = 0. Calculate m.\nAnswer: -1, 23, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -y**7\/3360 + y**6\/480 - 2*y**3\/3 - 7*y - 49. Let i(n) be the third derivative of m(n). Factor i(g).\nAnswer: -g**2*(g - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1765224 is divided by 11768?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/2)\/(27\/9).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 5*y**2 - 6*y - 4. Let j(u) = 9*u**2 - 11*u - 7. Let d(f) = 7*a(f) - 4*j(f). Factor d(g).\nAnswer: -g*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1097039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + -20 + (1 - 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 11:00 AM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g - 2. Let w = 13 - 9. Let q(a) be the third derivative of -a**4\/8 + a**3\/3 - 5*a**2. What is w*l(d) + 3*q(d)?\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1939 and -62?\nAnswer: -120218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/14 + 32\/14. Let b(o) be the second derivative of -1\/8*o**z + 1\/24*o**3 - 1\/40*o**5 + 1\/168*o**7 - 1\/120*o**6 + 1\/24*o**4 - o + 0. Factor b(f).\nAnswer: (f - 1)**3*(f + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1236 and 78636.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 4*o + 4. Let y(c) = -5*c - 5. Suppose -3 = -2*a - 7. What is a*y(w) - 3*z(w)?\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c**3 - 7500*c**2 + 30060*c - 30080 = 0.\nAnswer: -1504, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -582.4 + 582. Let h be -1*1 + (-13)\/(-9). What is the nearest to -0.2 in l, -2\/9, h?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p + p - 1 - p. Let d be l(-5). Suppose 4*y = 8*y + 2*z - 56, z - d = 0. 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: b\"What is the mth term of 1597, 3200, 4803, 6406?\n\"Answer: 1603*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -7*s. Let z(j) = -8*j. What is 8*f(v) - 6*z(v)?\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 713.6231 kilometers in nanometers?\nAnswer: 713623100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 1 = -6. What is the lowest common multiple of m and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7 (b) 713 (c) 1\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -394*h - 2647 = 2081 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 203\/50 and -7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a gram in milligrams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4645018*o**3 + 3185461 wrt o.\nAnswer: 13935054*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*t + 59 = -116. Solve -4*a = -2*j + 8, -3*a = -t*j - 2*a - 7 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/2 of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 22 + -10 - (-1 - -8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + l**2 - l - 1. Let w be u(-1). Suppose n = -4*x - 12, -2*x + 4*x + w*n = -12. Let v be -10*(5\/x + 2). Solve 2*s - s = v for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 4*t + 152 = 4*y, 4*t + 23 = y. Calculate the remainder when 171 is divided by y.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -1. Let m be 6 - -7 - 4\/(16\/20). Calculate the highest common divisor of g and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j. Let d(t) = 156*t. Calculate d(n(h)).\nAnswer: -156*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -34975 divided by 25\nAnswer: -1399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -7281 divided by -3\nAnswer: 2427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2. Let f(a) = -7*a**2. Let d(c) = -f(c) + 6*h(c). Let y(v) = -16*v**2 - v + 9*v**2 + v. Calculate y(d(l)).\nAnswer: -7*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1711802 is divided by 33.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 140 = -5*i, 2*z - 6*z + 3*i = -147. Let s = z - 20. Solve 2*r + s = 4*t + 37, 5*r = -t + 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 12:28 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/80 - (-1225)\/200. What is the fifth smallest value in 168, 3, u, -3, 1\/5?\nAnswer: 168","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + ((sqrt(190)*2)\/sqrt(10) - (sqrt(19) + 3*sqrt(19))*-3) + -3)*-2*2)**2.\nAnswer: 59584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 632 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 6*b**2 + 8*b + 12. Let u be w(-5). Let d = 6 - 6. Let g be 2\/(-6) - (-22)\/(-6). Sort d, -5, g, u in descending order.\nAnswer: d, u, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -27843\/2 in 2\/17, -2\/15, -443?\nAnswer: -443","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (5 - ((-703)\/333)\/(6\/9)) + 20\/15\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + ((-9)\/(-18) - (-51)\/18) + -3. Which is the closest to h? (a) 1 (b) -0.2 (c) 2\/7 (d) -0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10995763993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 5. Suppose -c - 2*c - 21 = -3*r, 5*c = -r - 23. Let f(g) = g**3 - g**2. What is the remainder when f(r) is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - 6 - 20 - (29 - (-2 + 1))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19927758*p**6 + 41133103*p**2?\nAnswer: -2391330960*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26935656*k**3 - 32307107 wrt k.\nAnswer: 80806968*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -4*b + 14. Let p be c(-16). Let o = 2 - 0. Suppose 5*l + o*t = 114, -5*l + 30 = 4*t - p. Is 12 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -883\/3 + 279. Let c = -8 - -12. Calculate the common denominator of c\/(-6) + 206\/(-6) and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92620191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.517368 to three dps.\nAnswer: -11.517","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1798)\/(-186)*(77 + -68).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -24*b**5 - 81*b**4 + 45*b**3 + 195*b**2 - 81*b - 54 = 0. Calculate b.\nAnswer: -3, -2, -3\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-5)\/90)\/((-2)\/(-4)). Suppose -j - 4 = 3*j. What is the closest to -0.1 in z, 1, j?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1843750*(4 + 740\/(-25)). What is z rounded to the nearest 1000000?\nAnswer: 47000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17851*p - 244540*p - 18785*p - 36602*p - 16695*p.\nAnswer: -298771*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3635, -28976, -97755, -231692, -452507, -781920, -1241651, -1853420?\nAnswer: -2638947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(110\/24)*(-90)\/(-36)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m, 3252800 = 59*t - 55*t + 2*m. What is t rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6695 is divided by 1479?\nAnswer: 779","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 182*n**2 + 1766*n + 467. Give l(-9).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 10) to base 3\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17020 by 5.\nAnswer: 3404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from {n: 4, l: 16}.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 12 = -h. Let z(x) = -3*x**3 - 11*x - 11. Let t = 1242 - 1220. Let l(b) = b**3 + 3*b + 3. What is h*z(n) + t*l(n)?\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 128721*q**4 + 4*q**3 - 315420*q wrt q?\nAnswer: 1544652*q**2 + 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((s*s**(1\/7)*s)\/s*s)\/s*s)**15\/(s*s**(-10)*s*s\/(s*s\/((s**(1\/10)*s)\/s)*s)))**49)**(2\/27) assuming s is positive.\nAnswer: s**(763\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 8463?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32578 - 32574. Sort -0.14, 0.5, t, -0.5, 3 in descending order.\nAnswer: t, 3, 0.5, -0.14, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (5 - -1) - -13 - (541 - 599)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 24.14226ms?\nAnswer: 24142.26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 33 + 27. Solve -4*n + 14*n = i for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -54.8, -207, 1\/3, 1\/5?\nAnswer: -207","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 291455 and 0.3.\nAnswer: 87436.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -24424.3 - -603891\nAnswer: 579466.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w - 9. Suppose -d = 4 + 7. Let b be l(d). Let p(g) = g**2 + 2*g + g**3 - 2*g**b + 5*g**2 + 5. Give p(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 0)*3\/(-240)*-5.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 - -85. Suppose 5*q - 36 = -3*v, -3*v - 5*q = 2*v - l. Solve 5*g + v = -3 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 - -57. Suppose f = -u - 4*u. Let h = u - -15. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36153.69 litres to millilitres.\nAnswer: 36153690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = t + 6. Let j be t\/10 - (-1)\/2. Let h be (4\/(-10))\/(6\/5). Do h and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + t = -15. Let f(c) be the third derivative of -c**6\/120 + c**5\/15 + 5*c**4\/24 - c**3\/3 - 2*c**2. Let j be f(5). Sort 4, j, t in decreasing order.\nAnswer: 4, j, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1072)\/(-64) - 15)\/(51\/612)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of -m**4\/4 + 4*m**3\/3 + 3*m**2 - 7*m + 132. Calculate o(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - q = 10. Suppose 7*o - 4 + 18 = 0. Let x be o\/13 + (-82)\/(-533). Which is the third smallest value? (a) q (b) 7 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -21*k**3 + 26*k**2 + 14*k + 26. Give q(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 981980?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/119, -0.7, 0.04, 1\/3, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 8) to base 9.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 186 and 5900912.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*n**2 + 12 - 12*n - 1342*n**3 + 1351*n**3 - 21*n**2.\nAnswer: 3*(n - 2)*(n + 1)*(3*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -0.18 (b) -4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17368235?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1230 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*n = -4, 3*c - n + 0 - 9 = 0. What is the highest common divisor of 44 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/47025342 and 45\/1729.\nAnswer: 47025342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**2 - 6 + 14 - 9 - 2*b**3 + (-2 + 0 + 1)*(b**3 - b**3 + b**3).\nAnswer: -3*b**3 + b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -177 in 1, -1.4, 1\/5?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h - 59. Let f be q(-36). Let g(o) = o**3 + 24*o**2 + 20*o - 70. Let w be g(f). Are w and -20\/9 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.28 - 0.3. Let w = z + -2.98. Suppose -4*p + 12 = -0*b - 2*b, 0 = 3*p + 3*b. Put -1, p, w in ascending order.\nAnswer: w, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 (base 12) to base 11\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0.2 (b) 1 (c) 0.04 (d) 365\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 74272 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8\/111, -0.018, -2, -1\/8, 0.2, 1, 1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k - 2. Suppose 0*w + 2*n = -4*w, 4*w - n = 0. Suppose w + 6 = 3*d. Suppose v = -1 - d. Determine m(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.89 less than 0.4?\nAnswer: -0.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*s = -52 - 66 - 14 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 2. Let d = 0.315 - -0.185. Let p = 28\/183 + -6\/305. What is the nearest to w in d, p, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 - 11135464*i + 30999639623824.\nAnswer: (i - 5567732)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/((15\/(-18))\/(40\/(-36)))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107940471.\nAnswer: 3, 35980157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*z - 3*z - 628 + 173. Which is the second smallest value? (a) 228 (b) z (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -698911*f**3*z**2 - 23*f**3*z - 9*f**2*z - 4*z**2 + 667*z wrt z?\nAnswer: -1397822*f**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 203291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**4\/13 - 2068*f**3 + 120503016*f**2\/13 - 180312231708*f\/13 + 898551942390\/13 = 0. What is f?\nAnswer: 5, 4479","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -126140 divided by -901.\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -6*q. Let y(j) be the first derivative of j**5\/120 - j**3 + 1. Let k(g) be the third derivative of y(g). Give k(n(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 7:40 AM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13611, -13525, -13383, -13185, -12931, -12621, -12255?\nAnswer: -11833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tfbttnbtbebbbtftbnt. What is prob of sequence ebf?\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4068494 divided by -83\nAnswer: 49018","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Divide 158 by -1.\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7840 and 86062032?\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of 7*x**3\/6 - 2*x. Suppose -2*n = 5*y + 1, -y = n - 0*n + 2. Let d = 2 + n. What is t(d)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 8 - s + (-8 + 8 + 19)*(s + 8*s - 2*s))*(s**4 + 0*s**4 + s**4).\nAnswer: 264*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7 + 4)\/6*2. What is the hundreds digit of 9 + -7 + b + 229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*k**3 - 18*k**2\/7.\nAnswer: 2*k**2*(56*k - 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -4*t**3 - t**2 + 8*t. Let c(g) = -5*g**3 - 2*g**2 + 9*g. Let r(q) = 5*c(q) - 6*l(q). Suppose r(i) = 0. What is i?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69234*q**2 + 138486*q**2 - 69249*q**2 + 8*q**3.\nAnswer: 8*q**3 + 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-5))\/(6\/(-15)). Suppose 3*m - m - 598 = -2*a, -n*m = a - 297. What is a rounded to the nearest 10?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**2\/2 + 736*b - 270848 = 0. Calculate b.\nAnswer: 736","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5484474 to the power of 1\/3, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z + 19. Let c be g(0). What is the greatest common divisor of 152 and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 15*p**3 - 81 + 0*p**2 + 5*p**4 + 1\/2*p**5 - 135\/2*p = 0?\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 - -194. Let p = x + -198.7. Let y = p - 19.30081. Round y to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d - 1. Let m(t) = -2*t**2 - 2*t + 2. Let l(p) = m(p) + 2*u(p). Let x(o) be the third derivative of o**4\/4 + 7*o**3\/6 + 1143*o**2. Determine x(l(i)).\nAnswer: -12*i**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90 is divided by 52?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 6*y**2. Let w be (3 + 6\/(-2) + 2)\/(-2). What is m(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25434 is divided by 1062.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 2 + 11 + (-23 - (-50 - -42)) + -55\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x - 1. Let r(c) = -6*c + 3. Calculate r(p) + 4*v(p).\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -12. Let s = d - -17. Let w = 8.9 - s. Which is the third smallest value? (a) 1\/4 (b) w (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h - 5. Let p(i) = 3*i - 2 - 4*i + 4 + 0*i. What is 4*f(u) + 9*p(u)?\nAnswer: -u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -21 + -43257b?\nAnswer: -4325a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j - 8*j + 64*j**2 + 13*j - 11*j.\nAnswer: 64*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*b**3 + 7*b**2 + 2985*b + 98077 wrt b?\nAnswer: 6*b**2 + 14*b + 2985","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 515 is divided by 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 5*l - 21 = 0, -1518*k + 27 = -1513*k - 4*l for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**19*w*w\/((w\/w**(-19))\/w) assuming w is positive.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -37, 0, 5, 68, -113.\nAnswer: -113, -37, -4, 0, 3, 5, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 17*w**2 + 40*w - 462. Calculate p(20).\nAnswer: 1538","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-12)\/48 + (-21)\/12.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*n - 1232 = -57*n + 32*n for n.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -170 (b) 1275514 (c) -1\/9 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9*368\/(-414))\/((-7)\/((-14)\/(-36))).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-39) + (-6 - (-1561)\/91). Solve -8*l + y*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of -r**5\/30 + 13*r**2. Let k(l) = 6*l. Let g(a) = -a. Let t be 2\/6 + (-26)\/6. Let m(n) = t*g(n) - k(n). Give w(m(c)).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 2 + -15 - (-2 - (0 - 2)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 8*r**2 - 2. Let g be (2 + 2)\/(2\/4). Let o be i(g). Let p be 7\/9 - o\/9. Solve f - p = -l, 7*l - 4*l + 21 = 3*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4f2 (base 16) to base 12\nAnswer: -896","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.6063 and 3.\nAnswer: 7.8189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/((-20)\/(-5))*12\/4\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37 - 313. Let j be -4 + m\/(-30) - 5. Which is the fourth smallest value? (a) j (b) -1 (c) -3\/2 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 5:28 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = l + 11, -14 = -2*l + 3*l - 4*p for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.3 and 0.00998?\nAnswer: -0.012974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 156342 to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 101508 by 4.\nAnswer: 25377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k + 14. Let q be u(6). Let c(h) = 6 - 21 + h**2 + 4*h**q - 4*h**2. Is c(-12) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of -73*a**5\/10 - 521*a**4\/4 + 550*a**2 + 2. Find the second derivative of u(x) wrt x.\nAnswer: -876","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -9178089.\nAnswer: -3671235.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 9. Calculate the least common multiple of 12 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -64.2 and -5.\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-85.752\nAnswer: -25.7256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**6 + l**5 + l**4 - l**2. Let w(d) = 40*d**6 - d**5 - 3*d**4 + 6*d**2 - 23. Let g(q) = u(q) + w(q). Find the third derivative of g(f) wrt f.\nAnswer: 4920*f**3 - 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 120921614 and 526.\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/18 and 107\/442.\nAnswer: 3978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1180 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 4)\/(-1) - (3 - -470). Is r\/(-15)*(-4)\/((-16)\/42) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-7\/5)\/(w\/w**(-1\/54)) assuming w is positive.\nAnswer: w**(-653\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -949*d**2 + 7*d. Let f(n) = 316*n**2 - 2*n. What is -7*f(c) - 2*w(c)?\nAnswer: -314*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/3))**(-45))**(-2\/33) assuming q is positive.\nAnswer: q**(10\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 198918, 198917, 198916, 198915?\n\"Answer: -i + 198919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 95. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 46 = -2*f, 2*f - 60 = -4*a + 4*f. Calculate the smallest common multiple of a and 9.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-180)\/7590*55\/(-15)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -773 + 779.28. What is v rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7 (b) -4\/3 (c) 2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of l**8\/112 + 3*l**4\/8 - 17*l**2. What is the second derivative of v(h) wrt h?\nAnswer: 60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gc when two letters picked without replacement from cggccnrjc.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1227 + 240*m**2 + 1227 + 145*m**2.\nAnswer: 385*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 139 and 5.\nAnswer: 695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3249, -6523, -9797, -13071, -16345, -19619?\nAnswer: -22893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 57558 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -26741 times -2\nAnswer: 53482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 307787191?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -49 * -0.01\nAnswer: 0.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.064733 rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 1\/2 (c) 4\/649 (d) 0 (e) 4\/5 (f) -1\/6 (g) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2932, -3017, -3060, -3055, -2996, -2877, -2692?\n\"Answer: b**3 + 15*b**2 - 137*b - 2811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -19, 26.\nAnswer: -31, -19, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a year in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2668 + -2076. What is the remainder when w is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9341*w + 281*w**2 + 9341*w)*(2*w + 4*w - 5*w)*(-1 - w + 1).\nAnswer: -281*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3008203 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204 = -26*j + 14*j. What is the highest common factor of 272 and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + 1 - (-364 + 395)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 - 4 + 18*g**3 + 2 - 2*g to y + u*g**2 + x*g + h*g**3 and give h.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 61645 - 15271. What are the prime factors of g?\nAnswer: 2, 3, 59, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -42466 + 71245. List the prime factors of i.\nAnswer: 3, 53, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 4:53 AM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -5*m**2. Let w(p) be the second derivative of p**3 + 16*p - 3. What is w(k(n))?\nAnswer: -30*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/23)*(z\/z**(-5\/6))\/z*z)\/((z*z**(-10))\/(z**(-2\/11)*z)) assuming z is positive.\nAnswer: z**(17555\/1518)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 1\/3 (c) -0.5 (d) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30612442*c*s**4 - c - 326520*s**2 wrt s?\nAnswer: 734698608*c*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -6 + ((-14784)\/272)\/(-14).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.141128968 to two decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (-4 - 0)\/(-4). Round i to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*w - 8*w + 16*w - 5*w - 7*w.\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three tenths of a decade?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12d93c6 (base 14) to base 4.\nAnswer: -202311001002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.038 + 0.091934\nAnswer: 0.053934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + 71*q + 726. Calculate d(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6087238, -12174470, -18261702, -24348934, -30436166?\n\"Answer: -6087232*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4 + 3.4. Let f(b) = -2*b - 16. Let t be f(-8). Let z be t*((-12)\/(-3))\/(-4). What is the nearest to z in q, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11398745 is divided by 79.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 47100 and -1.439.\nAnswer: 47098.561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -9*s + 4. Calculate f(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1179 - 36557\/31. Sort j, -3\/7, 3.\nAnswer: -3\/7, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 83578 + -a2?\nAnswer: 83496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 1161 divide 32913365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.02 (b) 4\/7 (c) -942 (d) 1 (e) -19 (f) 20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 6 - 17 + 7*p**2 + 4 - 12*p**3 + 4*p + 6. Is m(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20892 - 21642?\nAnswer: -750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 595\nAnswer: 592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3328772*o - 2*d = 3328771*o + 66, -3*d = o + 89 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -4*l + 1\/2*l**2 - 1\/3*l**3 + 3. Let g(a) = 1. Give 6*g(t) + u(t).\nAnswer: -t**2 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -5, -1172, -29, 4, 6 in increasing order.\nAnswer: -1172, -29, -5, -2, 1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -21*k**2. Let d(m) = 6*m + 3. Determine t(d(z)).\nAnswer: -756*z**2 - 756*z - 189","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 954, 1\/10, 1, 8, -0.4 in descending order.\nAnswer: 954, 8, 1, 1\/10, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 16*i**2 + 2*i + 17. Let b be l(-16). Let o = 0.1 - 4.1. What is the second smallest value in b, 0.5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 36065546300300 and 0.3.\nAnswer: 36065546300300.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + -1)*-3 - 1. Is (2 + v + -12)\/(-1) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 25e7e - 2?\nAnswer: 25e7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/7, 2\/95, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38459*t + 38422*t - 740 = 0 for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -320, -321, -322, -323, -324, -325?\n\"Answer: -g - 319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 718423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37\/(-518)*16\/(-8)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 - 2)*(12*i**3 - 721 + 721) to the form t*i + l*i**3 + n*i**2 + b and give l.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258108247 is divided by 6452706.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 19324?\nAnswer: 3\/9662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -79 + 54. Let x = b + 49. Calculate the greatest common divisor of 96 and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -53, -76, -135, -248, -433?\n\"Answer: -3*u**3 - 2*u - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -24 (b) 1457 (c) -0.3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3968*r + 8002*r - 41 - 4032*r.\nAnswer: 2*r - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 6) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 10*z = 5*c - 22, -2*z = -c. Factor -2*n**3 - 40\/11*n**z - 14\/11*n + 4\/11.\nAnswer: -2*(n + 1)**2*(11*n - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000049646 to 6 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16c8 (base 13) to base 8.\nAnswer: -6457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2))**(-10\/17)*r*r**8*r*r**(6\/11) assuming r is positive.\nAnswer: r**(2192\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160 is divided by (1 + (-3 - -1)\/(-2))*9.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 41*(1 + 0 + 3). Suppose 53*d = 54*d - 3*k + 96, -3*k + 552 = -5*d. Let f = d + m. Is 25 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of 3*x**5\/40 - 13*x**4\/24 - 8*x**3\/3 + 3*x**2 + 220*x. Factor w(u).\nAnswer: (u - 6)*(u + 2)*(3*u - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1002746800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 6:19 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000077189612 rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 5*i**3 + i - 1. Let g(p) be the second derivative of p**4\/12 - 7*p**3\/6 + p**2\/2 - 2*p. Let d be g(7). What is j(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + ((7 - -16) + 15 - -6).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w - 3*t = -66, 2*w + 2*w = 7*t - 35009 + 35089 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 989037851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -333.4 + -422582382.\nAnswer: -422582715.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 48961*z + 489596. Determine a(-10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19455, 38644, 57833, 77022, 96211, 115400?\nAnswer: 134589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20347? (a) -1 (b) 0 (c) -510\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50953557.\nAnswer: 3, 16984519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(231)\/(sqrt(11) - sqrt(99)*5))\/(sqrt(12)\/(-2*sqrt(144) - sqrt(144))).\nAnswer: 9*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**5 - 5*x**5 + 4*x**5 + (-x**2 + x**2 - x**2)*(2*x**3 + x**3 - 2*x**3).\nAnswer: -4*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -5, u - 2 + 0 = -x. Suppose 2*s + 4 = 0, u*i - 2*s - 9 = -5*s. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 + 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 3 = 0, -5*s + 2 = -401*g + 403*g + 17 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*y - 4 + 4 + (-2*y + 3*y - 2*y)*(-2 - 2 + 3) + 0 + 0 - 2*y)*(1 + 0 - 2).\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8 - ((-10 - -10) + -9292).\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02112 + 18269506793\nAnswer: 18269506792.97888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -a**4\/4 + 73*a**3\/4 + 469*a**2\/4 + 395*a\/4 = 0?\nAnswer: -5, -1, 0, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(32)\/sqrt(4))\/sqrt(4) + (sqrt(98) - (sqrt(98)*-1)**2) - (4 + (2*sqrt(242))**2 + (sqrt(242)*1)**2*-6)) + -4.\nAnswer: 8*sqrt(2) + 378","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-8)\/9)\/((-1)\/(-3)))\/((-1486)\/8916)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 + 12*j - 19. Let h be v(6). Solve x + r + 0 = 3, -5*r + h = 4*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**4 + 3*m**4 - 3*m**4)*(1 + 3 - 2)*((-2*m + 2 - 2)*(-2 + 4 - 1) - m + 3*m + 0*m - 4*m + 4*m - m + (m - 3*m + 0*m)*(-1 + 4 - 4)).\nAnswer: 4*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*r**3 + 12*r**3 + 11*r - 3*r in the form w*r**3 + p*r + f*r**2 + q and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 800\/91 smaller than 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 78.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000 (base 2) to base 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-20)\/25*200\/(-880). Which is the third biggest value? (a) -0.5 (b) -2\/11 (c) -2\/7 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 - 30858.11.\nAnswer: -30890.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s = -9 + 81 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -101*d**2\/2 + 102*d - 122. What is the first derivative of y(r) wrt r?\nAnswer: -101","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 9*n**2 + 1. Determine w(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -7*n - 142. Let z(f) = -f**2 + 23*f + 57. Let q be z(26). Determine g(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3*(14 - (-25628)\/12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 281, 283, 285, 287, 289, 291?\n\"Answer: 2*j + 279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 5*k**2 - 4*k + 22. Does 14 divide v(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -4944366*o**2. Let m(z) = 3*z. Give d(m(b)).\nAnswer: -44499294*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1210 and 18449596.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 27\/5 of a decade?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -495 + 495. Let m be b - 3*2\/(-12)*-2. Which is smaller: m or 2\/115?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -47 + 52. Suppose -4*f - 58 = -2*o, f - 101 = -0*o - a*o. Calculate the lowest common multiple of o and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3668010865 to 3 dps.\nAnswer: -0.367","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/15, 0, 5, 23, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2059 times 7248?\nAnswer: -14923632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - -7 - -23 - (0 - 5 - 0).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + -29)*-2 - (-4 + 6). What is the greatest common divisor of p and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - v + 1)*(43 + 40 - 84).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 23\/1 + 13 + -4. Solve -40*o = -r*o - 16 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.55414 rounded to one dp?\nAnswer: 92.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010022202002 (base 3) to base 2.\nAnswer: 10010001101110000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2486, 2488, 2492, 2498?\n\"Answer: i**2 - i + 2486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)\/(sqrt(10)\/sqrt(2)) - (sqrt(209)*1)\/sqrt(11))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5740104671 rounded to four decimal places?\nAnswer: -0.574","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.02, 0.2, 372688, 4, 0.5?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -1 + 1 + 2 - u. Let d be t(0). Suppose d + 0 = z. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 468721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 2:07 PM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 6*sqrt(1539)*-1)**2.\nAnswer: 216*sqrt(19) + 55408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21726 + 21730. Let x = 0.9 + -1.04. What is the biggest value in -0.3, 1\/5, o, x?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1757 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + x + 2. Let g(f) = -f**4 - 207*f**2 + 284*f - 4. Let i(a) = -g(a) - 2*k(a). Find the second derivative of i(b) wrt b.\nAnswer: 12*b**2 + 410","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -60 + 44. Let u be (2\/14)\/(o\/(-96)). Factor -4\/7 - 2\/7*m**2 - u*m.\nAnswer: -2*(m + 1)*(m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -224592, -449134, -673678, -898224?\n\"Answer: -g**2 - 224539*g - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2032210952.\nAnswer: 2, 31, 8194399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of k**5\/5 + 1507*k**4\/2 - 4*k**3\/3 - 43*k**2 + 2*k - 3677. What is the third derivative of j(w) wrt w?\nAnswer: 24*w + 18084","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**3 - 1. Let g be ((-2)\/3)\/((-6)\/9). Let y be r(g). Which is the third smallest value? (a) -0.4 (b) -0.04 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-18)\/4)\/9)\/((250\/(-8))\/5).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2208 and 991776.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.0098743 rounded to three dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 3. Suppose 5*d**5 + 5*d**5 - 12*d**u = 0. What is d?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1026354 or 1026355?\nAnswer: 1026355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -622 + -151884106.\nAnswer: -151884728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence otta when four letters picked without replacement from tttjoetattotttajyt.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 10 = -h, 36 = 21*h - 16*h - 3*n. Suppose 0 = -h*v + v + 2825. What are the prime factors of v?\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-162)\/(-15) - -1*(-1)\/(-5). Let b(u) = 14 + 3*u**2 - 6 + 5*u**2 - w*u**3. Let a(p) = 4*p**3 - 3*p**2 - 3. Determine -8*a(o) - 3*b(o).\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of -v**7\/560 + 21*v**6\/160 - 9*v**5\/4 + 299*v**4\/32 - 279*v**3\/16 + 20*v**2 + 12*v. Find m such that h(m) = 0.\nAnswer: 1, 9, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -21*v + v**3 - 11*v - 15*v + 54*v - 7*v**2 + 4. What is z(5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16338 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -30a6 + 2a?\nAnswer: -3077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**3 + 8*v**2 - v + 5. Let p be f(8). Suppose 2*s - 2*j + j - 616 = 0, -5*s + p = j. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9864 and 75898?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**4 + 0*z**4 + 0*z**4 + (-2 + z + 2)*(0 - 5 + 1)*(-9*z**3 + 2*z**3 + 0*z**3) to the form v*z**4 + k*z**2 + c*z + p*z**3 + h and give v.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, z: 1, s: 3, y: 2}. Give prob of picking 2 y and 1 z.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - (-8 + 2)) + 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 851336269 to the nearest integer?\nAnswer: 29178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 24*n**2 + n + 8. What is p(4)?\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 0. Suppose 2*d - d = v. Let n be 2\/(-4)*d\/2. Let h(y) = 10*y**2 + y + 1. Calculate h(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((165\/550)\/((-51)\/(-1700)))\/((-2)\/18).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 2130?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3537.5 - -3538. What is the second smallest value in n, 5, -3, -1, -76?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d**2 + d. Let o be t(-1). Does -2 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lsww when four letters picked without replacement from {s: 4, w: 13, l: 3}?\nAnswer: 26\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 216 - 168.8. Let r = -49.2 + y. What is the nearest to -8\/7 in 1\/6, -0.3, 0.2, r?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*a**3 + 19*a**2 + 10*a**2 - 29*a**2.\nAnswer: -21*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 14 (b) 4366 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*p*x**4 + 114*p*x**2 + 35464*x**4 - 4*x**3 + 10598*x**2 wrt x?\nAnswer: 240*p*x + 851136*x - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of 3505*z**3\/3 + 1565*z**2\/2 + 4530. What is the second derivative of i(w) wrt w?\nAnswer: 7010","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -535990 plus 94?\nAnswer: -535896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -7, -8, -7, -4, 1, 8?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -74 - 12. Let h = s - -86. Which is the biggest value? (a) -2 (b) 1\/4 (c) -4 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w - 5*w + 6*w. What is p(-5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -1 + 1 + 37 + -42.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -5*l + l. Calculate the greatest common divisor of 55 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 491237, 491288, 491377, 491504?\nAnswer: 491669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (55\/((-10890)\/(-12)))\/(920\/(-110)).\nAnswer: -1\/138","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 102 and -2151036.\nAnswer: -219405672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 8*i**2 - 4. Let r be m(-8). Let w = r - -4. Let d = -391 - -395. Solve 16 = 5*t + 2*p - p, 5*t + 4*p - d = w for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -6*s + 123. Suppose 0 = -p + s + 43. Let v = -40 + 61. Calculate the highest common factor of p and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1218 is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -21, -119, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25 - -48) + -16 - (5 + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31 + 51 - (57 + 21)) + 39.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2978882?\nAnswer: 2, 1489441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -4*x + 2. Let i(b) = 4*b + 5. Let y(l) = l + 2. Let p(v) = x*i(v) + 8*y(v). What is p(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30*28\/36)\/(-29*64\/(-2784))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b + 149. Let k be s(-14). What is the second derivative of z - k*z**2 + 25 - 15 - 10 - 2*z wrt z?\nAnswer: -242","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 15*o**2 + 16*o - 26. Let s be d(14). Let p(u) = 4*u + 2 - s*u + 6*u + 0*u. Let z(m) = m**2. Give z(p(q)).\nAnswer: 64*q**2 + 32*q + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 219607 to the nearest integer?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 24571 divided by -5\nAnswer: -24571\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2083*o + 8679 - 8679 to h + g*o and give g.\nAnswer: 2083","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-9242)\/(-4) - 9\/(252\/14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -333761 (base 10) to base 9.\nAnswer: -557745","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 11 + 46 = 0. Let o(m) = -5*m + 45. Let i be o(v). Find the second derivative of -i + 8*j - 15*j**3 + 10 wrt j.\nAnswer: -90*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 4*r**2 + 4*r + 2. Let y be a(-5). Let p(h) = -y*h**2 + 10 + 2*h**2 - 28*h - h**3 - 4*h**2 + 30*h. Does 30 divide p(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 110\/(-231)*(-62)\/(-4). Let v = j + 51\/7. Find the common denominator of v and -22\/15.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-10)\/(c\/c**(-7))*(c\/(c**(-2\/15)\/c))\/(c\/(c**(-3)\/c)))**(-4))**16 assuming c is positive.\nAnswer: c**(20032\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**3 - 8*v**3 - v**3.\nAnswer: -9*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -2\/3 (b) -3 (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -697*b**2\/2 - 2547. Let d(z) = -2*z**2. Determine o(d(l)).\nAnswer: 1394*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v - 3*l = 7*v - 2, 3*v = 5*l - 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -318, 5, -2, -2409 in increasing order.\nAnswer: -2409, -318, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11\/(-3 + 0 + (-28)\/(-8)). Suppose f = 2*d + 5*m, -4*m = -0*m - 8. Suppose 0 = -3*r - 2*x + 36, r = 2*x + 10 - d. Is r a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 118114555 and 1538.\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/35)\/(48\/(-112)))\/((-156)\/(-2145)).\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4 = 19. Let c(p) = -14*p. Calculate the remainder when c(-2) is divided by 8\/(1 - (d - -3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 62*j**6 + 1731*j**2.\nAnswer: 7440*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 125*j**4 - 14*j + 6 wrt j?\nAnswer: 1500*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(1539)*-3 - -3*sqrt(1539)*2.\nAnswer: 108*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -h**4\/12 + 3*h**3\/2 - 2*h**2 - 2*h - 1. Calculate the remainder when g(5) is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90, -76, -52, -18, 26?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -83 divided by -35652?\nAnswer: 83\/35652","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 9*r**2 - 13*r + 2391. List the prime factors of o(-41).\nAnswer: 7, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -1, -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10005851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7498, -15161, -22824, -30487?\nAnswer: -38150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -124504 - -48?\nAnswer: -124456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of 0*u**4 + 0*u**3 + 0*u + 0*u**5 - 1\/150*u**6 - 17*u**2 + 2\/105*u**7 + 1\/70*u**8 + 0. Factor l(p).\nAnswer: 4*p**3*(p + 1)*(6*p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29738000 rounded to the nearest 1000000?\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2033\/25 smaller than -7173?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 6:16 PM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o - 18090 + 17910 = 0. Suppose -2*l = -l - 3. Suppose 0 = 5*b - b + 12, -l*b = -5*x + 69. What is the highest common factor of x and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 + 56. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 27*r**2 + 133*r + 224. Let o(c) = c**3 + 26*c**2 + 132*c + 224. Let q(s) = 5*o(s) - 4*x(s). Suppose q(f) = 0. What is f?\nAnswer: -14, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - n + 1. Let y be h(2). Suppose 0*d - 4 = q + 2*d, 0 = q + y*d + 8. Suppose q*f + 0*f = 88. Is 8 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1958*d + 2 + 1965*d - 4.\nAnswer: 7*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9886863?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/1340632 and -25\/670316?\nAnswer: 1340632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 0 + (51 - 45 - (15 + -1))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18182\/5 or 33\/2?\nAnswer: -18182\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - 9*n - 6. Suppose -15*a = 18 + 117. Determine l(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 4*1 + -3 + -4. Sort 0.4, -84, x in ascending order.\nAnswer: -84, x, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {e: 10, z: 4}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*o**2 - 24*o**2 - 1 + 19*o**2)*(20*o**3 - 8*o**3 - 4*o**3) + (-2 + 2 + 2)*(-o**5 + 4*o**5 + 0*o**5).\nAnswer: 214*o**5 - 8*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 3:25 PM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 30, 55, 80, 105, 130?\nAnswer: 155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-12)*(360\/(-140))\/(12\/(-1484)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*v**4 - 11*v**4 - 11*v**4 + (-v**2 - v**2 + 4*v**2)*(5 - 5 + v**2).\nAnswer: -10*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 2*m + 5*u, -2*u - 2*u + 11 = 5*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1709898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1877 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: Collect the terms in 3 + 184*x + 46*x + 0 + 0.\nAnswer: 230*x + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.38 + -1.22. Let d = 1.5966 + c. What is d rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39 + -5 - (-96 - -144) - -77?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lzhhhhzhlhhlhzzzhzz. What is prob of picking 3 l?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -802*i - 803*i - 794*i - 799*i + 3195*i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus -2628140630.4449?\nAnswer: -2628140635.4449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (7 + -16 + (-4 - -12))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - b = 3. Solve 3*r - 23 = 4*j, j + 2*r + b = -2 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 12*n**2 - 12*n + 14. What is q(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/115 and -17\/299.\nAnswer: 1495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of o**4\/12 - 7*o**3\/6 + 8*o**2 + 7*o. Let i be d(12). What is the units digit of i\/8*2\/1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -627*c - 4331. Let r be d(-7). What is the second smallest value in 0.3, r, -2\/7, 3, -0.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 465*y - 1724. What is f(3)?\nAnswer: -329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -5*r - 4*f, -13*r - 4*f + 7 = -10*r. Let l(t) = 6*t**3 + 4*t**2 - 3*t + 3. Let n(a) = 11*a**3 + 7*a**2 - 5*a + 5. Determine r*l(v) - 3*n(v).\nAnswer: -3*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63790022*p**3 - 22*p - 63790021*p**3 + 22*p.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 738 is divided by 352.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -25*36495\/(-14250) - 64?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 + -4. Calculate the smallest common multiple of a and 18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11563815*s*v**4 - 30*s*v**2 - 9*s*v - 16*s + 2*v**4 - 3*v**2 + 2555*v wrt v.\nAnswer: 277531560*s*v + 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 5 (b) -3 (c) -6 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 51*v - 24. Let g be m(6). Suppose -g = -18*z + 16*z. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3\/4 (b) -1\/3 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + 897ec?\nAnswer: 897e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 278 - 274. Let k(n) be the first derivative of 1\/2*n**a + 0*n + 0*n**3 - n**2 + 4. Factor k(g).\nAnswer: 2*g*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4 + ((sqrt(128) + sqrt(128) + 1)*4 + ((sqrt(128) + -2)**2 + sqrt(128))*3)*3).\nAnswer: -96*sqrt(2) + 4784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**5\/19 - 698*b**4\/19 - 27734*b**3\/19 + 493626*b**2\/19 - 1852200*b\/19 = 0. What is b?\nAnswer: -300, -63, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*f - 39*f = -5*t - 9, 7 = 3*f + t. Solve f*s = 3*y + 9, 2*s = -4*y + 24 - 36 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -869\/19285 - -3\/1015. Let p = g + -2477\/2090. What is the common denominator of -5\/176 and p?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1274))\/(sqrt(2)*3*-3).\nAnswer: -7*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14.4 - 9.4. Sort 1\/3, t, 2\/11.\nAnswer: 2\/11, 1\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c*v*y**2 - 29783350*c*v*y + 495*v*y + 2312*v - 3*y**2 + 2*y with respect to c.\nAnswer: -2*v*y**2 - 29783350*v*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 0.045, -4, -907, 3, -3?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*i**2 - 73*i**2 + 6 + 184*i**2 - i.\nAnswer: 224*i**2 - i + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**2 + 31720*u - 3856400.\nAnswer: -5*(u - 6220)*(u - 124)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/2, -2\/9, -3.8, 1?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 - (11 + 15 + (19 - 20))?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -f5c (base 16) in base 15?\nAnswer: -1272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 + 9*r + 5. Let t be y(-9). Suppose 4*i + i + 3 = 2*d, t*i = -5. Sort 5, -4, d in decreasing order.\nAnswer: 5, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w*w**15\/w)*w**(-2\/19) assuming w is positive.\nAnswer: w**(-268\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -28173*o - 26. Is x(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**3 + 2*d**2 + 10*d - 5. Let g(u) = -10*u**3 + 11*u**2 + 50*u - 25. Determine 11*f(i) - 2*g(i).\nAnswer: -2*i**3 + 10*i - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 + 2)*(-4 + 4 - 2)*(-z - 2 + 2) + 4*z - 21*z + 2*z)*(-z + 0*z + 0*z).\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2905092 is divided by 73.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/((-4)\/(-4))*1. Let q be 2\/(x\/((-9)\/(-6))). Solve -4*v = -v - q for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ql when two letters picked without replacement from lvqq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.7 - -4. Let p = -21 + 19. Which is the closest to -0.1? (a) -1\/3 (b) p (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*l = 167*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24504, 36478, 56434, 84372, 120292?\nAnswer: 164194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -3329?\nAnswer: 3324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.07+21045180\nAnswer: 21045180.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16023*j**2*s - 5*j**2 + 106*j*s - 163788*j - 9*s + 17 with respect to s.\nAnswer: 16023*j**2 + 106*j - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 900 = -4*s, 7*s = 9*s + 4*o + 450. Let d be 1*(4 + s\/55). What is the third biggest value in 4, d, -0.4, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9082589.\nAnswer: 19, 43, 11117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (8 - ((5 - 5) + -7))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 155, 649, 1487, 2669, 4195, 6065, 8279?\n\"Answer: 172*d**2 - 22*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 6097?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(0\/3 + 14\/8). Which is the second smallest value? (a) v (b) 2 (c) -1.49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-6\/7)*f**(4\/5)*f\/f**(3\/8)*f**7\/f assuming f is positive.\nAnswer: f**(1839\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 11*c**2 + 2*c - 2. Let s be w(11). Let i = s + -13. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(-3)*4*5\/(-80).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 5*r + 53, -19678190*r = -19678194*r + 4*x - 28 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -8 - ((-27)\/729)\/((-2)\/(-438)). Which is the nearest to 0.06? (a) -4\/3 (b) 4 (c) -0.3 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = -4*r - 5*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that j**2\/6 + 10*j\/3 - 7\/2 = 0.\nAnswer: -21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 210100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 10 = -35. Let r(j) = -j - 1. Let q be r(u). Suppose 2*x + 3 + 5 = 0. Which is the smallest value? (a) x (b) q (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3*h. Let m(l) be the first derivative of -5\/2*l**2 + 0*l + 9. Calculate s(m(f)).\nAnswer: 15*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*q + 4*z, 5*q + 2*z + 1 + 3 = 0. Suppose -3 + q = w. Sort -1, w, 0 in decreasing order.\nAnswer: 0, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 38520589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*v - 69610 = -70330 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80147 = -2056*o - 14429 for o.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -43.9 or -0.1?\nAnswer: -43.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83341 is divided by 1276.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*k + 5521 = -141167. List the prime factors of k.\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*i + 268 = 4*s, 2*s - 120 = -i. Let p = -363 - -608. What is the remainder when p is divided by s?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101221 + -12?\nAnswer: -102010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 766243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1197 + 1196.8. Which is the closest to -53? (a) -1\/4 (b) -3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -2, 2633 in decreasing order.\nAnswer: 2633, 4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-4) - 6\/(-8). Let o be (4 - 1)*(-6)\/(-3). Let h = 83\/425 + 2\/425. What is the closest to i in o, 1\/3, h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54278.\nAnswer: 2, 7, 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 5 + 5325*v + 0 - 3 + 12.\nAnswer: 5325*v + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20 in -1, 47, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - (5 + -1))*(-3 - 7). Let o = t - 119\/4. Let -1\/4*f**3 + 0 + 0*f**2 + o*f = 0. Calculate f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/5)\/(147*4\/210).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 3\/6*(-4 - (-2 + -32))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - 2)*(2*v + 0 + 0)*(v**2 + 3*v**2 - 13*v**2)*(-4 + 4 - v).\nAnswer: -72*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -108*c + 107*c - 28 - 13 + (-c - c + 4*c)*(-4 + 4 + 3) - 2*c - 4*c - 2*c - 2*c - c + c.\nAnswer: -5*c - 41","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1088*i + 1043*i + 73845. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 49*i**5\/3 - 3206*i**4\/3 - 6413*i**3 - 10204*i**2\/3 - 1420*i\/3 = 0. What is i?\nAnswer: -5, -2\/7, 0, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 + -34. Solve 2*c + 2*d + d = -16, -4*c = -u*d for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = d - 20, -3*j = -4*j + 5*d - 28. Put 3, j, -4 in decreasing order.\nAnswer: 3, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8951, 8949, 8939, 8915, 8871, 8801, 8699?\n\"Answer: -b**3 + 2*b**2 - b + 8951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of 0*i**2 + 12*i**3 - 5\/12*i**4 - 5*i - 6 + 3\/20*i**5. What is the second derivative of s(w) wrt w?\nAnswer: 18*w - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 2:18 AM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 times -20?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -6 - ((-2 - 9) + 1 + 15)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45999805?\nAnswer: 5, 137, 67153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 22109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of -p**7\/42 + p**4\/3 + 2*p + 3. Let i(a) be the first derivative of t(a). Find the third derivative of i(w) wrt w.\nAnswer: -60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z + 0 + 0 + 2*z + 4 - 4 + (z - 4*z + 4*z)*(-2 + 3 - 3) + 2*z - 2*z - 2*z + 6*z - z + 2*z + (-4 + 1 + 1)*(-1 + 1 + z).\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) -2 (c) -1.88\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2806758 and 9.\nAnswer: 2806758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 4*w. Let i be (-2)\/2*1 + 5. Let t be (i - -1) + (w - 1). Solve 0 = 4*j - 5*z + t*z - 10, -2*j + 12 = 3*z for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*k + 23*k - 48 = 0. What is the remainder when 82 is divided by k?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 760174.07 to the nearest one hundred.\nAnswer: 760200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = g - 20. What is the remainder when 23 is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -258db (base 14) to base 11\nAnswer: -633a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 110591 and 20706038.\nAnswer: 8507","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**4*o*o*o*o**3)\/(o**2)**(3\/7) assuming o is positive.\nAnswer: o**(64\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*12\/(-8) + -1 + -9 + 4?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 588, 1176, 1764?\n\"Answer: 588*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4 = -2*b + 13, b = 5*p + 27. Suppose 0 = b*k - 6*k. What is the third derivative of k - 2*m**4 + 5*m**2 - 2*m**2 + 0 wrt m?\nAnswer: -48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0082487 + 0.0082487. Let b = -41 - -95. Which is smaller: d or b?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 9*q**2 - 8*q + 8. Let d be j(-8). Let a = -36 + 41. Solve 3*i - a*i = -d for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/5310 and -19\/155050?\nAnswer: 82331550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 7*c**3 + 2*c**2 + 2*c - 10. Let z be o(2). Find the second derivative of -10*k + 57 - 112 + z + 38*k**2 wrt k.\nAnswer: 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x\/x**(-6))\/x*(x*x*x**(-4\/5)*x)\/x)**(2\/11)\/(x**(-3\/4)\/(x\/x**(-9)))**23 assuming x is positive.\nAnswer: x**(54723\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4480 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i. Let c(g) = 6*g. Suppose 5*o = d - 19, 5*d - 17 = -0*o - o. Let b(k) = 5*k. Let p(q) = d*c(q) - 5*b(q). What is p(v(f))?\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 - 0. Suppose -4*j - 3*q + 2 = 0, 3*j + 2*q + 0 = 1. Suppose 6 = -g - 2*g. Which is the nearest to -1? (a) y (b) j (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 20 + 3)*(4 - 4 - c**4) - 2*c**4 - 4*c**4 - 10*c**4.\nAnswer: 7*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -19?\nAnswer: -7.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 72 - 135. Let b = 62.93 + v. Is -2\/11 less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/10 of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**5 - j**3. Let x(l) = -3*l**5 + 12*l**4 + 12*l**3 + 12*l**2 + 3*l. Let d(k) = 6*o(k) - x(k). Determine z so that d(z) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -15942, -15941, -15940?\n\"Answer: p - 15943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -79 and -0.088.\nAnswer: 6.952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3*g. Suppose -2*y = 3*y. Let w(b) = -b + y*b + 2*b. Determine w(h(c)).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.031771 to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 16. Suppose 2*k - 17 = 5*h - 8*h, -5*k = -5*h - a. What is the greatest common divisor of h and 87?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 86 and -0.01.\nAnswer: -0.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20.3 + 19. Let o = i - -1.348. What is o rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4250 and 0.125.\nAnswer: 531.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + r - 1106 = 0, 2*m - 3*r - 352 = m. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 8:16 AM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 96848605 a multiple of 564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 73 - -192.7.\nAnswer: 265.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 33099.65378 to the nearest 10.\nAnswer: 33100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, 2\/25, -0.4, 3\/46 in descending order.\nAnswer: 2\/15, 2\/25, 3\/46, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in -7, -6.2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -531060 + 531066. Suppose -4*f = 35 + 1. Let s = 15 + f. Solve n + s = 3*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -5. Is ((-2)\/f)\/(-1)*-194 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -3*h**3 - 7*h**2 + 5*h + 7. Let z(d) = 5*d**3 + 11*d**2 - 8*d - 11. Suppose -8 = -2*t, -5*t = -4*s - 9*t + 36. Determine s*z(w) + 8*b(w).\nAnswer: w**3 - w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 121 - 120.5. Which is the third smallest value? (a) -5\/4 (b) -9\/5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/4*-4 - 12. Let q be ((-16)\/h)\/((-2)\/(-5)). Solve 0*l - q*m - 16 = 4*l, -m = -2*l - 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 709, 1426, 2141, 2854?\nAnswer: 3565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 25*d**2 - 27*d + 40. Calculate g(-24).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -116 - -118. Suppose 19 = 3*a + 4*h, 0*h = -c*a + 4*h + 6. Solve 0 = 2*j - 3*v - 6, -2*j + 1 = -a*v - 5 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6 - (0 - (-1 + 2)). Let h = r + 1. What are the prime factors of 46\/(h - -6) + -4?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -524 + 1302. What is the hundreds digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 3314005?\nAnswer: 3314005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007934 to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 8*x - 12. Let l be m(-9). Let d = -0.05 - 40.95. Let z = d - -36. Which is the closest to -0.2? (a) l (b) z (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5256 - 2757. What are the prime factors of u?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1589908 times -0.5?\nAnswer: 794954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 130 - 1301\/10. Do 1 and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -52903*f**3 - 2*f**2 + 3*f + 1141277 wrt f.\nAnswer: -158709*f**2 - 4*f + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(800) + -2) + (sqrt(80)\/(sqrt(100)\/(sqrt(10)*-2 - sqrt(10))))**2 + 5.\nAnswer: 20*sqrt(2) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5553 + u - 5553.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/1*(-66)\/44.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 - 4*p**2 + 5*p**2)*(-4*p**2 + 6*p**2 - p**2) + 0*p**4 - 11*p**4 - 3*p**4.\nAnswer: -12*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -3*b - 44. Suppose 4*v = 4*g + 436, 1 = 3*g - 2*g. Suppose 0 = -5*y + 105 + v. Calculate the remainder when y is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16.9017 - 16.97. What is s rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from izfpifiiiiifizif. Give prob of picking 1 f and 1 z.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -20*z - 2. Let r(j) = -5*j**2 + 12. Let c(p) be the second derivative of -7*p**4\/6 + 17*p**2 - 42*p. Let n(s) = 6*c(s) - 17*r(s). Give q(n(h)).\nAnswer: -20*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -n - 193, 3*t - 5*t = -3*n - 199. Suppose 5*a = 6*a - t. Calculate the highest common factor of a and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 139333, 139334, 139335?\n\"Answer: l + 139332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 (base 10) in base 14?\nAnswer: 2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 12, -72, -0.4, -2\/3, -0.265?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (5 - 2) + (9 - 6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 3\/5 (c) -3\/4 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 0)\/(4\/(-20)). Let v(c) = -c**2 - 2*c + 9. Give v(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*h - 3509 = 272*h - 108*h for h.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -1 (b) -10\/7 (c) 4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 223215267?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1413640386?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 573824 to the nearest integer?\nAnswer: 758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 148986 and 3897.\nAnswer: 64510938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 13 = 3*z, 0 = 792*r - 793*r + 5*z + 17 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 570773.3 rounded to the nearest one hundred?\nAnswer: 570800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h + 15. What is k(-20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25375 and 28826?\nAnswer: 3603250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-279)\/24)\/((-55 - -41) + (-954)\/(-72)).\nAnswer: 31\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88 and 29096?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -227, -463, -713, -983, -1279?\nAnswer: -1607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38.1 - 38. Sort k, 2\/3, -3\/2 in descending order.\nAnswer: 2\/3, k, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n = 16*n + 35 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57466 is divided by 138.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 333754 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28768497?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 4 + 108*k**3 + 10 + 0.\nAnswer: 108*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 607164374*g**4 + 3*g**2 - 2093*g - 5 wrt g.\nAnswer: 14571944976*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 4*h - 125 = 0, 2*s - 6*h - 60 = -4*h. Calculate the highest common factor of s and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4f - 23442f?\nAnswer: -2343e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 0*c = -530. Let z = c - -162. Suppose -24 = -5*n + z. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a micrometer in nanometers?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.002, -2\/5, 0, 1\/8?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 - (-15 + 9) - -23.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3831602.26 rounded to the nearest one hundred thousand?\nAnswer: -3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7029 + 1012181\/144. Let g = 3\/16 + j. Let s = -0.3 - -0.1. Is g > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3 + ((-1 + sqrt(275)*1)**2 - (sqrt(275) + ((sqrt(275) - (sqrt(275) + -1 + sqrt(275)))*6)**2) - (-3 + 3*(sqrt(275) + sqrt(275) + sqrt(275) + -1)))).\nAnswer: -28971 + 900*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21? (a) 2 (b) -3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + -28 + -19 + 31 + 25.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -263, 36, 25 in descending order.\nAnswer: 36, 25, -263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**3 + 0*h + 0*h - 3*h**3 - h + h + 3*h**3 - 2*h**3 + h**3 - 4*h**3 + 5*h**3 + h**3 + (0*h - 2*h + h)*(h**2 + h**2 - 3*h**2).\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -263881 by -1.\nAnswer: 263881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*i - 38*i - 2253*i**3 - 37*i + 113*i - 1.\nAnswer: -2253*i**3 + 3*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2095 and 1846533.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**0\/k)**(3\/22))**(-43)\/(k**(-1)*k**(2\/5))**(-10) assuming k is positive.\nAnswer: k**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 4*i**2 + 2*i - 4. Let g be y(4). Let x(b) = b**2 - g*b - 2 + 2*b**2 - 2*b**2. Suppose -7*l + 3*l + 16 = 0. Determine x(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 - 23. Let u be z(4). Let r(k) = 6*k**3 + 13*k**2 + 3. Let o(p) = 4*p**3 + 9*p**2 + 2. Determine u*o(b) + 5*r(b).\nAnswer: 2*b**3 + 2*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0693 times 0.4?\nAnswer: -0.02772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00056474 rounded to six dps?\nAnswer: 0.000565","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, o: 2, d: 1}. What is prob of sequence douo?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (108\/15 - 3) + -4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1*(-3 + (sqrt(891) - ((2 + sqrt(891))*3 - sqrt(891))) + 1)**2.\nAnswer: 144*sqrt(11) + 957","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21434\/(-63)*-8 + 2\/9 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2 = 8. Suppose 18 = 4*z + o. What is the third derivative of -3*x**2 + 4*x**z - 6*x**4 + x**4 wrt x?\nAnswer: -24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7089345 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3307aa - 8?\nAnswer: -330807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*d = -35*d + 16. Let t(j) = j**3 + 8*j**2 - j. Let v be t(d). What is the units digit of (-668)\/(-12) - v\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/((-3234)\/294))\/((-2)\/(-7))?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1962 = 64*n + 263*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.08 + -4.92. Let w = 2 + -4. Let n = w - -7. What is the closest to -1 in -5\/2, c, n?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*m - 11*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -2 (c) -6 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -209*v**3 - 1826*v**2 + 212*v**3 + 1826*v**2.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -13, -416, -0.4, -9\/2?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6110, 5954, 5694, 5330, 4862, 4290, 3614?\n\"Answer: -52*a**2 + 6162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -18144658.3 rounded to the nearest 10000?\nAnswer: -18140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 719?\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -211915764 by -4806.\nAnswer: 44094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/2916 and 61\/154?\nAnswer: 224532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 33743044.66 to the nearest one hundred thousand.\nAnswer: 33700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 555 is divided by 80.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -111.2 * 0.06.\nAnswer: -6.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + i. Let t be n(-2). Which is bigger: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 5*o = 35, 0*u - 19 = -3*u - 5*o for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 4*u - 25, 0 = -2*g - 2*u + 22. Let w be (-2)\/g*45\/70. Suppose j = 2*q - 2*j + 15, 0 = -q + 2*j - 10. Is w less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2674*n**2 + 3347*n**2 - 838*n**2 + (-5*n + n + 2*n)*(2 + 3 - 3)*(-3*n + 2*n + 2*n).\nAnswer: 5179*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*2\/(-12)*(-267)\/(-445).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1214528 and 38?\nAnswer: 23076032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.3 + -1.042500493?\nAnswer: 7.257499507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -723, -1447, -2171, -2895?\n\"Answer: -724*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 116 divided by 58\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 3\/4*i**3 - 3\/2*i**2 + 0*i + 0 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 121655 and 4205?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7613\/3 + 2539. Factor 2\/3*q**5 - 4\/3 - u*q**2 + 8\/3*q**4 + 8\/3*q**3 - 10\/3*q.\nAnswer: 2*(q - 1)*(q + 1)**3*(q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -527377 <= -527380?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**5\/5 + 14*t**4 + 684*t**3\/5 + 848*t**2\/5 - 6656*t\/5 - 12288\/5 = 0. Calculate t.\nAnswer: -16, -4, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*c = -17*c + 282 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 9:16 AM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 57, 158, 351, 666, 1133, 1782?\nAnswer: 2643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/9 + 3 - (-3)\/1.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 293.3063 to 1 decimal place.\nAnswer: 293.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c - 7*c - 3*c. Suppose -18 + 58 = 4*w. Let l(f) = f - 5. Let d(b) = 1. Let u(q) = w*d(q) + 2*l(q). Calculate u(n(v)).\nAnswer: -18*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4342 (base 5) to base 9.\nAnswer: -733","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of 0*n**2 - 2\/5*n**6 - 10\/3*n**3 - 4*n - 19\/5*n**5 - 7*n**4 - 1. Find a, given that b(a) = 0.\nAnswer: -5, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -52.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 51, 80, 109, 138?\nAnswer: 167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g - 42. Give b(26).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3764*h**4 - 215206*h + 6483*h**4 + 215206*h + (0*h + h + 0*h)*(5*h**3 - h**3 - 3*h**3) + h**4 - 2*h**4 - h**4.\nAnswer: 10246*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-30)\/25*30\/(-198)*-1. Sort -5, 1\/3, k, 87 in increasing order.\nAnswer: -5, k, 1\/3, 87","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 73539888*b**2 - 4*b.\nAnswer: 4*b*(18384972*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0016 + 11.5984. Let f = -0.038 - -11.238. Let l = f - r. What is the nearest to 0.1 in l, -0.5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 10*h**2 - 11*h - 21. Let m be b(-9). Is (3 + -4)\/(m + (-1072)\/(-358)) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-56 - -57)\/(2\/(-4) + 0). Let i = -7 + 12. Sort y, i, 1 in ascending order.\nAnswer: y, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 145059?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - ((9 - 19) + 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 35\/(-266)*(-162)\/(-135)\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (6 - -5)) + 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -4, 0.16, -0.2, -0.14?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f + 8. What is l(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/8 + 585*b\/8 - 19703\/4.\nAnswer: (b - 61)*(b + 646)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -5 (c) 0.5 (d) -385.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29*v*y**3 + 3*v*y**2 + 3*v - y**3 - 155*y**2 - 22 wrt v.\nAnswer: 29*y**3 + 3*y**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000295475 rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1))**(2\/51)\/((t*t\/(t\/t**(-5\/2)*t))\/(t**0\/t)) assuming t is positive.\nAnswer: t**(149\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6270 + 6270.0006048. Round x to 5 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 + (6 + -4)*-1. Suppose -5*n + 3*u = -357, -b*n + 217 = u - 0*u. Does 6 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 5*w + 8 = 0, -132*o + 130*o - 8 = 2*w for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2456435345 - -0.1.\nAnswer: -2456435344.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9797367 and 5373.\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**5 + 956*d**4 + 23550*d**3 + 20692*d**2 - 45200*d = 0. Calculate d.\nAnswer: -452, -25, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**2 + 169*n + 168*n + 109*n - n**3 - 446*n.\nAnswer: -n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 567, 81, -1 in decreasing order.\nAnswer: 567, 81, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oov when three letters picked without replacement from {o: 2, v: 2, u: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1001484\/(-495) + (12 - -2). Are -2009 and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -g**5\/105 + g**4\/14 + 8*g**3\/21 + 51*g**2 + 2*g. Suppose u(b) = 0. What is b?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.11 and -245.5.\nAnswer: -27.005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 85, -5, -2, -3, 2.\nAnswer: -5, -3, -2, 2, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -77*v**2 - 69*v + 5. Let u(g) = 80*g**2 + 68*g - 4. Let k(c) = 4*b(c) + 5*u(c). What is the second derivative of k(p) wrt p?\nAnswer: 184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/10*(-27)\/(324\/24)*10?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lc when two letters picked without replacement from cnalccccccacc?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p + 575 - 575.\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -4*w - 70. Let z be (-35)\/(-10)*(-12)\/w. Solve 0 = k + z - 1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -17*i**2. Let c(w) = -5*w**2 + 976*w + 1. Give c(s(t)).\nAnswer: -1445*t**4 - 16592*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1875)\/105 + 18 + 10\/((-7560)\/(-207)).\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10620\/1117, -5, 0.2 in ascending order.\nAnswer: -5, 0.2, 10620\/1117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.117401 times 1\nAnswer: -0.117401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 4*b - 105, -4*p + 5*b + 44 - 1 = 0. Calculate the highest common divisor of p and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/((y**12*y*y)\/y)*y*(y**(-17)\/y)\/y*y assuming y is positive.\nAnswer: y**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003539149 to six decimal places.\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -282 - -287. Suppose -5*t + 21 + 11 = 2*y, 5*y = -l*t + 80. Calculate the lowest common multiple of y and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 820564 != 4102817\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 20*m**2 + 43186*m + 12954 = 0.\nAnswer: -2159, -3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 5*d - 4)*(-1 + 3 + 0) + (-2 + 1 - 1)*(2*d - 4*d + 4*d).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*u + 32 = -32*u. Solve 3*r - z + 7 = 0, 4 + 9 = -u*r + 5*z for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -110 (b) -2 (c) -3\/4 (d) 2\/15 (e) 4\/7 (f) 108.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*o**2 - 102297*o + 102296*o - 160*o**4 + o**3 + 0*o**3 to x + u*o**2 + b*o**4 + w*o + j*o**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1084, -1020, -922, -790, -624, -424?\n\"Answer: 17*i**2 + 13*i - 1114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -5*(-3 + (0 + 1*sqrt(242) - (sqrt(242) - 4*3*sqrt(242))) + 4))**2.\nAnswer: 1320*sqrt(2) + 871201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7*(-18)\/(-63))\/((-2)\/(-3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000099668 rounded to six decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -243 divided by 336.\nAnswer: -81\/112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110001111011001111010 - 0?\nAnswer: -10110001111011001111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 5*d - 160380, -4*d + 32092 = -3*d - 4*c. What are the prime factors of d?\nAnswer: 2, 19, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12010122 (base 3) to base 4.\nAnswer: 322133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2054929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -208, -0.3 in decreasing order.\nAnswer: -0.3, -4, -208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 r when three letters picked without replacement from zcrzrc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g - 7. Let y be l(-5). Let x be -14*2*y\/6. Let z = -12 - x. What is the greatest common factor of z and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - d + 2*d = 39, -2*d = 5*s - 65. Let u = -5 + s. Let o be -1703 + u\/4 + 1. What is o rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 333*r - 329*r = -3*l - 120, -5*l + 4*l + 30 = -r for r.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from tzzzzzztzzzzztztzzz.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -464 - 13?\nAnswer: -477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10171560761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -18975810 divided by -542166?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 0.038337.\nAnswer: -0.115011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11328 and 696?\nAnswer: 328512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 37728.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -5 + 55 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 + -29. List the prime factors of (-126)\/s + (-15)\/10.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5593 - 33*y**2 + 5593 - 46*y**2.\nAnswer: -79*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3320013 (base 4) in base 5?\nAnswer: 1002004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12626791.\nAnswer: 12626791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*g - 8*g - 38*g)*(-g**2 + 2*g**2 + 0*g**2)*(3 - 2 + 1)*(0 + 1 - 2).\nAnswer: 62*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2224533 (base 6) in base 7?\nAnswer: -646023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of 15*z**4\/8 + z**3\/3 - 2*z**2 + z. Let f(o) = -o**2. Determine r(f(t)).\nAnswer: -45*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p + 8. Let i be z(-6). Let f be ((-2)\/4)\/(4\/(-16)). Suppose 0 = -4*n + 2*r + 14 - i, -n = -f*r. Solve -4*y = w - 2 - 3, -2*y = 2*w - n for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 12:30 AM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r + r - 145. Let k = 1 - r. Suppose 2*p - p - k = o, -3*o = 4*p - 134. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3050*h. Let b(v) = -2*v**2 - 143*v. What is s(b(l))?\nAnswer: -6100*l**2 - 436150*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8 + -15 + (16 - 5). Suppose -10*s + 30 - 10 = 0. Solve -z = -3*y - s, -13 - 7 = -q*z for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3789.9271 to the nearest 100.\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1184\/3 + 395. Suppose 0 = 5*x + 2*k - 7*k, -5*k = 20. Which is the nearest to -2\/5? (a) m (b) 2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -4*c + c - 46, -3*c = 6. Let j(n) = -n**2 + 8*n + 4. Let h be j(u). What is the units digit of (-2)\/(h*2\/(-12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -110, -188, -284, -404, -554, -740?\nAnswer: -968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 - 3216*c + 87595. Calculate l(27).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25578)\/1392*112\/(-49).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-118 - -112) + (-22)\/(-2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*o + 659 = o, 0 = f - 2*o + 651. Let l = f - -2003\/3. Calculate the common denominator of l and 2\/(1*4)*62.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 9:50 AM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1576*p + 1552*p - 3140*p + 17 + (3 + 1 - 3)*(-5*p + 3*p + 0*p).\nAnswer: -14*p + 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkwwvkkwpwwplwwkw. Give prob of picking 1 v, 1 p, and 1 w.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1847 - -9236\/5. Put -48, 0.3, -0.1, f in descending order.\nAnswer: 0.3, f, -0.1, -48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-27)\/(-54) - 15\/46. What is the closest to 6\/11 in 5, 1, k, -0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-8) + (-5)\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 less than 0.100731225?\nAnswer: -5.899268775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5 + -5 + (sqrt(891) + 0)*1).\nAnswer: 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - 3*n. Let v be d(-2). Suppose v*o + 21600 = 3*z + 5*o, -4*z + 4*o = -28800. What is z rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 82 + -35. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-13)\/(-13)*7\/2).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of c**4\/6 - c**3\/6 + 5*c**2\/2 - 12*c. Let m(a) = 2*a**2 - a + 6. What is 6*l(w) - 5*m(w)?\nAnswer: 2*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2906985 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -91 + 218. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaag when four letters picked without replacement from {a: 14, g: 5}.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 4. Let p be m\/3 + (-21)\/(-18). Which is bigger: 3 or p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -5*j**2 + 11*j - 22. Give r(4).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 12*p = 135. Let r be -5 + (-460)\/p - (-4)\/(-18). Suppose 0 = -r*y + 3*y - 6*y. Put -0.06, -5, -1, y in increasing order.\nAnswer: -5, -1, -0.06, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 10*v**2 + 17*v - 44. Determine u(-12).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 512*m - 1517. Determine c(3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/5 + (-1228)\/20. Let i = n + 111. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 145*12\/(-60)*(-2)\/((-6)\/3).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 754374515 to the nearest integer?\nAnswer: 27466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*c - 13*c - 6*c in the form a + k*c and give k.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/757 (b) -1\/2 (c) 3 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 989\/14 - 484\/7. Suppose -4*y - 24 = -0*y. Let m = 6 + y. What is the third biggest value in a, -5, 4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18 + 5*b**5 + 18 - 4*b**5 + b**5 + 4*b**5 - 3*b**5 - b**5 + 2*b**5 + (2 + 2*b**3 - 2)*(0 - 2*b**2 + 0) + 0*b**5 + 4*b**5 - 2*b**5 - 2*b + 2*b - b**5.\nAnswer: b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.965 rounded to one decimal place?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 25 = -5*s, -5*s + 156 = -x + 176 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -148 + 218. Let g be (-84)\/w - 101\/(-5). What is the greatest common divisor of 551 and g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -128 in decreasing order.\nAnswer: -1, -5, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 i when four letters picked without replacement from yiiiiyi?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4028 - -3726. Put 3, x, 4\/3, -2 in decreasing order.\nAnswer: 3, 4\/3, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/22*(-4)\/5.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/((sqrt(132)\/(sqrt(33)\/sqrt(3) + sqrt(11)) - sqrt(12)) + sqrt(12)).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 102 + -19. Let z = f + -60. Let s = 22.63 - z. Round s to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3113 - 3?\nAnswer: -3122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136)*-2*-5)\/(2*sqrt(968)))**2 - (1 + -2*sqrt(17)*2)*3.\nAnswer: 62\/121 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4062171.\nAnswer: 3, 1354057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 28656180?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llktlkykktkkkykkpkp. What is prob of sequence pytk?\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39318, -78625, -117932, -157239, -196546, -235853?\nAnswer: -275160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 60 = -5*d + 12*b, 5*b + 44 = 3*d + 13 + 6 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 AM and 3:57 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.509 + -0.009. Sort j, 0.36, -0.5, -4 in descending order.\nAnswer: j, 0.36, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**2 + 2*d**2 - 2*d + 74 + 3*d**3 - 74 to r + a*d**3 + u*d**2 + l*d and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of s**5\/20 - s**4\/12 - s**3\/6 + 14*s. Let k(w) = -16*w**3 + 20*w**2 + 20*w. Calculate k(l) + 20*x(l).\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 13*j**2 + 377*j - 36. Let b be h(39). What is b rounded to the nearest one thousand?\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u - 15*u = -464. Let c(i) = 2*i**3 - 18*i**2 - 6*i - 61. Is c(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*m - 34 + 377. Suppose -m = -5*w + 4*y, 5*y = -4*w + 2*y + 33. Solve -4*k = 3 + w for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*b*c*t**3*w + 2*b*c*t**3 - 33*b*c*t**2 - 8*b*c*w - b*t**2*w - 2*b*t**2 - 2*b wrt w?\nAnswer: 6*b*c*t**3 - 8*b*c - b*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -3 (b) 0.2 (c) 28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17764 to the power of 1\/2, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6663439 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 8 = -3*m, -4*k = -m + 6*m for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 12) to base 2.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 8:22 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34 - 10. Let t = 28 + -5. Suppose -5*a = -7 - t. Calculate the greatest common divisor of a and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 5*t + 15. Suppose -14 = -4*r + 14. Let n be j(r). Let x = 294 + -4412\/15. Which is smaller: x or n?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 times 1622.07042\nAnswer: 17842.77462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 56 - 49. Let x be 9\/(3 + 0) + (-25)\/h. Let i = 7.7 + -8. What is the second smallest value in i, -2\/7, x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 5*c = -17, 7*q - 2*q + 10 = 4*c. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47\/5 + (-15)\/(-75) - (16 + -8).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1f9f (base 16) to base 9\nAnswer: 12084","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 130295 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2253065*f**3*i**2 + 2*f**3 + 25863540*f - 7*i**3 wrt i?\nAnswer: -4506130*f**3*i - 21*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**4 - 20*n**2 - 36*n + n**4 - 40*n**2 - 28*n**3 - 2*n**4 = 0 for n.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1749135.869 and 815?\nAnswer: 1748320.869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1360*a**5 + 5960*a**4 + 7525*a**3 + 2090*a**2 - 20*a - 40 = 0. What is a?\nAnswer: -2, -1\/4, 2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 49 and 63.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1362608688 to the nearest integer?\nAnswer: 1109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*f - 2*u, -80*f + 2*u = -83*f - 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29*g**3*k**3 + 9*g**3*k**2 + 14*g**3 - 8*g**2*k**2 + 119*g*k**6 - 10*k**2 wrt k.\nAnswer: 174*g**3 + 14280*g*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7 - 150\/(-24))\/(-3). Which is the closest to -2\/15? (a) -2\/3 (b) n (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 2:44 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 4*s - 1. Let g be a(5). Let z = 8 + g. Differentiate 0*v**3 - z + 1 - 4*v**3 with respect to v.\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41038 is divided by 134.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*3*sqrt(156) - sqrt(156)) + sqrt(156))*3)\/(-6*4*sqrt(108)).\nAnswer: -sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 + 25. Let u = 281\/3228 + -1\/269. What is the smallest value in -2, k, u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.104 and -7.\nAnswer: 7.728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*c + 7 - 31. Solve 5*h + 2*t = -2*t + 22, -c*h + 3*t - 1 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3926 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b + 4*y - 20, 7*y + 7 = -3*b + 8*y for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2217, -9421, -21427, -38229, -59821, -86197?\n\"Answer: d**3 - 2407*d**2 + 10*d + 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -244*((-32)\/(-24) - 254\/24) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 3*z**2 - 3*z. Let v(g) = -g - 1. Let d be v(-13). Suppose -t - d = 3*t, -4*t + 24 = 4*r. Let w be 8\/6*(r - 6). Determine q(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73 - 77 - (3 + 0).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 507*w = 524*w + 17 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -n**5\/60 + n**4\/24 + n**3\/6 + 2*n**2. Let q(l) = 20 - 24 - 5*l - 14*l**2 + 19*l**2 - 2*l**3. Determine 5*o(m) + q(m).\nAnswer: -2*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 4:30 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00048046393 rounded to six dps?\nAnswer: -0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -738955 (base 12) to base 8.\nAnswer: -6741121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*f + 44*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -5*t + 4962, -t - 4*z + 261 + 735 = 0. Is 30 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 75876437 by 2069.\nAnswer: 36673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1712376?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 37 and 0.02.\nAnswer: 0.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - 0. Let r = -29 - -19. Let w be (-16)\/(-72) - r\/36. Sort w, p, 3 in descending order.\nAnswer: 3, w, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2, -2\/15, -0.1, 2\/42309?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - 32*r + 215. Give n(23).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30777151.\nAnswer: 23, 47, 71, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - 3146 = -28*m. Suppose -4*n - 6*k = -2*k - 180, m = 3*n + k. Calculate the greatest common divisor of 49 and n.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.089 less than -0.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -31 (b) 0.3918 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - v)*(-18*v**4 + 10*v - 10*v + (6 + 0 - 2)*(-2 + 2 - v**4)).\nAnswer: 22*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6907 is divided by 198.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = o + 4 + 31, u + 5*o + 19 = 0. Suppose -2*b + 266 = 2*r + 224, -5*b = 4*r - 108. Calculate the highest common factor of u and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 - -9 - 7)\/(-1). Suppose 6*h = 4*o + h - 5373, 4032 = 3*o - z*h. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 5*u + 160, -3*k + u + 19 = -101. Calculate the smallest common multiple of k and 56.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2772, 81, 134 in descending order.\nAnswer: 134, 81, -2772","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0037327063 rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-9)\/n*n\/(n*(n**(1\/4)*n)\/n))**44)**(16\/11) assuming n is positive.\nAnswer: n**(-656)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5472 + -5233. Is i a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -2, -5, 3, 14, 0 in descending order.\nAnswer: 14, 3, 0, -2, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 312761 divided by 42\nAnswer: 312761\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -11463183 divided by 11463183?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 3:07 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((594\/(-24))\/9)\/((87\/609)\/((-32)\/(-14))).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fjfjtfj. What is prob of picking 3 f and 1 j?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 1478 = 27122. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, 27, -14?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 5. Solve 3*o + 9 = -2*y, -o = d*o - 5*y + 40 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 25 in 9, 1\/6, 3\/7?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 12) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 8:35 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9)\/(-9)*(1 - -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -452 + 455. Solve 0*y - 8 = -n*w - 5*y, 0 = 5*w + 5*y for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-2)*20\/(-6). Let a = 43 + s. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**3 - 21*l**2 + 1140*l - 12665. Calculate j(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1789496.\nAnswer: 2, 19, 61, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) -1\/4 (c) -2\/9 (d) 0.2 (e) -283042\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75120 is divided by 18738.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 10, 17, 24, 31, 38, 45?\n\"Answer: 7*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 107*h - 5325 + 5860 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -102*z - 26 - 106*z + 23. What is the tens digit of x(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 343337?\nAnswer: 343337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2250)\/1000*2\/(((-8)\/80)\/((-1)\/1))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -943952 + 7?\nAnswer: -943945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*f + 23 + 3. Suppose -3*g = f*n - 4*n + 107, 0 = 3*n - 3*g - 153. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/45*((-270)\/(-12))\/15?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1544, 6176, 13898, 24710, 38612?\n\"Answer: 1545*l**2 - 3*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3732514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 563 divide 91245973?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 7:23 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u*u**23*u*u*u)*u)\/u)\/(u\/(u**27\/u)) assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.078 + 0.078. Which is the closest to w? (a) 0.02 (b) -5\/2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -48.97634 to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 236 a factor of 33784384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64*((-7)\/(840\/(-18)))\/((-7)\/((-105)\/9)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11.4 - 11. Which is the third smallest value? (a) -2 (b) w (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(4\/9)\/n*n*n*n\/(n*n**(-2\/3)*n))\/(n*n*n*n*n*n\/(n**(1\/10)*n*n)*n*(n*((n*n*n\/(n*n*n**5*n)*n*n*n)\/n)\/n*n)\/n) assuming n is positive.\nAnswer: n**(-71\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 times 1374976?\nAnswer: -39874304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85 - 7 + 24 + 7*o**3 + 21 + 26 + 21.\nAnswer: 7*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 251198659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 14*m + 27. Let n be (-2 - -3)*(-1 + 0) - 2. Let x be t(n). Calculate the lowest common multiple of (18\/30)\/((-1)\/x) and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2115742629.\nAnswer: 3, 7, 11, 13, 100649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 69337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17 + 17 - 12*d + (-1 + 0 + 0)*(0*d - d + 0*d).\nAnswer: -11*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 201 - 219.6. Let b = 27 + u. Let y = -2.4 + b. Is 0.3 < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**3 + 35*x**2 - 117*x + 85 = 0. Calculate x.\nAnswer: 1, 5, 17\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27118 - 7748 = 3*x - 5*s, -2*s - 19376 = -3*x. What is x rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -82, -3, 3, -25, 1 in increasing order.\nAnswer: -82, -25, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4*k + k - 75 = 0, -3*g - 3*k = 75. Does 4 divide (g\/12)\/((-2)\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (1 + 10 - 4)) + 5 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 2*z - 18 - 2, 3*g + z - 28 = 0. Suppose 0 = -g*n + 4*n. What is the remainder when n + ((-140)\/(-4) - 0) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7632, 5, 1, -21, -6 in decreasing order.\nAnswer: 5, 1, -6, -21, -7632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 276, 541, 802, 1059, 1312, 1561?\nAnswer: 1806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -q. Suppose -v - v = 12. Let b be (-6)\/(-8)*(-2)\/v. What is the nearest to 0.2 in q, 1\/3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 104649.944 + -105045. Let i = b + 395. Is i equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 5:29 PM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2. Let i(y) = -9*y**2 + 3. Let t(k) = 46*k**2 - 16. Let h(l) = 16*i(l) + 3*t(l). Calculate h(x(g)).\nAnswer: -6*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*c + 2475 - 4953 + 5*c + 2480 + 334*c**2 to the form y*c**2 + w + i*c and give y.\nAnswer: 334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 1520 + 11*g**2 - 741 - 4*g**2 - 761 - 99*g. What are the prime factors of l(18)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 643110 by -5.\nAnswer: -128622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zeqlgplqe. Give prob of sequence qle.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 229069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5566\/(-495) + 88\/36 + ((-6)\/5 - -1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 82 + 63. List the prime factors of d.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -147637?\nAnswer: -147632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of -v**5\/20 + v**4 + 2*v**2 - 7*v. Let m be g(12). Put 3, -5, m in descending order.\nAnswer: m, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 42691*z + 416. Let p(n) = -14231*n - 128. What is -4*a(i) - 13*p(i)?\nAnswer: 14239*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, r: 6}. What is prob of picking 2 r?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3997211, 7994394, 11991577?\n\"Answer: 3997183*y + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.9829994 + 0.1170746. Let d = -0.08 + -2.02. Let p = d + u. Round p to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 162 divided by 5\nAnswer: 162\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-236)\/295)\/((-7)\/210). Let x(c) be the second derivative of o*c + 8*c**2 + 0 - 2*c**3 + 1\/6*c**4. Solve x(m) = 0.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 167 - 167. Let y = -16 + 11. Sort 1, r, y in decreasing order.\nAnswer: 1, r, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39401022?\nAnswer: 2, 3, 19, 577, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 PM and 2:20 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*w**3 + 473 + 36*w**3 + 78*w**3 - 240 - 233.\nAnswer: 140*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 148\/213 + -2\/71. Let s(n) = 2*n**2 - 2*n - 2. Let l be s(-2). Let m be 1\/(-3) - l\/6. What is the second smallest value in m, -5, p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 w, and 1 o when three letters picked without replacement from {l: 2, e: 1, w: 1, y: 1, d: 7, o: 2}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 1)*(2*d - 3*d - d) - 2*d + 7*d + 1 + 12*d + 0 + 0 + d + (2*d + 2*d - 2*d)*(-1 - 2 + 1) in the form w*d + m and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d + 52 + 32 = 0. Let g = d - 2. Let t(l) = -6*l - 5. Let z(j) = 2*j + 2. Give g*z(k) - 3*t(k).\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/((-104)\/16) + (-21)\/6.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 - -2. Suppose -5*g + 144 - r = 0. Calculate the remainder when g is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 5 = -b - 14 - 26 - 4, 52*v = 1 - 1 for b.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*w + 767*w + 291*w - 141*w as j*w + l and give j.\nAnswer: 897","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 4*y**2 - 9*y + 3. Let s be 65*(-37)\/(-481)*(0 - 1). Calculate q(s).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -45*d**3 - 21*d**2 + 21*d - 21. Let f be 9 - 2 - 168\/6. Let i(b) = -9*b**3 - 4*b**2 + 4*b - 4. Calculate f*i(p) + 4*y(p).\nAnswer: 9*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-25)*p**(-27)*p\/(p**(-2\/43)\/p*p)*p*p**(3\/8)\/p assuming p is positive.\nAnswer: p**(-17399\/344)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72453?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 37 = -35. Let l = 19 - m. Let t = -1100.2 - -1100. What is the second smallest value in 0, -4, l, t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(325))*6 + (-4 + 1 + sqrt(325) - sqrt(325))**2)*-3 + -5.\nAnswer: -90*sqrt(13) - 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50953 and 116.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(112) + sqrt(112) + -2 + sqrt(112) + sqrt(112))*-2 + 2*(sqrt(112) - (sqrt(112) + 2)))**2 + (sqrt(112)*1 + 5 - (6*(2 + sqrt(112)))**2))*-5.\nAnswer: -14985 + 2860*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ywy when three letters picked without replacement from wyyywwwwwyyy?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**3 + 17*p**2 - 13*p - 13. Let h(u) be the first derivative of -u**4\/4 + 8*u**3\/3 - 3*u**2 - 6*u + 881. Calculate 6*b(t) - 13*h(t).\nAnswer: t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -125, -119, -113?\n\"Answer: 6*t - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -19\/5 <= -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1*3)\/((-6)\/44). Find the common denominator of 561\/156 + (-10)\/(-65) and -42*((-21)\/g - 1).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 594838076 to the power of 1\/3, to the nearest integer?\nAnswer: 841","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 0*w**3 + 0*w - w - w**3 + 5*w**2 + 6 + 4*w. Let t be f(5). Let h = 5 + t. Is 26 >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 121\/2 + -41. Calculate the common denominator of o and 27\/13.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39208.6751 - -4\nAnswer: -39204.6751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -1.1, -11, 979, 0.3, -2\/13, 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 5:23 PM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -275, -289, -321, -377, -463?\n\"Answer: -h**3 - 3*h**2 + 2*h - 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -93.3 - -654.3. Let k = 0.5556128 + -561.5783128. Let f = k + u. Round f to 3 dps.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3))**(-5\/2) assuming l is positive.\nAnswer: l**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -93 - (42 - (-9 + -11 - (-3 + -40))).\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -91*a**4*n**2 - 3*a**4*n + 132*a**2 + 4*a*n**2 wrt a.\nAnswer: -2184*a*n**2 - 72*a*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -239 + 239.5. Let z = -0.2 - -0.3. What is the third smallest value in z, s, -2\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -88367331\/511 + 172930. Let h = 4\/73 + b. What is the nearest to 0.1 in 0.5, -9, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2271*i + 6659 = -7692 - 126451 for i.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -201*m**2 - 18*m + 2. Let w(k) = -11*k - 8. Calculate w(n(l)).\nAnswer: 2211*l**2 + 198*l - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a2921 + 3?\nAnswer: a2924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 1 - 1)*(i + i + 2*i) - 2*i**2 + 0*i**2 + 3*i**2 + (7*i**2 + i**2 - 3*i**2)*(0 - 1 + 0).\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-23975)\/(-15))\/7 + 2\/3. Let f(a) = -11*a + 2*a + 11*a + z. Let c(g) = -2*g**2. What is c(f(l))?\nAnswer: -8*l**2 - 1832*l - 104882","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**3 + 3 - 2 + 5*j + 1 - 2*j to the form a*j**3 + z + w*j + y*j**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/25 of a century in years?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-26) + (-82)\/(-26). Suppose -4*c + 57 = 3*z, 0 = c + x*z - 4*z - 16. Let s be 69\/c + 4\/10. Solve 3*g = 4*y - 5*y + 17, s*g + 2*y = 30 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 806.4 - 925. Let i = r + 119. Which is the nearest to -4\/11? (a) i (b) -4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84991?\nAnswer: 84991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -55\/2 - -28. Sort -3, -1\/2, w in decreasing order.\nAnswer: w, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 6:07 PM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -465*q**5 - 670*q?\nAnswer: -9300*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 13531?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k. Let m(l) be the third derivative of 0 + 0*l - 1\/12*l**4 - 5\/6*l**3 - 16*l**2. Determine x(m(v)).\nAnswer: 4*v + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 9431*r. Let c(n) = 62*n. Calculate c(k(j)).\nAnswer: 584722*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 501072 by -19272.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -331 divided by 343\nAnswer: -331\/343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 896578 to the power of 1\/2, to the nearest integer?\nAnswer: 947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (925 - 122 + 195)*(5 + 0 - 3)*(-4 + 3 + 0)*(0*g + 2*g - g).\nAnswer: -1996*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7021 + 2896. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -111934b5?\nAnswer: -111934b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*m - 55*m + 740 = 0. What is the highest common factor of m and 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*5097.7.\nAnswer: -25488.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 17355, 69469, 156323, 277917?\n\"Answer: 17370*p**2 + 4*p - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -693 - 1591 = -501*p + 165*p + 1076 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*b**3 + 67*b**3 + 39*b**3 - 10*b**3.\nAnswer: 218*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (29 - (-8 + 19)) + (0 - (6 + 1))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5*d + 188 = 0, -3*u + 4*d = -d + 272. Let q = 29 + u. Let z = -37 - q. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 280129, 280324, 280519, 280714, 280909, 281104?\n\"Answer: 195*n + 279934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/((-84)\/182) + 14. Put -5, y, 70 in descending order.\nAnswer: 70, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z**3 - 3*z**3 - 6*z**3.\nAnswer: -9*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3*l**2 + 8*l**2 + 0*l**2. Let i(s) be the first derivative of 0*s**2 - 1 + 1\/3*s**3 + 0*s. What is i(u(f))?\nAnswer: 25*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -420.9*156.\nAnswer: -65660.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 + -2 + 2 + 2 - 7) + -1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-4.67.\nAnswer: -1.868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k - 4*b + 26, -2*k + 658*b - 251 = 609*b for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-5*(3*sqrt(91) + sqrt(91) - sqrt(91) - sqrt(91)) + sqrt(91))\/(sqrt(7) + (sqrt(252)*6 - sqrt(7)) + sqrt(7))*-3)*-1.\nAnswer: -27*sqrt(13)\/37 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**5 - 354*x**4 + 2076*x**3 + 28710*x**2 + 35991*x - 66420 = 0.\nAnswer: -123, -5, -3, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**3 + 272*r + 2*r**3 - 247*r.\nAnswer: r**3 + 25*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2983 times -74\nAnswer: 220742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47 - -24. List the prime factors of a.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 3:15 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -67*a. Let w(g) = -g + 1 + 0*g + 4. Let n be w(6). Is q(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31331?\nAnswer: 17, 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*w + 118*w - 416*w - 1047*w to n*w + j and give n.\nAnswer: -1330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 6. Suppose b*d = -2 + 6. Let f = d - -2. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 2*f + 4*r, -f - r + 17 = 3*f. Let u be (-23)\/(-4)*72\/f. Suppose 5*m = -u - 207. What is m rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122 (base 4) to base 12.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000908188058 rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 7 - 2. Let w(u) = -u + 1. Let m(p) = 7*p**2 - 5*p + 3. Let z(v) = -8*v**2 + 5*v - 2. Let d(t) = -3*m(t) - 2*z(t). Determine i*d(g) + 5*w(g).\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 672 and 6062.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -567*n**3 + 4*n**2 + 2*n - 1029. Let a(u) = -571*u**3 + 6*u**2 + 3*u - 1029. Let c(g) = -2*a(g) + 3*k(g). Differentiate c(z) with respect to z.\nAnswer: -1677*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + z + 8 = 0, -198*t + 197*t - 2*z + 9 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5\/7 (b) -8\/5 (c) -3\/4 (d) 0.1 (e) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(8\/1)*(-6)\/(-33)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 768.\nAnswer: 3840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24089?\nAnswer: 13, 17, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s - 10*s = -2*s. Solve s*n - 4*n + 12 = 4*c, 3 = 5*c + n for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(3\/16)*s**8*s)\/(s\/(s\/((((s*s**(-5))\/s)\/s)\/s)))**(5\/4))**39 assuming s is positive.\nAnswer: s**(11193\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.6 + 2.4. Let u = 14 + -17.4. Let x = 3 + u. Put y, x, -5\/4 in decreasing order.\nAnswer: y, x, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + w - 12. Let b be y(-4). Suppose 4*g + 5*s + 346 = 42, -g - s - 77 = b. Let a = g - -156. Calculate the highest common divisor of a and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -2*k + 4, -3*q - 4 - 22 = -4*k. Let p(r) = r**3 - 2*r**2 - 7*r + 5. Let j be p(k). What are the prime factors of (-1)\/4 - j\/(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v\/(v**(4\/7)\/v*v)))*v**3*v*v)**(6\/23)*((v**(-1))**(-2\/5))**3 assuming v is positive.\nAnswer: v**(2106\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29668 + -29656. Solve a = -n + 2*o, 2*n - 8*o + 12 = -7*o for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.481 + 1.519. Which is the fifth smallest value? (a) 3 (b) 109 (c) w (d) -5 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -2*t - 11 + 3, 5*m + 4 = -t. Suppose -d - 2*j + 61 + 10 = m, -124 = -2*d + 5*j. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1014 = 31*b + 21*b + 26*b for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**0*c**(4\/9)*c*c*c**(-10)*c*c**(-8) assuming c is positive.\nAnswer: c**(-122\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 361474, 361472, 361470, 361468?\n\"Answer: -2*m + 361476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 100*r + 112. Let u be m(14). Suppose -73*f + 87*f - u = 0. What is the greatest common divisor of 12 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(-14)))**(-5\/8) assuming q is positive.\nAnswer: q**(-35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7973, 7983, 7995, 8009, 8025, 8043, 8063?\nAnswer: 8085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 12:29 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -33468 to the nearest one thousand.\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -4, -3 - 7 = 3*m + 4*q. Suppose -70 = 2*j + m. Let x = j - -71. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 - 2*v)*(3 + v - 3) - v**2 - 2*v**2 + 2*v**2 + 2*v.\nAnswer: -3*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100012 (base 3) to base 16.\nAnswer: -f8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*k**2 + 4*k**3 - 22*k**2 + 2*k**4 - 1 - 4*k**3 as x*k**3 + d*k**4 + v*k**2 + m*k + r and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)*1*3 - sqrt(175)\/(sqrt(20)\/sqrt(4)))\/(sqrt(35)\/sqrt(20) - (sqrt(84)\/sqrt(3) - sqrt(7) - sqrt(7))).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-18)\/(-4))\/((-24)\/40))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y**3 + 65*y**3 + 86*y**3 + 2*y.\nAnswer: 146*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -r - 24 + 127, -5*r - 79 = -3*k. Suppose 8*c - 74 = 14. What is the highest common divisor of c and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of -5*s**9\/168 - s**5\/20 + 2*s**3 - 90*s**2. Find the third derivative of m(b) wrt b.\nAnswer: -1800*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-20)\/(-12) + -1)*(-18)\/(-4). Suppose -448 = r*y + 68. Let c = -79 - y. What are the prime factors of c?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1748167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -62 - 10?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -4509\nAnswer: 9018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102 and 162072?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 15 = 6*y, y - 73149 = -2*p - 73148 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003914338 to six decimal places.\nAnswer: -0.000391","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*y - 37*y - 22*y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*y**4 + 6*y**4 + 2*y**2 + 1 + 11*y**4 + (3*y**4 - 5*y**4 + 0*y**4)*(-3 + 2 + 0).\nAnswer: 7*y**4 + 2*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17208?\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 243.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.778097 micrograms to nanograms.\nAnswer: 4778.097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1642 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express a - 5*a - 3*a + 4*a as n + i*a and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01 + 2743.719336.\nAnswer: 2743.729336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.11 and 2180.\nAnswer: 239.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a day in hours?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -50*q**2 - 22*q + 22. Let i(x) = -7*x**2 - 3*x + 3. Suppose 3*w + 9 = 0, -223 = 5*n - 5*w + 6*w. Give n*i(t) + 6*z(t).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in years?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of 0 + 0*t**5 + 0*t - 5\/168*t**8 - 1\/3*t**3 - 82*t**2 + 0*t**7 - 5\/6*t**4 + 0*t**6. Find the second derivative of k(j) wrt j.\nAnswer: -200*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 3*f - 4798, -r + 956 = f - 630. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22011 (base 3) to base 9.\nAnswer: -264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-2\/13)*v*v**2)\/(v**(1\/4)\/v)**(-24) assuming v is positive.\nAnswer: v**(-184\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16807?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - -6. Suppose 2*t - 3*q + 14956 = 0, -3*q - c = -q. Let i = t + -916. Round i to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21383+-5034525\nAnswer: -5055908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + f**2 + f - 3. Let h be p(0). Let k(v) = 2*v + 5. Let w = -18 - -13. Let r be k(w). Put 5, r, h in ascending order.\nAnswer: r, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -22*h**2*v**2 - 159*h**2*v - 10*h*v**2 + 122*v**2 + v - 59 wrt h?\nAnswer: -44*h*v**2 - 318*h*v - 10*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33308 or 33312?\nAnswer: 33308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6746 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 44503 divided by 191?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 220, -4, 2, 4, 0, -25 in increasing order.\nAnswer: -25, -4, 0, 2, 4, 220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*b - 4 = 148*b + 4*l, 4*b - 12*l - 20 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1780 = -337*k + 134*k - 153*k. Which is the third biggest value? (a) -5\/858 (b) 1 (c) 0.2 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4570 + 4432*u - 4570 + 8694*u**3 wrt u?\nAnswer: 52164*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 1. Let z(t) = -28*t + 1. Determine -2*p(y) + z(y).\nAnswer: -28*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -34a - -2?\nAnswer: -348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 - 2*u + 0*u**2 - 4*u**2)*(3*u**3 + 5*u**3 - u**3).\nAnswer: -14*u**5 - 14*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10 - 18) + (783\/58 - 6\/4). Solve -g = z + 131 - 133, -5*z - 44 = -a*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1 + sqrt(500) + 4) - (((sqrt(500) - (sqrt(500) - sqrt(500)*-1)) + -5 - sqrt(500)) + (-2*sqrt(500) + sqrt(500) - sqrt(500)) + 2 + sqrt(500))**2.\nAnswer: -4524 - 230*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4701 + 5414. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.876 in -6, -0.5, 0.1, 29, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*b**4 - 2*b**3*p - 16*b*p + 327*p wrt b?\nAnswer: 12*b**3 - 6*b**2*p - 16*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -23331 and -0.04.\nAnswer: -23331.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or -1953?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -4*n**3 + 2*n + 1. Let a be g(-1). Let w(s) = -a*s**2 + s**2 - 3*s + 5 + 3*s**2. Is w(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n + 30. Let z be g(-22). Let c = 15 + 10. Let z*y**2 - 7 - 13*y**3 + 48*y + y**3 - c = 0. Calculate y.\nAnswer: -2, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1744039046 rounded to the nearest one million?\nAnswer: 1744000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 374 and 578.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 5 - 4)*(20*i**2 + 3*i - 1366 - 1370 + 2728).\nAnswer: 60*i**2 + 9*i - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1254575 and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -6*z - 15. Determine g(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + 10*z + 1. Let f be a(10). Solve -5 = 2*t + f for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20073413500 rounded to the nearest one million?\nAnswer: 20073000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*q + 5*q. Suppose 3*p + q = 4*p. Suppose p*m - 6 = 6. What is the remainder when 15 is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7360 - -2752. Does 128 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 8*a + 135. Suppose 2*o = -o + 60. What is the units digit of (a\/(-15))\/(6\/o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2*v + 2 + (0*v + v - 2*v)*(-4 - 1 + 3) + v + 4*v - 4*v - 2254 + 2254 - 146*v + 0 + 2*v + 0 to h*v + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 7:26 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v + 0*v**5 + v**5 - 3*v**5 + (-v + v - v**2)*(82108 - 1389*v**3 - 82108).\nAnswer: 1387*v**5 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 12:20 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -0.4, -4, 4 in descending order.\nAnswer: 4, -0.4, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 n when four letters picked without replacement from {s: 2, n: 3, b: 3}?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-4164193)\/990)\/(-83) + (-2)\/(-20) + 6\/27\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.48 - -1.38. Suppose 0*z - z + 29 = -5*r, 0 = -5*r - 25. What is the biggest value in z, -1, k, 0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - 12*u + 8. Let m be x(12). Solve 2*y - 10 = -m for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26.49504 + 11.51112. Let p = k + -38. What is p rounded to 4 decimal places?\nAnswer: 0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(18\/(-12))*(4 - (-26)\/(-4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/5*625\/(-750))\/((-5)\/(530\/(-4)))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4\/11 (b) -0.1 (c) 1\/7 (d) 5\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -474 divided by -6\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 90 + -92. Let w be ((2*-2)\/1)\/(f\/12). What is the biggest value in 3, -2\/7, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 351.17 + -350.78. Which is the closest to 0? (a) 74 (b) t (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3193, -3195, -3201, -3211?\nAnswer: -3225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.5 - -1.5. Let x be (-8)\/66*3\/2. Sort x, t, 2\/7.\nAnswer: t, x, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129529692 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 4:58 PM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*f - 17*f - 16 = 0. Calculate the remainder when 7 + (5 - -164) + 2\/f is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101685 - -35939439?\nAnswer: 36041124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, y: 1, w: 5}. What is prob of picking 2 b?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29661253 is divided by 20456?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -13*r + 15. Let t(d) = 9*d - 10. Let z(b) = -7*t(b) - 5*v(b). Calculate the remainder when 88 is divided by z(18).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/6*(-318)\/742)\/((-26)\/(-7)).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2. Let k(v) = -6*v**2 + 4. Let b(h) = 11*h**2 - 9. Let u(f) = -4*b(f) - 9*k(f). What is w(u(r))?\nAnswer: 100*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -10*x + 8. Let q be c(-6). Let b be 1\/4 - (-2)\/(-8). Suppose 5*h - q - 62 = b. Is h a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-70))\/(33\/(-77)). Which is the smallest value? (a) -0.1 (b) 0.23 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a\/(a\/(a\/a**(1\/4))))))\/a)\/(a*a*a*a**(1\/13)*a)*a**(2\/31)\/(a*a\/(a\/(a*a**(2\/61)\/a))) assuming a is positive.\nAnswer: a**(-520687\/98332)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + c**2. Let m(g) = -5*g**3 - 7*g**2 - 1. Suppose 30 = 3*d - 0. Suppose -2*w = t + d, 2*w - 2*t = 4 - 20. Calculate w*y(i) - m(i).\nAnswer: -i**3 + i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2. Let w(x) = 81944*x**2. Give w(m(b)).\nAnswer: 81944*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m + 652 + 703 - 1306 for m.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n - 4. Let m be i(-8). Which is smaller: -23 or m?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/27*1)\/((-6578)\/2691). Let x = 2 + -1.6. Which is the closest to 0? (a) q (b) -0.2 (c) x (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1*(-4 + (sqrt(832) - (2 + sqrt(832))) + (sqrt(832) - (-6*(sqrt(832) - (sqrt(832) - sqrt(832)*-3 - sqrt(832))) - sqrt(832))))*6)**2*-5.\nAnswer: -14981120 - 153600*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (4 - (2 - -1)) - -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 1:47 PM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 6*n - 1. Suppose 378*y - 328*y = -250. Let i(u) be the second derivative of u**3\/2 - u. Give y*i(l) + 2*q(l).\nAnswer: -3*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 4:49 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 - 40*h - 62. Let s be u(-38). Let b(r) = -r**3 + 8*r**2 + 8*r + 11. Let x be b(9). Solve -s = -x*y - 8 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s - 15. Let h be t(-10). Suppose 3*w = h*w - 4. Which is the smallest value? (a) w (b) 4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 3:59 PM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1360 and 5.\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + 5)*(-10635)\/(-45). Suppose -2*b = -b + 5*p - 687, p + a = 2*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 6*c - 23. Let r be p(4). Solve -3*d = 4*s + 17, -2*d = -d - r for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/(sqrt(2)*-1*-1 - sqrt(2) - sqrt(2)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jnh when three letters picked without replacement from {z: 2, i: 2, n: 1, b: 1, h: 1, j: 2}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + u + 1518, -2*k = -0*k + 3*u - 3036. Let z = -12185\/8 + k. Find the common denominator of z and -73\/57.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 71, 1\/10, 2, -10 in decreasing order.\nAnswer: 71, 9, 2, 1\/10, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -11.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -65*o**2 + 50*o**2 + 0*o**3 + o**3 - 4 + 2*o. Let h be v(15). Let z = h + -21. Calculate the smallest common multiple of 11 and z.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -561 - -834. Does 21 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71605?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 328 by 328.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**2 + 3*j**2 + 2*j**2 - 4*j**2 + 3*j**2 + 3*j**2 + 5*j**2 - 3*j**2 - j**2 + (0*j + 4*j - 3*j)*(3 - 3 + 2*j).\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 3*u + 797. Let p be y(0). Let t = p + -203. What are the prime factors of t?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -9434, -9689, -9944, -10199, -10454, -10709?\n\"Answer: -255*o - 9179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/55 (b) 3 (c) 0.5 (d) -2\/3 (e) -952 (f) 16 (g) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -882738*x**6 - 322566*x**2 wrt x.\nAnswer: -105928560*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160324 is divided by 40067.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + ((-2)\/(-6))\/((-3437)\/(-1473))*273?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35 by 25.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -7*h**3 - 10*h**2 + h**3 + 9*h**3 + 8*h + 17*h**2 - 4*h**3 = 0.\nAnswer: -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 37\/5 of a millennium?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+200937456889535\nAnswer: 200937456889535.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 1484303*z + 10390130. Calculate f(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**4 - r**2 - r. Let z(k) = -9*k**4 + 5*k**2 + 5*k + 30. Let c(l) = -5*t(l) - z(l). What is the derivative of c(v) wrt v?\nAnswer: 16*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + v + 1. Let u(n) = -4*n**3 - 7*n - 7. What is -u(l) - 5*z(l)?\nAnswer: -l**3 + 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/5)\/(3\/15)*(-9824)\/(-88416).\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.223412l?\nAnswer: 4223.412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -142286.76 rounded to the nearest 100?\nAnswer: -142300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -377*d = -429*d + 52, d - 1 = 4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4 (b) -251 (c) 1\/3 (d) 1\/5 (e) 0.08 (f) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -19913 minus 4056127?\nAnswer: -4076040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*r - 2*r + 2*r**2)*(-1 + 1 - 2) + 3*r**2 - 4*r**2 + 0*r**2 + 0*r**2 - 5*r**2 + r**2)*(4*r - r - 4*r)*(r + 0 + 0).\nAnswer: 9*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000045537769 to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 78097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -122151 (base 7) to base 8\nAnswer: -53554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 648*t**3 + 6 + 0*t**2 + 0 - 338*t**3 - 6*t**2 - 311*t**3 - 25*t to the form v*t + i + p*t**2 + z*t**3 and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 270 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2668232?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -18 - 18. Suppose 4*t - g*t = -14305. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62647*-0.3.\nAnswer: -18794.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 1621 divide 7923190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (0 - -2) + -8.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -75, -50, 33, 204, 493, 930, 1545?\n\"Answer: 5*m**3 - m**2 - 7*m - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of m**5\/12 + 19*m**4\/6 - 23*m**2 - 1. What is the second derivative of f(x) wrt x?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvltkvlkkhr. What is prob of picking 1 l and 1 h?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/5)\/((-2)\/20). Let c be (q\/6)\/((-2)\/6). Let w(t) = -t + 1. Determine w(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2503555616?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/2 + (3\/4)\/3. Which is the closest to 0.1? (a) x (b) 2\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + -3*2 + 0. Let o(q) be the first derivative of q**4\/4 + 5*q**3\/3 - q + 39. Determine o(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 6) + 3 + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -49.56 + -0.44. Let a = y + 49.4. Is 1\/2 >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 257 divide 1194279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 5*f = -5, -85*l = -81*l + 3*f - 25 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -98, -72, 134, 580, 1326?\nAnswer: 2432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 14667 + 340*c - 14667 as l*c + o and give l.\nAnswer: 340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1150 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12014 - -15995. Is 3 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = r + 2*r - 2*w, 4*w + 19 = 5*r. Suppose r*y + 0*y = 4*a, 0 = 3*a + y. Suppose a = -14*p + 15*p - 28. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/8*((-3)\/(-42))\/(36\/(-378))*9.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 1\/3, 2, 0.01348, -4 in decreasing order.\nAnswer: 2, 1\/3, 0.1, 0.01348, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 + 9 - -24) + (0 - 2 - -2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 452*r**2 + 9*r. Let k(j) = -113*j**2 - 2*j. What is 18*k(p) + 4*t(p)?\nAnswer: -226*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235495745?\nAnswer: 5, 47099149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9904.152 decades?\nAnswer: 1188498.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156*n**2 + 2*n**5 + 2*n + 156*n**2 - 4*n**3 = 0. Calculate n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k**2. Let d(a) be the first derivative of a**6\/360 - 13*a**3\/3 + 16. Let w(m) be the third derivative of d(m). Determine w(v(p)).\nAnswer: 16*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101 - 2110002022210220?\nAnswer: -2110002022210112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 798.\nAnswer: -1\/399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-77)\/(-2541)*(-42)\/(-7).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19607465\/342 - 57332. Find the common denominator of -155\/342 and x.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 32*d. Let z(j) = 8629*j + 1783. Let h(x) = -3*v(x) + z(x). Differentiate h(b) wrt b.\nAnswer: 8533","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 5:08 AM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 0. Let a = -1 + i. Let u = -151 + 1055\/7. Is a greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.460828 meters to micrometers.\nAnswer: 5460828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -2301?\nAnswer: -2302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 506 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 25 = -8*g, -3*g = -4*l - 23. Let v be 1\/l*(1 - 5). Is 11 a factor of (2\/v)\/(4\/44)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6 + (-8 - -1) + 3. Suppose 1090 = 3*l + c*d, -2*d = l + 3*d - 346. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**3 - 29*q**2 + 17*q - 104. Let n be b(14). Which is smaller: n or -306\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 13*y + 32. Let l be k(-9). What is the smallest value in 8\/3, 3\/8, 0.3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 12:15 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8904873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -92 by 4001.\nAnswer: -92\/4001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 21*i**3 + 27*i**2 + 40*i - 63. Determine s(-3).\nAnswer: -507","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/3 of a year in months?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4703*q**2 - 2353*q**2 - 2353*q**2.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-1 - 5) - (-1 - 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002594505 to 5 dps.\nAnswer: -0.00259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4103 (base 6) to base 5\nAnswer: -12103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7286257 to the power of 1\/2, to the nearest integer?\nAnswer: 2699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/12*51\/(-17)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 = 27*o + 451. What is the tens digit of 12\/o + (-9788)\/(-28)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -45908772.2 not equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33496?\nAnswer: 2, 53, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 1. Let n(d) = 4*d**2 + 2*d + 1. Let w be n(-1). Let b(y) = -4*y + 1 + q*y + 5*y**w + y. Give b(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 889311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*w + 61*w = 585. Let h = 17 - w. Solve 0 = h*m + m + 3, -4*t - 4*m - 12 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - r - 2*r = 179, 0 = -5*r + 15. Let s(f) = 23*f**2 + f. What is the remainder when y is divided by s(1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 18\/1187?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8561 is divided by 373.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 16161*g + 64691. Give v(-4).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, f: 10, q: 2}. Give prob of picking 2 f.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - 7*i - 5. Does 3 divide y(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.18 minus 0.215522376?\nAnswer: -3.395522376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 3 + 3)*((0 + 2 + 6)*(0*s - 2*s + 3*s) - 2*s + s + 2*s) to the form d*s + y and give d.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hdtpeeheqttdh. What is prob of picking 1 d and 1 e?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 78.4 + -1.4. Let k = 77.00000066 - s. What is k rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d + 3. Let c be z(4). Let w = c + -15\/2. Let p = -318 + 631\/2. What is the closest to -2\/7 in 3\/5, p, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10101101010110111100 (base 2) to base 9.\nAnswer: -1302033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(10\/8*10\/50)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}