diff --git "a/data/dm_maths/full_data_2/10342_11255.jsonl" "b/data/dm_maths/full_data_2/10342_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10342_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let j(w) = 36*w - 2888. Calculate j(80).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1806, 1940, 2050, 2136, 2198, 2236?\nAnswer: 2250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (9 - -2) + (-14 - -4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from sscsbbcsccccsbssb.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -22*d**4 + 3*d**2 + 3*d. Let f(p) = -21*p**4 + 2*p**2 + 4*p. Let g(c) = 3*f(c) - 2*i(c). Find the second derivative of g(o) wrt o.\nAnswer: -228*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k - 2*k - k)*(-3 + 2 + 3) - 43697*k - 31681*k + 71072*k + 110330*k + 91550*k + 160247*k.\nAnswer: 357823*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13356 - -351136?\nAnswer: 334450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 85121 to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, b: 7, n: 1, d: 6}. What is prob of picking 1 n, 1 b, and 2 d?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3909, -7949, -12001, -16071, -20165, -24289, -28449, -32651?\n\"Answer: -m**3 - 4033*m + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 5*m = -5, -18*m = 5*x - 23*m - 15. Let a(b) = 2*b**3 + 5*b**2 - 5*b - 8. Let j be a(6). Is (j\/28)\/(x\/2) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 6\/(-24))*(-20)\/(-15)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 5*k - 2. Let o be t(2). Suppose -2*i + 8 = 0, 3*y + 56 = -5*i + 61. Put y, -10, 3, o in increasing order.\nAnswer: -10, y, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9173891?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 4)*((0 + 2 + 0)*(2 - 2 + 2*n) + 6 + 5*n - 6).\nAnswer: -27*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 130, 277, 444, 637, 862?\nAnswer: 1125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 3 - -32*(-31)\/62?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 311200.\nAnswer: 2, 5, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1010085 or -1010087?\nAnswer: -1010087","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a4 - 1617?\nAnswer: -1523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*g + 78 + 207 + 79. Calculate the greatest common divisor of g and 5068.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -25307290 or -278380182\/11?\nAnswer: -278380182\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 645?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.138727119 and 0.060704.\nAnswer: 0.199431119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22153?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 4*z**2 + 5*z + 2. Let x be u(5). Suppose -3*f + o + 3 = 0, -4*f - 2*o + 23 = 9. Suppose t - x - f = 0. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1305)\/(-20) - 10)*16 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18256)\/(-11736))\/((3\/18)\/((-12)\/(-4)))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7)\/(-5) + 69748\/(-3445) + 19. Let s = -0.8 + -2.2. Let d be (-20)\/7 + 2 - -1. Which is the closest to n? (a) s (b) 0 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 260006633 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 - 28. Let d = i + 7. Is 35 + (0 - (d - -1)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1029 is divided by 254.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/60 - 8\/60. Let c be (-1 - 11)*((-200)\/(-6) - d). Round c to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 3*h, 7*l - 2*h = 3*l. Let w be (-2)\/(4\/(-6)) - l. Suppose -b + 41 = -2*o - 2*o, w*o = 4*b - 99. List the prime factors of b.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 + 12 - 6)*21\/14?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1724 - 901. Let v = -444 + g. Suppose u = 2*u + 1, -c - 2*u = -v. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t - 3*m + 5 = -3*t, -1 = -t + 5*m for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 19*p**2 + 36*p - 24. Suppose -3*u + 58 = 204*l - 199*l, 4*l + 3*u = 41. Give v(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 31\/2 of a kilogram?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -0.5, -1\/5, 1008, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of -v**5\/60 + 5*v**4\/12 - 3*v**3\/2 + 805*v**2. What is h in c(h) = 0?\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10110 and 12.\nAnswer: 20220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -2507241.\nAnswer: -250724.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {c: 3, d: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {h: 10, w: 2}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v**2 + 7*v - 7*v)*(-2 + 3 + v - 3*v).\nAnswer: -8*v**3 + 4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n. Let w(a) = -2*a. Let y(o) = o. Let m(v) = -2*w(v) - 7*y(v). What is m(i(l))?\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223361 is divided by 803.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 13*h + 5. Let a(y) = 7*y + 2. Let k(r) = -5*a(r) + 2*n(r). Let f(x) = 9*x - 10*x + 3*x. What is f(k(o))?\nAnswer: -18*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4 + 276*q**3 + 12906*q**2 + 216216*q + 539784.\nAnswer: 2*(q + 3)*(q + 42)**2*(q + 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9\/7 in 2\/67, -0.04, 2\/49, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 140 and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 - 1277.3\nAnswer: -1276.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 14*f - 4*f. Let i(q) be the first derivative of 5\/3*q**3 + 4 + q**2 + f*q + 1\/4*q**4. Give i(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of -7*v**4\/6 - 17*v. Let a(u) = -3*u**2 - 2*u**2 + 3*u**2 + u**2. What is a(w(s))?\nAnswer: -196*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000168341741 to seven decimal places.\nAnswer: 0.0001683","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**3 + 2*a**2 - 3*a - 5. Suppose -2*h - 2*s = 14, 16 = -4*h - 5*s - 14. Let w be b(h). Suppose -2*y = -304 - w. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 125744?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - 0. Solve -g = 4*g - x for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 191861?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 42 + 37. What is the remainder when 2 is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -301 (base 4) in base 15?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/1008 and -19\/18.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 <= 55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-15)\/18)\/((-166)\/(-84) + -2). Suppose 3*m = 6 - 0. Suppose -3*x = -m*x - 2. Solve 0 = -5*p + 25, -5*c - 3*p = x*p - t for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 8*y**2 + 1. Let s = 3 + -4. Let a(n) = -n**2 - 1. Let u(m) = s*c(m) - 4*a(m). Let f(t) = -9*t**2 + 7. Give -3*f(b) + 7*u(b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-1*(2 + -3)). Let m be (-27)\/(-333)*(-1 + (-1)\/(-3)). Which is bigger: w or m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01 + 13.8.\nAnswer: 13.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 11:25 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/11 + 560\/55. Let v be (o\/(-4))\/((-2)\/4). Suppose -6*f + 12 = -4*j - f, -j - v*f = -22. Are -1 and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 t when three letters picked without replacement from tslltttllllldtslsl?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s + 4*j + 8, 0*j - j = 3*s - 10 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -79.38 + -0.62. Let c = y + 80.033. Let m = -0.453 + c. Round m to 2 decimal places.\nAnswer: -0.42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 9 = d, -l + 6*d - 2*d = -6. Let b(w) = w. Let p(c) = 2*c. Let f(y) = l*p(y) + 20*b(y). What are the prime factors of f(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/4 - 107446*w + 429780.\nAnswer: (w - 429780)*(w - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 203654, 203964, 204276, 204590?\nAnswer: 204906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (8\/2)\/(4*7\/(-14))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-183)\/(-2) + (-562)\/(-1124))*(-4)\/(-112).\nAnswer: 23\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39167*q = 39314*q - 5439 for q.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -980.4116 + -0.5884. Sort -4, k, 5 in descending order.\nAnswer: 5, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 42\/9 - (-2)\/6. Suppose 5*t + 0 = -3*r - 6, 6 = -4*t - 3*r. Suppose i*y - 116 - 64 = t. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/65, 1\/4, 3, 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/8 of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 198120 divided by 20.\nAnswer: 9906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8 - (-2 - -16) - -214. Let t = 210 - x. Which is the closest to -15? (a) t (b) -3 (c) 2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-20)*(36\/33)\/(-3)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 317 and 1268.\nAnswer: 1268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 60281 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 65 by -1.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 10*t**2 - 13*t - 24. Let q be u(8). Suppose 11*k - 16*k - a + 5426 = q, 5*k - 4*a - 5446 = 0. What are the prime factors of k?\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 35*n**2 + 122*n - 68. What is the units digit of g(32)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57887720?\nAnswer: 2, 5, 11, 17, 71, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (6 + 0 - 17) + -1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1350)\/150 + 30\/(0 + -10)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of a**6\/15 + 1369*a**4\/6 - 427*a**3\/3 + a**2 - 36*a - 2. Find the second derivative of p(f) wrt f.\nAnswer: 24*f**2 + 5476","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/880*-405 - 6\/(-22).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53272.9 micrometers to nanometers.\nAnswer: 53272900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/5))**(-8\/11)\/(p**2)**(-2\/39) assuming p is positive.\nAnswer: p**(844\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1104?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**5 - 17*z**4 - 42*z**3 + 414*z**2 + 891*z - 3645.\nAnswer: -(z - 3)**2*(z + 5)*(z + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -173 + -79. Let g = 263 + o. Calculate the smallest common multiple of -2 + -2 + (-68)\/(-2) and g.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*k + 9*k - 76 = 0. Let t(o) = 4*o + 2. What is t(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 19 + (-1)\/(5\/10). Solve -p + 2 = 5*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 8, -5\/4, 25, -0.2, -33, 3\/7?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2772 + -1747. What is the greatest common factor of 41 and a?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/5 + 129*i**2\/5 - 5780*i + 144780.\nAnswer: (i - 95)*(i - 30)*(i + 254)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6714453 and 549?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0141 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of u**5\/20 - 3*u**4\/4 - 5*u**3\/3 + 2*u**2 - 3*u. Let x be z(10). Solve g = -x*g + 25 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-99)\/(-24)*((-16)\/(-22))\/((56\/308)\/1).\nAnswer: 33\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1440123333 (base 5) to base 15\nAnswer: -50aa63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + f = -18, -b = 5*f - 1348 + 1368 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x + 3*x + 0*x + (-1 + 1 + x)*(-110 - 33 + 56).\nAnswer: -84*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/24 and (-446)\/1020 - (714\/70 - 10).\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a - 65 = 2*a, -14*f - 606*a - 69 = -607*a for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 67 + 9)*(2 - 2 + 1)*(-3 + 3 - i**2).\nAnswer: -66*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4*(-13)\/(-10))\/(78\/(-195)). What is the greatest common divisor of o and 47?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 1325897?\nAnswer: -397769.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**2. Let t(n) = -9*n. Let o(w) be the third derivative of w**4\/12 - w**2. Let v(m) = 21*o(m) + 5*t(m). Calculate j(v(r)).\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-158*p**2 + 53*p**2 - 134*p**2)*(-2 - 1 - 1)*(2 - 2 + 2*p) to the form b*p**3 + z*p**2 + t + c*p and give b.\nAnswer: 1912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 80900 - 9.8?\nAnswer: 80890.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1650711037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -106 divided by -3\nAnswer: 106\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 3. Let z(b) be the second derivative of -9*b**5\/5 - b**4\/6 - b**3\/3 - b**2\/2 + 4*b. What are the prime factors of z(q)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p + 11. Let o be s(3). Solve 3*f + f = o for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-24)\/10)\/(3\/(-15))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - 7*b + 2. Let u = 498 + -420. Calculate the remainder when u is divided by o(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwswswdwswswwwwdsws. What is prob of sequence sdws?\nAnswer: 55\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000 (base 2) in base 8?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 + 25. Let l(h) = -h**3 - 11*h**2 - 19*h - 28. What is the remainder when l(z) is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*o - 1481024 + 1203187 - 1523143 = 0. What are the prime factors of o?\nAnswer: 2, 5297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b\/(b*b*b**6))\/b*b)\/(b**(-16\/9)*b) assuming b is positive.\nAnswer: b**(-47\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = -2*j - 44. Let u = j + -45. Let w(c) = c**2 + 4*c + 4. Determine w(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1163 - -1178. Solve -3*m - 5*h = -11, 3*h = -5*m - 2*h + c for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-198)\/(-8)*(-210)\/(-1155))\/((-6)\/(-8))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 5*o**2 + 7*o - 11*o**2 - 2 - 4 - 4*o. Let g be i(6). Solve -8*b + 4*b - 16 = -4*p, 5*p - g = -3*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - h - 41000. Let l = 4 + 1. Suppose -x = 5*u - l, x + 2*x = -2*u + 2. Let j be r(x). Round j to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(14) - (sqrt(56) + sqrt(280)\/sqrt(5))))\/((sqrt(4) + sqrt(44)\/(sqrt(22)\/sqrt(2)))\/sqrt(2)).\nAnswer: 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11583114*h**3 - 11583114*h**3 - 10324*h**5)*(-2 - 2 + 3).\nAnswer: 10324*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -90511, -90535, -90559, -90583?\nAnswer: -90607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120237 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 347 divide 2676411?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 + 43. Let x = 71 - w. Which is the second biggest value? (a) 3 (b) x (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2342, 0, 1 in decreasing order.\nAnswer: 2342, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n + 7 = 9*n. Let h(a) = 11 + 7*a + n*a - 11*a. Does 6 divide h(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181*h - 16 = 177*h. Factor -1\/5*z**h + 0*z**3 + 0*z + 2\/5*z**2 - 1\/5.\nAnswer: -(z - 1)**2*(z + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**2 - 1655800*f - 6623168 = 0. What is f?\nAnswer: -827896, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 483861 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/9))**(-3)*c**(8\/5)*c**26)**(-7) assuming c is positive.\nAnswer: c**(-2933\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/3))**43\/(h**(1\/3)\/h)**19 assuming h is positive.\nAnswer: h**(124\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -168254 (base 10) in base 14?\nAnswer: -45462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - 3) + -1 - -7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 55009228 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5113964?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 69 (b) 5 (c) 165 (d) -3 (e) 0.3 (f) 0.1 (g) 1.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, a: 8, x: 6, n: 2, o: 1, l: 1}. What is prob of sequence axnb?\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8737?\nAnswer: 8737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133582 is divided by 506?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 8*u**2 - 7*u - 9. Let r be p(-7). Let d = -17\/2 - r. Let a be ((-5)\/((-50)\/(-8)))\/(16\/(-40)). Is a less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-690)\/(-276)*26\/5. Solve r + 4*r - b = 3*u, 14 = 2*r + u for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s - 3. Let p(d) = 1. Let b(r) = -3*p(r) - y(r). Let f(q) = -12*q**2. Give b(f(n)).\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-3))\/((-9)\/(-2943)). Suppose 1273 = 3*r - 32. Suppose -106*j = -n*j + r. Is j a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of 13*g**4\/2 + 8*g**2 - 1. Let x(c) = 2*c + c - 2*c**3 + 7*c**3. Let d(j) = -3*q(j) + 16*x(j). Factor d(v).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4985\/(-194415)*((-3)\/9)\/((-21)\/54).\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9937716 and 16797.\nAnswer: 109314876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 5*i - 1. Let y be x(4). Sort 6, 1, y.\nAnswer: y, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2*((sqrt(133)*-1 - sqrt(133))\/sqrt(7))**2*-3 + 5*(4 + sqrt(1900)*2)).\nAnswer: -2856 - 600*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 341?\nAnswer: -339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)*4*2 - (sqrt(6336) + -2 - sqrt(6336)).\nAnswer: 2 + 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-6)\/(-4)*(-2)\/6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus 22593620.5?\nAnswer: -22593620.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 + -38. Let c be 1380\/40 - 3\/i. Let q be (-40)\/(-3) - 12\/c. Solve 2*k - 10 = -0*k - 4*y, -3*k = -y + q for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 3*i**2 - 4*i + 3. Let d be z(3). Let a(n) be the third derivative of -n**4\/24 - n**3 + n**2. What are the prime factors of a(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187607?\nAnswer: 7, 26801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2026411241 to the power of 1\/3, to the nearest integer?\nAnswer: 1265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -14, 3, 0.5?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -62*l**2 - 2*l**2 - 33*l**2 - 171*l**2 in the form y + c*l**2 + v*l and give c.\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 7:23 AM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of 2*g**2 + g + 1\/3*g**3 - 2. Let w be q(-4). Which is the nearest to 0.1? (a) -5 (b) w (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*p - 20*p - 18*p**2 + 6*p + 4.\nAnswer: -18*p**2 - 24*p + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 1722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 9. Solve -4*g - x + 5 = g, -g - h*x = -10 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6159 by -2053.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/56 - (-794936)\/64 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 + 0.2. Let g = 33\/14 + -6\/7. Which is the biggest value? (a) g (b) f (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -w**3\/4 + 213*w**2\/2 - 11235*w - 22898 = 0.\nAnswer: -2, 214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen fifths of a millennium?\nAnswer: 31200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 4*j + 4*k, j - 4*j + 10 = -2*k. Suppose -4*b = -m - 2, 4*b + 8 = 2*m - 6*m. Sort b, j, 1 in descending order.\nAnswer: j, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -147.78 - -54541.78. Let w = 54390.9987 - o. Let k = -3 - w. What is k rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 0.3, -66442.4, -1, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2. Let f(t) = 49*t**2. Determine f(x(m)).\nAnswer: 49*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-100)\/(-16)*(8\/16 - (-1)\/(-10))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a millimeter in micrometers?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/6 (b) 34 (c) 1 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*r + 186 - 3268. Let d = r - 130. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178 = -s - 4*t + 118, -t + 557 = 2*s. Let w = 281 - s. Solve -5*o + 4*g - w = -28, -13 = -o + 5*g for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-2))\/((-18)\/(-16)). What is the biggest value in 0, 0.2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of u**5 + 135764*u**3 - 2*u**2 - 138753*u - 3 wrt u?\nAnswer: 60*u**2 + 814584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3 + (0 + sqrt(11))**2 + 2 + 3 + (-4 + sqrt(396) - sqrt(396)) + sqrt(396)) + -4.\nAnswer: 41 + 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2485 and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of 2*o**3 + 3*o**2\/2 - 27*o. Let n be h(2). Is 6\/n - (-18485)\/45 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - 2 - 16 - -20\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5*t + 13 = -0*u, -3*u + t = -7. Let w(d) = -d - 8. Let f be w(-8). Suppose -q = -f*q. Solve p + 4 = u*i, 3*i - 14 = -q*p - 4*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 955 - 1915. Let k be z\/165 + (2\/(-11))\/1. Let u(c) = -c**3 - 6*c**2 - 4*c + 2. Let o(g) = 2*g**3 + 13*g**2 + 9*g - 4. Give k*o(a) - 13*u(a).\nAnswer: a**3 - 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2718 + 2718 - 42*z)*(0*z**2 - 2*z**2 + 0*z**2).\nAnswer: 84*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 21 = -0*n. Suppose 3*q + 2*k + 8 = -6, 0 = 3*q - 5*k + n. Let h(r) = 2*r**2 + 6*r. Calculate h(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(45\/(-5))*3\/(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (8 - 10) - 10\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 510 and 96.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2 - 4*p**2 + 2. Let j be (-350)\/(-98) + (-6)\/(-14). Let z(x) = j*x - 3*x - 3*x. Determine z(v(m)).\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 4*s. Suppose -4*z + 2 = 2*j, j - 5*j + 3*z + 37 = s. Suppose 0 = 2*m - j + 3. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -4, 8\/7, 3, -3 in ascending order.\nAnswer: -4, -3, 1\/6, 8\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 545228177 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 4:23 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 768189509?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 3:45 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 3, 0.14, 5?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -13, 2\/21, 0.2, -2, 2\/13, -0.17?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(704) + (4*(sqrt(704)*-2 + sqrt(704)))**2 + -1.\nAnswer: 8*sqrt(11) + 11263","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15*28\/((-1848)\/(-11))*(-84)\/(-5).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126)\/sqrt(6))\/sqrt(7) + sqrt(21)\/sqrt(7)*4)**2.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of 203*m**6\/30 - m**5 - 245*m**4\/4 - m**3\/3 - 6393*m. Find the third derivative of t(l) wrt l.\nAnswer: 4872*l - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 229 = -4*k - 3*t, 4*k - 2*t - 214 = 0. Suppose -m + k = 2*b - 0*m, 3*b + 3*m = 78. Calculate the remainder when b is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 1 = -4*u, 2*c = 5*u - 5 + 3. Solve -4*a - 2*n + 11 = n, -2*a - 5*n + 23 = u for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3230?\nAnswer: 2, 5, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 1 + 1 + -3. Suppose i - 3 - 7 = 0. Let c = x + i. Is c a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -u**5\/20 - 2*u**4\/3 - 3*u**3\/2 + 2*u. Does 4 divide i(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 4*j = 26708, -x - 4*j = -2*x - 5356. Let p = -106901\/20 - x. What is the common denominator of p and (-384)\/99 + 4\/(-6)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -1140.\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46 + -44. Is (1451 - -15)*x\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13281*f = 13332*f + 102 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 659690967.\nAnswer: 3, 13, 17, 995009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -1312.\nAnswer: 131.2","meta":{"dup_signals":{},"source":"arithmetic__mul_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: How many minutes are there between 10:21 PM and 8:09 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 524644*s**3 + 2*s**2 - 93463*s wrt s?\nAnswer: 3147864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 305 = -21*o + 459 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3571.59 rounded to the nearest one hundred?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a microgram in nanograms?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (4 - 5 - -3) + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 8, -3*w + 6*q + 23 = 4*q. Solve 0 = -2*a - 1 - w for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (1\/2 - 46\/(-4) - 29575\/8281).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11416761 + 0.095?\nAnswer: 11416761.095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence si when two letters picked without replacement from iirisasiasttaii.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b\/(b\/(b\/(b**0\/b))))*b**(-2\/35)*b assuming b is positive.\nAnswer: b**(-2\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -85, -432, 2 in descending order.\nAnswer: 2, -85, -432","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1019243886?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7834060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/(-200))\/(222\/(-1110))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1913 + -1915. Sort -1, a, -370 in decreasing order.\nAnswer: -1, a, -370","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616460403 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*x*y**3 - 4*x*y**2 - 15950*x*y - x - 117*y**3 - 5*y wrt y.\nAnswer: -48*x*y - 8*x - 702*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 214176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 20487*122\nAnswer: 2499414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-564)\/5 + 44\/55. Let r = f - -115. What is the second derivative of 100*w + 2*w**r + 81*w - 27*w**3 - 151*w wrt w?\nAnswer: -150*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 7*c - 9 = 0. Suppose 3*l + 3*s + 0*s = 21, c*s - 1 = l. Find the third derivative of i**l - 2*i**2 - 2*i**2 + 5*i**2 wrt i.\nAnswer: 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.669 + 1409.331. Let l = -1400.008 + y. Let g = l - 12. What is g rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - y**2 - y + 11. What is the tens digit of w(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.229 + -0.229. What is the nearest to 0.1 in i, -11, 0.6?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2488?\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 1 - 4. Let p = -1 - d. Let h = p + 9. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 18*i - 11. Let u be g(-12). Suppose -5*r + 49 = -u. List the prime factors of r.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -o**2\/2 + 5*o - 22. Calculate v(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 1 + -7 + -1 + 7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 28 + 16*m**2 + 7 + 10.\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10 - (7 + 804\/7). Is -3 at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9290 is divided by 29.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 divided by -86?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75788872 is divided by 4230?\nAnswer: 4192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-12)\/h**(-3\/13) assuming h is positive.\nAnswer: h**(-153\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + ((-6)\/(-5))\/((-280)\/100). Which is the fourth smallest value? (a) -5 (b) m (c) -3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1293218915 to the power of 1\/5, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m = -u + 6*m + 7, 22 = 4*u + 5*m for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2063100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 815318 is divided by 74077.\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/10305?\nAnswer: 1\/10305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -97 - -178. Let s = w + -26. Suppose 60*x - 280 = s*x. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*l + 38*l = 79*l - 66 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - 4*s + 24. Give g(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 3:19 AM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18281247799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48124?\nAnswer: 2, 53, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/7*1 - (-7 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2518104?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) 8 (c) 1 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 6*n - 14. Let c(z) = 10*z - z - 2*z - 1. Let k be c(n). Calculate the greatest common factor of 6 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3048 and 7512?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-9)*(-18)\/(-4). Let m(t) = -3 - 2*t**2 - 3*t - 2*t + 2 - t**p. Is m(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10232235 + -0.5.\nAnswer: 10232234.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) 3 (b) -4 (c) -13 (d) -2 (e) -0.04\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*a - 76 = 0. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10470?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-4) - ((-105)\/(-6))\/7. Let g be 32 + h*15\/(-20). Which is smaller: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -357*n + 2443 + 3269 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7942720?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -1\/60*j**6 + 0*j - 1\/8*j**4 + 0*j**5 + 0 - 1\/6*j**3 + 7*j**2. Let n(a) = 3*a**3 + 4*a + 1. What is 5*h(y) + 4*n(y)?\nAnswer: 2*y**3 + y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 14*u - 54. Give a(-17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 + 41*w - 66. Let g be u(39). Let z(v) = v**3. Let o(h) = -4*h**3. What is g*z(y) + 4*o(y)?\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 85 - 421\/5. Put -2, 0.1, m, -3 in decreasing order.\nAnswer: m, 0.1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)*4)\/sqrt(5) - 3*sqrt(1088).\nAnswer: -20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14\/(-91) + 54\/13. Suppose -p*n + 32 = -3*v, -40 + 7 = -5*n + 2*v. Find the second derivative of 2*k**5 + k + 0*k**5 + 0*k**n wrt k.\nAnswer: 40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33 by 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 9\/6*11\/(132\/16)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2026*c + 1496*c + 10205 = 2737*c for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 161 divide 24919258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p**3 - 2*p**3 - 10*p**5 - 3*p**3 + (-3*p**3 + 3*p**3 - 2*p**4)*(-1 + 1 - p).\nAnswer: -8*p**5 - p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**2 + o**2 + 2*o**3 + (o + 0*o + 5*o)*(-2 - 9*o**2 + 2) + o**3 + 2*o**3 - 4*o**3 as w + z*o + j*o**3 + u*o**2 and give j.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18830927*o**2 - 38318531*o wrt o?\nAnswer: -37661854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**20\/n))**27)**24 assuming n is positive.\nAnswer: n**(-11664)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 24773842579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 152 + -152. Suppose u = -2*f + 7*f + 28, -5*u = 2*f - 5. Which is smaller: u or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v*v**2)\/v)*(v*v\/v**(2\/35))\/v)**18 assuming v is positive.\nAnswer: v**(-36\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g**2 - 25*g + 46. Suppose -27*o + 8*o = 266. Let f be x(o). Which is smaller: f or 48\/19?\nAnswer: 48\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2*48\/(-42)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 467 = z, 3*z - r - 854 = 580. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vwx when three letters picked without replacement from vfiwvuix?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**5 + 2*s**5 + 2*s**5 + (s + 3*s - 5*s)*(-2*s**4 + 51*s**3 - 51*s**3).\nAnswer: 6*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -i. Suppose 2*w - 34 = -g, 6*g - 64 = -4*w + 2*g. Let p = -3\/55 - 19\/55. What is the nearest to i in p, -0.1, w?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i**2 + 13*i + 8. Suppose 0 = -4*r - r, -45 = 5*u + 3*r. What are the prime factors of b(u)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -42*i - 1897. What is the remainder when n(-73) is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 577305770 - 577305683.0000041. Let k = -87 + s. What is k rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -16*m**2. Let k be (-3)\/2*(-4)\/2. Suppose -k*q + 5 = -10. Let f(y) = 3*y - q*y + y. What is p(f(o))?\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o - 10 - 4*o + 10 + (-4*o + 0*o + o)*(-51 + 111 - 45) in the form n + z*o and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1272941*n = -1272979*n + 494 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/1)\/3 + (-23)\/(-46). What is the biggest value in -2, v, 0.5, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 + (-90)\/(-25))*10\/(-24). Is -16 smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.569 - 0.64. Let n = r - 0.229. Let d = 24.6 + -25. Which is the third smallest value? (a) n (b) 0 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 368 minutes after 5:08 PM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 5*l**2 - 62*l. What is i(5)?\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 149884468 and 828?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -75\/34 + -600\/17. Let f = 39 + d. Let x = 0 - -1. What is the second biggest value in 4, f, x?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5808617 + 3?\nAnswer: 5808620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8756?\nAnswer: 2, 11, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -2 (c) -0.36 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 763.8 + -764. What is the closest to 0.1 in 1, -2, p, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3922450024.\nAnswer: 2, 43, 11402471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*7\/((-21)\/6). Let o(r) = 2*r**2 + r - 1. Let w be o(d). Suppose 1177 = 5*s + 2*z, 0 = 4*s - w*s - 2*z + 237. What are the prime factors of s?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3*l - 2. Let q be a(-5). Suppose 2*u - z + 5 = u, z = 5*u + 13. Let f be (-30)\/(-2) + 0 + u. Calculate the highest common divisor of q and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + 1*sqrt(288) + sqrt(288) + -3)*-5)**2.\nAnswer: -7200*sqrt(2) + 29700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*b**2 - 2 - 6*b**2 + 4 + b**2 - 2*b**2 - b**2 + (3*b - b - 4*b)*(b - 1 + 1) in the form n*b**2 + q + g*b and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.5 (b) -0.1 (c) -2570 (d) -5 (e) 39 (f) -1\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-2)*(2 + -7 + 3). Let v(n) = -6*n**2 - 2*n - 1. Let b(r) = -5*r**2 - r. Calculate i*v(k) - 4*b(k).\nAnswer: 2*k**2 - 2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/((c*c**(2\/15)*c)\/c)*c))**2*c*c**(-6)*c**(2\/19))**(2\/31) assuming c is positive.\nAnswer: c**(-2638\/8835)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-4))\/(-10*(-33)\/1540)\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 + -31.6. Let h = -3 - g. Round h to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, e: 3, j: 1}. What is prob of sequence wwj?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1433 - -2207. Suppose -5*z + n = -511. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1579884 divided by 62.\nAnswer: 25482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-5698)\/406 + 3 - -11)*-1\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 932040 divided by 15534?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 59916 and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 305 and 305 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*d, h = d + 12 - 6. Let y(z) = 4 + 3 - h - 5 + z**2. Calculate y(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 130502 + -9?\nAnswer: 1304b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 528933 is divided by 499.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -6*q + 12. Let n(o) = 2 + 7 - 1 - 4*o - 7 + 3*o. What is 12*n(t) - s(t)?\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 645 (base 12) in base 5?\nAnswer: 12132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.9 times 0.4?\nAnswer: -5.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l + 0*l - 6*l**2 - 2*l + 1 + l**2 - 1 + (5*l**2 - 4*l**2 - 3*l**2)*(3 - 4 - 1).\nAnswer: -l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200 = 5*n + 195. Let x = 95 - 92. Which is the closest to n? (a) 5 (b) -5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.222187 decades to months.\nAnswer: 386.66244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(4\/11)*m*m**(-11)*(m**3)**(-5\/2))**(-2\/45))**0 assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 18\/19 (b) -1 (c) -27 (d) -12366\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2198 - -8877\/4. Calculate the common denominator of z and 41\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**3 + 10*c**3 + 13*c**3 + 8*c**3.\nAnswer: 33*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 10:45 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 + 0*c**2 - c**2)*(110 - 20 - 35).\nAnswer: 55*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 8*w**2 + 2*w + 7. Give m(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1*(-7)\/(14\/(-8614)).\nAnswer: 59, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5237301 and 159.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 163 (b) -2 (c) -1\/2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 3786279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 17 and 17 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 + 1814808*s - 107059748.\nAnswer: -4*(s - 453643)*(s - 59)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (sqrt(2) + 2*sqrt(2)))**2*-5 - (2 + (-2*sqrt(2) - sqrt(2)) + sqrt(2)).\nAnswer: -42 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -37\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -9 + 24. Suppose -13*g + 1292 = -12*g + 2*b, 0 = 5*g + l*b - 6488. List the prime factors of g.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 16*z + 54. Give i(-6).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 28 = 12. Suppose -2*u + 5*u = 0. Let a = 3 - u. Put a, -3, m in increasing order.\nAnswer: m, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 15, -2\/15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u + 59. Let j be g(-19). Let m be ((-10)\/j)\/(-5)*100. Calculate the greatest common factor of m and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42879 is divided by 2271.\nAnswer: 2001","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of 17 - 1\/21*k**3 + 1\/7*k - 1\/14*k**2 + 1\/28*k**4. Factor a(r).\nAnswer: (r - 1)**2*(r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75840583 to the nearest integer?\nAnswer: 8709","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 669\/4)*(-88)\/(-33). Round d to the nearest ten.\nAnswer: -450","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r - 6. Let d be y(-11). Suppose 15 = 2*o - 3*w, -d*w = 5*o - w - 3. Is 23 a factor of 45 - -2*o\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -c**4\/12 - c**3 + 9*c. What is o(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y + 0*y - y + y.\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5067 - 139419 = -36*w. What is the lowest common multiple of 3732 and w?\nAnswer: 3732","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*4*-5*(-1 + sqrt(325)*-1).\nAnswer: -400*sqrt(13) - 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -6645?\nAnswer: 1\/2215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6432440981 + 6432440321.9997946. Let z = o - -659. Round z to five dps.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -40 + -2?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -44286 or -44254?\nAnswer: -44254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5023.074ns in microseconds?\nAnswer: 5.023074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2*i + 18 = 0, -28*i + 23*i + 22 = r. What is the second derivative of -2*y**r - y**2 + 5 - y + 27 - 4*y**2 + y**2 wrt y?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 236 divided by -236\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + j**2 - 2. Let o be q(2). Let b be (4\/o)\/((-2)\/12). Factor 2*n - 2*n**5 - 2*n - 2*n**3 - b*n**4.\nAnswer: -2*n**3*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, -0.16, -0.5 in ascending order.\nAnswer: -0.5, -0.16, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 20 = 2*w. Let u(c) = 5*c**3 - 267*c**2 - 163*c + 79. Let d be u(54). Solve 2*k - f + d = -3*k, 25 = -w*k - 4*f for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, 1, -3, 5 in increasing order.\nAnswer: -3, 1, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 3.114202 years?\nAnswer: 0.003114202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + 14*a + 6. Let p be m(14). Let o(k) = -k**2 + 4*k + 8. Give o(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -696 or -695?\nAnswer: -695","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -c**3\/2 + 3*c**2\/2 - 6*c. Let f be k(1). Let y be 2\/(-6) + 6\/(-9). Which is smaller: f or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 142, 454, -1, 10, 2, -3, 1 in decreasing order.\nAnswer: 454, 142, 10, 2, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.7 + 6.7. Which is the closest to 3? (a) 0.4 (b) -3\/2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of -2\/105*o**7 + 0 + 0*o**6 + 1\/15*o**5 + 0*o + 0*o**4 + 0*o**3 - 6*o**2. What is the third derivative of q(a) wrt a?\nAnswer: -96*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11352.\nAnswer: 2, 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/4 + 11*h**2\/4 - 7*h\/2 - 6.\nAnswer: (h - 2)*(h + 1)*(h + 12)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**5 - 12*c**4 - 164*c**3 - 248*c**2 + 162*c + 260 = 0?\nAnswer: -5, -2, -1, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319 is divided by 79.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of 5*b**7\/21 + 14*b**6\/9 + 439*b**5\/270 - 41*b**4\/27 + 4*b**3\/9 + b**2 - 365. Let z(y) = 0. What is y?\nAnswer: -3, -1, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 9*m + 38. Let n(p) = -p - 2. Let k(z) = 6*n(z) + q(z). Let t be -16*(-1)\/(-6)*3. Let s be k(t). Solve 0 = -4*c - g + s*g + 8, -2*g = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 35 = 6*n. Suppose -5*f = -g + 23, -2*g - 2*g - 33 = n*f. Put g, 1, -4, -5 in increasing order.\nAnswer: -5, -4, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2312353 (base 7) to base 6.\nAnswer: 10105531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-24 - -13) + 17?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5*4*sqrt(425).\nAnswer: -4 + 100*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from ttttttwttwtttw.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 3*c + 20. Calculate the highest common divisor of c and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 154 - 12*y - 2*y - 156. Let p be j(-1). Sort 2, p, -5 in descending order.\nAnswer: p, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1135, -1132, -1129, -1126, -1123?\nAnswer: -1120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1745? (a) -191 (b) -0.3 (c) 0 (d) -2\/13 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/2*(11 - -5395)?\nAnswer: 3, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/7*(-49)\/(-7). Let k be 5 + 2*(g - 5). What is the remainder when 17 is divided by 11 + k\/((-9)\/12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(13))*-4 + (sqrt(13) + 1 - sqrt(13)) + 4)**2 + (2 + sqrt(78)\/(sqrt(6)*-2))**2 + 4.\nAnswer: -10*sqrt(13) + 881\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 909 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 40719895 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 306 = 41. What are the prime factors of t?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 750 and 25.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*k - 20*k - 84 = 0 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (994\/355)\/(4\/10)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -14102241 (base 5) in base 2?\nAnswer: -100011001011000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q - 13*y + 314, -333847*q = -333849*q - 3*y + 68 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 times 169\nAnswer: -118.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 122267 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0430412332 to three dps.\nAnswer: -0.043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-19 - (-94 + 72)) + -54 + 0\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5\/3, 4, -384, -22?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 + (-138118)\/(-28620)*-27?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 58 - -43. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l**3 + l**2 + 1. Calculate n(-2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*a + 121 = -1196 - 603 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 11) to base 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 1\/4155 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -58, -375, -1218, -2851, -5538, -9543, -15130, -22563?\n\"Answer: -44*k**3 + k**2 - 12*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 600*i**2 - 597*i**2 - 2.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*h + 20 = -1, 4*c = -5*h + 37. Let p = 0.09 + -8.09. Let b = p + 4. What is the second biggest value in 1, b, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25372 - -25373. What is the closest to 0.03 in o, 0, 2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/105485562 and -16\/273?\nAnswer: 105485562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -71 + 71. Let r(m) be the second derivative of -m**3\/3 - 8*m. Let j be r(c). What is the nearest to j in 1\/3, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2876\/65 or -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*o - 104 = 5*o. What is the first derivative of -15 + n**o - 172*n**4 + 7 - 5 wrt n?\nAnswer: -684*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 7 - 3*t**2 - 15 + 2*t**2 + 10*t - 6. What is the remainder when 28 is divided by z(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -25.85 + 18.85. What is the third smallest value in 3, 8, k, -5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**4 + 1904*v**3 + 312016*v**2 + 20334720*v + 456249600.\nAnswer: 4*(v + 60)**2*(v + 178)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-2) + (-119)\/(-28)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s - 4. Let t(x) = 6*x. Let v be t(-1). Let g(d) = -d**2 - 7*d + 2. Let q be g(v). Let w be o(q). Solve -u - 1 = w for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56245?\nAnswer: 5, 7, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 3 + 2 = 3*i, 5*t + 3*i = -7 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 t when three letters picked without replacement from {f: 1, j: 2, b: 2, n: 1, t: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 365 + -27?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -2. What is the closest to 0.1 in q, 5\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 622 = -2*z, 31*z + 5*b - 1226 = 27*z. Is z less than or equal to 307?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkbvkbkbkvkvvvvbv. What is prob of sequence bbv?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/433940?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 319847 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*b - 664 = 3*s, -3*b - 237 - 217 = s - 431 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 331 is divided by 109?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -199\/3 or -66?\nAnswer: -199\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from njniniinnjnjvvnnjnnj. What is prob of sequence nn?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.89 + 19.65. Let p = 19 - g. Let t = p - 0.04. Which is the closest to 0? (a) 1 (b) t (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -407.6946 and 51?\nAnswer: -20792.4246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -0.4, 0.5, -5\/8, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-30) + (-16)\/(-5). What is the third derivative of -18*q**2 + 3*q**3 + 18*q**4 + k*q**3 - 6*q**3 wrt q?\nAnswer: 432*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 485 + -480. Which is the second smallest value? (a) 0.5 (b) h (c) -1\/4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4096 and 215040.\nAnswer: 430080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 0. Suppose -4*d - w*j = -36, 9*d - 4*d + 3*j - 53 = 0. Calculate the remainder when 51 is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -1\/10*w**5 + 1\/18*w**4 + 0*w**3 + 12*w + 0 + 0*w**2 - 1\/63*w**7 + 1\/15*w**6. Factor x(z).\nAnswer: -2*z**2*(z - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/(7\/2)*-2. Let r(v) = -2*v**2 - 2*v + 2. Let s(g) = -g**2 - g + 1. Give i*r(o) - 9*s(o).\nAnswer: o**2 + o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26 - (-14 - (1 + -9))) + (3 - 11).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.42233 * 5.\nAnswer: 2.11165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 24996?\nAnswer: 124980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000489459383 rounded to 7 decimal places?\nAnswer: 0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -121 + -69?\nAnswer: -18a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -688.27949 and -17959.\nAnswer: -18647.27949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -w + 2*g, 0*g = 2*w - 5*g - 116. Let s = w + -51. Suppose s*c + 1240 = 4*l - 2*c, -3*l + 920 = -c. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 36.67722 to two dps.\nAnswer: 36.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*y**5 - 887*y?\nAnswer: -280*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 4, 3, 5, -13 in descending order.\nAnswer: 5, 4, 3, -11, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 2274 divide 228988700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 23644.47 to the nearest one thousand.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 3*z - 3. Let b be q(-2). Let u(n) = -16*n**2 + 61*n - 50. Let r(m) = 3*m**2 - 12*m + 10. Let v(y) = 11*r(y) + 2*u(y). Does 7 divide v(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -345128 + 3*c + 345128.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3704.66ug to kilograms.\nAnswer: 0.00000370466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that q**3\/5 + 1803*q**2\/5 + 50844*q\/5 - 1067948\/5 = 0.\nAnswer: -1774, -43, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z - 2. Let m be u(-8). Let x(d) = -d**2 + 8*d - 9. Let n be x(m). Suppose 0 = -n*l + l. Solve l = h, 3*p = 5*h + 10 - 1 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 100 (c) 45 (d) 0.3 (e) -1 (f) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8038026.61 - -88?\nAnswer: -8037938.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 172267?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16952354 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*28\/(-240)*43\/((-3612)\/24).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 70\/26067 and -29\/114?\nAnswer: 990546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 + h**2 + 0*h**2)*(2*h + 2*h**2 - 2*h)*(-19 + 3 - 2).\nAnswer: -72*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**2. Let p(o) = 7003144*o**2. What is p(v(x))?\nAnswer: 28012576*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7364 - -7372. Suppose 27 + 85 = 4*h. Calculate the remainder when h is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0*f + 5*f - 3*f)*(f - f - f) + 2*f**2 - 3*f**2 + 0*f**2)*(8 + 5*f**2 - 8) in the form h*f + x + a*f**3 + d*f**4 + l*f**2 and give d.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1418\/497 + 2\/497. Let t(c) = -10*c + 25. Let f be t(2). Suppose 40\/7*s**2 - 4\/7*s**f + i*s**4 - 40\/7*s**3 - 20\/7*s + 4\/7 = 0. What is s?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l + 5. Let i = 205 + -211. Let o(y) = -1. What is i*o(b) - x(b)?\nAnswer: -3*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c\/(c\/c**26))\/c)\/(c**(-7)*c) assuming c is positive.\nAnswer: c**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 110154552 (base 6) in base 15?\nAnswer: 29023e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4312\/6 + (70\/21)\/(-5). Suppose z*l = 723*l + 57000000. Round l to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12775 - 11705. Is k > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.42 and 5827.\nAnswer: -2447.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**26\/g**(-6) assuming g is positive.\nAnswer: g**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 10*g**2 - g + 3. Calculate t(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*i - 204 + 258 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -416115.9576 rounded to the nearest 10?\nAnswer: -416120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2452 (base 15) in base 7?\nAnswer: -31346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 13*s**2 + 20*s + 98. Give x(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -q**4\/12 - 13*q**2 - 71*q. Let b(i) = -14*i**2. Determine m(b(n)).\nAnswer: 28*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -953\/17, -6 in descending order.\nAnswer: 5, -6, -953\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27356256 and 1204?\nAnswer: 191493792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 103102231020 (base 4) in base 2?\nAnswer: 10011010010101101001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -79 + 22. Let w be -2*3\/(-9)*g\/2. Is w less than or equal to -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + 117*u + 482. What is r(121)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of 2*q**6\/5 - 218*q**5\/5 + 189*q**4 - 328*q**3 + 280*q**2 - 197*q. Suppose z(g) = 0. Calculate g.\nAnswer: 2\/3, 1, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j**2 - 4 + j**2 + 0*j**2 + (-5 - 2 + 1)*(4*j**2 + 4*j**2 - j**2) + 1 + 16*j**2 - 1 to the form n + a*j**2 + u*j and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 151324837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + (-26)\/(-9))*3. Determine w so that -t - 14\/3*w**3 - 10\/3*w**2 + 32\/3*w = 0.\nAnswer: -2, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38202409757 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - ((4 - -8) + -5 + -7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3055752 and 1204.\nAnswer: 3055752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 1061*o + 216502. Calculate b(-204).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-12\/7)*i*i*i**(-25)\/i)**(-50) assuming i is positive.\nAnswer: i**(9000\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*l - 22955 = 10435. Let c = 2389 + l. List the prime factors of c.\nAnswer: 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 168393\/5 - 33674. Let v(r) = -r**2 - r + 2. Let g be v(0). Suppose n - g*n = -b + 9, -b - 4*n - 11 = 0. Is l bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2295 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*q + 7244 = -115443. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-12) + 2891\/294. Solve -7*b - 25 = u for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -1433.\nAnswer: -1\/1433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -2*w**4\/5 - 3747924*w**3\/5 = 0?\nAnswer: -1873962, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 15651.01um?\nAnswer: 1.565101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a day in hours?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/8 + (-6)\/(-4). Let u be ((-15)\/(-45))\/(2\/24). Suppose -u*a - 6 = -10. Which is greater: a or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -58*d**3 + 24*d**2 - 13*d - 7. Let r(w) = -w**3 + 4*w**2 - 1. Give i(u) - 6*r(u).\nAnswer: -52*u**3 - 13*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (53 - -2)\/((134\/(-804))\/((-2)\/(-12))).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9 (b) 0.1601 (c) -1.2 (d) 28 (e) 0 (f) -2 (g) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -1.7, -2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 + 10*h - 1. Let t(u) = u**3 + 9*u**2 + 10*u + 7. Let j be t(-8). Let p = -19 - j. Let m be w(p). Let z(d) = 3*d**2 - 1. What is z(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37536\/11 - -3410. Find the common denominator of 26\/10*1\/(-12)*-4 and s.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 6\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 41, 4, 1, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 111029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 310429749.\nAnswer: 3, 7, 301681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2980698, -5961400, -8942102, -11922804?\n\"Answer: -2980702*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**6*q)\/(q*q**3))**6)**(1\/14) assuming q is positive.\nAnswer: q**(-24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 - 30.38. Let d = -3.88 - n. Let u = -2 - -1. Sort d, u, 1, 2\/3 in decreasing order.\nAnswer: 1, 2\/3, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2*s - 3*s = 33, -s - 7 = -g. Solve 0 = m - g - 1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/3)\/g*g)**45*(g**(-1\/3))**(2\/19) assuming g is positive.\nAnswer: g**(-1712\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 12 = -2*h, -5*h + 4*d - 3 - 1 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/3)\/g)\/((g\/(g\/(g\/(g\/(g\/((g\/g**(15\/2))\/g*g))))))\/g*g)*g**(-8\/3)*g**(-7\/2) assuming g is positive.\nAnswer: g**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 19 = 4*h - h, 3*r - 57 = 4*h. Is 6 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + 3\/9)*588\/(-490). Let f(q) = 62*q**3. Let g be f(1). Suppose -5*v = 4*m - g, d*v - 14 = -0*v + 2*m. Solve 4*a - v = -a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j - 13. Let u be g(11). What is the thousands digit of (u + (-442)\/(-3))*78\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*d**2 + d**4 + 3*d - 9*d**2 wrt d?\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 451*j + 3895 - 18327 = 0 for j.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, -0.5, 4.\nAnswer: -0.5, 4, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -77 or 11?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of f**5\/5 - 5*f**2\/2 - 3. Find the second derivative of k(q) wrt q.\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -78*x - 590. Give f(-8).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/3 (b) 1\/25 (c) -0.2 (d) -17 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1503, 1496, 1485, 1470, 1451?\n\"Answer: -2*l**2 - l + 1506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 7*r + 9, 4*u + 0 + 16 = 2*r for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 24, -356 in descending order.\nAnswer: 24, 0, -356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n - 6. Let c be g(0). Let b be c + 12 - (3 - 0). Suppose k - 40 = -b*k. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-16)\/((-48)\/(-3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2555 - 2024. Calculate the remainder when a is divided by 66.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.598029 to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 780 and 3666.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - k + 5, 4*x + k + 0 = 20. What is the third derivative of 2 + 65980*b**2 + 171*b**x + 1 - 65960*b**2 wrt b?\nAnswer: 10260*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 95*j**4*s + j**3*s + 2*j**3 + 6*j**2 - s wrt j?\nAnswer: 2280*j*s + 6*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0087611886 to four dps.\nAnswer: 0.0088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 115553 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**4\/9 - 3404*f**3\/3 + 7740599*f**2\/3 + 46474234*f\/9 + 7747408\/3 = 0. Calculate f.\nAnswer: -1, 3422, 6792","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1312 - -1334. Solve i*p + 0*p = -66 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 303306?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -65.7 + 66. Suppose 2*r - 2 - 38 = 4*d, 3*r = d + 80. Let o be (-1)\/5 + r\/(-10). What is the third smallest value in o, u, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1070, -1065, -1060, -1055, -1050, -1045?\nAnswer: -1040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/(261\/126) - -6?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b. Let k be (-144)\/40 + (-4)\/10. Let v = -2 - k. Let w(p) = 3*p - p + v*p. What is w(f(l))?\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 6774514?\nAnswer: -6774518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 204 - 203.956. What is the closest to -2 in 2, -5, d, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5023?\nAnswer: 5023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 192 = 40. Let j = t + -40. What is the tens digit of 262\/12 - (-6)\/j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*g + 7. Let n(q) = q + q**2 + q + 2*q - 7 - 5*q. What is the units digit of n(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -1123?\nAnswer: 1114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/3)\/(d*d**0*d)*(d**(2\/3))**37)\/((d**6\/d**(-1))\/(d**0)**(3\/31)) assuming d is positive.\nAnswer: d**(46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 11 = -4*m, 13*m = 4*b + 16*m + 10 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*k + 725691 = 0, -f - 39*k + 725692 = -44*k. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 14) in base 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2545, -2541, -2527, -2497, -2445, -2365?\nAnswer: -2251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 391281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -12. What are the prime factors of (-3 - (-18)\/(-4))*q?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.988011 years in centuries?\nAnswer: 0.04988011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 534 divide 4458366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2461, -2345, -2231, -2119, -2009, -1901, -1795?\n\"Answer: -s**2 + 119*s - 2579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*t + 42*t - t**2 + 4*t**3 + 0*t**2 + 0*t**2 to the form o*t**3 + c*t + m*t**2 + y and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + 2*u + 1. Let s be k(-5). Let c = 21 - s. Suppose 3*i = 2*i + 1. What is the lowest common multiple of c and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1*(-16)\/(-2))\/(-2). Let x be (i\/(-4) - -1)\/1. Solve -3*d + 8 + 4 = x for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 389 = -5*f - b, -f = -b - 72. What is the remainder when 446 is divided by f?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1896166?\nAnswer: 2, 23, 41221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/25 of a meter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/8)\/(t\/((t**(-2)*t)\/t)))\/((t*t**(6\/13))\/t**(1\/9)))**36 assuming t is positive.\nAnswer: t**(-4189\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -2*g - 0*k + 24, -3*g - 4*k = -29. List the prime factors of g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -205, 0.17, 183.\nAnswer: -205, 0.17, 183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -498911.8 + -12513.2. Let t = m - -511211.887. Let a = -213 - t. What is a rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 36556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.84 and -340020.\nAnswer: -285616.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 1 - 1. Let x = 1.98 + 0.02. Let j = x + -1.9. What is the nearest to j in -2\/9, 3, c?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, -0.1, 0.2, 58?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 3*m**2 - m - 4. Let t be w(-2). Solve 2*a**3 + 5*a**2 + 0*a**2 + 2*a**4 + 2*a**3 - 3*a**t = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -1239*z - 1306. What is the ten thousands digit of q(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c = -3*n - 4*c - 26, 5*n + 5*c = 15 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (-1 - (4 - (4 - -2))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxexexxxexxxxxxx. Give prob of picking 3 x.\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-12) - (-32)\/21. Let x(l) = -13*l**2 - 13*l + 1. Let q be x(-1). Are o and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 5*k = 0, 3*k - 1 + 45 = -5*a. Suppose -2*z - 3*v = 404, 4*v = -3*z + 2*z - 192. Is 15\/6*z\/a a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 3*b**3)*(0*b + 8*b - 3*b + (2 + 0 - 3)*(4*b - b - 4*b)) - b**4 + 0*b**3 + 0*b**3.\nAnswer: -19*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -10.212 and -109350.96.\nAnswer: -109361.172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/1*2\/4)\/10.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ek when two letters picked without replacement from khxkkehjxexxxx.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.6, -724, -4, 2\/13, -1, -89?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93856?\nAnswer: 2, 7, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 396085512 by -248.\nAnswer: -1597119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s - 12. Let j be c(8). Suppose 0 = j*f - 71 - 1193. Calculate the common denominator of 73\/3 and 1 + (f\/84)\/1 + -4.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 8*j. Let d be s(8). What is the second derivative of 7*z**5 - z + d*z - 11*z**5 wrt z?\nAnswer: -80*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 386 + -385.7. Put 0.4, o, 2\/3, -1\/15 in decreasing order.\nAnswer: 2\/3, 0.4, o, -1\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/49, -2, -2\/51, -101?\nAnswer: -101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2567497197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9\/(-9))\/(0 - -1) - -1. Suppose 5*k - 5 = 4*i - 20, t = 3*i + 2*k + 6. Which is greater: i or -7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 4 (b) 19 (c) 5 (d) -2\/529 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 206860 and 198?\nAnswer: 20479140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 84 + -92. Let m(i) = 2*i + 18. Let k be m(p). Let a be 5\/k - -1 - 3\/(-6). Solve s + a = -s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -88608694 and -1\/4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7056)*2*5 - sqrt(7056))\/(sqrt(28)\/(sqrt(16)\/(2*sqrt(4)))).\nAnswer: 54*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*d + 2865 = -118*d. Let y = d + 273. Does 47 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -317 or -384?\nAnswer: -384","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*w + 6\/5*w**2 + 0 - 2\/15*w**3.\nAnswer: -2*w**2*(w - 9)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 422, 827, 1222, 1601, 1958, 2287, 2582, 2837?\n\"Answer: -z**3 + z**2 + 409*z + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.039 and 0.114.\nAnswer: -0.004446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**2 - 60*p + 35. Determine n(25).\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.124915nm in meters?\nAnswer: 0.000000000124915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 7*r + 26. Let x be v(-4). Let z be x*-14*(-4)\/(-16). Suppose z*p + 2*f = 3*p + 212, -3*p - f = -157. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 308.9 to the nearest ten.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qkyykykkq. What is prob of sequence kqy?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, j: 12, g: 2}. What is prob of sequence ggxx?\nAnswer: 1\/10920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Is 1444608 a multiple of 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -17, 66, 5.\nAnswer: -17, 2, 5, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -6160b58?\nAnswer: 6160b5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 2)\/(-3*1\/(-3))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -126.3 - -126. What is the nearest to 1 in i, -7, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2159, 4318, 6477, 8636, 10795?\nAnswer: 12954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26 - 3) + (-183 - -159) - (-1 - -6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1651.\nAnswer: 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/35 in 0.1, 22, 2027, 25?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1335815*u**3 + 34*u**2 + 125*u - 30816 wrt u.\nAnswer: -8014890*u + 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -5*m - 2, 170*m - 175*m = -3*g + 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -24*m*p**2 + 200*m*p + m - p**2 + 15814 wrt m?\nAnswer: -24*p**2 + 200*p + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20030 - 53414?\nAnswer: -33344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 160589 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/56)\/(3\/((-18)\/39))?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 i when two letters picked without replacement from {o: 2, q: 2, g: 4, k: 2, t: 1, i: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 821*w**2 + 30*w**3 + 846*w**2 + 820*w**2 + 823*w**2 + 821*w**2 - 4131*w**2.\nAnswer: 30*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 116330 greater than or equal to 1977590\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6338, -7269, -8810, -10955, -13698, -17033, -20954, -25455?\nAnswer: -30530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-83*a + 2 - 165*a - 142*a - 2)*(-39 - 23 + 19).\nAnswer: 16770*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-137)\/274)\/((-273)\/(-810) + (-16)\/48).\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9, -0.5, -2\/13, 17\/3, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**3 + r**2. Let k be t(-1). Suppose g = -k*g + 60. Suppose g*m = 11*m - 8. Put 0.2, 4, m in decreasing order.\nAnswer: 4, 0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13013013003110 + -2?\nAnswer: -13013013003112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -5*1\/(-15) + (-850)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26 or -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*l = -2*v - 33, -5*v = -2*l + 148. Let a = -14 - v. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24950.38l to millilitres.\nAnswer: 24950380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15180836861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 5*i + i + 1 - 1 + 6*i + 0*i + 0*i - i + (0 + i + 0)*(-3 + 1 + 0) - 2*i + 1 - 1 + (-1 + 1 - 2*i)*(-5 + 4 + 3))*(19*i**2 + 0*i**2 + 3*i**2).\nAnswer: -132*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93*(13\/3 + -4).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -2*m - 4*l + 990, -2*m = -3*l - 978. Suppose -20*g + m = 92. Is g even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129415\/18824*48\/10?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 41*j**2 - 80*j + 66. Let c be o(39). Let g(k) = -k**3 - 19*k**2 - 86*k - 18. Calculate g(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 917.2234 milligrams to tonnes.\nAnswer: 0.0000009172234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*0.2235.\nAnswer: -0.0447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.031809415 to five dps.\nAnswer: 1.03181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5353.348 decades in centuries?\nAnswer: 535.3348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 4*t**2. Let i(s) = 5*s - 3. Let z(r) = -4*r + 2. Let k(u) = -4*i(u) - 6*z(u). Determine k(w(q)).\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2785*v - 1836 = 2821*v for v.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*y + 13 - 2*y - 108*y.\nAnswer: -97*y + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 145146212 - -4?\nAnswer: 145146216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*r + 38 = 15*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -85*n - 74. Let i be m(-5). Calculate the highest common divisor of i and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 301354*o**2*s**2 + 2*o**2 - 75750*s wrt s.\nAnswer: 602708*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -4*r. Let k(t) = t**2 + 28*t. Let f be ((-42)\/8)\/(69\/8 + -9). Suppose a = d - 9, 0*d + f = -a + 2*d. What is a*k(c) - 28*p(c)?\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 4, 5, 13377.\nAnswer: -4, -1, 4, 5, 13377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -29, -4\/7, -26, 13, 2, 3?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 51 and -794667.\nAnswer: -794616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 - 55 = 10*n. Let f(b) = 9*b**2 - 18*b + 38. Let v be f(n). Calculate the greatest common divisor of 55 and v.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 357\/(-17)*10\/105*3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 4135*j**2 + 30*j. Let s(m) = 7*m. What is k(s(n))?\nAnswer: 202615*n**2 + 210*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 1:57 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -59 + 94. Suppose -5*s - v = -10. Which is the smallest value? (a) -4 (b) s (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16620 - -365575\/22. Find the common denominator of -43\/18 and f.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 - 7*c + 6. Suppose w - 7*w - 294 = 0. Let h = w - -56. Let a be o(h). Solve -a = 2*k + 5*v - 4, 0 = 5*k + 3*v - 14 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*i + 3*i + 4*i)*(-3 + 3 + 1) - 3*i + 5 - 5)*(0 - 2 + 4).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*q**5 + 132081128*q**3 + 808747659*q wrt q?\nAnswer: 60*q**3 + 792486768*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from cmcmccmmmmm.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 110 divided by 43\nAnswer: 110\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 11399.\nAnswer: 1\/11399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 12 = -6*f + 5*f, -18 = -5*w + 4*f for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51 + -49. Suppose -b = o*d - 5 - 3, b - 2 = d. Find the third derivative of -12*x**4 + 3*x**6 + 16*x**d + 7*x**4 + 16*x**2 wrt x.\nAnswer: 360*x**3 - 120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express d - 49*d + 68*d + 37*d + 70*d in the form f + o*d and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36 - -182\/5. Is b greater than or equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 22361*p + 18336021. Calculate x(-820).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, q: 1, s: 10, l: 2, g: 2, h: 3}. Give prob of sequence gh.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1\/7, 0.5, 0.1 in descending order.\nAnswer: 0.5, 0.1, 0, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -9*v + 5. Let g(q) = -7*q + 4. Suppose 4*n = 4*a + a, 0 = n - 2*a + 3. Let c(i) = n*g(i) - 4*o(i). Let r(k) = 3 - 2*k**2 - 3. Calculate c(r(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cz when two letters picked without replacement from {c: 3, u: 1, l: 6, z: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 351 + 734 = -12*b - 23*b for b.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 385446, 385507, 385568, 385629?\nAnswer: 385690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(1911) - -2*sqrt(1911)) + sqrt(1911))\/(sqrt(81)\/sqrt(3) + sqrt(3) + sqrt(3)) + 4 + 4 + sqrt(117) + ((sqrt(39)\/sqrt(3) - sqrt(13)) + -1)**2).\nAnswer: 27 + 129*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 14\/9 of a hour?\nAnswer: 5600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 8*m**2 - 6*m + 3. Calculate j(2).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 346068?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -5265*j. Let i(m) = 47*m. What is 2*h(g) + 225*i(g)?\nAnswer: 45*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -323334, -646667, -970004, -1293345, -1616690, -1940039, -2263392?\nAnswer: -2586749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/22 and ((-1)\/3)\/((-32)\/(-219))?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-2)*1\/5\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.5, 0.3, -3, 1, 27\/4?\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s + 139. Let i(d) = 46. Let o(x) = -2*b(x) + 7*i(x). Let q be o(19). Solve 0*t - 2*t - q = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**4 - 4*x**4 + 2*x**4 + (-x**2 + 2*x**2 + 0*x**2)*(-7*x**2 - 12*x + 12*x) + (2*x - x - 3*x)*(-22*x + 132 - 132)*(-x + x - 3*x)*(x + 2 - 2).\nAnswer: -138*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-29)\/290*2\/(-2)*-86?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43 + 267. Suppose 60*s = 58*s + u. Does 16 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40 + -87. Let f = -29 - r. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -956968 + 987591091\/1032. Find the common denominator of t and 68\/129.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 55*m - 245. Solve 4*y - 1 = m*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -15*c. Let o(z) be the first derivative of -5*z**2 + 69. Calculate y(o(d)).\nAnswer: 150*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -164 + -2641666?\nAnswer: -2642052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-21)\/6)\/(-1 + (-18)\/12). Which is the closest to 0.2? (a) -4 (b) 5 (c) 0.5 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f**3 + 4996*f**2 - 8*f + 221962 wrt f.\nAnswer: -6*f**2 + 9992*f - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**2 + 3*m**2 - m**2)*(4 - 4 - 2*m**3) + m**5 + 5*m**5 - 5*m**5 + (-4*m**3 - 4*m**3 + 0*m**3)*(4*m**2 + 6*m**2 - 6*m**2).\nAnswer: -29*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 1221*t + 28148. Give l(-23).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**3 + 45*r**2 + 24*r + 49. Let y be o(-22). Solve -y*f + 3*f = -8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2038 + -2030. Solve -3*w = -w + x, -20 = -n + 4*w for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 11, s: 2}. Give prob of picking 3 g and 1 s.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/(-4) + ((-16233)\/12)\/(-7).\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a millennium in decades?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/7 + 39911252*i\/7 - 199113504525938\/7.\nAnswer: -2*(i - 9977813)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1)*(0*u**3 - 2*u**3 + 4*u**3) - 1 - 4*u**3 - 1 + u - 2*u + (2*u + 4*u - 4*u)*(317*u**2 - 203*u**2 + 1415*u**2).\nAnswer: 3056*u**3 - u - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 3*l - 2*l)*(-4 - 2 + 41 + 11).\nAnswer: -46*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -133533, -267086, -400637, -534186?\nAnswer: -667733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 5:16 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16.6 + -5.4. Let f = -21.8756 - -0.0306. Let w = f - n. What is w rounded to two dps?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -19*t**5 - 3*t**4 + 35*t**3 - 19*t**2 - 27*t. Let y(h) = 5*h**5 + h**4 - 9*h**3 + 5*h**2 + 7*h. Let r(i) = -6*c(i) - 22*y(i). What is m in r(m) = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 1. Let v(z) = -38*z + 114. Let n be v(3). Solve -5*u + 2*u = -5*p, b*u + 5*p = n for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11157 - 189?\nAnswer: -11346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 5)*(222*u - 114*u - 9 - 110*u)*(-3 + 2 + 2).\nAnswer: -4*u - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 1551*j**2. Let w(l) = l**2 + 2. Let t(z) = -6*z**2 - 16. Let f(o) = -t(o) - 8*w(o). Determine f(d(a)).\nAnswer: -4811202*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + k**2 + 28. Let r be s(0). Suppose 2*g - r = -0*g. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 3*s = -13, 180*g - 15*s = 176*g + 71 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4410\/(-195))\/(4\/(-6)). Let h = 15\/26 + d. Calculate the common denominator of h and 101\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 80 (b) 7\/401 (c) -1\/241\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46269 and 5238.\nAnswer: 873","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/c**(-3\/7)*c\/c**(-1\/3)*c*(c**(-1\/4))**(-7\/2) assuming c is positive.\nAnswer: c**(779\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from avvvvvvvvvvvvaavvv. Give prob of sequence vva.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 105 + -103. Find h, given that 0*h - 8\/3 + 2*h**y - 2\/3*h**3 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k**5 - 22*k**4 + 147*k**3 - 270*k**2 = 0. Calculate k.\nAnswer: 0, 3, 9, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 88 = 3*z. Let v = z + 1. Calculate the remainder when v is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 5, -1\/3, -0.2, 58?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 407032978 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, -1.3, 1\/5, 1.1, 4?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 834 - 858?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 511226?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*14\/(630\/(-99)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75 - 75 + 520*g - 518*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + (-4 - -2)*2*4. Is 0 - 1 - (15 - 12) - y a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of -1\/8*r**4 + 0*r**6 + 0 + 0*r**7 + 0*r**5 - 3*r**2 + 1\/112*r**8 + 0*r**3 + 0*r. Find the second derivative of d(j) wrt j.\nAnswer: 60*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**2*l**5 - 6*a**2*l - a*l**2 + 37*a - 909*l**4 wrt l?\nAnswer: -60*a**2*l**2 - 21816*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -176 + 168. Let z be 5\/(-6) - 3\/(-6). Is y less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r + 5*r - r + (0*r + 2*r - r)*(2 + 1 - 9) + (-1 + 3 - 1)*(-2 + r + 2).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85 - 249 + 84 - 5*a**3 + 80.\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**3 + 0*r**3 - r**3)*(-5 + 3 + 1)*(r + 2*r + 3*r).\nAnswer: 6*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15567*a**2*y**2 - 1066*a**2*y + a*y**2 + 20*a*y - 64*y**2 - 7*y - 3 wrt y.\nAnswer: -31134*a**2 + 2*a - 128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 59 = 9. Suppose -y = 2*u - 9, u = 5*y - 0*u - x. Suppose -3 = -p + y. Solve 0*m = -2*m + p for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + p - 3. Let x(a) = -298*a**2 - 51*a - 39. Let y(i) = -26*b(i) + 2*x(i). Find the second derivative of y(f) wrt f.\nAnswer: -1140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -121302 (base 4) to base 11\nAnswer: -1270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - (-18)\/(-14) - 4916\/(-7). What is the hundreds digit of a\/4*((-52)\/(-12) - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -97830851*r**3 + 34809*r**2 + 1440?\nAnswer: -586985106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -5 (c) 2\/15 (d) 0.1005 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(-6)*519\/346. Let s(l) be the first derivative of -4\/3*l**3 + 0*l - 4 - 4*l**c. Factor s(b).\nAnswer: -4*b*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11f67 + -4?\nAnswer: 11f63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -293, -286, -279, -272, -265, -258?\nAnswer: -251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(200) + (sqrt(200) - (0 + sqrt(200)))*2)*-6 + -5)**2.\nAnswer: 600*sqrt(2) + 7228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 2, -2, 0.3, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11584228, -11584227, -11584226, -11584225, -11584224, -11584223?\nAnswer: -11584222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 405.0788 + -405. Let k = -2.2 - -2.289. Let t = u - k. What is t rounded to 3 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 495, -1, -4.\nAnswer: -4, -1, 0.1, 495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43\/24 - 1\/8. Let t(k) = -10*k - 3. Let l be t(-2). Let x = l + -27. What is the second biggest value in b, x, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*b - 3779 = 7389. What is the remainder when b is divided by 88?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32119 is divided by 73?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/28 and -127\/67084122?\nAnswer: 134168244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -155262650 (base 7) to base 10.\nAnswer: -10519796","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3795532, 3795533, 3795534, 3795535?\nAnswer: 3795536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 0 + (-4 - -14).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k - 2*k + 3*k)*(-224*k + 4 + 434*k - 196*k).\nAnswer: -28*k**2 - 8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 1 - 1) + 80. Suppose -4*b + s = -10. Is 11 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*p**3 + 18 - 18)*(4*p + 0*p - 2*p)*(0*p + 0*p + p).\nAnswer: 42*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + y - 21 = 0, 13 - 38 = -5*y for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0336 rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 162264407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of 24 + 0*g - 3\/2*g**2. Let k(p) = 19*p. Give k(z(u)).\nAnswer: -57*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7 + 186\/30)\/(2\/5). Let o(v) = -9*v + 3. Let p(k) = 5*k - 2. Let u(m) = 3*o(m) + 5*p(m). List the prime factors of u(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)*-3)\/sqrt(12)*-3*-2.\nAnswer: -18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 5.6. Suppose -2*s - 3*m - 8 = -6*m, -4*m = 4*s + 16. Let v be (-76)\/72*-4 + s. Put v, z, -2 in increasing order.\nAnswer: -2, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 i when four letters picked without replacement from {c: 3, i: 8}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in -2\/27, -3\/71, -1\/3, -2?\nAnswer: -3\/71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 286\/306 - 62\/558. Let y(i) = i**3 + 7*i**2 - 7*i + 10 + 0*i**2 + 1 - 1. Let j be y(-8). Is j less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 475968 a multiple of 201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 373172300 to the power of 1\/2, to the nearest integer?\nAnswer: 19318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149007 is divided by 1410.\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 14*g**4 - 242*g**3 - 25*g - 2. Let b(k) = -2*k**4 + k**3 - k. Let v(s) = 6*b(s) + j(s). Find the second derivative of v(f) wrt f.\nAnswer: 24*f**2 - 1416*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 5)*(22*p**2 - 39 + 39 - 22*p**2 - 2891*p**4) in the form l*p + v*p**2 + s*p**4 + n + b*p**3 and give s.\nAnswer: 2891","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do -1151 and 1716 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83577 divided by -2.\nAnswer: -83577\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4297004471 a multiple of 11262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.600028 rounded to zero decimal places?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 14 = -s, 2*p + s + 18 = -s. Suppose -2 = 4*n - 2*b + 8, -4*n - b = 19. Put p, n, -3 in decreasing order.\nAnswer: -3, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 - 107158*p + 857334. Calculate m(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*l**2 - 33*l**2 + 20*l**2 + 32*l - 2*l**3 - 1 - 13*l as m*l**2 + q*l**3 + h + c*l and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 2*k**2\/3 + 10*k + 52\/3 = 0.\nAnswer: -13, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**5\/6 - 66709*c**4\/2 - 6674835808*c**3\/3 - 148390495100864*c**2\/3 + 445333925820416*c - 1187604607424512\/3 = 0 for c.\nAnswer: -66712, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.82 + -40.28. Let v = 49 + x. Which is the biggest value? (a) 4 (b) 0 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 2:53 PM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1)*v)\/(v**(-2)*v)*v**(-1\/3)\/v**(-2\/3) assuming v is positive.\nAnswer: v**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 32*x**3\/7 - 1272*x**2\/7 + 2140*x\/7 - 456\/7 = 0?\nAnswer: 1\/4, 3\/2, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-6))\/((-30)\/36).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dxxxxdmxxmmddbd. What is prob of sequence dmmm?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.4, 46, 1\/4, 14, 6\/23, 3?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jnwkkvjkk. What is prob of picking 3 k and 1 v?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*z + 0)*(0*z - z + 0*z) + 2*z**2 - z**2 - 3*z**2 + (-1 + 6 - 4)*(5*z - z**2 - 5*z) - z**2 + z - z.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-23)*(21736\/104)\/(-1254).\nAnswer: 1\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f*f**(-3\/10)*f)\/f)\/(f\/(f\/f**(-28\/9)))*(f\/f**32)**(-11) assuming f is positive.\nAnswer: f**(31213\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4*(-6)\/120 - (-52)\/10. Let f = -3 - -3. Let t = -0.04 - f. Sort -2\/21, 2\/13, t, g in increasing order.\nAnswer: -2\/21, t, 2\/13, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -347 - -382. Calculate the remainder when 103 is divided by i.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17541 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0283828894 rounded to 4 dps?\nAnswer: -0.0284","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-308)\/(-1232) - 19\/(-4). What is the nearest to d in 1\/10, 0.33, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 12*d**2 - 4*d - 9. Let l(n) = 6*n - 11. Let b be l(4). Let f be v(b). Calculate the common denominator of (-1 + f)*13\/(-286) and 27\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66356 (base 15) to base 3.\nAnswer: -121111111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - (-6 + (2 - -1)). Solve q = -v*q - 12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/78294265 and -17\/373765?\nAnswer: 4619361635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 3707835274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 279375029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 67*o + 44*o + 8*o**3 - 2*o**3 + 23*o**3 + 35*o + 2*o**4 + 2*o**2 to u*o + c*o**3 + l*o**2 + d + t*o**4 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 + 2.7. Let d be 5 + (2 + 1 + -3 - 3). Suppose 0 = d*g - 2*x + 16, 4*x - 22 = -g - x. Which is the smallest value? (a) 0.2 (b) g (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 45 in 0.5, 5, 7.2, 1\/4?\nAnswer: 7.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y**2. Let s(u) be the first derivative of -20*u**3 + 148 - 27*u**3 - 31*u**3 + 13*u**3 + 10*u**3. Give x(s(t)).\nAnswer: 81675*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/sqrt(4))\/sqrt(12) + (sqrt(4) + 1*sqrt(4))\/sqrt(2) + sqrt(2).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 + 10 - m**2)*(7 - 1 - 1) in the form s*m + u*m**2 + r and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zza when three letters picked without replacement from zzazaaaaaa.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13352 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - -1*(-5)\/5. Is -8 less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*c**3 + 1503*c**2 - c - 2925 wrt c.\nAnswer: 18*c + 3006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i**4 - 403*i**3 + 436*i**2 + 12336229*i?\nAnswer: 12*i**2 - 2418*i + 872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 6, -8292, -2 in increasing order.\nAnswer: -8292, -6, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/3)*j\/(j**(-1)*j)*j**(-7)*j*j**(3\/5)\/j)\/(j**2*(j\/j**(3\/5))\/j)**(-14\/11) assuming j is positive.\nAnswer: j**(-542\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8440 or -6543?\nAnswer: -8440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34\/(-2023))\/(-1)*68\/40.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + 122*i + 2878. Calculate l(-34).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 98.95 * 8\nAnswer: 791.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 - 71 = 15*d. Suppose -3*g = -9, 131*f + 66 = 134*f - d*g. Factor -3\/2*p**2 - f*p - 96.\nAnswer: -3*(p + 8)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -4*a - 4, -5*x + 5*a = -24 - 11 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s + 15. Let b be r(5). Let x(j) = j**3 - 7*j**2 - 16*j + 20. What is the hundreds digit of x(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -12, 2\/3, -3, -3.3?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 91971?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -411, -2379, -7683, -17979, -34923, -60171, -95379, -142203?\n\"Answer: -276*a**3 - 12*a**2 - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1664 and 465664.\nAnswer: 6053632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 4 - 4)*(-4*l**4 - 3*l**4 + 3*l**4) + (l**4 + 0*l**4 + l**4)*(-2*l + 0*l + 4*l) - 2*l**5 + 8*l**5 + 5*l**5.\nAnswer: 19*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -565*i**2 + 565*i**2 - 2*i + i**3 + 5. Calculate the lowest common multiple of r(2) and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 5*n**2 - 6*n + 1. Let k(t) = t**3 + 13*t**2 - 14*t - 6. Let l be k(-14). Determine o(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 6.4. Let u = 2.4 + -1. Let w = l + u. Which is the nearest to w? (a) 4 (b) -1\/6 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 25, 11, 5, 1, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -12*x - 1. Let i(z) = -84*z - 3. Let f(g) = -i(g) + 6*q(g). Let h(u) = u - 1. Give -f(a) + 5*h(a).\nAnswer: -7*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 i when three letters picked without replacement from {o: 2, a: 4, i: 6}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/(399\/28)*1\/(-4).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-1 - 3 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 723810 and 724687 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -4*x + 10. Let p be f(3). Let d be 3\/(-6)*-1*p. Is 9 a factor of d*(57*-1)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -19, -34, -45, -52, -55, -54?\n\"Answer: 2*x**2 - 21*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - 1 - ((-15 - -4) + 37 + -121)?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a micrometer in nanometers?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5654 - -5671. Solve 0 = 2*b + i + 15, 3*i + 37 = -b + k for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 5 (b) -2 (c) 15\/11 (d) 135 (e) 0 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 6:19 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -10 + (7 - (13 + -7))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/7 + (-4)\/14. Let m be (-12)\/78 - 92652\/(-91). Let t = 1022 - m. Solve c = -w - w + t for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-3*((sqrt(117)*2 + sqrt(117))*-2 + sqrt(117)))\/(sqrt(324) + sqrt(324)*3 + sqrt(9) - (sqrt(36)*2 + sqrt(36))).\nAnswer: -15*sqrt(13)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 1180*g**2 - 80239*g - 63. Determine i(68).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-36)*-16 + 2. Let x = 8\/21 + h. What is the closest to x in 8, 0.1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4\/2 - 19*c**3\/2 + 63*c**2 + 72*c.\nAnswer: -c*(c - 6)*(c + 1)*(c + 24)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand h - 13*h + 0*h + 1 - 3*h - 1 + (-2*h + 4*h - h)*(5 - 1 - 2).\nAnswer: -13*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 128 and 20512?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, r: 2, p: 3, g: 1, f: 1, s: 9}. What is prob of sequence jpsf?\nAnswer: 9\/10336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/1152 and -121\/640.\nAnswer: 5760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 294966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 499.0979 litres to millilitres.\nAnswer: 499097.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/3530 and 47\/85?\nAnswer: 60010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1735 and 6645.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 25 - 15 = -90*h + 86*h, -16*h + 3*j = -65 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 8*l + 3. Let k be n(6). Let y be 3\/(-5) + 19\/k. Let s = -33\/148 + -1\/37. Which is the nearest to y? (a) -1\/8 (b) s (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 13 + 5 = 0. Solve h*t = -3*x - 21, 0 = t - x - 2*x - 6 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/7? (a) -3\/4 (b) 5\/6 (c) 2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2*d = 7, -5*f - 3*d + d + 19 = 0. Let j be (f\/(-2))\/(10\/(-97333300)). Let l be j\/(-20) - (-2)\/(-8). What is l rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2 - 1)*(31 + 2*u**2 - 31) as g*u + o*u**2 + s and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of 8*g**3\/3 - 7*g. Let s(r) = -2*r - 3. Let x(u) = -u - 2. Let o(q) = 2*s(q) - 3*x(q). Give o(w(t)).\nAnswer: -16*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6978?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -4*z + 5*w, 2 + 3 = -z + w. Suppose 11*o - 6*o = z. Suppose 9*t - 7*t - 10 = o. Solve -t*d + 0*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7514350?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -704 + 95. Let r(s) = s**3 + 14*s**2 + 3*s - 2. Let o be r(-15). Let x = o - b. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10694 = -30*t - 10604 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-130732)\/(-115) - (-2)\/10 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 180?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*j - 12*j - 3*a + 8 = 0, 0 = 3*j - a + 8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 45324+88185962\nAnswer: 88231286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of m**5\/20 - 5*m**4\/4 - m**3 + 11*m**2\/2 + 5*m. Let t be n(15). What is t rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 643*m**3 - 5*m**2 + 5*m + 834. Let v(s) = -s**3 - 2*s + 2. Let u(j) = r(j) + 3*v(j). What is the second derivative of u(f) wrt f?\nAnswer: 3840*f - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*t**4 + 2*t**4 - t**4 + (-5*t + 5*t - 2*t)*(-3*t**3 + 2*t**3 - t**3).\nAnswer: 10*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -237 (base 13) to base 10.\nAnswer: -384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 53 - 11. Suppose 0 = 4*y - h - 11. Suppose -3*b + y = -2*b. Solve -8 = 4*r + 4*c, 3*r = -2*c - b + 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15095258?\nAnswer: 2, 101, 74729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5*a + 78 = 0, 3*d + a - 141 = -2*d. Calculate the greatest common factor of 232 and d.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307445423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 10:34 AM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 32.9 or -2\/17?\nAnswer: 32.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4310702, -8621407, -12932112, -17242817, -21553522?\n\"Answer: -4310705*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-6) - 25\/(-30). Let z(k) = k - 1 + 2*k - v + 3. Let y be z(1). What is the smallest value in y, -0.5, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -422052632, -422052628, -422052624, -422052620, -422052616?\nAnswer: -422052612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -g**2\/6 - 3532*g\/3 - 21165\/2 = 0?\nAnswer: -7055, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -5086*d**2 - 5. Let i(o) = -2*o. What is i(b(u))?\nAnswer: 10172*u**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7.1 or -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 4. Suppose -33 = -4*g + 23. Solve 4*o - r*l = 7, g = 4*o - 5*l - 3 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229*c - 248*c - 228 = 0 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -314*d - 85*d = -68*d + 1986. Let j(h) = -h**3 - h**2 - h. Let r(o) = -5*o**3 + o**2 - 2*o - 5. Let q(s) = 6*j(s) - r(s). Calculate q(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -5*s**3 - 10*s**2 + 9*s + 3. Let y(r) be the first derivative of 3*r**4\/2 + 10*r**3\/3 - 4*r**2 - 4*r + 7. Let g(b) = -4*c(b) - 3*y(b). Factor g(t).\nAnswer: 2*t*(t - 1)*(t + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2060 - 1369 = -3*f - 3*n, -4*f - 5*n = -4575. List the prime factors of f.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (145\/29 + -5 + 0)\/2. Suppose -27 = -5*v + 88. Suppose k - 9 = h, -2*k + v = -3*h - z*h. Solve 6 = -t + k*a + 1, 5*t + 4*a = -25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**2 - 28. Let s(q) = 2*q + 1828. Determine s(u(j)).\nAnswer: 4*j**2 + 1772","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -49, -74, -99?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175125?\nAnswer: 3, 5, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1175671, 2351302, 3526931, 4702558?\nAnswer: 5878183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*y + 17*y + 1220. Let i = -76 + 115. Suppose i*t - 37*t - y = 0. Is 24 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/3)*o)**(-2\/41))**(-23) assuming o is positive.\nAnswer: o**(230\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 491364 and 63?\nAnswer: 3439548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*y)*(0 + 3 - 1) - 1 + 1 - y - 3 - 1 + 2 - 4*y.\nAnswer: -9*y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 15) to base 10\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12812700 plus 33.5?\nAnswer: 12812733.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 632\/37699?\nAnswer: 632\/37699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.01 <= 0.035?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o**4 - o**2. Let g(v) = 6*v**4 - 2*v**2. Let i(m) = 2*g(m) - 5*k(m). Find the third derivative of i(h) wrt h.\nAnswer: -72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 3*f**2 - 5*f - 2. Suppose 9 = 3*b - 2*u + 23, 4*b = 5*u - 21. What is p(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 37 and 148?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 48886093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/25*(3 - -2). Suppose 4*a + 3*k - 57 = 0, -3*k + r*k = 5*a - 74. 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: Let d = 1862\/55 - 172\/5. What is the smallest value in 0.3, d, 0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 318727154 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 7:13 AM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**3 + n**2 + 2*n + 1. Suppose 3*y = 4*p + 11, -2*y + 8 = -2*p + 2*y. Let d(w) = w**2 + w - 3. Let i be d(p). Give k(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 + -2)\/(-15) + (-278)\/(-3). Let p = 116 + m. Find the common denominator of p\/30 + (-48)\/12 and -25\/33.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/780 and 109\/1101940.\nAnswer: 42975660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) 6.37 (b) -0.3 (c) -8\/3 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 5:58 PM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1132 or -1158?\nAnswer: -1132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37 - -49. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -299*q**3 - 126*q**3 - 340*q**2 + 23*q**3 - 1675*q**2 wrt q?\nAnswer: -2412","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 2*y - 9. Find the third derivative of 0*h**3 + 23 - 23 + 2*h**y + h**2 wrt h.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 5*u - 15, -4*u + q + 12 = 3*q. Suppose 2*o = 3*o + 3. Let r(z) = -2*z - 3. Let g be r(o). Solve u*h - 1 - 2 = -s, g*s = -h + 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -366911 != -366327?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3\/7, 5, 3, -0.1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l + 3*x + 15, -45544*l + 45545*l + 5*x = -25 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4258 - 3940*h**4 + 1613*h**3 + 1975*h**4 + 1964*h**4 with respect to h.\nAnswer: -4*h**3 + 4839*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + o = -5, m + o + 5 = -0*o. Which is the closest to 2? (a) -1 (b) m (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*(o*o**(13\/5))\/o*o))**(-1\/35))**(5\/6) assuming o is positive.\nAnswer: o**(3\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 31 = -11. Let k be 4\/16 + 25\/h. Let p = -5 - k. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/3*3)\/((-260)\/(-12) + -9)\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1900 less than or equal to 1899?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + c = -36. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**3 + 787*d**2 - 784*d - 1572 = 0. What is d?\nAnswer: -1, 2, 786","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 13*x**2 + 4*x - 9. Let g(f) = -39*f**2 - 11*f + 26. Let o(h) = 6*g(h) + 17*z(h). Let v be o(-3). What is v rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**2. Suppose -d - 2 = 0, -11*q = -12*q - 4*d - 6. Let y(a) = 5*a**q - 181 + 0*a**2 + 95 + 90. Give b(y(m)).\nAnswer: 50*m**4 + 80*m**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 3136?\nAnswer: 1\/392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2374*n - 139*n - 22617 = 0 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**(-3\/7)*x\/(x*x\/(x\/((x**(2\/31)*x)\/x))) assuming x is positive.\nAnswer: x**(296\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18.6 - 14. Let p = j + -7.6. What is the biggest value in -1\/7, p, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than -4036.41?\nAnswer: -4036.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -10956 divided by 913\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + 7*p - 2. Let k be b(5). Suppose -k + 3 = -l. Let q be 6\/15 - 72\/255. What is the closest to 1 in l, q, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**2 - 3*a - 1. Let f be k(-3). Let l = f + 7. Let x(q) = q**3 + 9*q**2 + q + 7. Let w be x(-9). Sort 3, l, w.\nAnswer: l, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 - (4 - ((15 + -15 - -14) + -10))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**3 + o**2 - 4*o - 4. Let s be q(4). Let d = 9325 + -9442. Let g = s + d. Is 5 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -i**4\/12 - 3*i**2 + 6*i. Let a(x) be the first derivative of w(x). Calculate a(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -104 - -46. Let b = g + 104. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x. Let l(a) = 580500*a. Determine l(f(m)).\nAnswer: 580500*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3242 = -2*c + 9450. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 16 + 0 - (3 + 2 + 2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (m - 67 + 42 + 41)*(-2 - 1 + 1 + (0 + 1 - 2)*(-3 - 3 + 5))*(0*m + 2*m**2 + 0*m) as k*m**3 + p + r*m**2 + y*m and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -58 + 9951*d**2 - 19914*d**2 + 9962*d**2 - 3*d + (3*d - 3*d + d)*(d - 4*d + d).\nAnswer: -3*d**2 - 3*d - 58","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/9)\/((-8)\/18))\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**2 - 4. Let x(q) = 3*q**2 - 7. Let k(l) = 7*m(l) - 4*x(l). Let p(o) = o**2. Calculate p(k(i)).\nAnswer: 4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 361*j**3 - 361*j**3 - 3*j + 2*j**4 + 3*j**5 + (-7*j**4 + 60*j - 60*j)*(j + 3 - 3).\nAnswer: -4*j**5 + 2*j**4 - 3*j - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 823780?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 6*g - 4. Let r(q) = -11*q + 7. What is -3*r(v) - 5*u(v)?\nAnswer: 3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12292719 is divided by 51650?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -10174?\nAnswer: 10175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/2*-3 + 3. Let v = d - 3. Suppose 3*q = 5*q + 8, 0 = v*o + 5*q - 7. Is 7 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1074921?\nAnswer: 3, 59, 6073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 93405 divided by -18681\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -30\/1519 and (-18)\/(-4)*2205\/6860?\nAnswer: 12152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -239a07 - 0?\nAnswer: -239a07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31 by 71412.\nAnswer: -31\/71412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201122 - 202112002?\nAnswer: -210020201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5918149 litres to millilitres.\nAnswer: 591.8149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-53)\/2)\/((-28)\/(-168)). Let k = -63 - w. What is the highest common factor of 24 and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24\/108 + (-356)\/(-18) and 114?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 9:22 PM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i - 1. Let w(x) = -39*x + 7. Let y(q) = w(q) + 6*z(q). Let v(p) be the third derivative of 0*p + 1\/12*p**4 - 260*p**2 + 0 + 0*p**3. What is v(y(n))?\nAnswer: -66*n + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9\/7, -2\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 824?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23585392?\nAnswer: 2, 17, 86711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 4:27 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 33*b**2 + 64*b + 53. Determine g(-31).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 18*x - 229. Let b(q) = 25*q - 237. Let c(w) = -4*b(w) + 5*j(w). Give c(-20).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*q - 28827 = 69*q. What are the prime factors of q?\nAnswer: 3, 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -22, -2, 2\/9 in increasing order.\nAnswer: -22, -2, 0.2, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of -11*t + 1\/4*t**4 - 11\/2*t**2 + 3*t**3 + 6. Let b be o(-10). Let a(p) = -p**2 - 2*p - 1. What is a(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 4*z + 28, -6*i + 3*i = 6 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(-836)*-95*((-52)\/120)\/13.\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 17105.36 grams?\nAnswer: 17.10536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 5*a**2 - 8*a + 6. Let o(g) = 5 + 3*g - 3 + 3*g + 4*g**2. Suppose 362*d = 319*d - 86. Let y be o(d). What is f(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-16)\/24)\/((-6)\/117))\/(1\/(-1))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of j**6\/72 - j**5\/30 - j**4\/8 + j**3\/9 + 50*j**2. Solve b(d) = 0.\nAnswer: -1, 1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 395617 (b) 7\/18 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 25*u**2 - 5. Let c(m) = 12*m**2 - 2. Suppose 2 = 18*g - 19*g. What is g*j(p) + 5*c(p)?\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - f. Let l be d(-1). Let r = 531 - 525. Suppose 3*y = -l + r. Solve 2*q = 3*w - 2, 4*q - 3*w = -y + 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12072869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*2*(-3)\/4. Let x be (-33)\/(-3) + -4 + i. Let s(y) = 2*y**3 - y**2 + 4*y - 1. Is s(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/(-10))\/((-6)\/15))\/((-655)\/6550)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 21201 - 1735?\nAnswer: 17244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 14.1 * -32286\nAnswer: -455232.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3300) - (3*sqrt(3300) + sqrt(3300) - sqrt(3300)))*4*6)\/((sqrt(264)\/(sqrt(8) + sqrt(200)))\/(sqrt(12)\/sqrt(4)*-2 - sqrt(3))).\nAnswer: 8640*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -137853 * 0.5.\nAnswer: -68926.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000021332 to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1.49 * 22\nAnswer: -32.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 - 23 = -w. What is the units digit of 3*1\/(-2)*w\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 - -48. Suppose 0 = -5*x + 145 + 35. Suppose -2*j + 2*g + x = 2, 5*g = -15. What is the remainder when c is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 e when two letters picked without replacement from eyeyyy?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**2 + 6*m + 9. Let i(w) = -2*w**2 - 5*w - 8. Suppose 9*q - 4*q = 0. Suppose h - 16 + 10 = q. Determine h*j(s) + 7*i(s).\nAnswer: -2*s**2 + s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 0*i**2 + 2*i**2 + 5*i - 3*i - 1 - i**2. Let d be z(1). What is the second derivative of g**3 + d*g**4 - 2*g - g**3 + 0*g**4 wrt g?\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 98 - 36 - 27 + 524*p + 103*p - 30 in the form z*p + l and give z.\nAnswer: 627","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1157646.72 rounded to the nearest 100?\nAnswer: -1157600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 109 + 701. Suppose 0 = j - 2*j + b. Round j to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 43, 277, 7, 1, 4 in descending order.\nAnswer: 277, 43, 7, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*f + 870183 = 870435 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -1 - 19*x + 11 + 92*x**2 - 103*x + 9 - 6. Is g(-19) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 1153*w**2 - 13*w + 9. Is v(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 439983?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 125629 and 4795?\nAnswer: 959","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*h**2*q*v*z - 2*h**2*q - 9*h**2*v*z + 2*h**2*z - 11*h*q*v + 2*q*v*z + q*v + 4*v wrt h?\nAnswer: 10*q*v*z - 4*q - 18*v*z + 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0783252 days to milliseconds.\nAnswer: 6767297.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8734)\/(-110) + 6\/10?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1565 is divided by 159?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 48*w**2 + 7*w - 723. Let a be y(-50). Is a at least 3926?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.077741 to three decimal places.\nAnswer: 0.078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*s = 193 + 332. Solve 182*k - 185*k = s for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2318944 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of 1\/10*s**4 + 8\/15*s**3 + 90 - 1\/5*s**2 - 8\/5*s. Determine f so that c(f) = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 177\/26 - 1541\/234. Which is the fifth biggest value? (a) -0.5 (b) -5 (c) -53 (d) -1 (e) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((s**(3\/10)\/s)\/s*s)\/s*s)\/((s*s**(-8))\/s*s))\/(s**(-1\/8)*s*s\/(s\/(s\/((s\/s**4)\/s)))))\/(s**11\/s*s**(-2\/11)*s)**(1\/16) assuming s is positive.\nAnswer: s**(-221\/880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (98 + 191*q - 98)*((-2*q + q + 2*q)*(-3 + 5 - 1) + 5*q - 3*q + 0*q).\nAnswer: 573*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9254*h + 3404*h + 3505*h + h**2 + 2345*h.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 133219*g**3*o**4 + 2*g**3*o**2 + 2*g**3*o + 1201*g*o**2 + o**4 - 2*o**2 wrt o.\nAnswer: 3197256*g**3*o + 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (8 - 17 - -10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + -2 - -46) + (0 - 16 - -10)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3661*n - 3660*n - 2*m + 2, 6*m - 6 = 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36 + -35. Let i(f) = 13*f + 2. Let b be i(c). Find the second derivative of 10*j + 8*j**5 + 6*j + b*j wrt j.\nAnswer: 160*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, w: 2, c: 2, h: 1, o: 1}. What is prob of sequence wco?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 116848 and 4796.\nAnswer: 1285328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 0*u - 2*u + (2*u - 2*u - u)*(0 + 0 - 1) + 0*u + 2*u + 0*u + 2*u - 4*u + u + 12*u - 24 + 24)*(6*u**2 - u**2 - 3*u**2)*(2*u - 3 + 3)*(2 + 30 + 7).\nAnswer: 1872*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2273 + 892*h + 2266 - 4539)*(-9*h**2 + 9*h**2 + 7*h**3).\nAnswer: 6244*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*x**3 + 13*x**3 - 8*x**3.\nAnswer: -25*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m**2 + 5. Let q(l) = 3*l**2 + 4. Let c(a) = 4*i(a) - 5*q(a). Let s(w) = -2*w**2. Calculate c(s(p)).\nAnswer: -12*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -m - 18, 205*w + 4*m - 13 = 200*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26588*y**3 - 8857*y**3 - 8867*y**3 - 8855*y**3 - 25*y.\nAnswer: 9*y**3 - 25*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 j when three letters picked without replacement from {h: 7, k: 2, g: 1, j: 2}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 319565 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5089.376 rounded to the nearest 100?\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2. Let j(x) be the third derivative of -x**5\/40 + 3*x**3\/2 - 7*x**2. Let z(l) be the first derivative of j(l). What is z(q(w))?\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12091895 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 31 * -24747\nAnswer: -767157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.094 - -0.194. Let p = 13\/3 + -4. Is p smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2)\/(q\/q**(-2\/13)))**(2\/13) assuming q is positive.\nAnswer: q**(-82\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - -25. Let y = g - 20. Let c(d) be the first derivative of d**4\/2 + 3*d**2 + 2. Let b(f) = 2*f**3 + 7*f. What is y*c(o) + 6*b(o)?\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t - 8. Let j be r(8). Let n = j + 84. Suppose 70*p = n*p. Solve p = -y - 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of h**3\/3 - h**2 - 3*h + 1. Let f(t) = -5*t**2 + 11*t + 16. Let d = -6 + 6. Let p = -4 + d. Determine p*f(g) - 22*w(g).\nAnswer: -2*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 40 * 18.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-2)*o**(2\/23))**(-22))**(-30) assuming o is positive.\nAnswer: o**(46860\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-8)*-2)\/(2\/(-6))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**13*m)\/m)**(1\/29)*(m**(9\/2)*m)**(6\/17))**32 assuming m is positive.\nAnswer: m**(24096\/493)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*b + x - 76, 8*b + 4*x - 74 = -90 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 27 + a?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 2*f = -j + 19, 4*j + 2*f - 10 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.919999529 - -6.92. Round o to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -70\/39709?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2392816428 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 3*g + 2*b = 1063891, 0 = -5*g + 8*b + 1063861. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*f + 210 - 630 = 19*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(19 + -22) + (-780)\/(7 + -20).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o + 1 - 1 + (3 + 2 - 4)*(0*o + o + o) as g + a*o and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4e (base 16) to base 15\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v - 3. Suppose -18 = 3*x - 6*x. Let l be k(x). Solve -4*c + l = -3*o + 2, 4*o = c - 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of 0*i + 4*i**3 - 31*i**2 - 1\/120*i**5 - 11\/24*i**4 + 0. Let h(a) be the first derivative of c(a). What is h(-10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 217, 966, 2231, 4012, 6309, 9122?\nAnswer: 12451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -5*x**2 - x + 1. Let h be y(1). Suppose -5*p - 2*t + 25 = 0, 5*t + 0*t + 11 = -2*p. Let k = p + h. Solve -4*v - 4 = -d + k*d, -v - 4 = d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2689 and -0.07918393?\nAnswer: 2689.07918393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 8:41 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 925180, -3, -8.\nAnswer: -8, -3, 925180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -136*y**2 + 245*y. Let r(n) = 269*n**2 - 491*n. Let s(i) = 5*j(i) + 2*r(i). What is the second derivative of s(z) wrt z?\nAnswer: -284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of v**3\/6 - 2*v**2 + v. Calculate o(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1892 + 1132. Let z be -3 - d\/((-5)\/(-1)). Does 7 divide z\/7 + (-10)\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6549, 13100, 19651, 26202, 32753, 39304?\nAnswer: 45855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1438 and 10.\nAnswer: 7190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 9:44 AM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 2. Let g be (-3 - -6) + ((-8)\/4 - 0). Does g = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61080 rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, m: 2, g: 4}. What is prob of picking 3 w?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 86*p + 174. What is q(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -1\/1257292?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -210.6848?\nAnswer: -210.6848","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2683 = -11*t + 2650 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 267441406?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00013601415 rounded to six dps?\nAnswer: 0.000136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 5 (c) -0.01 (d) 0.016\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 16 = -2*z, 2*k + 218 - 198 = z. Let t(i) be the third derivative of i**5\/60 + 7*i**4\/24 - i**3\/2 + 2*i**2. Give t(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.061 - -0.061. Let j = -0.1 - -5.1. Which is the closest to i? (a) 0.3 (b) j (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3123448?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of b**8\/168 - 4*b**7\/105 + b**6\/12 - b**5\/15 + 5*b**2\/2 - b. Let u(z) be the first derivative of j(z). Factor u(h).\nAnswer: 2*h**2*(h - 2)*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 - 11*f - 18. Let g be s(-6). Suppose 15*c - 198 = g*c. Let x = 114 - c. What is the lowest common multiple of 9 and x?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 44, 80, 114, 146, 176, 204, 230?\n\"Answer: -k**2 + 39*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (79\/(296250\/(-24)))\/((-4)\/10)?\nAnswer: 2\/125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-510)\/(-4))\/((177\/4)\/59). Solve 39*y = 5*y - j for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 0.21, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o**2. Let s = 83 - 76. Suppose s*a = 17*a - 30. Let m(n) = -n**3 - 2*n**2. What is a*m(p) + 2*h(p)?\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/42 - 264\/(-14). Suppose m*l - 14*l + 80 = 0. Let k = l - -18. Solve -5*f + k = -3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80793737.\nAnswer: 619, 130523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**4 + 2*z**4 + 6*z**4)*(-55 + 18 + 8 - 37)*(4 - 4 + 4).\nAnswer: -2640*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyyyyyyyyyyyymy. What is prob of picking 3 y?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -2308.7783?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 127 + -123. Suppose -199 = -z*d - 183. Suppose -j = d*y - 324, 3*j = 5*y - 340 + 1244. What are the prime factors of j?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/i**(1\/17)*i\/(i*i**(-6)))\/(i**(-1\/2))**(-14) assuming i is positive.\nAnswer: i**(16\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*((sqrt(350)*2 - sqrt(350) - sqrt(350))*5)\/(sqrt(56)\/(sqrt(8) - sqrt(72))))\/(sqrt(1000)*-2 - -2*sqrt(40) - sqrt(90)\/(5*sqrt(9)*-1)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that m**4\/5 + 180369*m**3 + 203355899419*m**2\/5 + 2236359211227*m - 2277030571480 = 0.\nAnswer: -450895, -56, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*s + s. Suppose 867 = -6*k + s. Let n = k + 140. Sort n, 0.2, -0.11, 2.\nAnswer: n, -0.11, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 18 = -4*k, -130*s - 3*k = -129*s + 14 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -231, -760, -1575, -2676, -4063?\n\"Answer: -143*g**2 - 100*g + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + 13*n - 5. List the prime factors of z(8).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 PM and 11:51 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 - -2. Suppose -3*y + 5*y = -4*f + 16, -5*f - 4*y + h = 0. Factor o**2 + 2 + o**f - o + 5*o.\nAnswer: 2*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 3\/4*n**3 + 6*n**2 - 7*n - 1\/4*n**4 = 0. What is n?\nAnswer: -4, -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2042, 0 in decreasing order.\nAnswer: 2042, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -442 = -169*q + 189 - 124. Solve q = 3*r - t + 4*t, -1 = -r + 4*t for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 998, 2183, 3554, 5111, 6854, 8783, 10898?\n\"Answer: 93*r**2 + 906*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 3*x**2 + 4*x**4 - 4 - 5*x**4 + x**2 as p + a*x**3 + n*x**2 + k*x**4 + d*x and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*h**2 - 64*h**2 - 35*h**2)*(3*h**2 - 3*h**2 + h**2) + (6 - 1 - 3)*(-2*h**4 - h**3 + h**3).\nAnswer: -63*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6077.4937 + 6078. What is h rounded to 2 dps?\nAnswer: 0.51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109, 691, 1661, 3019, 4765?\nAnswer: 6899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.7104063 - -4.7104114. Let q = -0.01 - 1.99. Let b = q - n. What is b rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 80*v + 105. Let s(u) = -29*u - 35. What is 4*j(b) + 11*s(b)?\nAnswer: b + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7 + 135\/(-20))*0. Let g be i - (-6 + 4 + 0). Solve g = 3*n + l + 19, 0 = -n - 5*l - 29 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89854444 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - t + 2. Let x be o(-2). Let d be 5 - 0 - (x + 2). Let j(u) = -2 + 2 + d*u**2. Let l(r) = -2*r. Calculate l(j(w)).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 113 and -16104364.\nAnswer: -16104251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 >= 2096\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*c + 23. Let u be 4 + c\/(-15)*5. Suppose -u*y - 245 = -11*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tffi when four letters picked without replacement from fziszsfsifssszmtmzft.\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -2\/15, -2, 1.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2*u = 4, 5*u - 10 = q - 5*q. Suppose -2*l + 3*j - 219994 = q, j - 110004 = l + 3*j. What is l rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 3:11 AM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/18 and -83\/94584.\nAnswer: 283752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4457\/35 - 890\/7. Factor 0*i + 1\/5 - b*i**2.\nAnswer: -(i - 1)*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 16 and 92 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 160, 3, 79, 5, -4 in ascending order.\nAnswer: -4, -3, 3, 5, 79, 160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4842.734316+5.1\nAnswer: 4847.834316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 - 41. Let b = 668992 + -668973.99945. Let c = b + h. Round c to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 596, 1573, 2550?\n\"Answer: 977*z - 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.3 - -43.3. Let g = i + -41.32. Round g to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.01, -1, -2\/19, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 24\/11, 5, 8587?\nAnswer: 8587","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 525.053ml to litres.\nAnswer: 0.525053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 208327?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - -1. Let j(a) = 8*a**2 + a + 1. Let n be j(2). Suppose k + 15 = n. What is the smallest common multiple of k and z?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of 13*p**9\/5040 + 11*p**5\/40 - 2*p**4\/3 - 12*p - 2. Let u(n) be the third derivative of r(n). Differentiate u(l) wrt l.\nAnswer: 156*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 5 = q + v, -4*q + 3*v = 5. Let a be (4 - 1) + -1 - 6. Sort q, 3, a in ascending order.\nAnswer: a, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {r: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 163 + -136. Suppose 196 = -20*o + a*o. Solve 0 = -2*q + o - 36 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4672 divided by -1168.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-9)\/(((g*g*(g**(6\/19)*g)\/g*g)\/g)\/g))**(4\/9))**(-1\/40))**(-21\/8) assuming g is positive.\nAnswer: g**(-343\/1140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(13) + 0 - sqrt(13))*2 - (-6*sqrt(104)\/(sqrt(8) - sqrt(288)))**2.\nAnswer: -518\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 17 + -14 + -4.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1738470368 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 105, 123, 0, 1 in increasing order.\nAnswer: 0, 1, 5, 105, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppvvsssdv. What is prob of sequence sv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 9) to base 2.\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 7:58 AM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -47064, 1\/15, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 - 33. Suppose 3*d = -4*t - 2*d + 682, 3*t + 2*d - 508 = 0. Suppose t = -i*u + 3*u. Calculate the highest common divisor of u and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*n - 46*n = -3. Suppose -2*g = -0*g - 5*c - 39, 0 = 3*g + n*c - 90. What is the highest common factor of 351 and g?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mfdmmdfdmddddm. What is prob of sequence fmfm?\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-40)\/7 - (4\/(-14))\/((-24)\/(-504)). What is the closest to -2\/95 in 4, 0.1, w, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199636.\nAnswer: 2, 29, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 37? (a) -2.7 (b) 3 (c) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((31 + -94)*7\/(-42))\/(-3).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/19, 0, 12, 1 in ascending order.\nAnswer: 0, 1\/19, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39564 = -44*p - 389*p + 29172 for p.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10906*c + 1639*c + 5470*c to the form q + b*c and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 238*n**2 + 3*n + 111. Let d(p) = -239*p**2 - 3*p - 93. What is 6*d(a) + 5*u(a)?\nAnswer: -244*a**2 - 3*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3, -0.2, -2, -100117, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -5*i**2 + i - 1. Let v(p) = 14*p**2 - 4*p + 3. Let w(q) = 11*k(q) + 4*v(q). Let z = 11 + -8. Let h(r) = -27 + r**2 + 27 - r. Determine z*h(c) - w(c).\nAnswer: 2*c**2 + 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186670*o - 186672*o - 2 = -2*l, -2*o = 4*l - 4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = r, 2*r + 18 + 88 = 5*k. Let z be ((-90)\/k)\/((-1)\/(-6)). Is 6 a factor of -4 + 2 - 1 - z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6602, 6592, 6582, 6572, 6562, 6552?\nAnswer: 6542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31394505, -31394507, -31394509, -31394511, -31394513?\nAnswer: -31394515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10\/(-5))\/((-2)\/(-8)). Let i = 15 + n. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4967 - 1385. Let h = l + -21359\/6. What is the common denominator of h and 109\/22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 6*p. Let h(x) be the second derivative of x**3\/6 + x. Let k = 17 + 10. Suppose 0 = -2*y + 3*g + 4, -4*y - 4*g - 34 = -2. Give k*h(l) + y*j(l).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q = -5*y - 53, 5*q - 9328*y = -9325*y + 32 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231*g - 45425 = -236*g. What is the remainder when g is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 82 + -2 + (-1)\/(-1). What is the greatest common factor of k and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6 + 2)\/12*0. Suppose s = -3*r + 34 + 101. What is the remainder when r is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*c*k - 1786487*c - 68816016*k wrt c?\nAnswer: 9*k - 1786487","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sjn when three letters picked without replacement from {j: 6, n: 5, s: 2}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 332\/21 + -1702\/105. What is the fifth biggest value in -0.3, g, 3, -3\/8, -2\/17?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 14) to base 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 110.81 - 70.81. Are -2.38 and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b06 (base 13) in base 11?\nAnswer: 3063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17286253 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -437 and 344107?\nAnswer: -150374759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1b0 - 88b?\nAnswer: -a4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 0*p + 39. Suppose -200 = 5*d - l - 64, d - 2*l = -20. What is the remainder when p is divided by d\/(-4)*(5 - (-2 - -5))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*18\/8)\/((-9)\/1*106\/(-318))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Work out -114.742 * -0.3.\nAnswer: 34.4226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (408 + 962 - 117)*(-3 + 6 - 1)*(0 + 3*l + 0) as y + d*l and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + (-6)\/(-3) + 2. What is the lowest common multiple of 11 and (b*(-28)\/2)\/(-2)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*n + 7 = 0, 5*u - n = -20 + 100. Suppose -2*d = u*d - 71459. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 812 and 11.\nAnswer: 8932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11548 or -11442?\nAnswer: -11548","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -2*r + 3*z, 0 = -2*r + 6*r + 3*z - 25 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 145388*g. Let n(z) = 2*z**2. What is r(n(l))?\nAnswer: 290776*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a0 - -4?\nAnswer: 1a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**3 - 3483150*h**2 + 27865440*h - 55731040.\nAnswer: -5*(h - 4)**2*(h + 696638)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - f - f)*((-3 - 1 + 6)*(4*f - 2*f - f) + 0*f + 3*f - f + 0 + 0 - f - f + f - 6*f + f - 3*f - 3*f + (-7*f + 0 + 0)*(-2 + 1 + 0)).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 6:26 PM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5200*k + 2597*k = -2602*k - 3*x - 20, -3*x - 2*x = -4*k + 24 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 2*t. Solve t = 5*s - 3*g + 6, s + 9 = -3*s + g for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -234*h*n**2*q**2 - 99*h*n**2 - 164*h + 96*n*q**2 + n wrt n?\nAnswer: -468*h*q**2 - 198*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -60 + 6. Let t = 35 + d. Let q = t - -33. Calculate the remainder when 27 is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 4*l - 14 = l, -5*n = -4*l + 15 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 197 + -136. Suppose x = 4*u - 71. Calculate the remainder when u is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(350)\/(sqrt(80)\/sqrt(32))*-4)\/(1*(sqrt(7)*3 + sqrt(7)) + sqrt(21)\/sqrt(3)*-5).\nAnswer: 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 4. Let u(a) = 2. Suppose -5*l - 200 = -0*l. Let r = -24 - l. Suppose 0 = 4*m + 3*n - 23, -r - 15 = -3*m - 5*n. Determine m*h(o) + 5*u(o).\nAnswer: -2*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*(-434)\/(-63)*(1166\/(-44))\/(-53).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*w + 99*w**2 + 11*w + 89*w - 97*w**2 - 116*w.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37362?\nAnswer: 2, 3, 13, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33\/77560 or 1?\nAnswer: 33\/77560","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 124db?\nAnswer: 12500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**3 + 5*t**2 - 2012*t - 7997. Calculate q(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 92*g**2*s**2 - 4*g**2*s*x**3 - 4*g*s**2*x**3 + 7*g*s*x - g*x**3 + s**2*x**2 + 8*x**2 wrt g?\nAnswer: 184*s**2 - 8*s*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b = -7*b - 6. Suppose -3*f + 16 = f, 2*f + 19 = b*l. Solve 2*t - 5*t - l = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 14. Let q be 16\/48*(1 + n). Solve q = a, 3*o - 3*a + a - 12 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7543 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 5*h + 5. Let b(d) = d - 1. Give -4*b(r) + i(r).\nAnswer: r + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -130a + -4?\nAnswer: -1312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -23060, -46121, -69182?\n\"Answer: -23061*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*o**4 - 24*o**3 - 332*o**2 + 2688*o - 3920 = 0. What is o?\nAnswer: -10, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 6*x + 2*x = 4, -4*p + 7 = 3*x. Let u be 8015441\/418 - p\/38. Let v = u + -19179. What is the common denominator of -39\/2 and v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -11. Suppose 0 = -t, -4*f = 4*t - 26 - a. Let c be (-3)\/((12\/(-9))\/4). Calculate the greatest common divisor of c and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/15 - (-28)\/6. Suppose 52 = -u*m + 7. Let i(p) = p**2 + 9*p + 11. What is the remainder when 21 is divided by i(m)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/15)\/((-8)\/1120). Let l = 19 + o. What is the closest to -1 in l, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18081.8586 to the nearest 10.\nAnswer: -18080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*b + 37*b - 22*b**2 + 41*b**2 - 17*b**2.\nAnswer: 2*b**2 - 30*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eleven halves of a milligram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3.222 and -0.1.\nAnswer: -3.322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1093970606?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*n + 11*l = 67*n - 36, 40 = 3*n - 4*l for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) 70 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001033821 rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-70)*(5780\/136 - 39)\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.31 - -0.59. Let u = o + 1.54. What is u rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/1122 and 143\/24.\nAnswer: 4488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**5 - 1496*i**4 + 140802*i**3 - 3732028*i**2 + 13286200*i - 12746832 = 0.\nAnswer: 2, 42, 59, 643","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 46\/552 - (-158)\/480. Let k = -1\/80 + q. Which is the smallest value? (a) -1\/5 (b) k (c) 70\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u + 15*u - 5*u)*(159*u**4 - 252*u**4 - 464*u**4).\nAnswer: -2785*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1221.\nAnswer: 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*m**3 + 43 + 140 - 183.\nAnswer: 29*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5768.176 days to seconds.\nAnswer: 498370406.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 7*c - 2968. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-72)\/8)\/27)\/(3\/(-189)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 28729 times -9648\nAnswer: -277177392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3984?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.39 and -0.6454491.\nAnswer: -0.2554491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 9. Let l = y - -6. Let g be (-1)\/16*2*-2. Which is the smallest value? (a) l (b) -0.5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -41697*z - 792235. What is q(-19)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 16*l + 2638. Let f be r(0). Let v = f - -14173. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 276936*f**2*v**3 - 2*f**2*v**2 + 2*f*v**3 - 148*f*v - v**3 - 6*v wrt f?\nAnswer: 553872*v**3 - 4*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 36653?\nAnswer: 293224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -7*z**2 - 3*z + 7. Let b(q) = -15*q**2 - 7*q + 15. Let j(l) = -6*b(l) + 13*k(l). Give j(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 5*v = -229, 4*p - 4*v = 10320 - 10132 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 5*i - 13409, 3*i + 3*b - 340 = 7700. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 2, -7.\nAnswer: -7, -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -2*t**5\/5 + 3*t**4 - 6*t**3 + 5. Factor q(z).\nAnswer: -2*z**2*(z - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a minute in milliseconds?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k**2 - 6*k - 30. Let o be y(-13). Let r = o - -307. Solve -4*g - r + 37 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1255951?\nAnswer: 619, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2229 is divided by 431?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -450*v - 304*v - 971*v = 170775 for v.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 15) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.6 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-12)\/96)\/(-3*(-30)\/(-729)) and -21\/100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 734 divide 234716874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 105831 and 19242.\nAnswer: 211662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2997740?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10005000 rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 102*u**2 - 750*u - 181. What is n(94)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rq when two letters picked without replacement from {q: 1, f: 1, r: 1, h: 1, z: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + 95. What is the highest common divisor of 17 and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 427713836?\nAnswer: 4277138360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 2*q**2 - 3*q + 3. Let y be p(-3). Let m(b) = b**2 - 10*b + 28. Let r be m(6). Solve -r*c + y = -3*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (112\/(-30) + 2)*24\/48 + 4\/20.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 458 - 392. Let b be (-6)\/(-4)*44\/k. Solve 0 = -v - b - 1 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a microsecond in nanoseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of 21*f**4\/4 + 4*f**3\/3 - 5*f**2\/2 + 8*f + 89. What are the prime factors of i(3)?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**3 + 25*i**2 - 12*i + 12. Let o be f(-13). Sort -4, 20, -3, o in decreasing order.\nAnswer: 20, o, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(((-45)\/(-27))\/((-4)\/6)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((((-36)\/(-21))\/(-6))\/2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 8, -3, 140, 11, 13, 3 in descending order.\nAnswer: 140, 13, 11, 8, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**2 - 6 + 12*r**2 - r - 3*r**4 - 3*r**3 + 4*r = 0 for r.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 60953727?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4320 and 33402645.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -3*k + 35, -5*k - 3*g = -7*g - 47. What is the greatest common factor of 11 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -303 - 180 - 2*x + 5*x.\nAnswer: 3*x - 483","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f\/(f**(2\/7)*f)))\/f)\/f)**(1\/11)\/(f\/((f**(3\/8)\/f)\/f*f)*f\/(f\/(f*(f**(-2\/39)\/f)\/f)*f)*f) assuming f is positive.\nAnswer: f**(-17527\/24024)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/3)\/(5 + 17\/(-3)). Let i(j) = j - 4. Let t be i(5). Let h = -15 - -15.2. What is the closest to z in -2, t, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssh when three letters picked without replacement from {s: 2, h: 7, d: 1}.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 92 + x**3 + 2*x**3 + 82 - 137*x - 175 - 4*x**3 as i + z*x**3 + q*x**2 + m*x and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47 - -49. Suppose j*k = -2*k + p + 125, 3*p - 45 = -2*k. Find the common denominator of -103\/10 and (-68)\/k*(-10)\/(-8).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 175252?\nAnswer: -175256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1528*v**2 - 5506*v**2 - 5325*v**2 - 14587*v**2 to l*v**2 + d*v + i and give l.\nAnswer: -23890","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -127 + 124. Let w be (1\/(-1))\/15*-2. Sort w, z, -4 in ascending order.\nAnswer: -4, z, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5022819, 5022821, 5022821, 5022819, 5022815, 5022809, 5022801?\nAnswer: 5022791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -49 in 5, 0.1, 0.33?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a + 4*a + 2*a + (-3 + 1 + 3)*(-4*a + 3*a + 3*a) + 3 - a - 3 + 0*a - 2*a + 0*a - 88*a - 31*a - 79*a + (2 - 2 - 4*a)*(2 + 1 - 4) as k*a + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**3 + 21*u**2 - 17*u + 90. Let w be t(-16). Let m = w + 7153. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261*l = 744822 - 749259 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -385585.53 rounded to the nearest 10000?\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h + 1578842 - 1578842.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 1 - 6*a - 3.\nAnswer: -6*a - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -23700, 5, -1, 0, 3 in decreasing order.\nAnswer: 5, 3, 0, -1, -16, -23700","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7597523 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6285 - -6315. What is the fourth biggest value in 2, q, -13, -1?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, 15, 121, 343, 723, 1303, 2125?\nAnswer: 3231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 2, f: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*(-6)\/20*12\/(-3))\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 4 + (sqrt(500) + 0)*2 + -1.\nAnswer: 5 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 divided by -42?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 0.2. Let o = 0.3 - q. Let y = -3.4 + 3.6. Which is the second smallest value? (a) o (b) 3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4164 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2dd3 - -437?\nAnswer: -299a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 15*r + 5. Suppose -10*j + 5*p = -9*j - 4, 2*p = r*j - 64. Is 8 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 6*x**2 + 2*x. Suppose -1008*i + 470*i = 1076. Let n(d) = -d**3 - 11*d**2 - 5*d + 1. Determine i*n(t) - 5*z(t).\nAnswer: -3*t**3 - 8*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2469 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of -3*d**7\/70 - 13*d**3\/6 - 15*d**2. Differentiate z(f) with respect to f.\nAnswer: -36*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 3276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3*y = 1. Let p be y\/(-6) + (-76)\/(-24). Sort p, 2, 1 in decreasing order.\nAnswer: p, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 8*j**2 + 8*j + 2. Let k be d(-7). Let s = -0.638 - -0.938. Which is the nearest to s? (a) -6 (b) k (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1483592?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(136\/32 + 10\/(-2)). Suppose 4*j - 132 = 3*a, 0*j = -3*j - g*a + 124. Calculate the remainder when 49 is divided by j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 10. What is the tens digit of 3*f*44\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -d - 79. Let p = 70 + d. List the prime factors of p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 2020 = -60*r, 1073*i = 1076*i - 4*r + 121 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 8:16 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61, 117, 173, 229, 285?\nAnswer: 341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 3, -387, -3, 2\/15?\nAnswer: -387","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + x**2 + x - 600. Suppose -4*f - 7 - 2 = 3*n, 4*n = 2*f + 10. Let s = n - 1. Let p be m(s). What is p rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15\/18*(35 - 1). Let f = i + -28. Let y = -0.5 + 0. Put y, -1\/3, f in descending order.\nAnswer: f, -1\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 6120224.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000018435 rounded to 6 decimal places?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 14.8. Let d = -0.2 - w. What is the third smallest value in 3, d, -1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19125265751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of (2*5)\/(4 + (-60)\/16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**16*t*t**4*(t**(-1))**(-13\/3))**46 assuming t is positive.\nAnswer: t**(3496\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17527 + 17513 = 80*w. What are the prime factors of w?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14278801 = 92*v + 14270245 for v.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/11092 and -77\/564.\nAnswer: 33276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 12 = -3*i - 96, i = -y + 20. Let a = -10941 - -10962. What is the remainder when y is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-29)\/(4785\/220).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 - 10. Suppose 2*g - 2*i - 3*i = 1394, 2*g + 3*i = 1362. Suppose -g = -4*y + 105. What is the highest common factor of y and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 10*z**2 + 3*z - 1. Let t be c(-2). Suppose 0 = 3*a + 4*m - 79, 5*a = -2*m + t + 94. Is a a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23 and 38\/14 - (-4 - (-78)\/21).\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 + 5*o + 24. Let j be g(8). Solve 4*s = -j*s + 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*z = -36*z + 17. Let x be z*8\/(-2) + 78\/3. Calculate the highest common divisor of x and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 59582\/35 or 1701?\nAnswer: 1701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vdvrrtdtdvtdtttwv. What is prob of picking 1 r and 1 w?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1819 at least as big as 58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.8 - -2. Let p be -141*26\/39 - -11. What is the smallest value in 0.5, p, v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.51*-0.274\nAnswer: -0.13974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(10 + 11 - 11)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -3*a. Suppose -2*i + 6 = -4. Let h(b) = -38 + i*b + 16 + 22. Calculate h(k(p)).\nAnswer: -15*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 393 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 5*x - 27 + 7 + 9 + 10. Suppose 8 = o + 2*d + 3*d, 2*d = -5*o + 17. Suppose o*l = -l + 16. Let n(j) = -j. Determine l*n(v) + q(v).\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1\/(-3) + (-19)\/((-114)\/3104) is divided by 31?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 27*a**2 + 14*a + 26. Let g(v) = -13*v**2 - 7*v - 13. Let x(j) = 5*g(j) + 2*h(j). What is the hundreds digit of x(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 14691 - -133738. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/123*(-2)\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 13258, 13085, 12912, 12739, 12566, 12393?\n\"Answer: -173*o + 13431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 27403.33 millilitres?\nAnswer: 27.40333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one eighths of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -3*s - 6. Let b(t) = -t**3 + 6*t**2 + 10*t + 4. Let p be b(6). Let a = -52 + p. Suppose 2*l - 10 = 2*h, 2*l = 3*h - 2*l + a. Calculate v(h).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3723699 or 3723668?\nAnswer: 3723699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 2*t + 14, v = -t - 4*t + 17. Let h(l) = 2*l**v + 98*l - 98*l. Let w(j) = -2*j**2. Calculate w(h(u)).\nAnswer: -8*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*b**2*g - 332*b**2 + 5*b*g - 2*b - 105245*g wrt b.\nAnswer: 6*b*g - 664*b + 5*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(119) - (sqrt(119) + sqrt(119)*-2 + sqrt(119))))\/sqrt(7) + 3)**2.\nAnswer: -24*sqrt(17) + 281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1522 + 5?\nAnswer: 1531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -1\/3*l**4 + 0*l - 1\/6*l**3 + 0*l**2 + 0 - 1\/6*l**5 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1600*j - 13478 = -466*j + 18274 for j.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 164111 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.4, -0.1, -671, 3, -3, 9\/2.\nAnswer: -671, -3, -1.4, -0.1, 3, 9\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -486, -1040, -1652, -2322?\nAnswer: -3050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13400 (base 5) to base 2.\nAnswer: -10001001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3742, 3725, 3698, 3661, 3614?\nAnswer: 3557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 98. Calculate v(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1011 - 110122?\nAnswer: -102111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 + 321 = -44*t for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + l = 2*w, 4*w - 18 = 3*l for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.05 - -0.45. Let c = d + -0.2. What is the nearest to -2 in 1, c, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19762 + -19762.529995. Let f = 0.588 - 0.058. Let m = d + f. What is m rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6778 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -16620, -66381, -149282, -265323, -414504, -596825?\n\"Answer: -16570*s**2 - 51*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**4\/3 + 28*n**3\/3 - 98*n**2\/3.\nAnswer: -2*n**2*(n - 7)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/8 or -16.8?\nAnswer: -16.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 377?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = -8*s + 12*s. Suppose 15 = 22*t - s*t. Solve -l - t = -2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1448666280 to the nearest integer?\nAnswer: 38061","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 5*z - 842, -4*b + 2*b + 4*z + 418 = 0. What is the least common multiple of 36 and b?\nAnswer: 2556","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157 = -4*i + 5*i. Is i\/(9 + -4 + -4) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 9:57 AM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + 2)*(0*h + 5*h**2 - 5*h + 6*h) to the form z*h + b + f*h**2 and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 78103?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 + 17*q - 10. Calculate the remainder when 45 is divided by x(-18).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199638683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -13.1. Let g = 1 - h. Let m(r) = r**2 + 6*r + 5. Let z be m(-5). Which is the biggest value? (a) z (b) g (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wxwxxbp. Give prob of picking 1 p and 2 x.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -5*(5 - 7)*22.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41930888023 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of 11*d**3\/3 - 49*d**2\/2 + 14*d. Let s be w(7). What is the remainder when (-1)\/((-213)\/s - -2) is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -46, -4, -9483, -3 in descending order.\nAnswer: -3, -4, -46, -9483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.30140557 to 1 decimal place.\nAnswer: 17.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-2)\/(-4)*45\/((-73935)\/424).\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 8*a + 27. Let v be j(-11). Let s = -751\/6 - -376\/3. Sort s, 34\/7, v.\nAnswer: v, s, 34\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 7\/3, 6, 1\/4, -11 in increasing order.\nAnswer: -11, -2, 1\/4, 7\/3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 25 = k + h, -2*k = h - 15. Let l(a) be the third derivative of -a**4\/24 - 2*a**3\/3 - 1281*a**2. Calculate l(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 172 and 42914.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -7*a - 1. Let x(u) = 3*u + 2. Let v(n) = n - 1. Let o(q) = -v(q) - x(q). Calculate 5*o(i) - 3*p(i).\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.0262 to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 - -844?\nAnswer: 84b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 403.981 + -404. Let v = 0.119 + w. Let z = 0.2 - -0.3. What is the second biggest value in 2\/7, z, -1\/4, v?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -51*a**3*u**2 - 4*a**2*u**2 - a*u**2 + 4*a*u wrt a.\nAnswer: -306*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, n: 15}. What is prob of picking 2 n?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 8:29 PM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + (331 + -297 + -20 + 0 - 75).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -19.4 and 0.4?\nAnswer: -7.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 + -0.2. Suppose -l = -5*r - 66, 0 = r - 0*l + 4*l + 9. Let q be (((-65)\/30)\/r)\/((-2)\/2). Which is smaller: q or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 1) + 50\/14.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*m**4*p + 453*m**2*p**3 + 2*m*p**3 + 2*m + 47*p wrt m?\nAnswer: 36*m**2*p + 906*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vcmc when four letters picked without replacement from mvmmmmemmmmmmmccm?\nAnswer: 13\/28560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s = -8*s + 3*v + 11, 4*v = -20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -446030*s + 892122*s - 446077*s. Let l(i) = -4*i + 2*i + 3*i. Give 22*l(j) - 2*x(j).\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6208 - 1574. What are the prime factors of p?\nAnswer: 2, 7, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 278043.8*14.8\nAnswer: 4115048.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1493*y - 1733*y = 1992*y + 3970*y - 49616 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6036.928 + 5966. Let a = -0.072 + c. Let k = a + 67.1. Round k to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -619012, -619020, -619040, -619078, -619140, -619232, -619360?\nAnswer: -619530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 43*f - 19*f**2 - 2*f**4 + 11*f**3 - 3 - 3*f - 27*f.\nAnswer: -(f - 3)*(f - 1)**2*(2*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 (base 16) in base 3?\nAnswer: -10120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 - 10 - 214*x - 4 as t*x + s and give t.\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 39, -0.4, 0.07, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 247*r - 1931. Calculate the remainder when u(9) is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-6) + ((-140)\/(-60))\/(-7). Is p bigger than 655.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/108 and 23\/1370895.\nAnswer: 49352220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2243*0.7.\nAnswer: 1570.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 107, 5, -2 in descending order.\nAnswer: 107, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16165774.\nAnswer: 2, 107, 75541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -15*w**3 + w + 1. Let t be m(-1). Solve y = -2*y - t for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, k: 1, n: 3, o: 1, y: 8, u: 1}. What is prob of sequence uk?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of z**5\/30 + z**3\/6 + 38*z**2 - 64. Let f(t) be the second derivative of n(t). Let b be 2\/6 - 8\/6. What is f(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y\/y**3)\/y*y)**33)**2 assuming y is positive.\nAnswer: y**(-66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5300764 to the power of 1\/3, to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2841?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (111932\/(-14))\/(128\/(-56))*(14 + -6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 156\/13 - 8 - -749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - a - 7 = 0, -3*a - 28 = -5*h - 4*a. Calculate the remainder when 11 is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (153 - 146)\/((-63)\/15) + (-94)\/3.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**2\/5 - 4386186*s\/5 - 17544792\/5 = 0 for s.\nAnswer: -4, 1462066","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(90\/(-42)) + 4\/(-10). What is the closest to 1 in y, -5, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (4 + 0 - (43 - 32))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -11. Solve y*r = 2*r - 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-240)\/(-160))\/(1\/(32\/(-28)))\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 20, -13 in descending order.\nAnswer: 20, 3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/55 + 12\/55. What is the closest to -5 in b, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -227 (base 8) to base 5\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 351 is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 8) to base 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -5, 2 in descending order.\nAnswer: 2, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -70 - -100. Let n = q - 11. Let h = 14 - n. Which is the nearest to 2\/5? (a) h (b) -0.1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**26\/f)*f)\/f**(-33) assuming f is positive.\nAnswer: f**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-9)*(-6)\/(-7)*(-639)\/(-142).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2974003?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -a262 (base 13) to base 5\nAnswer: -1204023","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 54 - 49. Let i be 3\/p - -12*(-294)\/(-45). Let y = i + 1480. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 - 1. Calculate c(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 149084 a multiple of 231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53123, 53104, 53085, 53066, 53047, 53028?\nAnswer: 53009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 4:38 AM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -6858\/19 less than or equal to -361?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2424252614?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s**2 - 11*s + 5. Let d be k(-4). Let c be 10\/d*(-30)\/(-50). What is the highest common factor of 114 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -6 (c) 3\/11 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -2*k + 12, -3*u + 2*k = 2*u + 13. Let x be (-24)\/14 - (-2)\/(-7). Is u at most x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + (-2 - -4) + 3. Suppose 2*w - d = -1. Suppose 0 = -2*y + 2*g + 20, -3*g + 2 = w*y - 4. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6548996, 6548997, 6548998, 6548999, 6549000, 6549001?\nAnswer: 6549002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 6*x**2 - 5*x + 5. Let a be p(5). Suppose -4*m = a*s - 11, -12 = m + 4*s - 1. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1987*p**3*t + 4*p**3*x - 4013587*p**2*x**2 - 258*t*x**2 + 188*t*x - x**2 wrt t.\nAnswer: 1987*p**3 - 258*x**2 + 188*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 236 - 236.1756. Let j = 0.0456 + v. Let b = -0.27 + -0.03. Is b smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82156?\nAnswer: 2, 19, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44 + 20. Let r = -24 - b. Let f = 361 - 362. What is the smallest value in f, -0.3, r, -1\/8?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 118671, 474736, 1068179, 1899000?\nAnswer: 2967199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + (-12)\/(-2) + (-52)\/14. Let t = 16 - 19. What is the closest to 2\/11 in t, 5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9 (b) -1 (c) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1400 + -11578. Let q = s - -155833\/12. Calculate the common denominator of 155\/42 and q.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 4*t**2 + 2. Let i be q(-4). Suppose -5*p - i = 8. Sort -0.5, p, 2\/3.\nAnswer: p, -0.5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((120\/1800)\/(-1*6\/(-162)))\/(6\/220).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10588 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: Suppose 0 = 773*o - 776*o + 3. Which is the nearest to 1? (a) o (b) -35 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39741509 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46649.\nAnswer: 46649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14096990 to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 16*d**2 + 13*d + 28. Let f be (6\/(-30)*5)\/(2\/(-30)). Let a be s(f). Put -4, a, -7 in increasing order.\nAnswer: -7, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 divided by -1?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 271279817 to the power of 1\/4, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -156 (base 7) in base 15?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 0*p + 9. Let v be ((-6)\/(-9) - 2)*-3. Which is the biggest value? (a) p (b) v (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, -3, 2\/5, -19, -63?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.2 - 0.6. Let b = g + -0.1. Let i = b - 0.4. What is the nearest to i in 2\/13, -2, -1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 590 is divided by 289.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -916*m = -913*m - 9, -45006 = -4*z + 2*m. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.1, 2511, 0, -6 in ascending order.\nAnswer: -6, 0, 1.1, 2511","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-4 - -8 - 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/5)\/o**(-23\/4)*(o*o**(-4))\/(o\/o**(-24)*o))**(-8) assuming o is positive.\nAnswer: o**(922\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 108.0719 decades to centuries.\nAnswer: 10.80719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4370*r - 4380*r + 6900 = 0. What is the greatest common factor of 4 and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/sqrt(96) - (sqrt(144)\/sqrt(8))\/sqrt(9).\nAnswer: -3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (42\/(-10) - 88\/110) + 0\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s - 2*k - 3*k - 22, -18 = -2*s + 5*k for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + 0 - (-161 + (-2 - 3)). Suppose 0 = -5*w - g + 464. Is 4 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/20961 and 19\/2370922?\nAnswer: 21338298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1033*p**4 - 1018 wrt p?\nAnswer: -4132*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 1\/5, -1, 0.1, -1\/12?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35 + -3. Suppose 40559 = 277*i + 11751. Calculate the greatest common divisor of i and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + 1052\/3)*(-6)\/(-7). Let s = -7142016 - -399936391\/56. Let z = s + n. What is the common denominator of z and -32\/11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -0*o + 15. Let w(z) = z + 2. Let a be w(o). Solve 23 = -i - 5*u, -2*i = 2*u + a - 1 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/((-28)\/40) - 3744\/(-182). Solve 19 = -c*o - 157 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 3*q + 7, 2*n = -3*q - 21 + 34 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*l - l = 13*l - 170 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -346, 75 in increasing order.\nAnswer: -346, 4, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 125033 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 468160447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13020 a multiple of 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 52*c**6 - 37*c**4 - 9*c**2 - 4*c + 76?\nAnswer: 6240*c**3 - 888*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 l when two letters picked without replacement from itvlt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 39826 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2224314 is divided by 317753?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(3\/2))\/b)\/b**(-2\/5))**(-25)\/((b*b*b**(2\/13)\/b*b*b*b**(-1\/2))\/(b*b**(2\/7)*b**(-2)\/b)) assuming b is positive.\nAnswer: b**(-4720\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12202101102120000 - 1?\nAnswer: -12202101102120001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + -13. Let o(a) = 7*a**3. Let j(g) = -8*g**3. Let t be (10\/(-4))\/(1\/(-2)). Determine t*j(m) + u*o(m).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -42253?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 601664.39 to the nearest 10000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = 9*u + 2. Let y be (-3 + u)*(2 - 1). Let b be 2\/(y\/(50\/4)). Put b, -1, 5 in descending order.\nAnswer: 5, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 886?\nAnswer: 2, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 52 = -5*g, 0 = 290*k - 295*k - 4*g - 130 for k.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.35 - -12.35. What is the closest to s in 1\/5, 3, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d = -5*d + 4*q - 16, 2*d = 3*q + 11. Solve r - 3*r = d*t, -2*t = 2*r for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1797 and 6178685.\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2796.355 and 0.3.\nAnswer: 2796.655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + c**3 - 19*c**2 - 27*c**2 + 47*c**2 + 2*c**3 in the form z*c + y + d*c**2 + x*c**3 and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -86306*i - 258723. Give q(-3).\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21.909 + 24.909. Put l, 4\/7, -43.2 in descending order.\nAnswer: l, 4\/7, -43.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2630 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 150055*c - 900324. Calculate k(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1199 + -385. Suppose 6*z - m = 134. Calculate the remainder when z is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -5, -5*n - v - 109 = -2*v. Let w = -6 - n. Calculate the remainder when 92 is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 80.6, -0.3, 0.04?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wjnu when four letters picked without replacement from juyjwswnuwuu.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2405, -5205, -8031, -10895, -13809, -16785?\n\"Answer: -2*h**3 - h**2 - 2783*h + 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**2 - 9198*v + 2614299 = 0. Calculate v.\nAnswer: 317, 2749","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2*sqrt(120))\/sqrt(8))\/(sqrt(18)\/(-2*sqrt(6))*5).\nAnswer: 12*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15051951?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 10*h**2 - 5*h - 9. Let a be q(9). Suppose -102 = -5*w - a. What is the highest common divisor of 3 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, d: 2}. What is prob of sequence uud?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) + 5*sqrt(85)*2 + sqrt(85))*5)\/(((-1*sqrt(605))\/sqrt(11))\/sqrt(11)).\nAnswer: -60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1748 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 47? (a) 32\/9 (b) 1\/5 (c) 2 (d) 4 (e) 12\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 830 = -2*u - 3*t, -u + 414 = 2*t. Let v = -1073 - -1830. Let h = v - u. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 >= 1368475?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 92\/(-69)*(-18)\/84\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f - 1. Let x(s) = 3*s + 15. Let t(w) = 5*m(w) - x(w). What is t(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50343.\nAnswer: 3, 97, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1946 by -7.\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 3*b - 12 = 0, 5*n - b - 29 + 25 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 9*v + 53 = 0, h + 4*v - 6416 = -6393 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-18)\/(-45))*(-2774)\/95.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/1 - (0 - 17). Is (-7)\/b - 846\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4478944 is divided by 220?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -351*r + 348*r + 4*n, 45 = -r - 5*n for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44.026 - 2.096. Let u = t - -0.07. Which is bigger: 0.1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 28.9 in -0.05, -0.0103, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -650 divided by 130?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 401, -348, -1097, -1846, -2595?\nAnswer: -3344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and -0.064.\nAnswer: -0.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 2. List the prime factors of 37\/2 + (-6)\/g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, s: 2, q: 2, v: 5}. Give prob of sequence hqq.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1446*x - 8674 - 17219 - 5919 = 0 for x.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.2039*327\nAnswer: -66.6753","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + 8\/3)\/((-620)\/48 + 13). Solve a - 48 = -w for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: (1550\/450)\/((-8)\/((-288)\/(-12)))\nAnswer: -31\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 350613776?\nAnswer: 2, 37, 349, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8693 a factor of 1319858018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + -4)*38\/(-4). Suppose -j = 3*j + k - a, 5*j = 3*k + 45. Suppose 144 = j*z + 3*z. What is the greatest common factor of z and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.12*-412.7455.\nAnswer: -49.52946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/5*(10 + -15). Let v = o + 11. Suppose 4*c - 2*h + 2 = 0, -2*c - 2 = -c - h. Sort c, v, -2, -4.\nAnswer: -4, -2, v, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156 + 107 + 141 - 404 - 3*t.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5014, 4976, 4940, 4906, 4874, 4844, 4816?\n\"Answer: t**2 - 41*t + 5054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 343 + -5?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (x**2 + 3*x**2 + x**2)*(0 + 0 + x**2) + 2*x**4 + 0*x**4 - 3*x**4 in the form f*x**2 + c*x**3 + u*x + g*x**4 + m and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 169, 139, 109, 79?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -15*n**2 + 2*n + 3. Let x be g(-3). Let z = -7 + 5. Let m be (80\/6)\/(z\/x). Round m to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -66*j**2 - 107*j**2 + 44*j**2 + (0*j**2 - 5*j**2 + 3*j**2)*(-4 + 4 - 1) + (j + 4*j - 3*j)*(-2*j + 2*j - 2*j).\nAnswer: -131*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + -3)*(((-1530)\/12)\/15 - -8). What is the nearest to a in 0, -0.07, -2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 220 - 210. Let p = 158 + -111. Calculate the remainder when p is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d - 2. Let n(w) = 3*w**2 - 3*w + 6. Let h(r) = n(r) + 3*y(r). Let x(l) = -563*l**2. Calculate h(x(o)).\nAnswer: 950907*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3)\/((-4)\/20*1) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1115 is divided by 160?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 1. Let y(a) = 2*a**2 - 2*a + 5. Let k(r) = -5*w(r) + y(r). Find f such that k(f) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48 + 3850\/242 + 45 + -12.\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6260*s + 6258*s + 6264*s - 25035*s + 6248*s.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 592*w**2 - 1805*w**2 + 593*w**2 + 628*w**2.\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -2, 1\/12, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.986 - -0.014. What is the second biggest value in 0.4, -3, d, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 31901 = -w, 0 = -2217*g + 2218*g + 5*w - 10607. What is the greatest common divisor of g and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30.05 + 30. Let s = -0.15 - d. Put s, 1\/6, 2 in decreasing order.\nAnswer: 2, 1\/6, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sc when two letters picked without replacement from hdchhsscdrhhhcshhccr.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 383974*i**3 - 381091*i**3 - 24 + 170 wrt i.\nAnswer: 8649*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00253572 to five decimal places.\nAnswer: -0.00254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 139 and 581159?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 260761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -515*n**3 - 6185*n**2 - 18600*n - 180 = 0.\nAnswer: -6, -1\/103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = i + 1 - 8, -p - 10 = -4*i. Calculate the lowest common multiple of 10 and (-4)\/(-8) + 39\/p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*i**2 + 47*i**2 - 54*i**2 - 41*i**2 + 27*i**2.\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 1. Suppose 5*i + u = 19, i + 2*u + 1 - 3 = 0. What is the nearest to -0.1 in 0.3, j, i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*d - 13 = 4*w + 80*d - 9, -28 = -4*w + 5*d for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 5*x**2 + 6*x - 5. Suppose 3*a = 0, -5*u + u = 4*a - 36. Suppose 0 = -4*d + 11 + u. List the prime factors of j(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5201327540.\nAnswer: 2, 5, 37, 1531, 4591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 57*s**2 + 350*s + 88. Calculate x(50).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2234 = 26661. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(209)\/(-3*sqrt(11)*-5).\nAnswer: sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -1.4. Let d = x + 0.60000076. Round d to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1957 + -953. Suppose z = 30*c - 346. What is the remainder when 146 is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 455, -6\/190867 in decreasing order.\nAnswer: 455, -6\/190867, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1769 and 1160?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4.5*-6\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 267 and 40317?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*d + 4 = 0, -2*y + 3*d = 4*d - 6. Suppose 4*l + y*z = -l + 3, 5*z - 6 = -4*l. Is -165 greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 233\/18 - 2617\/198. Suppose 5*i - 3*i - 34 = 0. Suppose 0 = b + 4*z - i, 18 = -2*b - z + 6*z. Is p <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 25125252?\nAnswer: 10050100.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1545*v**2 - 778*v**2 + 2*v**4 + 139*v**5 + 6286*v**5 + 5909*v**2 wrt v?\nAnswer: 385500*v**2 + 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*a = -176 + 124 - 200 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1858421 < 1858423?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 5*w**2 - 87*w - 44. Let b = -23 - -60. Calculate the remainder when b is divided by r(18).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 11, 4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 28731*w + 3951. What is the tens digit of f(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 - 28. Solve -2*s + 25 = u*h, 0*s = 5*s - 25 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - h**2 + h - 1. Let p be s(-2). Suppose -t - 1 = p. What is the smallest common multiple of 11 and 1*(0 - 4\/t)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -6*q + 10. Let u be k(-16). Suppose -2*i = u + 58. Let z = -22 - i. Does 8 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -64549975 != -710049712\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - 5*t - 2. Let x be f(-4). What is the units digit of 2*(56\/x + 8\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -141 - -201. What is the remainder when v is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of 94*x + 133*x + 161 + 39*x - x**2 + 21 - 19*x**3. What is the first derivative of b(r) wrt r?\nAnswer: -114*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 0.2, -2\/9, 779?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -3*o**5 - 2271*o**4 - 424077*o**3 + 2159139*o**2 - 3474720*o + 1741932 = 0.\nAnswer: -381, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 14*d**2 + 8*d - 14. Let o be h(2). Suppose 18*i + 81 = 3*k + 22*i, 2*k + 4*i = o. Solve 0 = -8*s + k + 9 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/7)*o*o)\/o**(-13)*o**(-7)*o\/(o**(-6)*o) assuming o is positive.\nAnswer: o**(97\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*q**5 + 1495*q**4 + 8490*q**3 - 12220*q**2 + 2280*q = 0. What is q?\nAnswer: -6, 0, 2\/9, 1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) -2\/25 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - z**2 + 5. Suppose 3*t + 3*w - 3 = 0, w = 4*w - 3. Let y be s(t). What is the highest common factor of y and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4\/6755 - -411447\/1026760. What is the common denominator of -101\/40 and z?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 386\/8 - 36\/(-48). Let o(i) = i**3 - 5*i**2 + 5. Let d be o(5). Suppose 141 = d*y - n. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -100*l**3 - 12*l - 93. Is 24 a factor of p(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 - 10 = 3*h. Let z(x) = x**3 - 6*x**2 + x - 5. Give z(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 2)*(-r + r + 2*r**2)*((-7 + 4 + 16)*(2*r - 2 + 2) + 2*r - 3*r - 5*r).\nAnswer: 120*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 134?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 10\/9, 2\/9, 0.164?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 6*y**2 + 4*y. Calculate the remainder when 14*(-4 + 12) + -3 is divided by x(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 523 and -0.26 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -1\/33089685?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 819611147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 - 21. Let f be k*(-3 + 3)\/4. Which is smaller: 2\/51 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270592066 to the power of 1\/2, to the nearest integer?\nAnswer: 16450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -2311?\nAnswer: 2315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 11011100210 (base 3) to base 2\nAnswer: 10011111111111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3747 + -1852600212\nAnswer: -1852596465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -89237*j**3*k**4 - 2*j**3*k**2 - 3*j**3*k + 674081*j**2*k**2 + 124*j*k**5 wrt k.\nAnswer: -2141688*j**3*k + 7440*j*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/17*g**3 + 0 - 4\/17*g + 6\/17*g**2.\nAnswer: -2*g*(g - 2)*(g - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -80*c**7\/7 - c**4\/4 + 14*c**3\/3 - 247. What is the third derivative of m(l) wrt l?\nAnswer: -9600*l**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/g**(2\/9))\/g)\/(g\/((g*g**2*g)\/g)))\/(g**(-3\/2)\/(g*g**(-1\/3))))\/((g**(1\/2))**(1\/4))**16 assuming g is positive.\nAnswer: g**(35\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4126*m - 8254*m + 4126*m + 325)*(5 - 4 + 7).\nAnswer: -16*m + 2600","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s - 5*s + 2*s)*(4 - 3 + 3)*(2 + 1 - 2) + 114*s - 27*s + 9*s as y*s + c and give y.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.92 rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oojh when four letters picked without replacement from momhhmomhjj.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, -95 in increasing order.\nAnswer: -95, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-2) + (-3)\/6. Suppose x = -p - p - 6. Let b be ((-856)\/(-963))\/(14\/49 - (-32)\/(-63)). Put 20, b, p, 2 in descending order.\nAnswer: 20, 2, p, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from okee. What is prob of picking 2 e and 1 o?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + c**2)*(0*c + 2*c - 3*c) - c**3 + 3*c**3 - 3*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 9, w: 4, e: 3, y: 2}. Give prob of sequence weew.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + g**2 + 3*g)*(-g**2 - 2*g**3 + g**2) + (g**4 - 3*g + 3*g)*(23*g + 26*g - 17*g) - 2*g**5 + 0*g**5 + g**5.\nAnswer: 29*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 15 = 3*u, 4*u - 5*u + 15 = -5*x. Suppose -2*j + u + 54 = 0. What is the greatest common divisor of j and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from bbbbbnbbbbbbbnbbbbb?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15682?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*c + 5*c. Let x = -76 + 81. Let l(p) = -x*p**2 + 5*p**2 + p**3 + 5*p**2 + 2*p - 4. What is l(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 7:08 AM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -85*x**2 - 2801*x + 2953. Determine h(-34).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a + 21. Calculate g(-13).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 183 + -276. Let s = 95.809 + 0.191. Let w = s + f. Which is the third smallest value? (a) -2 (b) w (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/4 + 1827*h**2\/4 - 835395*h\/4 + 833569\/4.\nAnswer: -(h - 913)**2*(h - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 3*l - 2, -l - 6 = -743*h + 742*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 36379, 2\/3 in descending order.\nAnswer: 36379, 2\/3, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -14506*o**3 + 3*o**2 + 9*o. Let w(i) = -87717784*i**3 + 18140*i**2 + 54420*i. Give 18140*s(b) - 3*w(b).\nAnswer: 14512*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5*(-4)\/(-8)*-6. Suppose 9*p = z*p - 12. Solve p*j + 0*x - 2 = 4*x, 2*j + 4*x = 18 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.083 and 46694674?\nAnswer: 46694671.917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -891, -876, -861, -846, -831?\n\"Answer: 15*c - 906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-8)*8\/(-48)*3.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -196932468?\nAnswer: 196932471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -872*14.\nAnswer: -12208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1057 - 14?\nAnswer: -1072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, x: 4, m: 7}. Give prob of sequence mmcm.\nAnswer: 5\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3683\/30 - 341\/3. Find the common denominator of -34\/65 and b.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4 = 0, b - 2*p = 2*p - 11. Let w = -2 + b. Suppose 3*j + 5*u = -6, j - w*u = -7 + 19. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3897 is divided by 615?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -48, -5, -45?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 79.59949 + -0.01949. Let y = -0.58 + j. Let v = -78.967 + y. Round v to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2324, -3145, -3966?\n\"Answer: -821*o - 1503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02658753 rounded to 5 decimal places?\nAnswer: 0.02659","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5 = -5*c - 2, -2*c + 5*r = -8. Let u be c\/(0 - -1) - -24. Calculate the highest common factor of u and 207.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -14*n**3 + n**2 - 3*n - 16. Let p(l) = -l**2 + 2*l - 1. Let y(m) = p(m) + w(m). Let j(i) = -5*i**3 - 6. What is 17*j(b) - 6*y(b)?\nAnswer: -b**3 + 6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6571.529mg?\nAnswer: 6.571529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 260 - -172. Let q = g + -229. Let l = q - 108. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**2 - 13*s - 9. Calculate a(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a = 3*w + 6*a + 8, -w - 4*a = -8 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 44*u**3 + 7*u**2 - 7*u - 7. Let v(z) = -15*z**3 - 2*z**2 + 2*z + 2. Determine 2*d(g) + 7*v(g).\nAnswer: -17*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -4\/13, 2\/3, 1\/7 in ascending order.\nAnswer: -0.4, -4\/13, 1\/7, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = -2*y + 3736. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 128, 138, 152, 176, 216, 278, 368, 492?\nAnswer: 656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**3 - 5*d**2 - 2*d. Let y be t(4). Calculate the greatest common divisor of 4 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14969 - -37607. What are the prime factors of o?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3785 = -154*l + 156*l + 3*q, 2*l - 3784 = -2*q. Calculate the remainder when l is divided by 86.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14724.\nAnswer: 2, 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 23*t**3 + 2*t - 4. Let b(y) = -3129*y**3 - 273*y + 546. What is -6*b(r) - 819*f(r)?\nAnswer: -63*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 283 (base 13) to base 10.\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/4)\/(9\/(-12)). Let r(f) = -5*f**2 + 14*f**2 + 50 - 8 - f**3 - 3*f + 9*f. Let w be r(10). Solve 4*b = -q + 16, -3*q - n*b + 6 = -w for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 672, 628, 522, 354, 124, -168?\n\"Answer: -31*m**2 + 49*m + 654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27427, -54856, -82285, -109714, -137143, -164572?\nAnswer: -192001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**2\/(r**(-1\/11)*r))**(-8\/5) assuming r is positive.\nAnswer: r**(-96\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 4*z = 3*s - 171, -3*s + 5*z + 174 = 0. List the prime factors of s.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*2*(sqrt(13) + sqrt(52)\/sqrt(4))*-3.\nAnswer: 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -139*b**2 + 6*b - 10. Let p(l) = -486*l**2 + 21*l - 36. Calculate 5*p(k) - 18*y(k).\nAnswer: 72*k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1538.\nAnswer: 2, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v = 11*v - 3*w - 39, -5*w + w + 48 = 4*v for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 37091644 to the power of 1\/3, to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 = 8.96?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8994*a**3 - 4565*a**3 - 4828*a**3.\nAnswer: -399*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 24.482037 months?\nAnswer: 0.204016975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264 is divided by 46?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -134190483 divided by 7.\nAnswer: -19170069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 - 8 + 1)*(57*q**4 - 30*q**4 - 31*q**4) - 63*q**4 - 8*q**4 - 6*q**4 in the form t*q**3 + w*q + u*q**2 + p*q**4 + c and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -461.109 to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8641*u**2 - u - 2818*u**2 + 945 - 2865*u**2 - 2819*u**2 with respect to u.\nAnswer: 278*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3567 is divided by 170?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1738770005.\nAnswer: 5, 7, 31, 1602553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.11 + 1.71. Let n = 55.9276 - 54.32. Let a = w - n. Round a to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 298 = b, -4*b = b - j - 1490. Suppose 0 = z + 5*k - b, -292 = -z - 0*z - 3*k. Is z a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*z + 36*z - 2567 = 0. What is the remainder when z is divided by 77?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50289 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -464 + 491. Suppose -5*x + t = -3*s, -5*x - 24 + 75 = -9*s. Solve -x*q + 3 = -2*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 11, s: 2}. Give prob of picking 2 s.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)\/((sqrt(10)*1)\/sqrt(2)) + sqrt(38)\/sqrt(32)*-1)**2.\nAnswer: 171\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 376, 249, 40, -251, -624, -1079, -1616?\n\"Answer: -41*v**2 - 4*v + 421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 divided by -49479?\nAnswer: 28\/49479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*b - 43*b = -160. Let t = 70 + -70.3. What is the second smallest value in b, t, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 + -3.7. Let z = u - -6. Let p = z + -1.9975. Round p to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 130.4100109677 + -130.41. Round v to six dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 7:46 PM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3 + 147*k**2 - 1332*k.\nAnswer: -3*k*(k - 37)*(k - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4 - 14*q**3 + 32*q**2 - 24*q.\nAnswer: 2*q*(q - 3)*(q - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2965*x - 3532 wrt x.\nAnswer: 2965","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*u + 88. Suppose -2*b = -3*b + 31. Let j = b + u. What is the remainder when 41 is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -9*c**2 + 1190*c - 2378. What is b(2)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2*h - 4)*(-279 - 57 + 165 - 256).\nAnswer: -854*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2539410157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus -38449.60196257?\nAnswer: -38450.60196257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56\/231*(-30)\/(-80)*(-6)\/15.\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/144*6*1\/(-1)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g - 4*g + 2*g)*(7 + 4 + 41).\nAnswer: -312*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 45.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**2\/4 + 4584*i + 13034169 = 0. What is i?\nAnswer: -2502, 20838","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbpbpbpbbbeebpbpbp. Give prob of picking 1 p, 1 b, and 1 e.\nAnswer: 44\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4\/551 - 13803\/3857. Suppose 0 = -13*w + 6*w + 35. Calculate the common denominator of u and -5 - 4\/80*w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191*j - 3180 = 7074 + 1397. Calculate the remainder when 866 is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 772544922 to the power of 1\/2, to the nearest integer?\nAnswer: 27795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 41694599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20064 by 418.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -25, -30, -33, -34?\n\"Answer: k**2 - 8*k - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 0. Solve -m - 12 = -r*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 9, -4, -1 in descending order.\nAnswer: 9, 6, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 203 = -5*t, 0*t = 4*t + 3*n - 160. Let u be 2\/((-486)\/117 - -4). Let s = u + t. Solve 0 = 3*r - 3*v + s, 4*r + 0*v + 5*v = 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -30930 or -30929?\nAnswer: -30929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2085699 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 9:00 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 466 - 5827*b**3 + 695 + 106*b**3 wrt b.\nAnswer: -17163*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 divided by -342068?\nAnswer: -47\/342068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 36642, 78022, 119406, 160794, 202186?\n\"Answer: 2*s**2 + 41374*s - 4734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -2*m**4\/3 - 5*m**2\/2 - m. Let b = 646 - 649. Let h(j) = -3 + 61*j - 62*j + j - 4*j**2. What is b*l(u) + 5*h(u)?\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -101455, -101621, -101787, -101953?\nAnswer: -102119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**4\/4 + 1893*y**3\/2 - 3785*y**2\/4.\nAnswer: -y**2*(y - 3785)*(y - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 4:18 AM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vjj when three letters picked without replacement from vpjvjvajpvaappvjvpa?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 195 + -29. Let c = o - 47. Is 13 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -16*h - 8. Suppose t + 4 = -3. Let l be c(t). Let z be l\/10 - 2\/5. What is the greatest common divisor of 80 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7359 a factor of 2064228936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 200926 a multiple of 185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 497 is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 + 2.6?\nAnswer: 75.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2216394?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 1642 = -3*s - 4*t, 0 = 3*s - 2*t - 1658. Suppose 122 = 7*l - s. Suppose 0 = 6*j - 9*j + l. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 6*v + 8. Let n be q(-6). Suppose o - n = -5. Suppose o*d - 159 = -0*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -371 + 2158*a + 174 + 197 + 711*a as g*a + i and give g.\nAnswer: 2869","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 546689.44 in 0.3, 3, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*s - 91*s = 177873 - 787018. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 8*n**3 + n**2 + n - 2. Is c(2) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -2756.\nAnswer: -1\/1378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -6*u + 3. What is l(4)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 12:13 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - (-4)\/2 - (-4)\/4. What is the tens digit of 676\/q + 5*(-5)\/(-75)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 - 363. Let k = 622 + u. List the prime factors of k.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 242*b - 239*b + 5268. Let w = -394 - b. Suppose -i + w = -1657. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 27*w - 171. What is b(-10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 0. Solve x + 1 = l, x = a*x - 2*l - 6 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) - (sqrt(187) - sqrt(187)*-2*-6)) + sqrt(187))\/(sqrt(44)*4).\nAnswer: 13*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -351945.477 - 0.5?\nAnswer: -351945.977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of -497*c**5\/20 + 4243*c**2\/2 - 2*c - 666. Differentiate g(i) with respect to i.\nAnswer: -1491*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 4 + (-4 + 2 - 1)*(-4 + 2 + 1) + (1 + 2 - 1)*(-3 - 3 + 4) - 1 + 1 + 1)*(-12069*c + 176 - 107 - 69) as r*c + v and give r.\nAnswer: -24138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2 - 104*y.\nAnswer: 4*y*(y - 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -33*k**4 - 157*k - 40479 wrt k.\nAnswer: -132*k**3 - 157","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 561 or 0.58?\nAnswer: 561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 482445789?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1203)\/(-1458)*438\/(-304). Let o = i + 2\/1539. Calculate the common denominator of o and 15\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 y, and 1 a when three letters picked without replacement from {n: 1, a: 4, b: 2, g: 6, y: 3}?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/7 + 194*j**2\/7 + 135*j.\nAnswer: j*(j + 5)*(j + 189)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 5608 and 5608 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m + 13. Let i be j(-13). Which is bigger: i or 1\/154?\nAnswer: 1\/154","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oopppppppoppoo. Give prob of picking 3 p.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -35*g**3 + 60*g**3 - 42*g**3 + (2*g + 0*g + 0*g)*(2*g**2 + g - g).\nAnswer: -13*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 27 - 21. Suppose -7 = 3*b - 2*q + 9, -2*b - 12 = -d*q. Let y = 5.6 + -6. What is the nearest to 2 in 1, y, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3 - 6*o**2 + 7*o + 8*o**2 - 9. Let w be (-14)\/(-1)*(-1)\/(-4)*-2. What is the tens digit of l(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s**2 + 4*s - 2. Let a be g(2). Let j be 42\/(-54) + 2\/(-9). Does 16 divide 16*(a\/3)\/j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -100, -105, -120, -151, -204, -285, -400?\nAnswer: -555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m = -3*y + 12, 28 = -2*m - 5*y + 65 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113332 is divided by 361.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 4*a**2 + 10*a - 19. Let m(x) = -x**2 - 3*x + 6. Let j be (-14)\/(-8) - 2 - 774\/(-344). Calculate j*v(q) + 7*m(q).\nAnswer: q**2 - q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - f + 3*f)*(-325 + 40 + 24).\nAnswer: -522*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13095 and 270?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(154)\/sqrt(7))\/sqrt(11) + (sqrt(2) - sqrt(128)).\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 4 = -2*v. Let c be -5*(v\/15 + 1). Does 4 divide c\/10 - 94\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g\/g**0)**(-26)*(g*g**1*g)**(16\/7)*(g\/(g*g*g\/g**(-2\/3)))**(-4\/7)*((g*g*g\/(g**(-6\/7)*g))\/g)\/(g*g\/(g**(2\/11)\/g*g)*g) assuming g is positive.\nAnswer: g**(-16304\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/(-200))\/(2\/(-5)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 758107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12420102?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000004637895 to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -30*((-305)\/15)\/(-1). Let l be v\/(-427) + (-4)\/(-7). Factor -7\/3*c**4 - 19\/3*c**3 - 4\/3 - 16\/3*c - 25\/3*c**l - 1\/3*c**5.\nAnswer: -(c + 1)**3*(c + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + (sqrt(19) - sqrt(57)\/sqrt(3)) + 3)**2 - ((sqrt(19) - sqrt(76)) + 0)**2.\nAnswer: 9 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -70318, -140625, -210932, -281239, -351546, -421853?\n\"Answer: -70307*b - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2394.81 months to decades.\nAnswer: 19.95675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 662 - (0 - ((-6 - -4) + 2)).\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 198 = -3*d, -6*r - d + 230 - 200 + 260 = 0 for r.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 6*o**2 + 2*o + 11. Let d be g(-7). Let y = 49 - d. Let 4*x**2 + 5*x**4 + 5*x**y - 8*x**2 + x**2 - 7*x**2 = 0. What is x?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4169, 8043, 11857, 15581, 19185, 22639, 25913?\n\"Answer: -5*y**3 + 3909*y + 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1669420 to the nearest integer?\nAnswer: 1292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -238 divided by -7\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -161*h + 4. Let q(f) = 12*f + 2. Give 4*q(s) + x(s).\nAnswer: -113*s + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 564\/(-1081)*(-5980)\/416?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 0.3, 773, -88, -9\/4, 2 in decreasing order.\nAnswer: 773, 4, 2, 0.3, 0, -9\/4, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4348 (base 11) in base 8?\nAnswer: -13153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/44*8)\/(-2). Let j = -0.8 + -0.2. Let g = 49 + -47. What is the second biggest value in j, g, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9705417*r**2 - 9964453 wrt r.\nAnswer: 19410834*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -61a (base 12) to base 9.\nAnswer: -1184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/11)\/2)\/(2780\/(-581020)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (2 - 7) - 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -26*y + 13. Let x be l(4). Calculate the remainder when 133 is divided by x\/(-2) - (-4)\/16*-2.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 527*z - 40 = 549*z - 194 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a - 2. Let i(p) = 48*p - 48. Let y(t) = 14*d(t) - i(t). What is y(8)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -191*s - 1138. Determine f(-7).\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is d238d4 (base 15) in base 10?\nAnswer: 9985249","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000006985539366 rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -1 (c) 1 (d) -38941 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 556 by -560.\nAnswer: -139\/140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.2 + 2. Let d = 22.6 + -18.6. Which is the closest to 2\/3? (a) -3 (b) d (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h**(-12)*h)\/h*h)\/h*h)\/h**6*(h**(2\/7)\/h*h)\/(h\/(h\/(h**(2\/13)\/h))))**(2\/47) assuming h is positive.\nAnswer: h**(-2888\/4277)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -582, -588, -596, -606, -618, -632?\nAnswer: -648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 4:30 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 56008?\nAnswer: 28004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -156061*c**5 + 42740*c.\nAnswer: -3121220*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, u: 3, p: 3, i: 4, n: 5}. Give prob of sequence ii.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.06, 88\/3, -2\/5 in descending order.\nAnswer: 88\/3, -0.06, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**3 + 4*f - 4*f)*(4 + 0*f - f - 2 + (4 + 0 - 2)*(2*f - 3*f + 3*f)).\nAnswer: 3*f**4 + 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 43 = z + 3*g, -5*z + 2*g + 280 = 0. Let t(c) = 19*c + 1. Let f be t(2). Solve -11*q**3 - z*q**2 + 31*q**3 + 32*q + f*q**2 - 69*q**2 = 0 for q.\nAnswer: 0, 2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29765, -29900, -30035, -30170?\nAnswer: -30305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3167690, 6335379, 9503068, 12670757?\nAnswer: 15838446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5086, -10264, -15444, -20626, -25810, -30996?\n\"Answer: -i**2 - 5175*i + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 792729 and 43911.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + c - 2*c**2)*(17746*c - 17746*c - 211*c**2).\nAnswer: 422*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 322328, 322325, 322322, 322319, 322316, 322313?\n\"Answer: -3*p + 322331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 3*n + 13 = 0, 0 = -12*u + 10*u - n + 3. Suppose 29*w - 434 = -u*w. Calculate the smallest common multiple of w and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, v: 1, b: 5}. What is prob of picking 3 b and 1 v?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 19*m - 383 = -322, -4*v + 3*v + 8 = -4*m for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16193 a multiple of 212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216912 is divided by 1746.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 2*p**2 - 3 + (-2*p + 5*p - 2*p)*(1 - 1 - 2*p) - 3*p**2 + 6*p**2 + 2*p**2 + (-42*p + 33*p - 28*p)*(2*p + 3*p + 0*p).\nAnswer: -180*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 297 and 91175876?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 6245393.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 381 (base 13) in base 11?\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 6\/25 and 3\/28 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 0.321\nAnswer: 0.0642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3293 + -580470?\nAnswer: -583763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*(((a**(-3)\/a*a)\/a)\/a)\/a))\/a*a*a**8)**(-16\/3) assuming a is positive.\nAnswer: a**(-224\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-81))\/((-6)\/9).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of 17*u**6\/30 - u**3\/3 - 85*u**2 - 147*u. What is the derivative of i(f) wrt f?\nAnswer: 68*f**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 18*p - 14*p - 1 + 15*p to the form l*p + r and give l.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -22*k**2 + 7*k + 3. Calculate i(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/7 or -0.0478002?\nAnswer: -0.0478002","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -137*x - 424. Determine s(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-4)*z*z))**(4\/25)*(z\/z**(-1))\/(z*z**11) assuming z is positive.\nAnswer: z**(-238\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.60176 centuries in decades?\nAnswer: 276.0176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**4\/7 + 11124*q**3\/7 - 55662*q**2\/7 + 44536*q\/7 = 0. Calculate q.\nAnswer: -5567, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.4 (b) 1 (c) -1\/12 (d) -4\/5 (e) 2 (f) 0.958 (g) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 1905*s**2. Let l(v) = 9*v. What is l(o(b))?\nAnswer: 17145*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -39, -3 in increasing order.\nAnswer: -39, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 3*f + g, 5*g - g + 7 = -f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (42\/(-805))\/(32\/((-608)\/(-171)))\nAnswer: -2\/345","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -867 + 862. Which is the second smallest value? (a) 0 (b) 1\/4 (c) q (d) 1 (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11548.6*1092\nAnswer: 12611071.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -306 - -484. Suppose -j + 931 = a. What are the prime factors of a?\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3 = 3*p, 22 + 0 = 2*z - p. Let i be -28*2\/(-4)*27. Calculate the greatest common factor of z and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(1\/5)\/o*o*o**(-2\/23)\/o)\/(((o\/o**6*o)\/o)\/o**(1\/16)) assuming o is positive.\nAnswer: o**(9523\/1840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*q + 166*q = -76*q - 3790 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 + -18. Let r be a\/(-10)*(-200)\/12. Solve 0 = -u + 5*u + r for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -96910*k**2 - 36156?\nAnswer: -193820*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*23.\nAnswer: 6.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 3. Let q = 2 + w. Suppose 4*i - 11 = -q. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28 and 172?\nAnswer: 1204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 11*w + 18. Suppose -16*j + 35 = 179. What are the prime factors of y(j)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**2 - 9*t - 2018. Determine r(-33).\nAnswer: 457","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/56 - 69\/(-21). Suppose -5*k + 9*k = -2*m + 1278, 3*k = -p*m + 1932. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2)\/(i*i**2))\/((i\/i**(-1\/3))\/i**(-4)) assuming i is positive.\nAnswer: i**(-31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 - -37. Let f = k - 11. Suppose 0 = -2*m - 3*m. Are m and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -534, -1393, -2780, -4965, -8218, -12809, -19008, -27085?\n\"Answer: -45*d**3 + 6*d**2 - 562*d + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1328 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 381.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -19.92. Which is bigger: m or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77155883 is divided by 59078?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 + 46 + 46 + -38?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 6) in base 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 (base 12) in base 15?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3160, -6321, -9482?\nAnswer: -12643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 123755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c*(c*c*c*c**(1\/2))\/c*c*c))**(-5)\/((c\/c**(-2\/5))\/((((c\/c**(-1\/5))\/c)\/c)\/c)))\/(((c*c*(c*c**(-1))\/c*c)\/c)**(1\/2))**(4\/37) assuming c is positive.\nAnswer: c**(5271\/370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - (1 + -11 + 15)) + 10 + 38?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (4 - 6) - (14 + (-44 - -20))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2989827285 to the nearest 100000.\nAnswer: -2989800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**5 - p**2. Suppose -8 + 5 = -3*a. Let d(u) = -3*u**5 - u**4 - u**3 + 5*u**2. Let b(x) = a*d(x) + 4*i(x). Factor b(r).\nAnswer: r**2*(r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 504*r + 503*r + 505*r - 1517*r.\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**2 - 102*b - 889. Calculate x(-38).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 107988.5898 microseconds in weeks?\nAnswer: 0.0000001785525625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g**3 - 10*g**2 - g + 5. Calculate j(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 69*m**2 + 27*m + 46. What is the tens digit of v(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 67 + -67. Suppose -m = 5*d - 17, f = -0*m + 4*m - 8. Calculate the remainder when 5 is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dbbhlhbrdhhdrdrl. What is prob of picking 2 r and 1 h?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1373, -409 in descending order.\nAnswer: 1373, -2, -409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.749 and -5.\nAnswer: -3.251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 10:39 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.467 + 0.167. Which is the closest to -2\/5? (a) i (b) -0.04 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 4*g. Let d be r(0). Is d > -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1 + ((sqrt(204)*-2)\/sqrt(12))**2 + (sqrt(1088) - (sqrt(1088) - (sqrt(1088) + -2))*4)).\nAnswer: -61 - 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 + -20)\/((-2)\/(-6)). Let w be (-3)\/(-2)*2040\/d. Is 15 a factor of (w + 3)*(2 - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 780663 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 56407*t - 5527896. Determine a(98).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1900 by -380.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(77) + (sqrt(77) - 1*sqrt(77) - sqrt(77) - sqrt(77) - sqrt(77)) + sqrt(77) + sqrt(77)))\/sqrt(7))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22258620 to the power of 1\/3, to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 155*v**2 + 10266*v - 134041. Determine g(33).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -2*j + 26. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82144.1 rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28731 is divided by 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.042793 times 3\nAnswer: -0.128379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6499939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 19*y. Let v(w) = -15*w + 31*w - 14*w. Determine l(v(m)).\nAnswer: 38*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2035.1 * -28.5.\nAnswer: -58000.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57469*q**3 + 58398*q**3 - 112673*q**3 + 5*q + 5.\nAnswer: 3194*q**3 + 5*q + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00434849506 to five decimal places.\nAnswer: 0.00435","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 3, 5, -2 in descending order.\nAnswer: 5, 3, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-44))\/(935\/66 - 14)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 6*r**2 + 13*r + 2. Does 9 divide j(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 6*k**3 + 11*k**2. Let z be (-4)\/10*(4 - -1). Let j(o) = -17*o**3 + 4*o + 18*o**3 - 4*o + 2*o**2. Calculate z*t(i) + 11*j(i).\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1858, 1876, 1918, 1984, 2074?\n\"Answer: 12*b**2 - 18*b + 1864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 26*o**3 - o**2 + 2*o - 1. Let h be 6\/(-4)*(-10)\/15. Let d(q) = 3*q - 9. What is the remainder when t(h) is divided by d(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40 + -29. Let b = 1 + z. Suppose 396 = 2*d + d. What is the highest common divisor of b and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*m - 208 = -3*z, z = 5*m + 24. What are the prime factors of z?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 21.601503 months?\nAnswer: 0.180012525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 0 + (-4 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + sqrt(5)*3 + 4).\nAnswer: -6*sqrt(5) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 9*l**2 + 2*l - 13. Let p be r(9). Suppose 41 = h - k, 210 = -0*h + p*h - 4*k. Calculate the least common multiple of h and 16.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64*-11.58\nAnswer: -741.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - 27*x + 6. Let a(h) = -13 - 199*h**2 - 1770*h + 197*h**2 + 1823*h. Determine -6*a(t) - 13*n(t).\nAnswer: -t**2 + 33*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 809 divide 1788282803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4\/49 - -131\/196. Which is the nearest to -6? (a) -2 (b) -0.1 (c) k (d) 0.18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 50919280683 - 1.\nAnswer: 50919280682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 3.6?\nAnswer: -7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/((2752\/80 + -35)\/(44\/(-10)))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 - 14*r + 16. Let v be m(5). Let z = v + 73. What is the greatest common divisor of 4 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k. Let t(h) = -11757*h. Calculate s(t(g)).\nAnswer: -23514*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -358*h + 352*h = 12 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (9 - 3) - -2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 7. Let x be 44\/12 - r\/3. Solve 0*h = 2*h + x for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21437341?\nAnswer: 89, 240869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34034 (base 5) to base 14.\nAnswer: -c30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2007 - 1335. What is the units digit of ((-3)\/(-4))\/(63\/o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(84\/(-270396)*-87).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1367 - 1298.1. Let a = u - 68.899689. Round a to five dps.\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 274 = 4*q, f + 30 + 92 = 2*q. Let w = -1 - -4. Calculate the lowest common multiple of q and w.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9287 and 5106370.\nAnswer: 1281698870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-2)*(-6)\/3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + (20 - 12) - (-4 - 8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3268\/11 - -28279\/99. Is s at most as big as -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 71.94 - 71.94018209. What is x rounded to 5 dps?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4, -14, -60, -146, -284, -486, -764?\n\"Answer: -2*p**3 - 2*p**2 + 2*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 270492772*t**3 - t**2 - 325296681*t?\nAnswer: 1622956632*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hbd when three letters picked without replacement from {h: 4, b: 1, q: 4, d: 2}?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -l**4\/24 - l**3\/3 - 6*l**2. Let i(c) = c + 7. Let a be i(-8). Let q = a - -6. Give m(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 999*d**2 + 21401*d + 406. Determine g(21).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + (sqrt(77) + 4*sqrt(77))*4)\/(sqrt(275) - sqrt(275)*-3))**2.\nAnswer: 3087\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2003 (base 5) in base 7?\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**5\/7 - 52*d**4\/7 + 30*d**3\/7 + 3860*d**2\/7 + 13568*d\/7 + 9792\/7 = 0. What is d?\nAnswer: -4, -1, 17, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41 + -27. Let v(o) = o**3. Let k be 2\/10 - (-63)\/35. Suppose 0 = -k*g + 6, 2*q - 4*g + 22 = 7*q. Let r(z) = -6*z**3. Give p*v(t) + q*r(t).\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-8)*o)\/o*o\/(o*o\/(o\/(o**(3\/7)*o))*o)*o*o*o*(o*o**6)\/((o**0*o*o)\/o))**(2\/55) assuming o is positive.\nAnswer: o**(-4\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**3 - 7*v**4 + 2 - 2 - 1 to the form w*v**3 + l + q*v + b*v**2 + i*v**4 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a1 + -35371?\nAnswer: -352c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.004 and 11.\nAnswer: -11.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -550*i**2 - 23654*i - 96. Determine y(-43).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 125. Let i be n(-11). What is the third derivative of 4*f + 9*f**2 + 9 - i*f + 2*f**6 - 3*f**6 + 7*f**4 - 14*f**2 wrt f?\nAnswer: -120*f**3 + 168*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*-257\nAnswer: -771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28520 is divided by 679?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113015*q - 56195*q - 56821*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -62.165 - 0.1.\nAnswer: -62.265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 440536*r + 1484. Let b(z) = 890*z + 3. Let c(y) = -1484*b(y) + 3*v(y). Let x(d) = -d**2. Calculate c(x(l)).\nAnswer: -848*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 14 (b) -14\/19 (c) 2808\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.22 + 0.52. Let z = -0.016 - -0.036. Which is the second smallest value? (a) i (b) -4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1947 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 59\/3 - (-8)\/(-12). Let h = -16 + q. Sort h, -2, 2 in decreasing order.\nAnswer: h, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 269887734 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 151 - 46. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -120 - -791. What are the prime factors of w?\nAnswer: 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**3 - 69 - 39*k**2 - 37*k + 36*k - 4*k**4 + 99 + 42*k**2 as s*k + p*k**3 + l*k**4 + o*k**2 + u and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2341, 2295, 2249, 2203?\nAnswer: 2157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(((-12)\/42)\/((33\/(-14))\/(-11))).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 + 0.2. Let q = n + 0.2. Let a(u) = -3*u. Let x be a(1). Put -5, q, x in descending order.\nAnswer: q, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0729 * -0.3\nAnswer: 0.02187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.03 and -0.056741.\nAnswer: -0.026741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**5 - 546*x**4 + 52168*x**3 - 1951168*x**2 + 20235456*x - 33074912 = 0.\nAnswer: 2, 13, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 577232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 969779761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.5, 1\/73, -2, 7\/220, -3, 0.\nAnswer: -3, -2, 0, 1\/73, 7\/220, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 308055.\nAnswer: 3, 5, 11, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3390.01 and 16.\nAnswer: 54240.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + 2*q + 0*q)*(-q + 2 - 2) - q**2 + 0 + 0 - 346 + 340*q**2 + 348 + 5*q**2.\nAnswer: 346*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ym when two letters picked without replacement from yssmyyss.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 159 = 171. Let m be 6\/9*(-24)\/2. What is the common denominator of 71\/p + m\/(-20) and -43\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -153*k**3 + 2*k**2 - 7. Let f(j) = -305*j**3 + 4*j**2 - 13. What is 6*f(o) - 11*p(o)?\nAnswer: -147*o**3 + 2*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 373951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2117 or -8465\/4?\nAnswer: -8465\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 3031 divide 58414318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ezhnu. What is prob of picking 1 u, 1 z, 1 e, and 1 n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1279 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -202*j**3 + 147 - 147 + 4875*j**3.\nAnswer: 4673*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 441 - 3202502?\nAnswer: -3202021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 1:53 AM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 o when four letters picked without replacement from kookokkkokko.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -498\/77 + 44\/7. Let u = -3 - -2.8. What is the closest to 2\/5 in -4, p, u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7678, 6401, 5124, 3847, 2570, 1293?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + 16*d - 146. What is t(8)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/28, -2\/5, -100, -3\/2?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10909864?\nAnswer: 2, 7, 194819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 632, 645, 660, 677, 696, 717, 740?\n\"Answer: g**2 + 10*g + 621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**0)\/((l*(l*l*l*l*l\/(l\/((l\/(l*l**0))\/l)*l*l))\/l)\/l*l)*(l\/(l\/(l\/(l**(1\/2)*l)*l)))**(-4) assuming l is positive.\nAnswer: l**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 c when four letters picked without replacement from rrrdccdrccrrdrcccd?\nAnswer: 49\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (84\/(-294))\/(5\/42) - (0 + -2). Let s = -0.14 - -0.24. Which is the nearest to 8? (a) y (b) -1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0033787 to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 7*c. Find the third derivative of -13*y**3 + 9*y**2 + c*y**2 + y**2 wrt y.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (72\/15)\/((-2088)\/(-18270)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 628639?\nAnswer: 11, 57149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 45 = 4*l, -2*l = 2*d - 13 - 9. Let o(s) = s + 2. Let u be o(0). Solve -l + u = 5*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - u + 460. Let o be i(-22). Suppose 3 = 2*l - 1. Put o, l, -16, 3 in descending order.\nAnswer: 3, l, o, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*l + 10*l + 4 + 0 - 4 + 2.\nAnswer: 29*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12599 to the power of 1\/2, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 9 = 3*u. Let r be 18 + (-2 - (-6)\/3). Let i = -10 + r. What is the remainder when i is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k = -5564 - 2484. What is the remainder when k is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 60 = -5*s - 4*g, 2*s - 4*g - 6 = 0. Let b(y) = -y + 7. Let u be b(s). Suppose 0 = -6*p - 22 - u. Which is bigger: p or -22\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zoo when three letters picked without replacement from oweewepweoez.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 434472 and 117519.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d - 2*f, 5*f = -0*f - 20 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2 + 3. Let a(s) = 2*s**2 - 2*s + 3. Let p be a(v). Solve 0 = -4*q - 3 + 11, -q = p*m - 14 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 35 = 5*t, 1872*j - 35 = 1871*j + 5*t for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/7)*v)\/(v\/v**(28\/3)) assuming v is positive.\nAnswer: v**(199\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13 + d**5 + 17 - 2*d**2 - 3773*d**3 + 3775*d**3 + (2 + 2 - 5)*(0*d**5 - d**5 + 0*d**5).\nAnswer: 2*d**5 + 2*d**3 - 2*d**2 + 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-21 - -15)) + -13 + (2 - 1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 62355132.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -701128?\nAnswer: 70112a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, u: 5, i: 9}. Give prob of picking 3 i.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63, -354, -839, -1518, -2391, -3458, -4719?\nAnswer: -6174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 27\/(-60)*18\/216*-10\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4678*s + 28725 = -41445 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of s**5\/72 - s**4\/12 + s**3\/9 - 39*s**2. Solve g(d) = 0.\nAnswer: 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.38, -91, 59 in increasing order.\nAnswer: -91, -0.38, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1*-23537\nAnswer: 23537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.34478386 rounded to 1 dp?\nAnswer: 33.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 29376055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000279640108 to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -507*h**2 - 28*h**2 + 50*h**2 - 710*h**2 to k*h**2 + c + v*h and give k.\nAnswer: -1195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i**3 - 24*i**2 + 14*i + 128. Let f(d) = 5*d**3 + 71*d**2 - 40*d - 379. Let j(u) = -4*f(u) - 11*k(u). Suppose j(y) = 0. What is y?\nAnswer: -2, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7782818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 - -2 - 3)*1 - -1770 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 1. Suppose -3*x = 2*k - 5 - 33, k - 1 = 0. Let i(t) = 6 - 2*t + 4 + 0. Calculate x*w(f) - i(f).\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2094660768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23*b*j + 109184*b - 289*j**2 wrt j.\nAnswer: 23*b - 578*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4149.1 times -3?\nAnswer: 12447.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/6 and 33\/134219033.\nAnswer: 805314198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 4*o + 112, 4*v + 136561 = 3*o + 136652 for o.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*g - 1, -g = 3*z + 142. Let r = 17 + z. List the prime factors of 1\/2 + r\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54196 is divided by 13548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -43713\/136 at least as big as -322?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 629?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -16, -86, 98, 5, 0.3 in decreasing order.\nAnswer: 98, 22, 5, 0.3, -16, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 264 divide 290031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 243 - 243 - 13*f to i*f + b and give i.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (16\/6)\/((-12)\/270)*63856\/399100\nAnswer: -48\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + -847622130.\nAnswer: -847622128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/((-21)\/(-14) - 3). Suppose 2*g + g + w = 117, 212 = 5*g - 4*w. Suppose g*p = 38*p + n. What is the remainder when 1 is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of q**5\/420 + q**4\/84 - 14*q**2. Factor h(r).\nAnswer: r*(r + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 780, 784, 788, 792, 796, 800?\nAnswer: 804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/319, -5, -2\/3 in increasing order.\nAnswer: -5, -2\/3, 2\/319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of d**6\/120 + 7*d**5\/60 + 2*d**3\/3 + 22*d**2. Let t be q(-7). Solve 96*a**2 - 46*a**2 + 4*a**3 + 12*a - 62*a**2 - t = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 76554654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.62 + -0.18. Let s = d + 5.1. Let i(x) = 2*x - 5. Let r be i(5). What is the third smallest value in -3, r, s?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 31*u - 3. Let g(i) = 17*i**2 + i - 1. Calculate z(g(r)).\nAnswer: 527*r**2 + 31*r - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -28 * -13431513\nAnswer: 376082364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/6)\/(84\/36).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1548.4 + 3126. What is n rounded to the nearest ten?\nAnswer: 1580","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tx when two letters picked without replacement from xmmvxtpptimvvv.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r**2 - 6*r + 2. Let j = -58 - -61. Let f(v) = 2 + 11*v + j*v**2 - 6*v - 10*v. What is 6*b(u) - 7*f(u)?\nAnswer: -3*u**2 - u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) - -2*sqrt(78) - sqrt(78)) + sqrt(78))\/sqrt(6) + sqrt(143)\/sqrt(1100).\nAnswer: 31*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 148.5142 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 28.394913 to 2 dps.\nAnswer: 28.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w + w + 3089676 + 1350328. Let j be f(0). Let k be j\/6 - (-10)\/(-15). What is k rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of 11\/3*m**3 + 0*m - 11\/2*m**2 + 5. What is the second derivative of s(r) wrt r?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 + 36 - 75)*(3*x**2 - x**2 - x**2) + (1 - x - 1)*(x - 4*x + x).\nAnswer: -15*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 + -1162?\nAnswer: -1169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -23, -24?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3582 a factor of 1129150278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*q**5 - 24*q**4 - 48*q**3 - 40*q**2 - 12*q = 0. What is q?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26447 and 106.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + k - 6*k)*(-2*k**2 + 3 - 3) + 9*k**3 - 2*k**3 + 2*k**3.\nAnswer: 13*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 179560 and 5272.\nAnswer: 118330040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/25, 2\/3, -6, -88, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**3*c**2*j + 379620*a**3*c*j + 6*a**3*j + 3*a**2*c**2 - 2*a**2*c*j - 290*a*c**2*j - 24*a*c**2 + 3*a*j wrt a?\nAnswer: 6*c**2*j + 2277720*c*j + 36*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -7300*v**3 - 1473*v**2 - 4*v - 4. Let s(h) = -14601*h**3 - 2945*h**2 - 7*h - 7. Let f(l) = -7*d(l) + 4*s(l). Find the third derivative of f(z) wrt z.\nAnswer: -43824","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4 - (-4 - (-6 + 3))) + 133?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 222?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -2\/17, 4\/5, 178, -4\/7, -309?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1976837 centimeters in kilometers?\nAnswer: 0.000001976837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*f + 27*f + 0*f in the form l*f + b and give l.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + d - 4. Let u be w(-3). Let x(r) = 2*r + 2. Let t(j) = 4*j + 5. Let o(l) = u*t(l) - 5*x(l). Let f(h) = 30*h - 18*h - 14*h. Calculate f(o(q)).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - 14*u**2 + 19*u - 25. Let i be z(-15). Let c = -73 - i. Suppose 13*y = c*y + 2. Solve -2 + 12 = y*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from juubbjjbgbgjj. What is prob of picking 2 u, 1 g, and 1 b?\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4223*j - 5583*j + 430832 = -9974 - 726108 for j.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.024 to 0 decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jbg when three letters picked without replacement from {j: 1, g: 1, d: 2, k: 1, b: 1, n: 2}?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4454120381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 401*i - 78*i - 332*i - 796*i as q*i + g and give q.\nAnswer: -805","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -5, 85.2 in descending order.\nAnswer: 85.2, -2\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from leeeltlllel. Give prob of picking 4 e.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 619?\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 0.1, 63, -2?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1119 = 18*v + 1137 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4690 and -64.\nAnswer: 4626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 7:49 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16041 and 5288183.\nAnswer: 15864549","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n + 0*n - 4*n)*(2*n + 2 - 2) - 131*n**2 + 130*n**2 - 3 + 12 to k + p*n**2 + l*n and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 180.1 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 16*f**2. Suppose -4 = -2*j - 10. Let b be w(j). Let s be ((-4)\/(-12))\/(4\/b). Solve 3*k + 0*k - s = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/49650 and 103\/11618100.\nAnswer: 11618100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 26 + 18 = 2*o, 2*o - h - 44 = 0. Suppose 33 = 4*v - 231. Calculate the greatest common factor of o and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65255+-29.6511467\nAnswer: -65284.6511467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s - 19. Let c(p) = -7*p + 1. Let t = -6 + 5. Calculate the lowest common multiple of c(t) and b(-29).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 133017 - 3?\nAnswer: 133014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -3*g + 9*g. What is the remainder when g is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2067 = -582*a - 10797 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6347397ml in litres?\nAnswer: 0.0006347397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1728304 is divided by 665.\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1293? (a) -3.5 (b) -0.2 (c) -2\/5 (d) -4 (e) -0.5 (f) 42\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + y + 2*i - 608, 0 = -4*y + 2*i + 624. Suppose m - y = -2*m - 5*w, -4*m = -4*w - 184. What is the highest common factor of m and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-3*(sqrt(272) + -1*(sqrt(272) + -1)) + 2)**2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -2*s**5 - 39456*s**4 - 236688*s**3 - 473348*s**2 - 394446*s - 118332 = 0.\nAnswer: -19722, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -0.5, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (800\/(-55800))\/(10\/(-3) + 4)?\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1973340 and 47880?\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*p**4 + 497*p**2 - 1404 with respect to p.\nAnswer: -8*p**3 + 994*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -3*m + 260, 5*g - g + 5*m = 518. Let z = g - 63. Calculate the highest common factor of 8 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -63*v + 6355. Determine a(100).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3356659 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(363) + (sqrt(363) + sqrt(363) + sqrt(363) + 2 - sqrt(363)))**2.\nAnswer: -6542 - 264*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -842*m + 400*m + 443*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 119700139 to the power of 1\/2, to the nearest integer?\nAnswer: 10941","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -17, -1, -4, 5 in descending order.\nAnswer: 5, 0, -1, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 7:08 PM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) - -5*sqrt(75)*-1) + 1 + -3 + sqrt(75) - (3*(sqrt(75) + (sqrt(75) + (sqrt(75)*-5)**2 + sqrt(75))*-3) + 3).\nAnswer: 60*sqrt(3) + 16870","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffxi when four letters picked without replacement from {x: 4, f: 3, i: 2}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-14\/3)*f)\/f**(-12)*f\/(f**(-17)*f*f)*f\/(f**(-1\/16)\/f) assuming f is positive.\nAnswer: f**(1267\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 7*w**2 - 3*w - 1. Let v be g(6). Find the second derivative of -90 + 3*k**2 + v*k**3 + 9*k + 90 wrt k.\nAnswer: 102*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1107, 1108, 1109, 1110, 1111, 1112?\nAnswer: 1113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - (-1 + -12)) + 4 + 1. Let a(z) = -92 - 5*z + 30 + 30 + n. Let t(u) = 2*u. Determine a(t(m)).\nAnswer: -10*m - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + -1 + 2 + -1*(sqrt(171) + -1))*-5 + -5)**2.\nAnswer: -600*sqrt(19) + 4675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 336 and 1051792.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 + 18 = -4*n + 2*l, -n - 3*l + 3 = 0. Let a(p) = p**2 + 2*p - 8. Let m be a(n). What is m rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2 = -3. Let y = r + 0. Solve n - 2*n = -y for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5096, -23237, -53472, -95801, -150224, -216741?\nAnswer: -295352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75 - -71) + -1 + 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -19. Solve 2*a + 20 = f*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 3. Suppose g + 2*g - 26 = a, 0 = y*a - 3. What is the remainder when (6 - 0)*2*2 is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -271 + -52. Let s = c + 326. Put -0.06, -1\/2, 2\/13, s in descending order.\nAnswer: s, 2\/13, -0.06, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/28*2)\/((-1404)\/(-61212)). Let x = -207\/91 - j. What is the common denominator of x and -31\/30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-34)\/(-9) - 2\/(-9). Suppose x*i - 2*i - 4 = 0. Solve -1 - i = -3*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o - 9. Let g(r) = -r - 5. Let t(n) = 7*g(n) - 3*u(n). Let i(y) = y**2 - 7*y + 3. Let a be i(5). Let b be t(a). Sort 0, b, 3 in descending order.\nAnswer: 3, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 11 = w, 0 = -0*w - 2*w - 2*j - 2. Let n be -599*((-4)\/(-6) + -1). Let u = n - 198. What is the closest to -1 in u, w, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 7*u**2. Let y(w) = -4*w**2. Let l(h) = 6*a(h) + 11*y(h). Let r(i) = 116 - 224 - 18*i + 107. Calculate l(r(g)).\nAnswer: -648*g**2 - 72*g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.41 + 0.09. Let j = r - 0.7. Let w = j + -0.1. What is w rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**6 + 6100*d**4 + 825*d**2 wrt d?\nAnswer: 120*d**3 + 146400*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -2*w. Suppose w = -2*j + 89 - 25. Is j a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7546845 and -0.4?\nAnswer: 7546845.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -0.1. Let u = -28.999 - -0.099. Let o = -29 - u. Which is the nearest to j? (a) -0.3 (b) o (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5*u = -12, 0 = 2*p - 0*u - u + 6. Let k(q) = 4*q + 2*q - 3*q + 4 - 5. Determine k(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/102 and -101\/900.\nAnswer: 15300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -6*k**2 + 95*k + 4 + 1 + k**3 - 187*k + 97*k. Determine z(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64220.\nAnswer: 2, 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - 6*x + 2. Let l be y(-6). Let w(h) = 16*h**2 - 2*h + 3. Calculate the remainder when w(l) is divided by ((-2)\/(-5))\/((-14)\/(-560)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3517.6 rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(2 - (-4)\/(-2)). Suppose -h - 3*r = l, -5*r - 11 - 13 = -h. What is the units digit of h\/(-15) - 13\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57391 is divided by 18812?\nAnswer: 955","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 10) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -9, -0.4, 4811?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 6*k**3 - 3*k**2 + 5*k. Let q = 23 + -12. Suppose 5*p = -0*p + 20. Let x(l) = -2*l**3 + l**2 - 2*l. Calculate p*f(d) + q*x(d).\nAnswer: 2*d**3 - d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -477 = 3*b - 12*b. Sort -4, -5, b in increasing order.\nAnswer: -5, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 603372320 to the nearest integer?\nAnswer: 24564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/1242? (a) 2 (b) 4 (c) -5 (d) 0 (e) -161\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 360 and 60.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 2*j + j - 12, -3*m = -2*j - 37. Suppose 4*s + z + 0*z = m, -s - 4*z = 9. Sort -5, 2, s in decreasing order.\nAnswer: s, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31880 - 31881. Is 306\/95 >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.865371 less than -136952?\nAnswer: -136955.865371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) 11 (c) -2 (d) -58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q**2 + 430328*q + 46463760 = 0. What is q?\nAnswer: -430220, -108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*m + 66*m + 136 = 0. Round m to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*v - 6*v - 5*v + 18*v to the form k + t*v and give t.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 9, -0.0111, 125, -2\/11, 1, -2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 166\/2739 - (-112)\/330. Which is the nearest to -0.1? (a) -4\/7 (b) n (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 - 15*u + 2. Let v be j(15). Suppose 6*m - v*m = 44. Calculate the highest common divisor of 121 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 8:29 PM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-5*sqrt(320)*-1*2)**2 - (((sqrt(90) + -1*sqrt(90))*-3 - sqrt(90)) + sqrt(90))\/sqrt(2)).\nAnswer: 32005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r - 612*x + 607*x = 574, -359 = -5*r + 3*x for r.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2149 by 42.\nAnswer: 307\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -38, 5, -0.2, -22\/16781?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 3*d - 180. Suppose 6*j - d = j. Let v = 86 + -41. What is the greatest common factor of v and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8706467 or -8706468?\nAnswer: -8706467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2587, 5648, 9207, 13264, 17819, 22872, 28423?\n\"Answer: 249*j**2 + 2314*j + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - 5 - -8*2\/4. Let k be 3 + j\/(-7 + 6). Let l(r) = 1 + 5*r**2 - 5*r**2 + 2*r**2 - 4*r**2. Calculate l(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 4*b + 4 = -3*v, 0 = 4*b + 3*v + 20. Is 21\/7 + (2 + b - -206) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -0.3, -12\/85, 2, -0.5.\nAnswer: -0.5, -0.3, -0.2, -12\/85, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 199166 - 87607.\nAnswer: 111559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6417904?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 109, 818, 2749, 6514, 12725?\n\"Answer: 102*f**3 - f**2 - 2*f + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -3, 3, 0, -46, 24.\nAnswer: -46, -29, -3, 0, 3, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q**4\/7 + 64230*q**3\/7 + 834312*q**2\/7 + 3592992*q\/7 + 5132160\/7 = 0.\nAnswer: -10692, -5, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 16*0.46\nAnswer: 7.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-16)*288\/(-240)*(-4680)\/54?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 6, 3, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3833, 3862, 3941, 4094, 4345?\nAnswer: 4718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -160*q**4 - q**3 + 1965*q**2 - 18. Let y(w) = 80*w**4 + w**3 - 983*w**2 + 8. Let i(l) = 4*n(l) + 9*y(l). What is the third derivative of i(v) wrt v?\nAnswer: 1920*v + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 + (3 - -3) + -2 is divided by 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 4*i**2 + 4*i - 5. Let y(r) = -r**2 - r + 1. Let l(m) = 5*y(m) + z(m). Let t(j) = 17936*j - 17939*j + 0*j**2 - j**2. Calculate 6*l(w) - 2*t(w).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3\/2*z**2 - 87*z - 795\/2 = 0. What is z?\nAnswer: -53, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 r when four letters picked without replacement from rrrrgrrkkkkggg.\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 30752.872570069 and -0.4?\nAnswer: 30753.272570069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**4\/2 - 125*w**3\/2 - 4621*w**2\/2 - 39435*w\/2 + 81675 = 0. What is w?\nAnswer: -55, -18, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + x + 2*x)*(-54 - 34 - 8412*x**3 + 88).\nAnswer: -8412*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5381225.1 + -37176\nAnswer: -5418401.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, d: 3}. What is prob of picking 1 z and 1 d?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - 8. Let y(n) = 15 + 32 - 20 - 22*n + w*n - 392*n**2. Let d be y(-13). Round d to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o**2. Let x(r) = 1. Let u(l) = -3*l + 1. Let g(h) = 7*h - 3. Let j(n) = -6*g(n) - 13*u(n). Let y(k) = j(k) - 5*x(k). Give y(b(a)).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28992 = -2070*w + 90454 + 50318 for w.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*b + 65 = 0, 2*f - 3*b + 69 = 5*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.03 - -0.47. Round b to one decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 42449?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3043393?\nAnswer: 3043393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 3041?\nAnswer: 3043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1238989615.\nAnswer: 5, 229, 523, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14319 is divided by 66.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 86 - 95 - (-1 + -14).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 11696487?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of 17*l**4\/24 - 17*l**2 + 1. Let j(x) = -2*x. Calculate j(w(c)).\nAnswer: -34*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 24\/(-40)*4\/(-6). Which is the smallest value? (a) -2\/9 (b) u (c) 111\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*q + 680 = -27*q for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1312 (base 5) to base 3.\nAnswer: 21200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 287215 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -3*w**3 - 1920*w**2 + 45477*w - 179010 = 0?\nAnswer: -663, 5, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 815485*p**6 - 31316*p**2 + 8 wrt p?\nAnswer: 97858200*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -6270302.\nAnswer: -2508120.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88592 divided by 3.\nAnswer: 88592\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -42351337*u**3 - 15*u**2 + 105545*u + 3 wrt u.\nAnswer: -254108022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((p\/((p**(26\/3)*p)\/p)*p)\/p)\/p)\/p)\/p*p\/p**(23\/3)*p*p)\/((p**(-2\/27)\/p)\/p**(-20)) assuming p is positive.\nAnswer: p**(-925\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 3*j**5\/7 + 96*j**4\/7 - 324*j**3\/7 - 42*j**2 + 753*j\/7 + 90 = 0.\nAnswer: -35, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -835*c = -613*c - 448*c + 18532 for c.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z - 2. Let n(j) = -j + 2. Calculate 6*n(x) + 7*s(x).\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 18, 70, 122, 168, 202, 218?\n\"Answer: -n**3 + 6*n**2 + 41*n - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of -4 - 3\/2*x**3 - 2*x**2 - 7\/60*x**5 + 7\/24*x**4 + 0*x + 1\/120*x**6. Calculate a(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26059926400 + 211580542151635\/8119. Let u = 817\/23 + n. Let d = -29357\/11296 - u. Find the common denominator of d and -75\/14.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*j**5 - 1243*j**4 - 69*j**3 + 6368580*j wrt j?\nAnswer: -60*j**3 - 14916*j**2 - 414*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(224) + sqrt(224) + 2*sqrt(224))\/(sqrt(700) + 2*sqrt(700)) + -4.\nAnswer: -4 + 8*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (9 + -1) - -5 - (1 - 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and -53242.5105.\nAnswer: -53242.4105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/6, 1, 55, 7.5799?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 552906 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -0.06.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**17*k\/(k*k*(k**(1\/18)*k)\/k) assuming k is positive.\nAnswer: k**(305\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 69407.1 rounded to the nearest one hundred?\nAnswer: 69400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/2)*l)**(14\/9)\/(l**(-4)*l*l*l**9) assuming l is positive.\nAnswer: l**(-56\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - (5 - 2)) + (-9660)\/(-35). Let b = 146 + 136. Suppose 0 = -2*w + 3*f - 4*f + b, -4*f = -2*w + y. List the prime factors of w.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 23. Let t(v) = -v**3 - 4*v**2 - 4*v + 3. Calculate the remainder when t(-4) is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d + 10 + 0*d - d + 4*d. Suppose -4*y - 8 - 12 = 0, -4*y - 11 = -c. Calculate s(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**3 + 2*n - 2. Let z(d) = 4*d**3 - 5*d + 5. Give 5*p(t) + 2*z(t).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 - 19. Let g be 23 - -3 - f\/(-1). Let s be (g\/(-18))\/(26\/(-9)). Does s = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1040409431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 862 (base 15) in base 2?\nAnswer: 11101100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 910 and 2100?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**1)**11)**25\/(c**(-1\/6)\/c**(-2\/17))**(22\/9) assuming c is positive.\nAnswer: c**(126280\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - 2 - (-2 - 2). Suppose 2*r = -2*k + 6, -v*k - 3 = -3*r - k. Suppose -48 = -r*w + 5*s, 2*w - s = -0*w + 48. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 482568 is divided by 391?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57) - sqrt(171)\/(sqrt(12)\/sqrt(4)))\/(2*sqrt(147)) + 5 - (2 + (-2 + -1*sqrt(171))**2 + sqrt(171)*2*-2).\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 63*j**2 - 480*j - 35. Give d(-8).\nAnswer: -739","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 101 + -911\/9. Sort 1, 6, h in decreasing order.\nAnswer: 6, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/2)\/(6\/6*-4).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*x**2 + 134*x**2 - x + 45*x**2 + 48*x**2.\nAnswer: 186*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 7:55 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -11164996, -11165070, -11165266, -11165644, -11166264, -11167186?\n\"Answer: -10*h**3 - h**2 - h - 11164984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -308*r**4 + 21 wrt r.\nAnswer: -1232*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 6*n**2 - 27*n - 107. Calculate j(-6).\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 1548*m. Let f(k) = 17*k. What is -22*f(b) - 2*s(b)?\nAnswer: -3470*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of 19*x**4\/12 - 25*x**3\/6 + 33*x. What is the second derivative of u(t) wrt t?\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 3*o**2 + 5*o + 5. Suppose 2 = -96*n + 95*n + 4*f, -f - 10 = 5*n. Let q(u) = -u**2 + 2*u + 2. Calculate n*y(c) + 5*q(c).\nAnswer: -2*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.8 - -1.4. Let m = v + -0.62. Let z = -0.08 + m. Which is the nearest to -2\/7? (a) 1\/4 (b) z (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1ba748 (base 13) to base 4.\nAnswer: 2231001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 341039?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80459 = 46*i - 78803 for i.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 93 in 365, -2\/3, 0.3, 1\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*1 - ((-1030)\/(-308) + (-116)\/1624)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4209 + 7e?\nAnswer: 4288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ag when two letters picked without replacement from {a: 1, q: 1, p: 1, g: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.4 + 3.3999986. What is t rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 345 and 1329?\nAnswer: 152835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4256691?\nAnswer: 3, 257, 5521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -109105 divided by -5809\nAnswer: 109105\/5809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-63)\/((-5859)\/8835))\/(-1)?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, l: 1, o: 2}. What is prob of picking 1 o and 1 l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 1 - 5*l + 4*l + 3. Let a be r(6). What is the units digit of 4 - (a + 8\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 112 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-108570)\/14805*(-126)\/88.\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2579432000884 - -5.\nAnswer: 2579432000889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15712 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 139133400 divided by -700\nAnswer: -198762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 4905*y - 627915. Calculate u(128).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 - (56 - (-62 - -189))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/9 (b) -2 (c) -118\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-99)\/165*(1 + 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38*d**2*p**6 - d**2*p**2 + 4*p**3 + 15*p**2 + 1 wrt p?\nAnswer: 4560*d**2*p**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-322)\/(-770) + -3*4\/(-66). Let k = 1 - s. Sort 3, k, -0.9 in descending order.\nAnswer: 3, k, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven fifths of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*h**3*w + 125*h**3 + 14*w wrt w?\nAnswer: 5*h**3 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1382797, -1382795, -1382793, -1382791, -1382789?\n\"Answer: 2*a - 1382799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/4*(2158 - 2128).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -q**4\/20 + q**3\/2 - 9*q**2\/5 + 15*q. Let o(z) = 0. What is z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-3 + -3 + (sqrt(7) + 1 + sqrt(567) - (5 + (sqrt(21)\/sqrt(3) - sqrt(7) - sqrt(7)))) + 5))**2.\nAnswer: -440*sqrt(7) + 3488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 64 - 63.88. Which is the nearest to d? (a) -1\/7 (b) 0.4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9152?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 244160346 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12 + 3962?\nAnswer: 3974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 8 = 2*q - 0*i, -13 = -q + 4*i. Suppose -q = -k + 2. Let h = k - -2. Solve 3*x = 6*x - 9, -4*x = h*t - 27 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 210 = 225. Find the third derivative of 2 - 41*i**2 - 22*i**k - 62*i**5 + 22*i**3 - 2*i**3 wrt i.\nAnswer: -3720*i**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyyyyy. What is prob of picking 3 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2074?\nAnswer: 2, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7776 rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 0 + (-7 - (-8 - 11) - 24)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 287481.2 litres to millilitres.\nAnswer: 287481200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3*p**2 + 49*p - 50. Let b be c(14). Suppose b*l - 252 = 6*l. Solve -o + l = -m, o = 5*o - m - 21 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-8)*6*6. Let l be ((-656)\/(-6))\/(y\/(-27)). Suppose 6*f - l = 410. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 7 = 4*i, -23*l + 21*l - 16 = 2*i for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33111 and 20371.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 102490781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10 (b) -1 (c) -2\/5 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 5*m + 4*m)*(-2 - 2*m**2 + 0*m**2 + 0 - 2*m) + 3*m**3 + 0*m**3 - 4*m**3 + (4*m - 2*m - 4*m)*(0*m - m**2 + 0*m) - 2*m**3 - m**3 + 0*m**3.\nAnswer: -18*m**3 - 16*m**2 - 16*m","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 + 3 - -1 - (107 + -114).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 9*d + 3 - d to s*d + z and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19042, 38058, 57074, 76090, 95106?\nAnswer: 114122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -360*f - 349 + 346 - 62*f**2 + 61*f**2 to a*f + x + l*f**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**2 - 2456*u + 4. Let j(w) = -3*w**2 + 2455*w - 5. What is -4*j(g) - 5*x(g)?\nAnswer: 2*g**2 + 2460*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 8:37 AM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 12210289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15933098 or 2\/7?\nAnswer: -15933098","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -127.786 and 241327?\nAnswer: 241454.786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 10:39 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 - 6667?\nAnswer: -6677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**2 - 9*r + 14. Let f be b(2). Suppose -24 = -2*p - f. Suppose 128 = -p*c + 1718. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7188200 divided by -100\nAnswer: -71882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49 - (13 - -39 - 40 - (1 + 4 - 0))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22971 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 - 1400*n**2 - 97980*n.\nAnswer: -5*n*(n + 138)*(n + 142)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 39661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -988774.1079 to the nearest 10.\nAnswer: -988770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 4*i + 9*i + 61, 10 = -2*i. Let j be (u + (-6193)\/693)\/((-2)\/(-7)). Which is the third biggest value? (a) j (b) -5 (c) 11 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57140, 116506, 175872, 235238?\nAnswer: 294604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-146)\/84 + (-55)\/(-33) + 10\/(-100) + 0?\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -664, -1393, -2178, -3025, -3940, -4929?\nAnswer: -5998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*m + 28*m + 648 = -11*m for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -56*a + 1 + 0 + 14 - 6. Is g(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2984726655?\nAnswer: 3, 5, 31, 69019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**3 - 6*z**5 + 2*z**3 + (-z + 2*z - 3*z)*(-z**4 + 2*z**4 + z**4) + 2*z**5 - 2*z**5 + 2*z**5.\nAnswer: -8*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69696?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162*q - 5*r + 12 = 161*q, -2*r + 3 = -q. What is the smallest common multiple of q and 673?\nAnswer: 2019","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of d**3\/3 + 5*d**2\/2 + 3*d - 2. Let z be v(-3). Let c(w) = -2*w - 4. Determine c(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166867965929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 + (0 - 0 - 0). Let b(s) = s - 5. Let a be b(w). Let m(x) = 330*x**2 - 332*x**2 - 3 + 2*x + 2. What is m(a)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 467264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 31147448 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 divided by 159761?\nAnswer: -1\/5509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -2. Let s(f) = 2*f**2 + 2*f - 2. Let p be s(-2). Suppose 0 = -w*c + p*c - 10. Which is smaller: 4 or c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2535 divided by 13.\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 18*m**2 - 3*m + 3. Let s be r(1). Suppose -5*v - 156 = -s*v. Let t(j) = -2*j + 15. Determine t(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0, 103, 6, -186?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.7 - 4.8. Which is the second smallest value? (a) 0.61 (b) 0.4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + (1 - -1 - -2) + 0. Solve n = -n - h for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -3*y, -18*m + 16*m = -3*y - 31 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 115109, 115603, 116097, 116591?\nAnswer: 117085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3570 - 3565. Let g(f) be the third derivative of 0 - 43*f**2 - 1\/15*f**y - 1\/420*f**7 + 0*f**4 + 3\/80*f**6 + 0*f + 0*f**3. Factor g(c).\nAnswer: -c**2*(c - 8)*(c - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(700) - 1*sqrt(700)*2 - (sqrt(700) - sqrt(700)*3*-5)).\nAnswer: -170*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 38050973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2*(sqrt(170)*2 + sqrt(170) + sqrt(170)))\/sqrt(10).\nAnswer: -5 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 155 = 5*x. Let h = 44 + x. What are the prime factors of h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-72)\/36)\/(2\/1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 3*q + 5. Let z(o) be the third derivative of -o**4\/24 - o**3 - 9*o**2. What is z(q)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 595323 and 1683?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 19, -12, -63, -134, -225, -336, -467?\n\"Answer: -10*k**2 - k + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3*((3*sqrt(76)*4 + sqrt(76))\/(-4*sqrt(4)*2 - sqrt(4)))**2.\nAnswer: 3292\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -13 + 16 + (-5 - -1). Let i be 581 - 21 - 6*h. Round i to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**(4\/5)\/l)*l)**(-14))**(12\/13) assuming l is positive.\nAnswer: l**(-1848\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -x + 1, a - 36 = 5*x - 15 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -20*d**3 + 10*d**2 + 28*d - 12. Let v(w) = -8*w**3 + 4*w**2 + 11*w - 5. Give -5*q(l) + 12*v(l).\nAnswer: 4*l**3 - 2*l**2 - 8*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 2. Let c be x*(9\/6 + 1). Suppose 0*z + 10 = c*z. Which is bigger: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 138713?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*13\/6)\/(((-27566)\/(-462))\/(-179)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3\/4 + 172893*u**2\/4 - 518760*u + 1556361.\nAnswer: 3*(u - 6)**2*(u + 57643)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.796163 months in millennia?\nAnswer: 0.00014968025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*z - 9*z + 6*z + (-3*z - 1 + 1)*(1 + 6 - 4).\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 7*c**2 + 2*c - 4. Suppose -3*p + 21 = -0*p. What is the least common multiple of f(p) and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3862 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: Does 143 divide 8151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -83 - -84. Is 45 a factor of 5\/((2\/18)\/r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40613\/108 - 9766\/27. Is z at most -737?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 35. Let y = -15 + t. What is the greatest common divisor of 2 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of -3\/4*h**4 - 120*h**2 + 0 + 1\/60*h**6 - 1\/30*h**5 + 3*h**3 + 0*h. Let j(u) = 0. Calculate u.\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**2 + 0*m**2 - 3*m**2 + (0*m - m - m)*(2*m + 2*m - 6*m) + 6 - 2*m + m**2 + 8 - 10 to the form n + p*m**2 + s*m and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4872, 2\/5, 5.9, -1, -0.4 in descending order.\nAnswer: 5.9, 2\/5, -0.4, -0.4872, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 6:59 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -12 - 2*d**2 + d**2 + 11*d + 0*d**2. Let g be h(9). Let l be 3\/9*g\/(-4). What is the third smallest value in l, 0.2, -2\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -22, -45, -68, -91?\n\"Answer: -23*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15)\/(-10)*(-11 + 1). Let q = -5 - s. What is the remainder when 112\/(-2)*(-11)\/22 + 0 is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -37*m + 792. Determine a(30).\nAnswer: -318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.75 - 3.69. Let w = h - 0.06. Put -2\/7, w, 0.3 in descending order.\nAnswer: w, 0.3, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(1 + 1 + 11\/(-5)). Suppose -831*f - 3625 = -860*f. What is the highest common factor of f and q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48390311693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of t**6 + 17*t**2\/2 + 17*t. Differentiate c(r) wrt r.\nAnswer: 120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 14 = 4*s - 8 + 8, -3*s = -u - 8 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -42416*s**4 + 9*s**3 + 1431311 wrt s?\nAnswer: -169664*s**3 + 27*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 2*j. Let l = 10 + -9. Let b(v) = v**2 + v. Let c(r) = l*x(r) - 2*b(r). Let f(w) = -w + 2*w**2 + w. Give f(c(g)).\nAnswer: 2*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + 10. Let d be 8 + 0 - (-192 - -24). Calculate the greatest common divisor of t and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 + 8*f - 8. Let i be a(6). Solve i*z - 10 = -3*p, 26 = z + 4*z - 3*p for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n**2 - 43*n - 27. Let z be f(-21). Let q be (-3)\/z*(1 + 9). Let d(t) = t**3 - 9*t**2 - 8*t - 20. Let w be d(10). Solve w = -2*y + y + q for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -34*f**4 + 11*f + 44. Let t(p) = 7*p**4 - 2*p - 9. Let w(x) = -11*t(x) - 2*v(x). Find the first derivative of w(u) wrt u.\nAnswer: -36*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/((sqrt(192) + sqrt(192) + sqrt(192)*-2 - sqrt(192)) + sqrt(12) + sqrt(12)) + (2 + sqrt(612) + sqrt(17))*5.\nAnswer: 10 + 69*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 k when two letters picked without replacement from {k: 1, c: 1, v: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + 1 + -2)\/2. Let y(n) = -4 + 2 + 84*n - 16 - 89*n. Let x be y(-4). Solve x*a + f*a - 8 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0743 - 1.9257. Sort -0.38, o, -5\/2 in descending order.\nAnswer: -0.38, o, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2401) + (sqrt(2401) - (-2*sqrt(2401) - sqrt(2401))) - sqrt(245)\/(-2*sqrt(5)))\/(-5*(-1*sqrt(112) - sqrt(112))))**2.\nAnswer: 35287\/6400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*1\/(-3) - -3. Suppose 11*h - 14 = -h + 26*h. Put -12, h, q in decreasing order.\nAnswer: q, h, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-54)\/2)\/(-1) - 0. Let v be (-6)\/k + (-34)\/9. Let q be (-1 - -4)\/(27\/(-18)). Sort 0.4, q, v in ascending order.\nAnswer: v, q, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 653 divided by -15\nAnswer: -653\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 732 + -707. Let a be 10\/t*3\/(12\/8). Find s such that -2\/5*s**2 + 0 + 11\/5*s**4 - a*s**5 - s**3 + 0*s = 0.\nAnswer: -1\/4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 507*y + 2 - 2 - 241*y + 1116*y. Let r(i) = -8*i. What is r(a(d))?\nAnswer: -11056*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -716*u - 4301. Let n be w(-6). Suppose -7*o = -3*o + 8. Put n, o, 1, 5 in descending order.\nAnswer: 5, 1, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106488 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 4) to base 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**5 + 908*x**4 - 11833*x**3 - 4652*x**2 + 8092*x = 0. What is x?\nAnswer: -1, 0, 2\/3, 14, 289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 times -0.006935\nAnswer: 0.0048545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qmn when three letters picked without replacement from qmfqqqqqnmmmqmqq.\nAnswer: 3\/224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*y, 13*p + 6*p + 3*y - 2*y = -39 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -143 (b) -0.5 (c) -4\/31389\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4\/5 + 27*a**3\/5 + 27*a**2 - 135*a.\nAnswer: a*(a - 3)*(a + 15)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18*(1 - 1\/3). Let q(n) = -n**2 + 10*n - 19. Let t be (14\/(-10))\/((-11)\/55). Let p be q(t). Solve y = 2*s + p*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 4:37 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a**2 + 70*a + 442. Let c be v(26). Let x = 0 - -5. Suppose -52 = -x*b + 3*b. Calculate the greatest common factor of c and b.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 b when two letters picked without replacement from {s: 11, b: 3}.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - 10*o**2 + 11*o - 8. Determine f(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -614180 by 30709.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*u**4 + 93*u**4 - 8*u**4)*(-2*u + 0 + 0) + (2 + 3 - 4)*(-3 - u**5 + 3).\nAnswer: -215*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -212 (base 13) to base 7\nAnswer: -1013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 + -100010000100011100000?\nAnswer: -100010000100011011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -269*i - 737. What are the prime factors of k(-12)?\nAnswer: 47, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/11)\/c)\/c**21*(c**16*c)**(5\/9) assuming c is positive.\nAnswer: c**(-1216\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**2 - 773 - 7*r + 749 + 0*r**2 as k*r + j*r**2 + y and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -4, 3.049, -930?\nAnswer: 3.049","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60, 198, 434, 780, 1248, 1850, 2598, 3504?\nAnswer: 4580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -343, -702, -1071, -1456, -1863?\n\"Answer: -p**3 + p**2 - 355*p + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 15*h**3 + 9*h**2 + 644*h. Let w(c) = 15*c**3 + 7*c**2 + 643*c. Let d(x) = -2*i(x) + 3*w(x). Find the second derivative of d(g) wrt g.\nAnswer: 90*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mr when two letters picked without replacement from aayzazkmaymzraa.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 30\/(-4) - 1\/(-2). Let p(b) = -b - 4. Let l be p(r). Find the third derivative of -d**2 - l*d**3 + 3*d**6 - d**2 + 3*d**3 wrt d.\nAnswer: 360*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -380686 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3329 to two decimal places.\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 172582 or 172591?\nAnswer: 172582","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -15*v. Determine y so that 0*y - 1\/3*y**2 + 2\/3*y**3 + v - 1\/3*y**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 623 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13.5 - -13. What is the closest to 1 in -1\/4, -2, p?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*o - 543 = 0, 3*b + b - 541 = o. Let c = -1083\/8 + b. Find the common denominator of c and 2 - ((-26)\/5)\/(-2).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -542.9? (a) 2\/3 (b) -4\/9 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8684047 (base 11) in base 10?\nAnswer: -15261297","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 194.3216586 + -0.03?\nAnswer: 194.2916586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 6*x + 14. Let i be b(-4). Solve -8*y + 2 = -i*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 490 and 220.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 15*p - 126. Let f(s) = 8*s - 1. Determine 2*f(y) - q(y).\nAnswer: y + 124","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 11 = s, -1065 = 2*s - 1055 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 2*p + 4*p - 3*p + 5*p**2 - 6*p**2 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 11. Let g be 1*u\/3*-254. Is (1*g\/(-2))\/1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 87480 and 11016?\nAnswer: 1487160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c + 1. Determine x(10).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1, -238, -0.1, -415, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-132)\/3102*47*((-75)\/81)\/5.\nAnswer: 10\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 17*u - 12. Let w be j(6). Suppose w = -3*q + 6*q. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2674 divided by 9?\nAnswer: -2674\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*l + 2. Let j be (7 - 9)*681422\/(-889). Let x = j - 1533. Is x < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.055 (b) -0.2 (c) 9 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 5*x - 2*r - 8, -4*r - 8 = 2*x. Suppose 2*n + x*n + 4*h + 40 = 0, h = -4*n - 28. Let f be 4*(-3)\/18*n. Let c(s) = -s**2 + 5*s - 1. Calculate c(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 106482759 and 183.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -6. Find the third derivative of -4*d**5 + 46*d**2 - 2*d**5 - 41*d**o wrt d.\nAnswer: -360*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 190609750*f - f**2 - 190609750*f.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l + 1. Let d be o(0). Suppose 0 = 4*h - 5*b - 5, 2*b - 14 = -h - 3. What is the highest common divisor of h and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 741 and 399?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnttnt. What is prob of picking 2 t?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2180*19\nAnswer: 41420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 1952076?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9192 * -0.1439.\nAnswer: -1322.7288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -56.8582378 rounded to the nearest integer?\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in -1\/2, -0.09, 0, 3?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 715 and 1573?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13846*k - 320 = 14006*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 844 divided by 4\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 77455 (base 14) to base 15\nAnswer: 5a954","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -536 - -1073\/2. Which is smaller: n or 174?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + 12. What is the remainder when q is divided by ((-8)\/6)\/((-4)\/30)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**2*d**2 - 359*a**2*d - 260*a*d**4 + 3*d wrt d.\nAnswer: -2*a**2 - 3120*a*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 451 - 4*g**2 - 451.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 9 = 2*z, -2*z + z + 3*w = 12. Suppose -2*q = c + 2 + 3, -10 = -z*c - q. Suppose -272 + 7 = -c*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h - 370 = -12*h. Let r = h - -90. Calculate the remainder when 50 is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/7*3\/9*3. What is the nearest to -2\/3 in -0.4, 2, u?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of -w**6\/120 + w**4\/24 + 4*w**2. Let t(n) = 7*n**3 - n**2 - 5*n + 2. Calculate -5*l(x) - t(x).\nAnswer: -2*x**3 + x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 219b7 - 81?\nAnswer: 21936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 533*r**2 - 71*r - 2. What are the prime factors of q(2)?\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 5.4. Let z = -4.95 + -0.05. Which is the third biggest value? (a) 5 (b) k (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, d: 2, u: 2, j: 2, k: 2, m: 1}. Give prob of picking 1 d, 1 u, 1 e, and 1 j.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dcdczbcbzcbcddb. Give prob of picking 1 b and 1 d.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*16\/60*((-210)\/231)\/(8\/(-1)).\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 1332.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 17386226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 547 + -283. Calculate the highest common factor of 33 and v.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.17 + 0.17. Sort 9, 1\/11, l.\nAnswer: l, 1\/11, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11 and 17810.43?\nAnswer: 195914.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4*(sqrt(891)*2 + -2).\nAnswer: -10 + 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 4*m + 2, -3*m = 3*d - 5 - 7. Let h = 1.92 - 0.12. Which is smaller: h or m?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + m. Let a be f(-3). Let x(i) = i**2 - 5*i - 2. Let v be x(a). Solve -v*c + 2*c + 6 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -3. Let f = 64 + -89. Let t be ((-30)\/f)\/((-6)\/20). Sort t, 0, r in decreasing order.\nAnswer: r, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -247 - -385. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3 + 13 = 0. Let b be (-4)\/k + 190\/25. Suppose 2*j + b = 58. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2377 * -0.0219.\nAnswer: 52.0563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 3*h - 35, 3*h + 50 + 15 = 4*c. Solve 2*o + c*o - 22 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 357768?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -2\/7 (c) -3\/2 (d) -759 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, -4, -17, 95706, 3 in decreasing order.\nAnswer: 95706, 4, 3, -3, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 36.8417973 to 1 decimal place.\nAnswer: 36.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 - 119*i + 4116. Give k(28).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/132*-3)\/((-48)\/384).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 528\/(-253) - (-1 + (-84)\/(-92))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2 + ((-4*(2*sqrt(1584) + 0))**2 + 2)*2).\nAnswer: 608262","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2986964, -5973932, -8960900, -11947868, -14934836, -17921804?\nAnswer: -20908772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: (-3 + -1 - -3 - -11) + -8\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33\/(-12))\/(12639\/(-128688))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -6*y - 6*y + 10*y. What is the remainder when 26 is divided by i(-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 w, and 1 u when three letters picked without replacement from {c: 3, v: 1, u: 4, z: 1, w: 6, m: 3}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 94240 by -4.\nAnswer: -23560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + z = -179, 183 = 5*f - 0*z + 3*z. Is 10 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -250 (base 7) to base 14\nAnswer: -97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1205\/28 - 675\/14. Let j = p + 92. Let v = -0.38 + 0.08. Which is the smallest value? (a) j (b) 1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (468\/72)\/(2\/4). Sort 4, l, 0 in ascending order.\nAnswer: 0, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-296)\/(-111)*6\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33*g**5 + 69*g**5 - 7746*g - 35*g**5 - 184*g**2 + 5*g**3 - 197*g + 226*g wrt g?\nAnswer: 20*g**3 + 30*g - 368","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -144018*c**3*v - 16*c**3 + 2*c**2*v**3 + 2*c*v**3 - 2*c*v - c - 397988*v**3 wrt c?\nAnswer: -864108*c*v - 96*c + 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22 + -152420?\nAnswer: -152354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 60*x**2 + 171*x - 166. Determine l(57).\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5718 is divided by 130.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 151202279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/11, 0.24951, 3, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (31 - 32 + 4*d + 75)*(19 + 21 - 24) as o + k*d and give k.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 2*x - 50 = 0. Let y(c) = 3*c**2. Let t be y(-1). Suppose -t*w - 26 = -65. Calculate the remainder when w is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 k when two letters picked without replacement from xxrzhhk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, m: 1, s: 1, t: 2, x: 1}. What is prob of sequence smnt?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-76)\/(10503\/(-778)*8\/(-54))\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2029.97 - -2030. Which is the third biggest value? (a) i (b) -1 (c) -0.5 (d) -21\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 18 = -2*l, 3*m = -0*l + l - 17. Let j(i) be the second derivative of i**4\/12 - i**3\/2 - 2*i. Is j(l) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 5*r**2 - 2*r - 1. Let m be y(4). Suppose 2*k = 1 + m. What is the smallest common multiple of 8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14409410143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m + 30. What is y(17)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242 is divided by 49?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1387*i = -6*g + 1383*i + 14, -13*g + 2*i = -0*i - 9 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1931 - -95.62\nAnswer: 2026.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.4, -2\/3, -1.201?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**3 + 2*t**3 - 2*t**3 + (-3*t + t + 4*t - 13)*(52 + 4*t - 3*t**2 - 23 - 26).\nAnswer: -4*t**3 + 47*t**2 - 46*t - 39","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -256, -532, -1008, -1696, -2608, -3756, -5152?\n\"Answer: -2*f**3 - 88*f**2 + 2*f - 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 4\/5*v**3 - 2\/15*v**4 + 14\/15*v**2 - 24\/5 - 24\/5*v = 0.\nAnswer: -2, -1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0014655245 rounded to 6 decimal places?\nAnswer: -0.001466","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 250517935 and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/3 - 649216*h\/3 - 649210.\nAnswer: -2*(h + 3)*(h + 324605)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + 11)*6\/(-60)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 5*y**2 + 37*y + 171. Is w(-20) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2112211110 (base 3) to base 5.\nAnswer: -3101203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 21640.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22324?\nAnswer: 2, 5581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34)\/(-55) + (-172)\/215.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(15\/2)\/i*i\/(i\/i**(5\/4)) assuming i is positive.\nAnswer: i**(31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 17 - 15 + 8770*c**2 + 39.\nAnswer: 8770*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 579 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118147302 is divided by 91.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*q - 73*q - 94*q + 770 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2 = -6, -3*s - 29 = -y. Let p(r) = -3*r + 14. Is p(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 8*t + 3. Let o be (-1)\/(-5) + 1104\/(-120). Calculate a(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 >= 58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -0.3, -75, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 5*f. Let d(q) = -6*q. Suppose 6*h = -49*h + 990. Suppose -h*w + 5 = -17*w. Give w*d(j) + 6*x(j).\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j + 5 + 15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l + 7. Let v be d(3). Let p be 0\/v - 12 - 4. List the prime factors of (4\/p)\/(1\/(-76)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-2))\/(-4 - (-4 - -4)). Determine h, given that b*h**4 + 1\/2*h**3 + 0 + 0*h + 1\/4*h**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -336 + 341. Calculate the remainder when 117 is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374.7966ml in litres?\nAnswer: 0.3747966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37579791 or -37579790?\nAnswer: -37579791","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 8*u**2 + 3*u - 4. Let f be y(-6). Suppose -21*x = -7*x - f. Calculate the remainder when 54 is divided by x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 214442 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 - 3)*(-2*g + 2*g - 4*g)*(g**2 + 2 - 2 + (4 - 3 + 0)*(-8 - 7*g**2 + 8)) as b*g**2 + k*g**3 + i + x*g and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69383*t - 34255*t - 97315*t - 14482*t.\nAnswer: -215435*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*b + 43*b - 291*b.\nAnswer: -260*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 7*x**2 - x - 1. Let a be p(-7). Suppose 5*z = 3*o - 75, z + o = a*z + 85. Let q = 73\/4 + z. Which is smaller: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {u: 6, g: 1, p: 4, j: 2}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1061480*b**3*u**2 + 2358869*b**3 + 2*b*u**4 wrt u.\nAnswer: 2122960*b**3*u + 8*b*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 11 - 9 + 4*h**2 to the form r*h + c + a*h**2 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1690869334 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 321*m - 30*m**2 - 321*m in the form p + i*m**2 + u*m and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 5:10 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235562 + 79890 = 4639*q for q.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.495 - -283.505. Let j = n - 282.1. What is the third biggest value in 2, -0.1, j, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(6*(-1)\/20). Suppose 3*f = f + 4. Suppose -2*g - 2 = 4*c, 5*c = -3*g + c + 3. Solve -5*i + d = -g*x, f*i + 2*i - 17 = 3*x for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 326179000 rounded to the nearest one million?\nAnswer: 326000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -107, 2\/9, 0.3, 1\/4 in descending order.\nAnswer: 0.3, 1\/4, 2\/9, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*t = -5*i + 12*t - 33*t + 706, -i + 4*t + 0*t - 488 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 108899, 109397, 109895, 110393, 110891?\n\"Answer: 498*g + 108401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**2\/5 + 426*x + 74880 = 0 for x.\nAnswer: -390, -320","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -78.53 - -78.23. Which is the closest to i? (a) -1\/6 (b) 1 (c) 2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 94*g**2 - 2 + 0 - 9*g - 96*g**2 to s + l*g**2 + n*g and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -10, -1, 7, -67.8, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f - 2*f - 4*f + 6.\nAnswer: -6*f + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(-2)\/3*-9. Suppose 0 = j - v + 2 - l, -2*j - 2*v = 0. Suppose -j*n = 3*n - 16000. Round n to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a2 - -213c80?\nAnswer: 213bbc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 40 - 40 - 7*v. Let w(u) = -6*u + 0 + 12*u + 0. What is 3*w(q) + 2*y(q)?\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1197.\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-210)\/630)\/(((-10)\/(-84))\/5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132458?\nAnswer: 2, 103, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 2047?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 135 = 16*u. Let k(o) = -o**3 - 10*o**2 - 11*o - 3. Calculate the remainder when 74 is divided by k(u).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 + 13 = 10*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.034 and -4510874 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 74550 and 1889310?\nAnswer: 2130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 10:24 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-600)\/4050)\/((-100)\/270)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does -8269865 = -8269876?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 12:10 AM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, 7, -243, -1 in decreasing order.\nAnswer: 7, 3, 0, -1, -243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eighteen fifths of a millennium?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 9*y**4 + 2*y**3 + 3*y + 2256*y**2 - 2256*y**2 + (-2*y**2 + 2*y**3 + 2*y**2)*(y + 0*y + 0*y).\nAnswer: -7*y**4 + 2*y**3 + 3*y + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 6*i - 8. Suppose 2*d + 0 = i. Let g be ((-20)\/12)\/(d\/6). Put 4, 1, g in descending order.\nAnswer: 4, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2356665 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - z + 0*z)*(1 - 1 + 1)*(-5*z**2 + 2*z**2 + 0*z**2).\nAnswer: -9*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/29 (b) -0.756 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7903440 is divided by 3951717.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (630\/(-40))\/((-6)\/16). Suppose 0 = -z - z + 4*s + 30, -o = -4*z - s. Suppose -w + 15 = -z. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/2)\/(-7*12\/(-336))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-45)\/(-1))\/(2 + 0). Let k = l - 22. Let f be ((-1)\/2)\/(2 + -1). What is the third biggest value in k, 3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 7*d = 8*d - 688, -1735 = -5*f + 5*d. Suppose -k - f = -350. Solve 4*l + 3*j = -2*j + 24, k*l + 3*j - 17 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j. Let u(s) = 5*s**2 + s. Let n be u(1). Let h be z(n). Let g = h + -13. Is g bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7058, 7058, 7052, 7040, 7022, 6998?\nAnswer: 6968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aztfazffhaaaafa. Give prob of sequence zt.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1030.567 from -239.24.\nAnswer: -1269.807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 + 41. Suppose -27 = -3*l - 2*u, -3*l + 3*u + i = l. List the prime factors of (-2)\/l + 0 - (-1936)\/14.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d + 9. Suppose 3*p + 36 = -5*u, 3*p + p - 5*u + 13 = 0. What is o(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*r**3 - r + 10*r**2 + 2*r**3 + 3*r**3 - 8*r**2 to the form w*r + z*r**2 + m*r**3 + f and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1215*j**2 - 360*j + 80\/3 = 0. Calculate j.\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -18 (c) 7\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34209 - -60343. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -6*u. Suppose 0 = 5*j - 3*j + 2*n - 68, -n - 140 = -5*j. Let z(g) = 26*g + j*g - 54*g. What is z(h(c))?\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 i when two letters picked without replacement from nnimeeu?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d + 5. Let y(w) = 796*w**2. Calculate y(i(o)).\nAnswer: 796*o**2 + 7960*o + 19900","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(5) + 1 + -1) + -5.\nAnswer: -5 - sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**2*n**3*o - 3*a**2*o + 25435980*a**2 + 11*a*n**3*o + 25068657*a*n*o wrt a.\nAnswer: 4*n**3*o - 6*o + 50871960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 14*g. Let q be f(10). Let p = -37 - q. Suppose w + 9 = -3*n, 0 = -0*w + 3*w - p*n - 33. Let r(u) = -u**2 + 7*u. Calculate r(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -a586049?\nAnswer: a586050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-534703)\/(-104)*(-18)\/3*16\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 101*i**2 - 411*i - 2233. What is y(-97)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 - -0.3. Let x = 3.37 + -1.37. Which is smaller: p or x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*s + 1. Suppose 3*b = -71 + 254. Suppose 209 = -s*o - b. What is o rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**3 + 215*c**2 + c - 1. What is o(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 5*z - 30 = 0, -2*z - 18 = -2*b - 6*z. Suppose -683 = -b*y - 128. Suppose 0*c - 5*c = -y. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -19. Calculate the smallest common multiple of 40 and p.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 996 + -859. Is l a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 12:55 PM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 14*r - 5*a = -11991, -2*r + 7962 = -2*a. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -362 = -3*f - 5*j + 78, -5*f - 4*j = -755. Let l = -38 - 29. Let g = l + f. List the prime factors of g.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 100\/(-60)*(-9)\/5. Solve -v*q = -0*q - 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-7))\/(-3 + 45\/21). Which is the smallest value? (a) -5 (b) h (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -195.792 - -198. Round v to 1 decimal place.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nini when four letters picked without replacement from qiinqqnqn.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-10)\/4)\/5*-4. Let a(d) = -1 - 2 + d + 2*d. Let h be a(p). Solve h*w - 2 - 1 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/9 + 5602*s**2\/9 + 5608*s\/3.\nAnswer: -2*s*(s - 2804)*(s + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-2) + 954\/4. Calculate the greatest common factor of 24 and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -593.8921 * -0.5\nAnswer: 296.94605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 58119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 3*h - 10. Let l(q) = 2*q - 5*q + h*q. Let i(g) = 7*g**2 - 5*g + 5. Let j(u) = 10*u**2 - 7*u + 7. Let d(f) = 7*i(f) - 5*j(f). What is l(d(x))?\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/12 + (-5948)\/(-6). Let n = c + -1596. Let f = 1659 + n. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u**2 - 176*u + 1936 = 0. Calculate u.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.76 to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 173678329?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 189*w**2 - 553*w - 933. Calculate q(186).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -2 - 0. Let y = 0.064 + -4.064. Let p = -1.5 + 1.6. What is the nearest to y in p, 4, d?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9114*c - 4557*c - 4556*c - 2978)*(-3*c + c + 0*c).\nAnswer: -2*c**2 + 5956*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 392, 391, 390, 389, 388, 387?\nAnswer: 386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 184 - 126. Calculate the remainder when f is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1000111101 (base 2) to base 11\nAnswer: -481","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 33070215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of 0*w**5 + 0 + 0*w**6 + 1\/12*w**4 + 0*w**3 + 6*w**2 + 1\/42*w**7 + 0*w. Find the second derivative of k(t) wrt t.\nAnswer: 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 269 + -269.5. Which is the third smallest value? (a) -11 (b) m (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10\/(-4))\/((-1)\/(-16)). Let p be 134\/10 + (-24)\/k. What is the highest common divisor of p and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 1032*a. Let s(c) = -8*c**2. Determine m(s(w)).\nAnswer: -8256*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18770*d - 18770*d + 37542*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (7 + 4 - 8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 67\/4 + 6 + 207\/(-36). Calculate the greatest common factor of t and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -113 + 114.672. Let i = q - 1.7. What is i rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 279086271513 and 0.5?\nAnswer: 279086271512.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35900223 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 2 - 1 - 4*j + 0 to the form b + o*j and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 168 and 896?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -9 - -8 - 7\/(-4)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*k + 2*v - 4 = 18*k, 0 = -2*k + 5*v - 10 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 503 < 4540\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 11263, 89897, 303319, 718921, 1404095, 2426233, 3852727, 5750969?\n\"Answer: 11232*s**3 + 2*s**2 + 4*s + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1484 a factor of 43969033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.1090266kg?\nAnswer: 109026600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-1 + (2 - -6)) - (-18 + 6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-81)\/(-135))\/(7\/10)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d - 6. Let n be s(7). Let x(y) = -y**3 + 7*y**2 + 7*y + 8. Let t be x(n). Suppose t = -4*g + g + 48. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16126846?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d*m*r + 14*d*m - 2*d*r - 6*d + m*r + 3*r - 876 wrt d.\nAnswer: -m*r + 14*m - 2*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -104\/197061 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**1)**(-1\/16))**2 assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-1))\/(-8 - -6). Let z(p) = -4*p**3 + p**2 + 2*p + 1. Let q be z(x). Let b be -2*(1 - (-10)\/(-12)). Sort b, 1\/7, q in descending order.\nAnswer: q, 1\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*j = 15. Let q = -1 + j. Suppose 2*l = 5*u - 453, 4*u + 0*u = q*l + 372. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/208 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.643 rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 19\/4 of a millennium?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -1328*j - 4962. Give q(-4).\nAnswer: 350","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13752 (base 9) to base 5.\nAnswer: 244422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - c - 1591 = 0, 5*s - 4*c = 699 + 880. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*s**2 + 8*s**2 - 27*s**2 + 8*s**2 to the form l*s + w + b*s**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-698)\/(((-8)\/18)\/(54\/243)). Which is smaller: x or 361?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -21. Let n = h + 12. Suppose 2 + 0 = -4*t - c, t + 9 = 4*c. Put 3, t, n in increasing order.\nAnswer: t, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1200101301 - -13?\nAnswer: -1200101222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + b + 1, 0 = -3*y - 0*y - 5*b + 21. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 78 + -16. Suppose a = u + 42. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uy when two letters picked without replacement from {y: 1, u: 11, d: 2}.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3528, 7069, 10624, 14193?\nAnswer: 17776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m - 2. Let w be v(-2). Suppose -139*b + 137*b + 33 = -5*t, 3*t - 1 = -4*b. Let h(r) = r + 3. Let x(a) = -a - 2. What is t*h(l) + w*x(l)?\nAnswer: l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4 - -0.4. Let f = -0.65 - 0.11. Let n = f + 0.8. Do m and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1032533261.\nAnswer: 1032533261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(90)*3).\nAnswer: sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {h: 1, l: 1, i: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1998864 to the nearest integer?\nAnswer: 1414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + w + 9*w)*(w - 2 + 2 + 3*w - 3*w - 3*w + (0 + 0 + 2*w)*(1 + 1 - 4))*(371 + 278 - 5).\nAnswer: -27048*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*k = -153 + 17. Calculate the remainder when k is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + -16. Suppose 0 = u - 5 - y. Suppose -u - 5 = -4*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 12*h**2 + 13*h + 20. Let u be y(-11). Let i be -5 + (-204)\/(-100) - (-1 + u). Let k be ((-1)\/(-2))\/(2\/(-4)). Which is bigger: i or k?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*o + 0*o - 94*o)*(2*o - o + 0*o)*(0 - 2*o + 0) to d*o**2 + t*o + z*o**3 + x and give z.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-72)\/21)\/4 - (1 - (-9)\/(-9))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -k**5 - 5*k**4 + 10*k**3\/3 + 30*k**2 - 45*k + 8. Find c such that d(c) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 13, 343, -2\/3?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111011010010010101100 - -1011000?\nAnswer: 111011010010100000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4 = -u. Suppose 4*p + p - u*y - 2 = 0, p - 5 = 5*y. Solve p = -5*c + 5*h - 10, h + h = -2*c + 12 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 0 + 3)*(-2 + 2 + 2*l)*(2 + 1 + 0) + 2 - 2 + l + (3 + 0 - 1)*(-2*l + l + 2*l) + 0*l + 5*l - 3*l.\nAnswer: 101*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**4 - s**4 + 4*s**4)*(0*s - 15*s - 6*s + 69*s).\nAnswer: 48*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 - 75 + 36 - 2*q**2 + 1280*q**3.\nAnswer: 1280*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -4*v - 7. Is 19 a factor of p(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*sqrt(104) + sqrt(104))\/(-2*sqrt(128) - sqrt(128)) + -2*sqrt(78)\/(sqrt(12)\/sqrt(2)*2).\nAnswer: -25*sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18772 + 14395133.6?\nAnswer: 14413905.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kqkqnvkqqkqt. Give prob of picking 1 n and 1 k.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/32040 and -79\/42264.\nAnswer: 18807480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 8) in base 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/4*4774\/1085.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 8. Suppose 9 = -s + 3*w, 0 = -5*s + 3*s - v*w + 6. Suppose 4*u = -s*n - 5*n + 2668, -u + 2*n + 667 = 0. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 14*v + 5. Let o be u(1). Suppose 15*c = o*c - 20. Calculate the lowest common multiple of 7 and c.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -2*d + 3*d - 13, 0 = 3*s - 4*d + 16. Suppose 496*b = -31*b + 1163 - 109. Put b, -6, 4, s in descending order.\nAnswer: 4, b, s, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6469763 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -182, -135, -56, 55, 198, 373, 580?\nAnswer: 819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 - (128 - 129).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 8 = -2. Factor 31*i**5 + c*i - 25*i**5 - 2*i - 3*i**3 + 3*i**4.\nAnswer: 3*i**3*(i + 1)*(2*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*a**4 + 95801*a**2 - 43537.\nAnswer: -16*a**3 + 191602*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/36 - (-20)\/(-6). Is 5*(f - (-663)\/15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -39*c**3 - 5*c**3 - 75*c**3 + (-2*c**3 - 2 + 2)*(1 - 4 + 5).\nAnswer: -123*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 7*p**2 + 7*p. Let r be (19\/(-19))\/(2\/(-12)). What is the remainder when 10 is divided by a(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 44 = -4. Let h be (-196)\/a - (-3)\/15. Suppose -2*v - 5*m = -4*v + 14, -2*v + 3*m = -h. Solve 5*q + 16 = -2*z, -3*q - z - v*z = 15 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 2*l**2 + 7*l - 8. Let u(c) = 15*c - 210. Let k be u(14). Suppose k = -11*n - 11 + 44. What is y(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 16173673069 and 0.28.\nAnswer: 16173673069.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(95) - (sqrt(95)*-2*3 + sqrt(95)))\/(sqrt(5) - ((sqrt(10)*1)\/sqrt(2) - sqrt(5))) + 0.\nAnswer: -5 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 333 + 4?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 23*j**3 + 4*j**2 + 2. Let b(u) = -12*u**3 - 2*u**2 - 1. Determine 7*b(w) + 4*n(w).\nAnswer: 8*w**3 + 2*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ad + -3?\nAnswer: -b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -152.3710481 rounded to 1 decimal place?\nAnswer: -152.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93372123?\nAnswer: 3, 13, 2394157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 8347.56 to the nearest one hundred.\nAnswer: 8300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 120426 - 119519 - 11*y + 7*y in the form d*y + v and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 4*n + 14, 5*n = 2*j + 4*n + 28. Let w = j - -13. Let g = -5\/37 + 99\/185. Put 2, w, -1\/2, g in decreasing order.\nAnswer: 2, g, -1\/2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-28) + 4\/(-21)*12. Let o(f) = -f**3 - f**2 - 3*f - 2. Calculate o(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -191 + 271. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -5.9. Let a = s + -0.1. Let p = 5 - 5. Sort p, 2, a.\nAnswer: a, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3\/8)*t\/t**(-2\/3))**(-1\/13)\/(t*t\/((t*t**1)\/t*t)*t*t**(-1)*(t**(-1\/4)*t)**17) assuming t is positive.\nAnswer: t**(-4009\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**2 - 925612*v + 107094696818 = 0 for v.\nAnswer: 231403","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-313 + (-1278264)\/(-4080))\/((-2)\/7 + 614\/(-56))?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 12 = 3*g. Let a be g\/8*-2*-4. Let l(h) = 9*h**2 + 46*h + 5. Let b be l(-5). Solve -n + b*n - m = a, 12 = -4*n + 4*m for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-594)\/(-330) + 34206\/(-19120) and 67\/956?\nAnswer: 1912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/3*(-128)\/((-41216)\/(-42)).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -10, 1\/3, -33, 8, 2\/19?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8419\/86 + 112\/43. Let t = b + -98. Find the common denominator of -59*(3 - (-75)\/(-24)) and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*q + 36 = -14*q. Let -4 + 10*c + 3*c**5 + 9*c**4 - 6*c**2 + q*c**3 - 19*c + 1 = 0. Calculate c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40934669 at least 122804009\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4876027061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -7*u + 3. Let w be y(2). Let d = w - -7. Put -1, d, 4 in decreasing order.\nAnswer: 4, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + 13*c. Determine l(-6).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3*j + 24 = 0, 5*j - 3*j = -w + 10. Suppose 4*c - 3*h - 226 = 34, 2*h = 3*c - 196. Calculate the remainder when c is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + -1 - (-27 - -2). Suppose j*p - 30*p = 6. What is the units digit of ((-14)\/21)\/((-50)\/24 - p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115424876041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001 + 100000111000110101110?\nAnswer: 100000111000110111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u**3 - 15*u**2 + 8*u. Determine z(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 550837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 + -19.6. What is the second smallest value in 1\/15, 1\/4, u?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2808\/(-1755)*(-10)\/(-12)*1*9\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -39*l**3 + 3*l + 3*l**2 - 23*l**4 + 123*l**3 - 54*l**3 + 3 - 27*l**3 as t + w*l**4 + d*l**2 + g*l**3 + y*l and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, y: 3}. What is prob of sequence yyy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**2*w)**(-1\/11)\/(w\/(w**(1\/4)\/w*w))**(-22) assuming w is positive.\nAnswer: w**(357\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i - 456. Let x(m) = 261*m**2. Determine g(x(v)).\nAnswer: -522*v**2 - 456","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 2*v**2 + 4*v - 2. Let o be t(4). Is 47\/3 - 6\/o a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.486038342 to four decimal places.\nAnswer: -1.486","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4257*w - 2151*w = 2341*w + 664924 for w.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -87, 273098\/13, 3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 5. Let b(x) = x + 0*x - 2 - 1 + 7*x. What is b(n)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12671023 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j + 15 = 10*j. Solve 6*k**5 - 6*k**3 - 9*k**3 - 3*k**4 + 6*k + 3*k**2 + 0*k**j + 3*k**5 = 0.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 501\/4 + -126. Let r be (-10)\/(0\/(-5) - 2). Suppose -4*y + 4*p - 13 = -3*y, y = -r*p + 14. Is y at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-5 - (-6 + 5) - -9).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 5 - 1 = 4*q, 3*q - 3 = 0. Suppose t = 2*w - 10 - 92. Suppose -k + 4*k - w = 0. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -125 divided by 9.\nAnswer: -125\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262239 is divided by 2064?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -403?\nAnswer: -410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12366568?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 plus 2671317476?\nAnswer: 2671317473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43194 and 414?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 344354 (base 6) to base 8.\nAnswer: 71516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g - 2*g - 479*g**3 + g + 471*g**3.\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 3 = -2*u. Is 6 a factor of -1 + (1 + u)*6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1852908548?\nAnswer: 2, 997, 464621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eleven eighths of a week?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3\/3 + 5860*p**2\/3 - 451968*p.\nAnswer: -4*p*(p - 1177)*(p - 288)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 101000010101001001010 (base 2) to base 8\nAnswer: 5025112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/18 and 5\/(4*(-2)\/4 - -334).\nAnswer: 2988","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40 + -38. Let r be (-3)\/((21\/h)\/(-7)). Factor 14*u**3 - 40*u**3 + 3*u**r + 23*u**3.\nAnswer: -3*u**2*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -498 by 1.\nAnswer: -498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(-3 - 0) + 193. Let b = -293 + j. Let z = 180 + b. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4 - 119*l**3 + 969*l**2 + 2555*l - 26950.\nAnswer: (l - 110)*(l - 7)**2*(l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -5*z**3 - 2*z**2. Let o(g) = -g**2. What is -2*o(u) + p(u)?\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/77 - -1235\/231. Which is bigger: f or 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -85915 - -58095. Is 3 a factor of (-1)\/3 - (d\/39)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-28) - 99\/(-462)) + 4\/48.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_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: Round -6279.747 to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5109 is divided by 5065?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -9*o**5 + 15885*o**4 + 15891*o**3 + 15893*o**2\/3 + 1766*o\/3 = 0.\nAnswer: -1\/3, 0, 1766","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/((40\/12)\/(-5)). Suppose j*a - a - 152 = 0. List the prime factors of a.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.447256g in kilograms?\nAnswer: 0.007447256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6951?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 7:26 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 19*m - 276. Let a be j(15). List the prime factors of (2\/((-16)\/(-12)))\/(a\/1626).\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/2 + 147*u\/2.\nAnswer: u*(u + 147)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -y**3\/3 - 7*y**2\/2 + y + 338. What is w(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45407.07ns in seconds?\nAnswer: 0.00004540707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, e: 3, z: 2, l: 1, t: 1}. Give prob of sequence jez.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.18, -4, 3, 0.2, -0.026, -5 in increasing order.\nAnswer: -5, -4, -0.026, 0.18, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 1877412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u - 16*u + u)*(2*u - u**3 - 2*u + (2*u + 3*u - 7*u)*(0*u**2 + 0*u**2 + u**2) + 0*u**3 + 3*u**3 - 2*u**3).\nAnswer: 36*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 7) to base 16\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of -2 + 29*w**2 - 89\/4*w**4 + 91*w - 1\/3*w**3. What is the second derivative of p(i) wrt i?\nAnswer: -534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 245808 and 324?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13.38001087 - 13.38. Round g to six dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 604 and 184.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-2) + 66\/44. Suppose -q - k*v + 23 = 0, -5*q + 0*q - 5*v + 100 = 0. Calculate the remainder when 100 is divided by q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 0*i - 70. Suppose -3*t - 4*h = -i, -10 = -6*t + 3*t + h. Solve t*d = -5 - 5 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20.053 + 5.\nAnswer: -15.053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 1\/4 (b) 912 (c) 0.1 (d) -3255\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 22 = 28. Let g be (j\/(-9))\/(3 - 3\/18). Suppose 5*o = m + 4*m, -4*o = 4*m. Is g < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-17 + 3)) + (117 - 97 - (8 - -122))?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 4*w**4 + 128*w**3 + 852*w**2 - 3400*w - 9248 = 0.\nAnswer: -17, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05877302 rounded to three dps?\nAnswer: 0.059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -104, -2\/31, -4, 0.04, 2.27, 1 in ascending order.\nAnswer: -104, -4, -2\/31, 0.04, 1, 2.27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20547201 and 41439.\nAnswer: 2181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1345069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 5523.8 to the nearest 100.\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i - 16*i + 30. Differentiate -2*z**4 + 192 - 269*z**i + 370*z**3 + 0*z**4 with respect to z.\nAnswer: -8*z**3 + 303*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-9)*(1132\/99050)\/((-1)\/15).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-15) - (-1862688916)\/9015 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d + 17*d = 364. Let v(z) = z**3 + 7*z**2 + 5*z + 7. Let y be v(-6). Calculate the greatest common divisor of d and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) 0.07 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 13 = w, 0 = 4*w - 0*w + 3*b - 52. What is the greatest common factor of w and 416?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 12:52 AM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 765613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -8. Suppose 0*k = -2*k - 468. Calculate the common denominator of 67\/2 and k\/40 + r\/20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggxgjjxgxggjgjgcggjg. What is prob of sequence cj?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 0)*(2*z**4 + 3*z**4 - 4*z**4)*(-1 + z + 1) + 6*z**5 + 0*z**5 - 5*z**5.\nAnswer: -2*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h*h**11*((h*h**1)\/h)\/h assuming h is positive.\nAnswer: h**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 34*v**2 - 36*v - 101. Let k be o(-33). Let g = -0.6 + 0.3. Which is the fourth biggest value? (a) 3 (b) k (c) -1\/7 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/5 + 9542*u**2\/5 - 28619*u\/5 + 19078\/5.\nAnswer: -(u - 9539)*(u - 2)*(u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*k + 21*k = 20*k + 180 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of 13*j**5\/30 - j**4\/24 - 13*j**3\/3 - 138*j**2. List the prime factors of g(-6).\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.2 - -3. Let p = 6 - 5.82. Let j = -0.12 - p. What is the nearest to 0 in -2\/9, j, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.8 and 16.73.\nAnswer: 13.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 0*i = i - 1834, -1824 = -2*s + 4*i. Suppose 2*x - x - 3*j + 530 = 0, 2*x = j - 1085. Let n = x + s. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 4. Let t = 0 - k. Is t equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 17, 22, 25, 26?\n\"Answer: -p**2 + 8*p + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 5*p - 15, -1777*m = -1779*m + 12. Let u(o) be the first derivative of -o**2\/2 + 9*o + 19. Give u(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -40*s**5 - 18945*s**4 - 39290*s**3 + 4794120*s**2 + 3012930*s - 1801575 = 0?\nAnswer: -471, -17, -1, 3\/8, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -53004 by 21.\nAnswer: -2524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9344738 and 25038?\nAnswer: 2782","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 1200110111?\nAnswer: 1200110022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/5 - (-36)\/15. Let -9*f**3 - 6*f**2 + 6*f**3 + 22*f**w - 81*f + 11*f**2 + 81 = 0. What is f?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, v: 3}. Give prob of picking 1 p and 1 v.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 12:00 PM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/117895 and 69\/2090?\nAnswer: 2593690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 19*z**2 + 254*z - 16. Let b be a(-15). Solve -6*s + 473 = b for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 11915 = 4*c, -s + 5*c + 11900 = 4*c. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.173 + 0.173. Which is the closest to -1? (a) w (b) 4 (c) 2\/11 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 0.4453.\nAnswer: -1.3359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17692 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9633, -9581, -9515, -9429, -9317, -9173, -8991?\n\"Answer: z**3 + z**2 + 42*z - 9677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 4*c - 2. Calculate the remainder when 124\/7 - (-12)\/42 is divided by r(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p + 15. Let a be i(13). Suppose a*s + 0*s - 86 = 0. Let f = 107 - s. Calculate the remainder when f is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g - 3*r + 5 = g, -r = 1205*g - 1204*g - 3 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 297100 (b) 0.3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6718 or -6717?\nAnswer: -6718","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.149 - -0.249. Let g be ((-2)\/14)\/(2\/(-4)). Which is the nearest to s? (a) 0.3 (b) g (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.01 (b) 4 (c) 1 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2015 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h. Suppose -6 = -5*j - 11. Let w(i) = -9*i**3 + 15*i. Let n(y) = j*w(y) - 3*v(y). Find the second derivative of n(c) wrt c.\nAnswer: 54*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -148763682.\nAnswer: 1\/49587894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39468 and 184184.\nAnswer: 552552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 355336670.\nAnswer: 2, 5, 13, 19, 263, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 2*z - 20, 3*z = -y + 2*z - 20. Let n = -12 - y. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.00487119 times 0.08\nAnswer: -0.0003896952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + 0*l - 4*l)*(1001 - 1001 + 1118*l).\nAnswer: -1118*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 12) to base 7\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/17, 0.1, 39.4, 1\/8, 23, -0.1, -4?\nAnswer: 39.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005961 rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 + 14 + -11.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 831191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/3*2*3. What is the common denominator of -113\/20 and 1 + n*195\/108?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117379771 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 972\/(-180)*(-20)\/(-28)\nAnswer: -27\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -50, -45, -22, 31, 126?\n\"Answer: 2*c**3 - 3*c**2 - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -301\/65 - 10\/13. Which is the nearest to 1? (a) v (b) 0.5 (c) 1\/4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34 - 99. Let n = f - -133. What are the prime factors of n?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -17 + (-13 - -30).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - 5*v + 12. Let t be a(3). Solve -4*d = 14 + t for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93434 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/15 and -2022 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 3 + (-2 - 3 + 3)*(4 - 1 - 1))*(-19*t**2 + 9*t**2 - 19*t**2).\nAnswer: 58*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 39625729 to the power of 1\/2, to the nearest integer?\nAnswer: 6295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(4\/5))**(29\/2)*(d*d**(1\/30)\/d)\/(d\/d**12) assuming d is positive.\nAnswer: d**(679\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**2 - 2*d**3 + d**2 + (0*d**2 + 0*d**2 + 2*d**2)*(2*d - 7*d + 2*d) + 149*d**3 - 123*d**3 + 92*d**3 to the form k + x*d + r*d**3 + q*d**2 and give r.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4680 = 223*q - 449 for q.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -469707 to the nearest one thousand.\nAnswer: -470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/8, -219, -369, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 m when two letters picked without replacement from {j: 1, d: 3, x: 3, y: 1, m: 2}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -p + 3801 - 3723, 0 = 3*m - 2*p - 39 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -2. List the prime factors of z\/(-4)*-8 - -59.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*l**3 + 15*l**3 + 208*l**3.\nAnswer: 231*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/12025 and -27\/4181?\nAnswer: 1358825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 a, and 1 y when three letters picked without replacement from qpjpsyypaqyqypajsyqy?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 191*y**2 - y - 1. Let f be c(-1). Let a = -59 + f. Let q(v) = 6*v**2 + 132 - a. Let b(p) = 5*p. Calculate b(q(t)).\nAnswer: 30*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 1\/13 (c) 41 (d) -0.6 (e) 0.4 (f) -0.4 (g) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 778043 or 778119?\nAnswer: 778043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.49 + -0.24. Let h = k + 0.05. Which is the closest to 0.1? (a) h (b) -4\/7 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 50.879 - -0.121. Let j = -47 + r. Which is the smallest value? (a) -0.2 (b) 1 (c) -9 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 129659 and 40125647?\nAnswer: 7627","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w*w\/((w*w\/(((w\/(w*w**8*w))\/w)\/w))\/w))))\/w**6)**32*(w\/(w\/(w\/(w*w\/(w**(-1)\/w)))))**(-6\/19)\/(w\/w**1)**(-42) assuming w is positive.\nAnswer: w**(-9710\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -s**3\/4 - 11*s**2\/2 + s\/4 + 11\/2 = 0.\nAnswer: -22, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -2. Suppose -4*g + 5*c = 6*c + 31, -4*g - 3*c - 29 = v. Let m be 2\/g - 123\/(-12). What is the highest common divisor of m and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -26*r - 360. What is m(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -888884 divided by -222221.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18.1*4.\nAnswer: -72.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/sqrt(3))**2*2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*l - 260506 + 260506.\nAnswer: 24*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -1111100110100?\nAnswer: 1111100110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o = -5*o + 75. Suppose o*a + 4*v = 121 + 1115, 2*a - 492 = -4*v. List the prime factors of a.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -33cc + -5bb6?\nAnswer: -9093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1000 >= -991?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 394091, 788184, 1182277?\n\"Answer: 394093*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 780\/660 - (4\/(-11))\/(-2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1351009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1715352 rounded to 2 decimal places?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -1.98526621.\nAnswer: 5.95579863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 4. Calculate the least common multiple of r and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21022001 (base 3) to base 12\nAnswer: -30b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h = -26 - 6. Factor 61*j**3 + 7*j**4 - 35*j**3 + 15*j - 40*j**3 + h*j**2 - 9 - j**5.\nAnswer: -(j - 3)**2*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c + 4*y - 8, -756*y - 3 = -3*c - 759*y for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 351549 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 15538, 31140, 46742, 62344, 77946, 93548?\n\"Answer: 15602*y - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (-22 - -20 - (4 - -14))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 395*j - 126994 = -1145*j + 189*j for j.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/7 of a week in hours?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/9001 at most as big as 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25.83 + -2.77. Let r = 28.9 + w. Which is the fourth smallest value? (a) 21 (b) r (c) -1\/2 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**22\/o)\/(o\/o**(-1\/2)) assuming o is positive.\nAnswer: o**(39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.05 + 0.05. Let i = -41\/20 + 14\/5. Which is the second smallest value? (a) -3 (b) h (c) -1\/2 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18020145 not equal to 18020142?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from njgajgninsangg. Give prob of picking 1 s and 1 a.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r. Let p(t) = 2*t + 3. Calculate 6*n(h) + p(h).\nAnswer: 20*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, 2, 3, 123, 4, -3 in descending order.\nAnswer: 123, 45, 4, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3636 and 1818.\nAnswer: 3636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)*2 + sqrt(252) + 2 + 0)**2 - (-3 + sqrt(35)\/sqrt(80) + 4).\nAnswer: 287*sqrt(7)\/4 + 2271","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 192113409 a multiple of 4911?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*b**2)*(-100*b - 1412 + 1413 + 29*b).\nAnswer: -142*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-6*(sqrt(91) - 1*sqrt(91) - sqrt(91)))\/(-2*sqrt(847)).\nAnswer: -3 - 3*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -28533 and 6.35?\nAnswer: -181184.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 22*i - 23*i - 11, -c + i - 4 = 0. Let q(x) = 4*x**2 - x. Calculate q(c).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.91 - -0.11. Let b = -0.6 - h. Sort 1, b, 2\/19 in increasing order.\nAnswer: 2\/19, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n - 1 + 1 + 14. Let z be d(-13). Let j = 75 - z. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d - 1. Let u(z) be the first derivative of 2*z**2 - 14. What is -2*s(w) + u(w)?\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2414724649?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4935378?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = l - 200, 3*l + 4*c + 329 = 929. Suppose -n + 6*n = l. Calculate the remainder when n is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g - 18. Let z be p(-6). Let q be z - (-2 - -3)*3. What is the tens digit of (-52)\/(-13) - (-1 + q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14260, -28546, -42852, -57184, -71548, -85950, -100396?\nAnswer: -114892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 103501*n**2 - 35018*n?\nAnswer: 207002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -672*n = -680*n + 56 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 350, 355, 360, 365, 370?\nAnswer: 375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 3*z - 20, -5*z + 2*z + 16 = 5*c. What is the remainder when 34 is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/1041 and 31\/33.\nAnswer: 11451","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of 0*j + 1\/36*j**4 - j**2 - 7\/135*j**5 - 1 + 2\/27*j**3. Let f(u) be the second derivative of o(u). Factor f(r).\nAnswer: -2*(2*r - 1)*(7*r + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 3 = -q. Is q a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -230, -559, -990, -1523, -2158?\n\"Answer: -51*h**2 - 176*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - (15 - -23)) + 60.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 7 = -3. Let h(o) = -162*o - 2*o**c + 4*o**2 + 162*o. Let b(d) = 4*d. Give h(b(s)).\nAnswer: 32*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(80) + -1 + -1.\nAnswer: -2 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/61, 10, -0.05 in increasing order.\nAnswer: -0.05, 2\/61, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -9802.\nAnswer: -5\/9802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 5*k - k + 3*j, 0 = -k - 4*j - 8 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 82?\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 12*y**2 - 5*y + 3245. Let u be g(0). What is the highest common factor of u and 220?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006883266 to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = r - 6*r. What are the prime factors of (106\/(-4))\/(r\/12)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10522139 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1188, -4654, -10374, -18330, -28504, -40878, -55434?\nAnswer: -72154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -1729*j - 25927. Determine o(-15).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -724.24 + 695. Let c = s + 30. Let l = c + -0.76000123. Round l to seven dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2449924260 to the power of 1\/2, to the nearest integer?\nAnswer: 49497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -511678 - -75?\nAnswer: -511603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 2*s**2 - 5 + (-s + 3*s + 0*s)*(-s + 3*s - 4*s) - 3*s**2 + 2*s**2 + 5*s**2)*(30 - 211 + 661) to the form m + w*s + c*s**2 and give c.\nAnswer: -960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-0.587.\nAnswer: 0.1761","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 511*k**2 - 13383*k - 410. What is w(25)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + k = -48. Let s = k - -10. Calculate the remainder when s\/8*340\/(-5) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -21*w + 17. Suppose 0 = 7*r - 9*r - 12. Let z(h) = 5*h - 4. What is r*f(i) - 26*z(i)?\nAnswer: -4*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1324.6 + -1321.6. Let n be ((-6)\/4)\/((-66)\/(-8)). Which is the closest to 0.1? (a) n (b) g (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -2210?\nAnswer: -2133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**3)**(-28))**(22\/3)\/(((f\/f**(-2\/9))\/(f\/((f*f**(3\/11))\/f)*f*f))\/(f*f**(-3\/2)\/f*f**(-6))) assuming f is positive.\nAnswer: f**(-123155\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 56654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, f: 1}. What is prob of sequence fqq?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1153602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -18\nAnswer: 7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 19 = -18*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 0.042.\nAnswer: -0.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2934 + -79156\/27. What is the common denominator of r and 8\/3?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(40) - sqrt(200)\/sqrt(5))*-4 + sqrt(40)))\/(-2*sqrt(200) + (sqrt(8) - sqrt(96)\/(sqrt(24)\/sqrt(2)))).\nAnswer: -2*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*r + 59*l = -3*r + 54*l + 157, 3*r + 2*l = 4*l - 63 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72177 and 237111.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1594 a factor of 7938120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r**(3\/8)*r)\/r)**(-2\/63)*(r\/r**(1\/6))\/r*r*r**(1\/16) assuming r is positive.\nAnswer: r**(859\/1008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55, -53, -53, -55?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 19 = 2*b, -11*b + 2*j = -6*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7\/135 - 121\/270. Let d = -1\/17 - 1\/17. Sort j, d, 0, 2 in descending order.\nAnswer: 2, 0, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4336729476?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1173890 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -581096 and -4.8.\nAnswer: -581100.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.052471 and -2.4.\nAnswer: -0.1259304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -754 - 1766 + 44*q**3 - 465*q**3 - 776 - 1027 wrt q?\nAnswer: -1263*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*i + 387*i + 426*i + 262*i - 137*i.\nAnswer: 877*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110030002 - -100332?\nAnswer: -103323010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of -x**6\/480 + 29*x**5\/80 - 1646*x**2. Suppose p(v) = 0. Calculate v.\nAnswer: 0, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70 and 6850?\nAnswer: 47950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w - 5. Let z be (-4)\/12 - (-2)\/(-3) - -3. Suppose -9*a - 4*b - 10 = -12*a, -z*a + 2*b = -8. Calculate y(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 d when two letters picked without replacement from {z: 2, j: 1, d: 3, v: 1, y: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - 4*u**2 - u + 4. Let p be d(-4). Solve 0 = -7*m + p - 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000864 to 4 decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 3645695\nAnswer: -10937085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**2 + 2*d - 2*d + (-d + 2*d - 2*d)*(-3 + 2 - 1)*(-2898*d - 2688*d + 5239*d) as x*d**2 + c*d + k and give x.\nAnswer: -696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -33*o**2 + 9*o - 9. Let z be k(1). Is ((-9)\/(-6))\/(z\/(-575938)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 7:58 AM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 381 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-212 - -213)\/((-6)\/9) - -21?\nAnswer: 39\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 5:28 AM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - 7. Suppose 2*y - 2 = -r, -2*r + 11 = 3*y + 10. Let o(z) = -1. Determine y*n(k) - 21*o(k).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 658500313.\nAnswer: 79, 8335447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**4\/7 + 88*m**3\/7 + 26*m**2 + 92*m\/7.\nAnswer: -2*m*(m - 46)*(m + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(2\/5))**(-49)\/(w**(2\/5)*w)**(-3) assuming w is positive.\nAnswer: w**(-126\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bzzz when four letters picked without replacement from {b: 2, u: 3, z: 3}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35*a**2 - 43*a**2 - 71*a**2)*(-2*a - 5 + 5)*(12*a**2 + 5*a**2 + 16*a**2).\nAnswer: 5214*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 458812.1 millimeters?\nAnswer: 0.4588121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*s = 775*s + 178*s - 341*s - 35910 for s.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -8720*p + 8716*p + 80, 2*k - 16 + 84 = 4*p for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2112)\/sqrt(11))**2 - (sqrt(3) - sqrt(27)\/(-2*sqrt(9) + sqrt(9))).\nAnswer: -2*sqrt(3) + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4789 + 4789.000002341. What is y rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*q = -27*q + 228 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 4 + (5 + -8)*1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -101 + 704\/7. Let s = -0.422 - 0.018. Let u = s - -0.84. What is the biggest value in b, -3\/4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - 8*m + 3. Let g be s(7). Is 14 a factor of (-2)\/((-16)\/142) + (-1)\/g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-31)\/(6324\/3740))\/(13\/39)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -121 and -5?\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**5 + 271*h**4 - 17873*h**3 + 34937*h**2 - 17334*h = 0.\nAnswer: 0, 1, 107, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5278 - -144\nAnswer: -5134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -50530.59109 + 50528.334088671. Let s = y + 2.257. Round s to seven decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 2:29 AM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tggvtvgggttggt. Give prob of sequence vvt.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19790?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*l**3 - 315*l**2 - 2525*l + 875.\nAnswer: 5*(l + 5)*(3*l - 35)*(3*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-162)\/(-10692))\/((-1)\/(-18)).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 26 = -3*c, 2 = -5*w - 4*c - 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 46*x**2 + 46*x**2 - 138*x**2 + 47*x**2. Let f(p) = 10*p**2 - 3. Let n(q) = -9*q**2 + 2. Let j(r) = 2*f(r) + 3*n(r). Give j(d(u)).\nAnswer: -7*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 4127827.7 to the nearest 1000.\nAnswer: 4128000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (258\/8643 - (-22672)\/(-871)) + -82\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 52 + 72 = h, 5*h - 100 = -2*n. Is n a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3 - 510*q**2 + 985*q + 1500.\nAnswer: 5*(q - 100)*(q - 3)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bpikbui. What is prob of picking 1 u and 1 k?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 27446184 a multiple of 342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -125084.65 - 3.\nAnswer: -125087.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/514 and 23\/6.\nAnswer: 1542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 1 - 13. Suppose -4*f + 5*h - 8 + 35 = 0, -5*h = 5*f. Calculate the lowest common multiple of y and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of x**3\/6 - 8*x**2 - 2*x - 9. Give k(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3929*r - 3931*r = 20*x - 19*x + 17, r = -3*x - 6 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4117, 9280, 15469, 22678, 30901?\nAnswer: 40132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/30 and -91\/21180?\nAnswer: 21180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 + 0*t**2 + t**2)*(-17*t - 6 + 11 + 18*t).\nAnswer: -t**3 - 5*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1725 - 1725 - p**4 - 75*p**5)*(-1 - 2 + 5) + 2*p**5 + 14*p**5 + 7*p**5.\nAnswer: -127*p**5 - 2*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -115 + 5?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002186739 rounded to seven dps?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.351 + -4.12515122.\nAnswer: -4.47615122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 2*q + 850, 4*q - 149 - 21 = -a. Calculate the greatest common divisor of a and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = b + 18. Find the second derivative of 27*d + 5*d**3 - 6*d**3 + b*d**3 - 25*d wrt d.\nAnswer: 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95539.66ms in seconds?\nAnswer: 95.53966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1199813, -1199792, -1199759, -1199708, -1199633?\nAnswer: -1199528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28551 - 71449 = 5*f. Let v be (96 - -4)\/(2\/f). Round v to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/5)\/((-2013)\/305)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 u when two letters picked without replacement from tdbccttucbcc.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298152 is divided by 616?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*z + 70*z - 5*z)*(21*z**2 - 21*z**2 + 11*z**3).\nAnswer: 803*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -15369940 greater than -15369938?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 20*h**2 + 40. Determine z(-20).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/((6\/(-8))\/((-249)\/664)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*x**2 + 26*x**2 - 6*x**2.\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) -1\/407 (b) -3 (c) -4.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/4)\/((-345)\/92). What is the nearest to 4 in -0.3, n, 0.13?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2151 - 3885 = 260*g - 576 for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (5 + ((sqrt(192) - (sqrt(192) - (sqrt(192) - (sqrt(192) + 5 + 5)))) + -6*(sqrt(192) + sqrt(192) + -4))*-6*-4)**2.\nAnswer: -1571328*sqrt(3) + 16041532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*f*j**4 + 7*f*j**3 + 78*f*j wrt j.\nAnswer: 72*f*j**2 + 42*f*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q. Let o(b) = -3*b - 3620. What is o(n(y))?\nAnswer: -6*y - 3620","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 6079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -3*q**3\/7 + 3831*q**2\/7 + 7674*q\/7 = 0.\nAnswer: -2, 0, 1279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h + 9*h + 490 - 562 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 2:23 AM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 4*q - 109 = -131, 0 = -5*n + 4*q + 13 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*i + 20*i - 46*i = 117*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1298*-0.19465.\nAnswer: -0.02526557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 206\/14 - (-86)\/301 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1971362.5 rounded to the nearest ten thousand?\nAnswer: 1970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*s - 152*s - 664*s = 87324 for s.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41 - 1. Let b = n - 24. Suppose -w + 25 = j - 8, 4*w - 3*j - 118 = 0. What is the remainder when w is divided by b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 15, 23, -19 in ascending order.\nAnswer: -19, 4, 15, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 3. Let c = 15 - 12. Let k(s) = -c - 3 + s**2 + 6. Calculate k(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (110\/(5 - 3))\/(3020\/1208).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21\/(-30)*-672 + 24\/40?\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 4*a**2 + 6*a - 5. Determine d(4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/4)\/((-9)\/4). Let i = -0.2 - -0.3. Let p = i + 0. What is the closest to p in -3, 1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(1088) + sqrt(1088) + -2)*-4 + (sqrt(1088) + 0)*-6)**2.\nAnswer: -639936 + 5376*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**3 - 3*k**2 - 2*k - 1. Suppose -3*z - 2*u = -58 - 18, 0 = -4*z - u + 98. Calculate the remainder when r(4) is divided by z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6593428623 to the nearest integer?\nAnswer: 1875","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 3*z + z = -0*j - 25, 5*z + 5 = 0 for j.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34480, 34513, 34560, 34627, 34720, 34845, 35008, 35215?\nAnswer: 35472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 680 - 2721\/4. Put 5, s, 2, 3\/4 in descending order.\nAnswer: 5, 2, 3\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a day in minutes?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, m: 3, e: 3}. Give prob of picking 1 m and 1 r.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -531045 divided by -5.\nAnswer: 106209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46567 by 3097.\nAnswer: 46567\/3097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 558*v**2 + 11118*v**2 + 7440*v**2.\nAnswer: 19116*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/1070 and -3\/110.\nAnswer: 11770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10315 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of i**6\/720 - 5*i**4\/24 - 11*i**2. Let g(k) be the second derivative of v(k). Let d(l) = 43*l**2. Determine g(d(h)).\nAnswer: 43*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-1 - -2))\/((-2)\/4). Let p = 1 - 1. Let f = p + r. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9601 = 1392*r - 4319 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000008508919 to six decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -4*f + 2*f - 14, -5*f + 4*g = 18 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2789*m**3 + 478*m**3 + 480*m**3 - 3733*m**3.\nAnswer: 14*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 13230 divided by -735\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - -20 - -9) + -8\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0.1 (b) 20 (c) -1 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 8 and 17088054 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 610*f**3\/3 + 246626*f**2\/9 - 19072*f\/3 + 360 = 0. What is f?\nAnswer: -135, 6\/61, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4968122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 984656 divided by 17\nAnswer: 984656\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 5*n**2 - 2*n - 4. Let p be j(-4). Let v be 0 - 3\/p*2. Factor l - l**3 - 1\/2*l**4 + 0*l**2 + v.\nAnswer: -(l - 1)*(l + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/3 - -2 - (-15)\/5. Suppose l = -34*c + 35*c. Suppose -3*i + 3 = -3*u, i + 2 + 1 = -c*u. Solve -3*g = b + 6, -5*g - 6*b + b = i for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/52)\/(-1)*2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 315203621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -3560 to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1690, -2158, -2626, -3094, -3562, -4030?\nAnswer: -4498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - j - 12. Suppose 7*h = j*h - 15. Is -7 < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0\/1 + (22 - -717) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of t**7\/252 + t**6\/36 + t**5\/15 + t**4\/18 + 5*t + 8. Let g(p) be the first derivative of z(p). Suppose g(r) = 0. What is r?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 9 = 2*l, 4*l + y + 6 = 15. Suppose -a**4 + a**3 - 3*a**2 + 0*a**4 + a + l*a**3 = 0. What is a?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5224565 divided by -1044913?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 103, 219, 371, 577, 855, 1223, 1699, 2301?\n\"Answer: 3*u**3 + 95*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -254 + 638 = -32*a for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, p: 3, l: 3, a: 1, n: 1, m: 1}. What is prob of sequence ml?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 19 = -2*d - 2*m, 0 = -4*d - m + 22. Suppose -d*f - 1 = -6*f. Solve u + f - 3 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000674557 rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 8092?\nAnswer: 8092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 7*k**2 + 4*k + 9. Let m be p(-6). What is the greatest common divisor of m and 231?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 2*f**2 + 2*f + 2. Let w be q(-3). Suppose -5*i - 5*s - 5 = 0, w*i - 3*s = -5*s - 14. What is the biggest value in -0.5, i, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s + 4. Let h be c(0). Let k(n) = 3*n**2 - 4*n + 8. Let u be k(h). Suppose 7*p = 12*p - u. Calculate the greatest common divisor of 56 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-18)\/(-315))\/(-5*11\/(-1155)))\/(2\/115).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - 6*i**2 - 17*i + 6. Let u be j(8). Suppose -3*y + 38 = -1. Calculate the remainder when y is divided by (1\/4)\/(0 - u\/32).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((6*c - 3*c - 5*c)*(0*c + c - 3*c) - 2*c**2 - 18*c + 18*c)*(243 - 492*c - 494*c + 987*c) to s*c**3 + u + o*c**2 + g*c and give o.\nAnswer: 486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/45 and -29\/45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p**2. Suppose -2*o = 4*s + o + 9, 5*s - 6 = 2*o. Let h(c) be the second derivative of 0*c**3 + s - 1\/12*c**4 + 0*c**2 - 2*c. What is l(h(b))?\nAnswer: 4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 1, 5507, 149.\nAnswer: 2\/3, 1, 149, 5507","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of -v**4\/12 + v**3 + 6*v**2 - 14*v. Let n be i(7). Suppose 93 = n*r - 2*r. Solve -5*m - 6 = -r for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3*x**2 - 3 + (4*x - 2*x + 0*x)*(4 - 4 + x) + 2*x**2 + 2*x**2 + 0*x**2 + 3*x - 3*x + x**2)*(-2 + 2 + 2*x**2).\nAnswer: 8*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 2*x - 3*l = 5, -20 = 2*x + 4*l for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 2*w + 46, 0 = 4*n - w - w - 38. Calculate the remainder when n is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 27256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.67896 rounded to 1 dp?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1968449 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -464 + 462. Let f(p) = 2*p**3 - 2*p**2 - 2*p + 5. Let v(q) = q**2 + q - 1. Give h*v(l) - f(l).\nAnswer: -2*l**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6715 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12560, 12557, 12554, 12551, 12548?\nAnswer: 12545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 + -19.48. Let n = r + 5.48. Sort n, -2\/5, 0.4.\nAnswer: -2\/5, 0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vva when three letters picked without replacement from {a: 1, n: 1, j: 1, c: 1, v: 2, u: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*g**4 + 0*g**4 + 2*g**4 + 0*g**4 - g**4 - g**4 + (2*g**2 - g**2 + 0*g**2)*(-2*g**2 - g**2 + g**2) - 2*g - g**4 + 2*g - 144*g**4 - 55*g**4 + 67*g**4.\nAnswer: -152*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -7*v**2 + 5*v - 1. Let y = 60 - 63. Let b(g) = -g**2 - 1. Let l(h) = -h**2 + h. Let i(o) = b(o) + 3*l(o). Determine y*c(z) + 5*i(z).\nAnswer: z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and -4804.5.\nAnswer: -4803.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 209824796 to the power of 1\/4, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3529 = -5*y - 3*s, -2*s + 4*s + 711 = y. Let a(l) = l**3 + l**2 + l - 3907. Let i be a(0). Let u = i + y. What is u rounded to the nearest one hundred?\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -89, -179, -271, -365, -461?\n\"Answer: -j**2 - 87*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*n - n - 2*n + (-5*n - 12*n - 11*n)*(1 + 3 - 1).\nAnswer: -82*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34511*b**3 - 9*b**2 - 17255*b**3 - 17255*b**3.\nAnswer: b**3 - 9*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*k + 12*k - o + 0*o = -6*k + 22, -6*k + 4*o = -70 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.003*1.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 2825.64139 to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -280*g - 63. Let c(k) be the first derivative of -9*k**2\/2 - 2*k - 20. Let q(n) = -126*c(n) + 4*f(n). Let d(r) = -5*r. Give q(d(p)).\nAnswer: -70*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5447453 is divided by 1052.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/120)\/(700\/109200).\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 14*r + 2. Let m be n(-11). Suppose h + m = -75. Let y = -37 - h. What are the prime factors of y?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.9 + -11.9. Is 0 greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-186945)\/(-120) + (-3)\/(-24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express m**2 - 235*m**3 - 74*m**3 - 3*m**2 - 693*m**3 in the form i*m**3 + t*m**2 + p + j*m and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 j when two letters picked without replacement from {j: 4, q: 1, i: 5}?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-1590)\/100)\/(31518\/(-85)) and -87\/8.\nAnswer: 2472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 6*v + 0*v + 3 + v + 2*v**2. Let y(s) = -6*s**2 - 22*s - 10. Let a(h) = -17*h + 1. Let l be a(1). Determine l*r(n) - 5*y(n).\nAnswer: -2*n**2 - 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/171 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -3*a - 0*w + 26, -5*a - w = -34. Suppose 2*z = a*z + 105. Let o(c) = -145*c - 8. Is o(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.067 - -0.433. Let o = 69 - 41. Let w = o - 23. Which is the third smallest value? (a) 3 (b) w (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -24769*g + 10900. Let b(d) = 8254*d - 3629. Let r(x) = 7*b(x) + 2*n(x). What is the first derivative of r(a) wrt a?\nAnswer: 8240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(-14) - 0\/(-4). Suppose -8*x = -5*x. Let o(u) = u**3 + u**2 - u. Let y be o(x). Which is the smallest value? (a) 0.4 (b) m (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 45\/6*2\/3. Suppose -4*g = -b - 7. Find the second derivative of -4*f - f**3 + 4*f**g + 7*f wrt f.\nAnswer: 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 315?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15681 - -20966. What is the remainder when k is divided by 50?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3*q**4 + 11*q**3 - 9*q**2 + 3*q + 2. Let v(x) = 30*x**4 - 111*x**3 + 90*x**2 - 30*x - 21. Let m(k) = 21*p(k) + 2*v(k). Factor m(j).\nAnswer: -3*j*(j - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10 + 4028411?\nAnswer: 4028401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 495 divided by 19070?\nAnswer: 99\/3814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*h - 0. Suppose 5 = -3*d - 10, 0 = -4*b - 5*d - h. Suppose -b*g = 9 - 69. What is the remainder when g is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -101\/530 - 1\/106. Let i = -2\/45 - 13\/45. Put -2\/21, i, w in descending order.\nAnswer: -2\/21, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(20)\/(sqrt(8)\/sqrt(4)))\/(sqrt(10)\/sqrt(2)*-4 + sqrt(10)\/(sqrt(8)\/sqrt(4))).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 568\/1575 + 37\/450. Let p = -13263\/35 + 379. Let b = s + p. What is the second biggest value in -2\/7, 4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216299301.\nAnswer: 3, 72099767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 5*o = -27, -3*d + 3 = o - 4*o. Sort d, 2, -1, -5.\nAnswer: -5, -1, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -3. Let g be -3 + 6 - (2 - 1). Suppose -p + 9 = 5*q, -g*q + 2 + 0 = 0. Calculate the smallest common multiple of i and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 39*y**2 - 17*y + 20. What are the prime factors of k(37)?\nAnswer: 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -5*l - 37, -5*l + 2*z = 6*z + 13 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 8:42 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1554 = 49*o + 484 + 727. What is the remainder when (6 - 2)\/(-2) + 330 is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 4698314*z + 12 = 4698309*z, 3*f - 40 = 4*z for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 519c (base 16) in base 12?\nAnswer: 10110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -357, -356, -355, -354, -353?\nAnswer: -352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 48 = 4*m + 2*q, 5*m - 3*q = 67. Suppose 3*s - 44 = -s. Calculate the least common multiple of m and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*a**2 - 115*a**2 + 23*a**2 - 9*a**2 - 57*a**2 - 4*a**2.\nAnswer: -129*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5638502 and 3406?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 590838?\nAnswer: 2, 3, 98473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1946200 by -526.\nAnswer: 3700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 407079 (base 10) to base 3.\nAnswer: 202200102000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of 0*c + 0 + 6*c**2 - 1\/33*c**4 + 1\/33*c**3 + 2\/165*c**5. Factor r(v).\nAnswer: 2*(2*v - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*g**6 - 7*g**5 + 1504*g**2 wrt g.\nAnswer: -960*g**3 - 420*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71911 = -10*l + 197719. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l + 76 - 27 - 26 - 150*l**3 - 27.\nAnswer: -150*l**3 - l - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 1*(-3 + 1). Let a(v) = v**2 + 45*v + 166. Let l be a(-41). Sort l, 0, b.\nAnswer: b, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 5718*j + 1251. List the prime factors of h(5).\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/24 and -169\/60.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -86? (a) -0.1 (b) -4\/3 (c) -0.02 (d) -1\/5 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*k - 2*k + k)*(154*k**3 - 346*k**3 + 159*k**3 + (-k + 2*k - 3*k)*(2*k + k**2 - 2*k) - 3*k**3 + 0*k**3 + 4*k**3)*(-3 + 3 - k).\nAnswer: 306*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 45*b + 203 = -50*b, 3*v + 2*b = -182. Let l(m) = -704*m + 56. Let g(d) = 37*d - 3. Determine v*g(o) - 3*l(o).\nAnswer: 40*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2542365 (base 8) to base 11.\nAnswer: -44229a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three eighths of a millennium?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of 17*h**4\/24 + 11*h**3\/6 + 15*h**2\/2 - 20. Let c(i) be the second derivative of w(i). Differentiate c(n) wrt n.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-11 - (27 - 33 - (-9 - -8 - 103))).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 8*y**2 - 10*y - 15. Suppose -28*d + 5*q = -30*d - 3, 24 = -d + 5*q. Calculate m(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-136)\/(-102)*9*(-1)\/(-8)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100.3 + 0.3.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - y - y**3)*(-583 - 658 + 115).\nAnswer: 1126*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i + 6*i - 7*i)*(-2 + 4 + 0)*(-8 + 2*i + 8).\nAnswer: -20*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53876, -53868, -53846, -53804, -53736?\nAnswer: -53636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -211*s + 211*s + s**2 - 480357 + 480330.\nAnswer: s**2 - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-71418)\/(-42894) - 2) + -3*(-5)\/45. Is u smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y + 11. Let f be z(8). Let j = 13 + -9. Suppose -2*k + 0*v + v + j = 0, -4*v - 16 = 0. Solve -f*a + 2*h - 13 = 0, h - 3 = -2*a - k*h for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 241761141?\nAnswer: 3, 26862349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 89288267938202 and -0.05?\nAnswer: 89288267938202.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 (base 15) in base 5?\nAnswer: -343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - 190*m**2 + 745*m - 124. What is k(186)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 10:06 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*m - 157*m + 13 = -p, 4*p + 4 = -2*m for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5856258 less than 5856257?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1664, -5820, -12756, -22478, -34992?\n\"Answer: -n**3 - 1384*n**2 + 3*n - 282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 129 + -1009?\nAnswer: -aa0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -1\/3, 5 in descending order.\nAnswer: 5, -2\/13, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 61 + -24. What are the prime factors of m?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeee when four letters picked without replacement from {e: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 129184082*t**2 - t - 61918791.\nAnswer: 258368164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -5. Let o be (1 - 1)\/(21 - 19). Suppose 0 = j - 4*j - 2*c + 11, -5*j - 2*c + 17 = o. Solve -3*k = 4*d - 11, j*k - w = -3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 10) to base 14\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (15\/(-6) - -1)*-3104. Let s = y - 83783\/18. Find the common denominator of -17\/10 and s.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 12 = -11. Which is smaller: 2\/361 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 41 and 684.\nAnswer: 28044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/3*(-27)\/(-6). Suppose -3*i + 22 = 5*x, -16 = -2*i - r*x - x. Suppose -q - q = -i. Solve q*w - 6*w = -8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (79\/(15405\/40))\/((1\/(18\/4))\/(-2)).\nAnswer: -24\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1220 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -6. Let v be (162\/(-24))\/(1\/(-8)). Let n be 45\/v - (-2)\/12. Put g, n, 4 in ascending order.\nAnswer: g, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 11:51 AM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58689?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 2*x**2 - x - 2. Let n(t) = 4*t**3 - 7*t**2 - 3*t - 7. Let s(h) = -h**2 + 5*h - 4. Let y be s(3). What is y*n(l) - 7*i(l)?\nAnswer: l**3 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -1. Let f(n) = -n**2 + 3. Let k(q) = 3*b(q) + f(q). Suppose 3*h + 5*d - 150 = 789, -d = -3*h + 921. Let m(s) = 2*s**2 - 308 + h. Give k(m(i)).\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u + 6 - 59*u - 25*u - 2*u.\nAnswer: -86*u + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 197616 and 192.\nAnswer: 790464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 0*v + 4*u + 22 = 0, -5*v + 1 = 3*u for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 2*s + 6, -6 + 3 = 3*h + s. Suppose h = -2*j - 0*j. Suppose -2*r + 138 = -j*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of u**5\/60 + u**4\/12 - u**3\/3 + u**2\/2 - 4. Let m(i) be the second derivative of s(i). Let q be m(2). Solve q = 2*n + 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 21 - 2 = -5*s, 4*s + 8 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 5*d**2. Let j(y) be the third derivative of 0*y + 0*y**4 + 0*y**3 + 0 - 6*y**2 - 1\/60*y**5. What is j(l(u))?\nAnswer: -25*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 390.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 272.12 + -274. Let i = 1.78 + u. Which is the fourth biggest value? (a) -5 (b) 5 (c) i (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*(12 + -6)\/(-6). Factor 0 + 0*q - 1\/4*q**5 - 1\/4*q**3 - 1\/2*q**4 + o*q**2.\nAnswer: -q**3*(q + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3437145 divided by 3\nAnswer: 1145715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-21)\/(-12)*2*2. Let p(b) = -3*b**2 + 4*b + 2. Let v(z) = 10*z**2 - 12*z - 7. Let t(q) = l*p(q) + 2*v(q). What is the second derivative of t(u) wrt u?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/5*3\/(42\/35)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + 0)*(-2)\/(-4). Let s(t) = -53*t + 114. Let o be s(2). Suppose 0 = -2*n - 12 + 6. Sort n, o, c, -2.\nAnswer: n, -2, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23214 divided by -7738?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4\/6*(-2)\/((28\/6)\/(-2))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 2*s**3)*(5*s - 4*s - 2*s + (0 + 5 - 2)*(-2*s + 0*s + s)) to the form n*s**4 + u*s**3 + i*s + p*s**2 + k and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1440 and 4198?\nAnswer: 3022560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2964 - 2961. Put 87, 1, p in decreasing order.\nAnswer: 87, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffrr when four letters picked without replacement from {w: 4, f: 13, r: 3}?\nAnswer: 13\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -2. Let l(u) = u**2 - 7*u + 2. Let b be l(7). Suppose -q + 3 = -1, -b*q = -5*a + 117. Calculate the greatest common divisor of a and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9731515 to the power of 1\/3, to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 927 + -327. Suppose 4*j + t = -j. Let p = j - -200. Round p to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11285622059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*j**2 - 20*j + 20*j to the form w + d*j + v*j**2 and give v.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1196, -3, 0.048, 2 in increasing order.\nAnswer: -1196, -3, 0.048, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 3:29 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12855 is divided by 4265?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 3*g + 4. Let n(d) = 0*d**2 - 4*d**2 + 5*d**2 + 4 + 7*d. Let j be n(g). Do j and -9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 117604?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of -v**6\/90 - 7*v**5\/20 - 10*v**4\/3 - 50*v**3\/9 - 483*v. Factor l(m).\nAnswer: -m*(m + 1)*(m + 10)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10390?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 475, 474, 473, 472, 471?\nAnswer: 470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*w - 1617 = 25*w - 116*w for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1171*s = -1167*s - 968. What is the remainder when 497 is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**19*m*m\/(m**(-45)*m*m) assuming m is positive.\nAnswer: m**64","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 178 + -56 + -65 - -4.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from loooolleloooa. What is prob of sequence oloe?\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19426963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c691 (base 13) to base 15.\nAnswer: -11922","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -80 - -82. Solve -3 + 1 = -a*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1479 * 327\nAnswer: 483633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i + 11*i + 21*i + (0 - 6 + 5)*(4*i - 2*i - i).\nAnswer: 28*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - (-10648)\/(-660))*-215 - 30?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 7*l**2 - 5*l - 5. Let v be i(3). Let a = v - 39. Solve -5*f - 5*p = -2*f - 3, a*p - 32 = 5*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(5\/6)\/r)\/r**(-12)*(r*r\/(r**15\/r))\/(r*r\/r**(3\/13)) assuming r is positive.\nAnswer: r**(-151\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {j: 10, r: 9}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 4:40 AM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*k + 4*k - 4*k + (1 - 2 - 1)*(-4*k - k + 7*k) - 2 + 2 - k)*((-2 + 6 - 3)*(1 + 2*k - 1) + 7*k - 8*k + 9*k).\nAnswer: -140*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 2*l - 4 + (-l + l + 2*l)*(4 - 2 - 3) + 0*l + 2*l - l + (-4 + 2 + 0)*(2*l - 3 + 3) - 105 - 41*l + 105.\nAnswer: -48*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -5*k - 22. Let s be g(-8). Let r be (-2 - 40\/(-15))\/(4\/s). Solve 0 = 3*u + o - 11, -2*u - r*u + 5*o + 5 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1342510\/92 + 3 + -19 - 10\/(-4).\nAnswer: 61, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-6) + (-286)\/(-66). Suppose -g*d + 3*n = 7*n - 1370, 0 = -2*d + 2*n + 530. Calculate the remainder when d is divided by 28.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31246*k**3 + 31242*k**3 + 48 - 48.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(931) - (0 + sqrt(931)))*3 - ((4*sqrt(171)*-2 + sqrt(171))\/sqrt(9) + -4))*6.\nAnswer: 42 + 42*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 68106 = -3*g, -17*t + 113490 = -12*t + g. What is the hundreds digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 634835291?\nAnswer: 634835291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 18*d**2 + 7*d + 6. Determine u(-19).\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*u + 6 + 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1728 and 1728.\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26917475, -53834923, -80752371, -107669819, -134587267?\nAnswer: -161504715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 4*o. Let b be 3*((-2 - o) + 3). Suppose -b*p + 4*p = 4*g - 32, 5*g = -2*p + 27. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from anaeneanaauna. What is prob of picking 1 a and 1 n?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**8)**22*(y*y*(y*y**6*y)\/y*y)**23)**(-24) assuming y is positive.\nAnswer: y**(-9744)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 21 + 12 + 1 - 56*f to l + u*f and give u.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1313988924.2+0.211\nAnswer: 1313988924.411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1178)\/1302*(-84)\/8.\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 35020379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((22\/55)\/(1\/(-5)))\/((-418)\/(-14839)).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r. Let u be h(3). Suppose 518*w = 525*w + 21. Sort u, 4, w, -8 in decreasing order.\nAnswer: 4, u, w, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3033 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 78 (b) -10\/91 (c) 8 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t**2 + 3*t - 3*t)*(19 + 23 - 41 - 120*t) to f*t + r + v*t**3 + k*t**2 and give v.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, t: 8}. What is prob of picking 1 v and 2 t?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3011 + -223?\nAnswer: 2344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2157561, -2157575, -2157589?\nAnswer: -2157603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39824 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -2 (b) 0 (c) 9\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {p: 2, g: 9}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*x + 2*x - 5*x)*(-3*x**2 - 3*x + 3*x) + 2 + 2*x**3 - 2)*(-102*x + 109*x + 3 - 110*x).\nAnswer: -1133*x**4 + 33*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -89\/176 + 1\/176. Let v(g) = g + 11. Let o be v(-6). Which is the smallest value? (a) -2 (b) o (c) 5\/3 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 45, 160, 385, 756?\nAnswer: 1309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7776\/(-104976) + (-2)\/8 + (-3415)\/(-540).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 7*v**2 - v. Let b(o) = 80*o**2 - 2*o - 20. Give b(w) - 3*d(w).\nAnswer: 59*w**2 + w - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 h when two letters picked without replacement from lfylyh.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50975449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h + 6*h + 5*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18192 - 8127. Suppose 2002 = -y + 4*h + 12099, y = -4*h + t. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + -20 - -54 - 19?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 7 = -23. Let u = z - -8. Solve u = -l + 1 - 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 10:46 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7121556 divided by 547812?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 5*v**2 - 11*v + 5. Let y be k(5). Let c be 10*(6 + 1\/(-1)). What is the highest common factor of y and c?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15*d**2*z - 18244696*d**2 + d*z + 25*z wrt z?\nAnswer: 15*d**2 + d + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.359589296+-13815\nAnswer: -13815.359589296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -507.07 + 507. Which is the fourth biggest value? (a) 2 (b) 2\/9 (c) p (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -304*y + 86*y**2 + 320 + 28*y**4 + 100*y**3 - 3*y**2 - 98*y**2 - 129*y**2 = 0.\nAnswer: -4, -2, 1, 10\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1421 is divided by 1299?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (14\/(-5))\/((-5)\/25). Suppose -o - 1 = -5*t. Suppose 3*b - 21 = -3*w + 5*w, 27 = t*b - 4*w. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -51 - 1. Suppose 0 = 4*x - y - 63, -4*y + y - c = -x. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1652787 and 15209.\nAnswer: 110736729","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 13*i**2 + 22*i - 120. Let a be w(12). Factor a*o + 0 + 1\/5*o**5 + 6\/5*o**4 + 4\/5*o**2 + 9\/5*o**3.\nAnswer: o**2*(o + 1)**2*(o + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 973.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -143.2 + 134. Let c = -9 - n. What is the closest to 2 in -4, c, -2\/9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 22709.13 decades?\nAnswer: 2725095.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) + 1 - 2*(-1 + sqrt(3)))**2 + -1.\nAnswer: 6*sqrt(3) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 - (9 - (-8 + 4)) - 36?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1752.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.3662 - -5.3. What is f rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/289306 and 48\/2159.\nAnswer: 289306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-31)\/((-13020)\/20))\/(4\/264)\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13868 + 69302\/5. Find the common denominator of a and 36\/2369.\nAnswer: 11845","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 5*x + 32 + 88 = 0, -3*x = 4*p - 96. Calculate the greatest common factor of p and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 415074 and 89701.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + (3 + 2 - -13). Suppose 4*m + z = m + 277, -4*z = -l. What is m rounded to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 28, 89, 178, 295, 440, 613, 814?\n\"Answer: 14*n**2 + 19*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -914653, -1829311, -2743973, -3658639, -4573309, -5487983?\n\"Answer: -2*t**2 - 914652*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 18 = -5*x, 3*v - 2*x = 19 - 5. Suppose 10 = 2*t - a + 6, -a + 8 = v*t. Solve -t*n = 2*b - 12, -2*b = n - 3*n + 8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-67)\/(-6) + -4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 3:16 PM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**3 + 4*c - c**4 + 2*c + 2*c**2 + 2*c**4 + 0*c + 2 to n*c**4 + w*c**3 + y + u*c + p*c**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1944*v - 1968*v + 168 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122621 is divided by 335?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (11 - 18) + -9?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -812*i + 788*i + 153 - 33. Let v be (-4 + -4)\/((-2)\/40). Calculate the greatest common divisor of v and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-125)\/(-2))\/(5\/(-60)*-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*g + g = -39, 4*k - 149 = 3*g. Suppose -35*v - 660 = -k*v. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus -2242558269034?\nAnswer: -2242558269034.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.16*-1\nAnswer: -0.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 d when two letters picked without replacement from rprrdddrdpd?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 175313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -20, -51, -94, -149, -216, -295?\nAnswer: -386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 + d - 1. Let n(x) = -10*x**2 - 5*x - 10. Let h(b) = -n(b) + 5*v(b). Factor h(z).\nAnswer: 5*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 + 3*l**2)*(3*l + 0*l - 2 + 2*l).\nAnswer: 15*l**3 - 6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1519 + -1539. Sort -0.1, 3, q, 2\/9.\nAnswer: q, -0.1, 2\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18873?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (46 - (-9)\/(-3)) + 5 + -3.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55844 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 + 2.1. Let w = 115\/56 + -13\/8. Let v be 1 + 2*(-5)\/8. Which is the closest to v? (a) k (b) w (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 + 5\/2)*1474. Let v = 738 + j. Are -2\/597 and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20633980 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78 and 2027649?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -5, 0, 3, -776.\nAnswer: -776, -5, -1, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 66844715?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 464145686.5 + -100\nAnswer: 464145586.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*u**2 + 1709400*u - 30770496 = 0. What is u?\nAnswer: -427368, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*a - a - a)*(-3*a**2 - 2*a + 2*a) + (51 - 51 + 40*a**2)*(a - a + 2*a) to f*a**2 + t + l*a + b*a**3 and give b.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -5.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -212, -512, -958, -1556?\nAnswer: -2312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -46*x**3 - 7*x**2 - 6*x. Does 2 divide o(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 + 3*d**2 + 3*d**2)*(-1 - 4 + 1) + (-d - d + 0*d)*(-d - d - 3*d).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4798, 1.7928, -0.2 in decreasing order.\nAnswer: 4798, 1.7928, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -73*c - 23. Let b(k) = 157*k + 48. Determine -3*b(g) - 7*o(g).\nAnswer: 40*g + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1028 - 186?\nAnswer: 842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1 + (0 + (sqrt(704) - (5 + sqrt(704)*-1))*6)*-1)**2.\nAnswer: -4992*sqrt(11) + 102052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - -11. Suppose -z = -4, -4*z - 6 = -3*g + h. Solve 4*n + 5*s - 19 = 1, 3*n + 3*s = g for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 329048 and 1316192.\nAnswer: 1316192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*y + 12*y = -3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7872, -7868, -7862, -7854?\nAnswer: -7844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -4 - (7 - 0) - 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 420355 + 44?\nAnswer: 420443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 11:57 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8248 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*t**2 - 11*t**2 + 53*t + 43*t + 55*t - 149*t + 259.\nAnswer: -23*t**2 + 2*t + 259","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*x - 58805 = -2375. Is x a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -156*c + 4251. Calculate the remainder when 1084 is divided by f(27).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -5*f. Let o(n) = -8719*n + 1875. What is b(o(p))?\nAnswer: 43595*p - 9375","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -139310964 divided by -19.\nAnswer: 7332156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7534, -15080, -22628, -30178?\nAnswer: -37730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2 - ((-18)\/(-30) + 188\/(-5)) is divided by 28.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*p - p**2 + 22*p + 133*p + 0*p**2 - p**2.\nAnswer: -2*p**2 + 106*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(5\/7))**29 assuming n is positive.\nAnswer: n**(145\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 102 = 2*l, 2*w - 4*w + 4*l = -36. Put w, 5, -4, -1 in increasing order.\nAnswer: -4, -1, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-324)*-318 - (-12)\/(-2). Which is the fourth biggest value? (a) 3 (b) o (c) 5 (d) -131\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -28.7 and -3948462335.\nAnswer: -3948462363.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53 - -74. Suppose d + 3*n = 13, 7 + w = 4*d + 4*n. Let s be (2 + 0)*d\/28. Which is the second biggest value? (a) s (b) 1\/4 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -419 - -4185. Which is greater: 3767 or h?\nAnswer: 3767","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of 1\/3*o**3 + 9*o + 1\/12*o**4 - 10 + 1\/2*o**2. Let h(d) be the first derivative of w(d). Calculate h(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -5*w**3 - 2*w**2 - 8*w - 7. Let y be u(-1). Solve y*g + 18 = 152*p - 154*p, 2*g - 3*p = -5 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 198 by -1.\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 - -26. Suppose -5*s - 4*v + 1095 = -160, -4*s + 1004 = p*v. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u**2 - 2*u**2 + 3*u**2)*(0*u - 26*u - 3*u - u**2) to x*u**4 + c*u**3 + k*u**2 + f + d*u and give c.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 83184983 to the nearest integer?\nAnswer: 9121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3*r + 12. Let m be t(12). What is the common denominator of 1\/4 - (-358)\/(-8) and (-114)\/m*(-7 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-56)\/6 + (-4)\/6. Let c = 6 + r. Sort c, -3, 2 in ascending order.\nAnswer: c, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 35, 30, 1 in descending order.\nAnswer: 35, 30, 1, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5945964*c**2 + 86717962.\nAnswer: 11891928*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of d**4\/4 - d**3\/6 + d**2\/2 - d. Give f(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9\/135)\/(2\/(-3)*(-1)\/(-2)). Which is the third smallest value? (a) -2\/5 (b) 14 (c) y (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (112\/(-70))\/((-2)\/50)*(-545)\/(-436)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**2\/3 - 7090*l - 42532\/3 = 0. Calculate l.\nAnswer: -10633, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/49)\/(((-1)\/1)\/((-121)\/8349))?\nAnswer: 2\/161","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2700\/30)\/10 - (-46 + 101).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = 5*u - 35, 3*u + 3*o + 9 = -0*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2048595456?\nAnswer: 2, 3, 1333721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) -5.3 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3*c - 5. Let g(y) = 7*y + 10. Let f(p) = -4*g(p) - 9*n(p). Let b = 3 + 1. Let d be f(b). Which is bigger: d or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 6*m**2 - 3*m. Let d(r) be the third derivative of r**5\/12 - r**4\/12 + 8*r**2. Determine 3*d(n) - 2*j(n).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.842 + -0.158. What is the nearest to y in -2, -2\/11, -0.3, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, -4, 0.5 in descending order.\nAnswer: 0.5, -4, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33 + 31. What is the smallest common multiple of 16 and 1\/p*(-413 + -23)?\nAnswer: 1744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3090361.112 to the nearest one hundred.\nAnswer: -3090400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0*a + 45 = 0. Let z = -27 - a. Does 18 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -1\/5*z**5 + 0*z**3 + 0 + 0*z**2 + 2\/3*z**4 + 1\/60*z**6 - 86*z. Solve h(o) = 0 for o.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 4315*g**2. Let t(h) = -9*h**2. Calculate p(t(x)).\nAnswer: 349515*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 1:53 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13508 and 55194916?\nAnswer: 1228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 6, 14.07, 9, -0.04.\nAnswer: -0.04, 1, 2, 6, 9, 14.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 10 + -40 + (2 + 6 - (4 + 1)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 314820 and 1296?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 28 = 4*p, -r - 5*p + 15 = -0. Solve 5*d = r - 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**0\/(d*d**0*d))\/(d**1*d)**(-44))**(9\/8) assuming d is positive.\nAnswer: d**(387\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6142304*t**3 + 2*t**2 - 1385*t - 184 wrt t?\nAnswer: 36853824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 4:12 AM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2 = 5*r + 3, 0 = 2*r - 2. Let s(a) = 25*a**2 + 5. Let j(b) = -12*b**2 - 2. Let w(d) = o*s(d) + 5*j(d). Let m(c) = c**2. Calculate m(w(g)).\nAnswer: 100*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-6) + 70370\/20. What is l rounded to the nearest one hundred?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -48481467 > -48481466?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5892861 is divided by 13833.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 + 150*t - 43*t - 162 + 63 - 37*t - 46*t.\nAnswer: 3*(t - 3)*(t + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 38*d - 5. Let m(b) = 11*b - 4. Let n(w) = -27*w + 9. Let k(z) = 13*m(z) + 6*n(z). Give -5*k(j) - 2*s(j).\nAnswer: 19*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -11302.98 and -105219.\nAnswer: -116521.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*r + 231 = 126*r. Suppose -h + 0*h = 2*v - r, 32 = 3*v + h. Put 8, 1, v in ascending order.\nAnswer: 1, 8, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2469544939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 183392?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16350 + 25871. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5b07b4 (base 13) to base 10\nAnswer: -2171966","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 - 44. Let m(t) = -5*t + 16. Let o be m(c). Suppose -22 = -r + o. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 times 0.654367\nAnswer: -10.469872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -8*n**2 + n + 34 + n**3 + 8*n**2. What is the units digit of q(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a6 - -13?\nAnswer: -193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 78171 a multiple of 213?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m + 23 - 6*m + 8*m. Suppose 0*s + 70 = 5*z + s, 5*s - 56 = -4*z. Let k be r(z). Solve 2*b + k = 3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 947723 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -5*x + 15, 45*x + 1 = 46*x for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 142484 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: How many kilometers are there in 6.553534mm?\nAnswer: 0.000006553534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-50)\/(-15) + 4\/6. Suppose -2*b + b = s*h - 226, h = 5. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/(-3) - 8*((-619)\/12 - -11)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*w, -2*w = 2*t - 5*t + 10. Let y(o) = -o**2 - 6*o - 2. Let s be y(t). What is the smallest value in -1.7, s, 5\/6?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -31*n**3 + 3*n + 2. Let h be k(-1). Calculate the highest common factor of h and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1416773 to the nearest integer?\nAnswer: 1190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1812 is divided by 172?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*u + 527 + 103*u**3 - 162*u**3 - 526 - u**2 as d*u**2 + z*u**3 + b + k*u and give z.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 379149234 or 379149232?\nAnswer: 379149234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -182054191*x**2 + 12*x - 45442311?\nAnswer: -364108382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -65*s**2 + 30*s.\nAnswer: -5*s*(13*s - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1306 is divided by 163.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5894, 23600, 53110, 94424, 147542, 212464, 289190?\n\"Answer: 5902*m**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vblbbvlvlbllb. What is prob of sequence bvv?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 236118595\/21 - 11241307. Let u = f - 2435. Find the common denominator of u and (-2)\/8*362\/(-15).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 540803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 + -12 - (2 - 4)) + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in 7\/3, -314, 0.2, -14.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of 384000*w**3 - w**2\/2 + 5*w - 2. Let s be j(5). Suppose 2*o = -2*o - s. Round o to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 0)*(1 + 2 - 2)*(-94 + 58 - 62)*(4*r + r - 3*r) to the form w*r + s and give w.\nAnswer: 392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -206 - -184. Which is greater: k or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 7*o + 3. Let v = 62 + -61. Let k(m) = -15*m - 7 - v + 3. Let q(n) = -3*k(n) - 5*u(n). Let d(s) = 5*s**2. Determine q(d(w)).\nAnswer: 50*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 8*m + 2 = 7*m, -b + 1 = -4*m for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -440 + 646. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 16*d**2 - 5*d - 1. Let x(n) = 8*n**2 - 2*n. Let y(m) = 2*r(m) - 5*x(m). Differentiate y(w) wrt w.\nAnswer: -16*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.520953 minutes in days?\nAnswer: 0.02119510625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*j = 674, 932 = 4*g - 106*j + 102*j. Solve -8*p - 204 = -g for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31559, -31530, -31481, -31412, -31323?\nAnswer: -31214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**3\/4 + 6909*f**2\/2 + 1134045*f + 96686406 = 0. Calculate f.\nAnswer: -4258, -174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -236*a**3 + 33*a**2 - 36*a**2 + 266*a**3 + (a**2 + 1 - 1)*(2*a + 0*a - 3*a).\nAnswer: 29*a**3 - 3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (16\/18)\/4 + (-872)\/(-5040). Let b = 1\/210 + f. What is the nearest to -1\/29 in b, 2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 191687 by -5.\nAnswer: -191687\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w - 21. Let f be v(-13). Suppose 3*g + a = 2*g + 115, -591 = -f*g - a. Is 17 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3707651*r**2*t**3 - 3*r**2*t + 10701909*r**2 wrt t?\nAnswer: -11122953*r**2*t**2 - 3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence siis when four letters picked without replacement from iqiss?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.27 times -0.06\nAnswer: -0.0162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*o + 4 = 5*g, -16 = -5*g + 2*o. Suppose k - 8 = 3*c - 8*c, -2*k + 4 = 4*c. Solve 11 = -g*q + 3*t, q + c*q = -t for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13 * 4.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2*k**4 + 340*k**3 + 15048*k**2 - 156816*k - 16099776 = 0.\nAnswer: -66, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13240008 and 51714.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 8*x - 3. Let f be p(7). Suppose -4*r = -3*l - 376, -3*r - 2*l + f - 2 = 0. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -56, -22\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/3))**(-1)*k**(-7)\/(k**(2\/39)*k) assuming k is positive.\nAnswer: k**(-340\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 13 + -7 - 9 - -25\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 0, -4, 62 in decreasing order.\nAnswer: 62, 4, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -30*(9 - (-56)\/(-6))\/((-1)\/(-310510)). What is t rounded to the nearest ten thousand?\nAnswer: 3110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-354)\/(-3186))\/(2\/(-20))\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ako when three letters picked without replacement from ookkavlc?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0 = 24. Let j = 46 - x. Let t = 125 - j. Calculate the remainder when t is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100112 (base 6) in base 10?\nAnswer: 7820","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l - 13*l + 11*l**3 + 8*l + 14*l**3.\nAnswer: 25*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3022 is divided by 2958?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31756?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 32777 = -80*i + 83*i, -4*i = -4*n - 43736. List the prime factors of i.\nAnswer: 3, 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116881 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 163944804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1123554*c**5 - 4850343*c.\nAnswer: 22471080*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 2\/4)*(-4)\/(-2). Suppose v = -g + 6. Solve 15 - g = 2*y + n, 4*y = 3*n + 14 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1231 - 2997 + 896 - 2*l**3 + 870.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004525 to 6 dps.\nAnswer: 0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*v**2 + 4*v**3 - 358 - 61*v**2 + v + 34*v**2 to c*v**3 + w*v + a*v**2 + m and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1661 is divided by 817?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - 9\/2*(-2)\/3. Let g(p) = 3*p - 13. Give g(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.46 + -291.86. Round z to the nearest 10.\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*o - 14 = -115*o. Let w(f) = -f**3 - 4*f**2 - 2*f + 1. Determine w(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 419 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, -0.36239 in decreasing order.\nAnswer: 5, -0.36239, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.8 - 5. Let p = 1.8 - u. Which is the smallest value? (a) p (b) 6 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 divided by -6?\nAnswer: -32\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of -w**7\/1008 + w**6\/180 + w**5\/60 - 2*w**2. Let r(n) be the third derivative of v(n). Is 12 a factor of r(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u + 1. Let s = -18 - -20. Determine k(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.528 + 7.08.\nAnswer: 6.552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 67 - 65. Suppose k + 2 = a*k. Differentiate 19 + 65*h**k - 23*h**3 - 36*h**2 - 29*h**2 with respect to h.\nAnswer: -69*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 545203 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of 2*b**2 - 19. Let o = 0 - -2. Let s(a) = a + a**o - a. Give s(f(t)).\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-756)\/15)\/4 - 12\/30. Let b(z) = -z**2 - 17*z - 11. Let m be b(g). Does m = 40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xbvebvv. What is prob of picking 1 e and 1 v?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 11:04 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*n**2*r + 5*n**2 - 10*n*r**4 + 66*n with respect to r.\nAnswer: 6*n**2 - 40*n*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -300.572 rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-78)\/20 - -3\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(45) + 6*sqrt(180)\/sqrt(4) + (sqrt(45) - (-2*sqrt(2205) + sqrt(2205))))\/(1*sqrt(144)*6)*3)**2.\nAnswer: 10125\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 226125.\nAnswer: 904500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 3*z**2 + 12*z + 5. Suppose 4*s - 5*s + y = 8, 2*y = -2*s - 4. Let h be v(s). Is -7 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6920*n**3 - 9338109 + 9338109 + (4*n - 2*n - 3*n)*(0 + 0 + n**2).\nAnswer: -6921*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/11 - 6*z**2\/11 - 36*z\/11.\nAnswer: 2*z*(z - 6)*(z + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11493649?\nAnswer: 17, 67, 10091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -214441204 <= -214441204?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15161 (base 8) to base 13.\nAnswer: 3109","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 16*d**4 - 16*d**2 - 28*d - 8. Let l(r) = r**4 + r**3 + r**2. Let s(y) = b(y) - 20*l(y). Factor s(c).\nAnswer: -4*(c + 1)**3*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/27)\/((-4)\/(-3))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**2 + 48 - 31 - 9*k - 3*k**2. Let l be y(-10). Determine j so that l*j - 4*j - 7*j**2 + 12 + 10*j**2 + 9*j = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101001 - 100010000?\nAnswer: -110111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 10, 4*r + 0*d - 1020 = -4*d. Let q = -757\/3 + r. Factor 2\/3*c**2 - 2\/3*c**3 + 0*c + 0 + q*c**5 - 2\/3*c**4.\nAnswer: 2*c**2*(c - 1)**2*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -3*x + 3*l - 7*l, l + 18 = -5*x. Let i = x - -15. Let f be i\/9*18\/8. Solve b - f*b = -4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 54*n + 0.\nAnswer: 54*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -278, 0 in decreasing order.\nAnswer: 0, -2, -278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37112 + 67324 = 28*a. Calculate the lowest common multiple of 624 and a.\nAnswer: 51792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 12:25 AM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 51.8806 + -51.9. What is l rounded to three decimal places?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/681 and -137\/138.\nAnswer: 31326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -3*x - x. Let h = -7 - x. Find the third derivative of 6*l**4 + 0*l**2 - h*l**4 + l**2 wrt l.\nAnswer: 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**3 + 3*m**3 - 5*m**3 + (-m - 2*m + m)*(0*m + 0*m - 3*m**2) + m**3 + 3*m**3 - 2*m**3 + (-2 - 1 + 1)*(-m**2 + m**2 + m**3).\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -3\/5*y**5 + 4 + 7\/2*y**2 + 0*y**4 + 2\/3*y**3 - 4*y. Find the second derivative of u(l) wrt l.\nAnswer: -36*l**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9.3 - -9.4. Which is smaller: 1.7 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*a**2 - 82466*a - 5824840.\nAnswer: -2*(a + 71)*(3*a + 41020)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 279 + -118. Let n = -159 + m. Let j = -323\/9 - -36. Which is the third biggest value? (a) n (b) -0.5 (c) 0 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 567 (b) 141 (c) 2 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8542?\nAnswer: 2, 4271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*j + 538 + 160 = -83 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uxddydduyyuydddyud. What is prob of sequence dduu?\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*n + 12 + 8 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 15 = -0*c. Let d be (-3)\/(((-27)\/(-12))\/c). Let p = d - 3. Is -1\/5 at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5542 + 2*r**3 - 33*r + 33*r + 3473 + 2069.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 83379519 minus 31.004?\nAnswer: 83379487.996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201*n**3 + 405*n**3 - 195*n**3.\nAnswer: 9*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 995?\nAnswer: 995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 308800?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 82606948 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: Solve 8*i + 3 = 5*l, 4*l - 5*i + 11 = 12 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 f when three letters picked without replacement from fbqnfsfsbb.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7049274284 less than 0.3?\nAnswer: -7049274283.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 AM and 9:14 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 20*m**2 + 16*m - 5. Let w(q) = -q**2 + q - 1. Let k(f) = u(f) + 3*w(f). Let b = 11 + 7. What is the remainder when 25 is divided by k(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 + 44 - (-4 - (-1 - 5 - -6))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 60067 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 29\/2 of a minute?\nAnswer: 870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q - 7*q - 24 = 0. Let x be (-94)\/q + -2 + 1. Let v = x + 16. Put v, -23, -3, 0.3 in descending order.\nAnswer: 0.3, v, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*f - 3*f + 345 - 343)*(-2 - 1 + 5 - 2*f) in the form w*f**2 + n + l*f and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a microgram in nanograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -133 divided by -1\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.473048 rounded to 2 decimal places?\nAnswer: -0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 7 = 4*m - 1, -m + 5*k + 13 = 0. Let q(z) = z + 8. Let s be q(-6). Sort s, m, 6 in descending order.\nAnswer: 6, m, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 5 + 1. Suppose -w*y + y + 8 = 2*s, -3*y + 14 = 4*s. Solve 0 = -0*j - s*j + 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40364194 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y + 40 - 56 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w - 8. Let l(m) = 12*m**2 - 49*m - 43. Let k be l(-1). Let n(c) = -13*c - 33. What is k*q(p) - 4*n(p)?\nAnswer: -2*p - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -703 - -721. Suppose -3*u = -3*p - 108, -5*u + 3*p = p - 174. What is the remainder when u is divided by d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (197\/(-3) + -1)*-3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3161 - -15863\/5. What is the common denominator of -27\/5 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -154479468 by 286.\nAnswer: -540138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2154 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3827?\nAnswer: 43, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 41 + 4 + -3 - (5 + -5). Is s greater than or equal to -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54747267.\nAnswer: 3, 839, 21751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202 = -275*m + 202 - 129 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -218*v**7\/105 + v**5\/60 + 995*v**4\/12 - 3*v**2 - 687. Find the second derivative of u(p) wrt p.\nAnswer: -5232*p**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 73 = 4*o, 2*n = 4*n + 5*o - 37. Suppose -3*x = -2*y - 14, -2*x - y = 2*y - n. Calculate the greatest common factor of 8 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 90 + -25. Suppose 0 = 10*b + 25 - x. Solve 5*d + 29 = b for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 15*i - 13. Let u be h(-18). Let j = -30 + u. Suppose j + 6 = f + 4*t, 5*f = 5*t + 135. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177 = 289*s + 191*s - 539*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 975 = -11*a + 1041 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3656.\nAnswer: 2, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0614892 rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 30 - (-3 + (-2 - -3)). Let w = -17 + b. Let c(y) = -y**3 - 5*y**2 - 2*y - 7. Let r be c(-7). Calculate the greatest common divisor of w and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 12 (b) -45 (c) 3\/5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -65 (base 8) to base 12.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 0*r = 5*i - 61, 0 = 2*i - 3*r - 6. Let h(l) = 3*l - 23. Let g be h(i). Suppose 0 = -n - 4*q + 1, g*n - 4*q + 17 = q. Sort 5, n, -5.\nAnswer: -5, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + (20 - 39) + -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 1571 = -2*c, 3*z - 211 = -c + 558. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 + 0)*(243 + 234 - 347)*(0 + 0 + 3*i).\nAnswer: 390*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*g + 0*g + 0*g**2 + 9*g - 2*g**2 + 23 - 11*g**4 in the form u*g**4 + f*g**3 + z*g + t + n*g**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3657 by 92.\nAnswer: -159\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 356 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202 is divided by 68.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 276*m**3 - 558*m**3 - 13*m**2 + 283*m**3 + 2*m to l*m**3 + h + v*m**2 + f*m and give v.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 4*g. Calculate t(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1102212 (base 3) in base 12?\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12014840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-858)\/(-312))\/((-1)\/4) + 81. Suppose -3*f + 125 = d, -3*d + 2*f + 321 = 1. What is the greatest common divisor of n and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 340 and 40970?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i + 2*i**3 + 2*i + 2*i**2 - i**3 - 2*i**2 + (0*i + 0*i + 2*i**2)*(3*i - i + 0*i) - 4*i**2 + 4*i**2 - 3*i**3 + 5*i**3 + 0*i + 0*i.\nAnswer: 7*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(3) + 2) - sqrt(3) - sqrt(3))*5 + sqrt(27)\/sqrt(324) + 3.\nAnswer: 61*sqrt(3)\/6 + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 600 and 256.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 513?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 a, and 1 b when three letters picked without replacement from qzuabaqbbbq?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 5:34 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 194 - 88. Suppose -2*i = 4*d - z, 6 + 9 = 3*i. Suppose -s - 4 = -d. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 8, g: 3, y: 4, h: 4}. What is prob of picking 1 h and 2 g?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12926 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -315 divided by -5.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*w + 11 = 2*s, 0 = 3*w + 3. Suppose -4 = -s*d + 2. What is the tens digit of (5 - 1)\/(d\/5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 3. Suppose -5*f = 2*h - 75, -72 = 4*h - 3*f - 209. Let i be 6\/(-21) + 115\/h. Solve r*s - 15 + i = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 615 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: What is the third derivative of 15*l**6 - 146333*l**4 - 5848682*l**2 wrt l?\nAnswer: 1800*l**3 - 3511992*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - f + 1. Let j be p(0). Suppose -4*o + 14 = 5*t - j, -2*t = -2*o + 12. Suppose 2*g - o = 1. What is the remainder when g is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = h - 1. Let l = 9 + h. List the prime factors of 1 + -2 - l - -15.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 119 - 118.966. Let r = y - 0.334. What is the second biggest value in r, -1\/10, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 11\/2 of a microgram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1656929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225*m = 3314*m - 25569 - 86244 + 5643 for m.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a\/(a*a\/a**2))))**18)**(4\/29)\/((a**(-2\/3))**(-10\/3)\/(a*a\/(a**(-3\/7)*a)*a**(1\/5)*a)) assuming a is positive.\nAnswer: a**(26392\/9135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -127*c**3\/6 + 5*c + 2. Let g(h) = -h**2. Determine g(a(f)).\nAnswer: -16129*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.637164 take away 3186244?\nAnswer: -3186267.637164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -238930587 + 238930588.18999901. Let l = 1.19 - d. Round l to 7 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2353*b - 53*b**3 + 2353*b.\nAnswer: -53*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106 = 156062*l - 155956*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17132075.\nAnswer: 5, 109, 6287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-24) - (-14)\/3. Let a be (0 - 5)*-2*2\/4. Factor m**2 - m**3 + h - a + 0.\nAnswer: -m**2*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20 is divided by 55\/20*4 + 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -538 - 126*g + 1573 - 517 - 518.\nAnswer: -126*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 0*t + 405 = 0. Suppose 568 + 328 = 4*w. Let c = w - t. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a micrometer in nanometers?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 17*u**2 + 16*u + 39. Let j be (549\/122)\/(2\/8). What is the smallest common multiple of i(j) and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.38 - 0.02. Let w be (-1 - -2)\/1*-5. Let u be 1\/2 + w\/18. Which is the second biggest value? (a) -1 (b) u (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*(5 + -1 + -1). Let c(d) = 23*d - 11. Let x(u) be the second derivative of 4*u**3\/3 - 2*u**2 + u. What is s*c(n) - 17*x(n)?\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -8*d**2 + 2. Let b(k) = 7*k**2 - 2. Determine -6*b(f) - 5*o(f).\nAnswer: -2*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1256 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/360 and 71\/1020.\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 6 = 5*f, 44*f + 4 = 45*f + b for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1100, 1097, 1096, 1097, 1100, 1105, 1112?\n\"Answer: m**2 - 6*m + 1105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7990 divided by -3995?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7137.93 + -7.07. Let z = q + 7144.95663. Let f = -0.043 - z. Round f to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**4 - 4*h**4 + 3*h**4 + (-20303*h**3 + 141 - 141 - 336*h**3)*(-3*h - 2*h + 4*h).\nAnswer: 20640*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 3\/2*r**3 - 2*r + 2*r**2.\nAnswer: r*(r + 2)*(3*r - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 233184071?\nAnswer: 233184071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-12 + 19 + 7 + -1) - -58\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, d: 2}. Give prob of sequence td.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -10*g**3 - 21*g - 46. What is the remainder when m(-4) is divided by 225?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 320202 and 8.\nAnswer: 1280808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 816 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: Solve -4*q - 184 = 2*f - 210, -2*f = -3*q + 2 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m + 75 - 57 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-10)\/(-275))\/(30\/(-25)))\/(1\/6).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -263*o = -410*o - 735 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 168 (b) -3 (c) 0 (d) 1 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1581.64 times -0.019?\nAnswer: 30.05116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 328610 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k**3 - 7*k**2 + 7*k + 8. Let x(c) = -2*c**3 - 3*c**2 + 3*c + 4. Let q(g) = 3*p(g) - 7*x(g). Find the first derivative of q(t) wrt t.\nAnswer: 15*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*j - 13261 + 13213. What is the highest common divisor of j and 3630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = b - j - 41, 0 = -4*b - 3*j. Let t(f) = 2*f**3 + 0*f**3 + 3*f + 2 - 3*f**2 + f**3. What is the units digit of t(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -5*v**3 + 3*v**2 - 2*v + 2. Let s = -89 + 100. Let g(y) = -24*y**3 + 16*y**2 - 11*y + 11. Calculate s*c(d) - 2*g(d).\nAnswer: -7*d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1e33 - -1?\nAnswer: 1e34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 11 = -23 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**2 + 19*r + 86. Let c be 26 - 14 - (-7 + 2). Is 47 a factor of p(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 6*j - j)*(-3 + 1 + 1) - 3*j - 3 + 5*j + 1.\nAnswer: -3*j - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 45, 48, 55, 66?\n\"Answer: 2*o**2 - 3*o + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(3*(-11)\/(-33))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 793646*r**4 + 457*r**2 - 40*r**2 - 2 - 793647*r**4 to d*r**3 + m*r + n*r**4 + f + l*r**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 1\/714?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8006\/11 - -728. Which is the closest to 0.1? (a) 5 (b) -0.2 (c) m (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/((-14)\/(-6) - 2). Let o be (-6)\/(-4)*22\/z. Let g = o - 1. Does 5 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7d386 (base 14) to base 11.\nAnswer: -199407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + d = -7, -5*k + d + 8 = -11. Suppose 0 = -2*f + 5*f - 9. Solve 3*v = 3*s + k, 3*s + s - f*v + 2 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -8*m + 20. Determine g(6).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + -19 + 9 + 26 - -10?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 4, 0.3, -2\/23?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 320182139 to the power of 1\/3, to the nearest integer?\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 7:33 PM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -879 - 4bc?\nAnswer: -d57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 532, 303, -70, -563, -1152, -1813, -2522, -3255?\n\"Answer: 4*m**3 - 96*m**2 + 31*m + 593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35.90821 decades to millennia.\nAnswer: 0.3590821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 496\/93*(-6)\/14 - -2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -60444.9 or -348\/5?\nAnswer: -348\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1613808 a multiple of 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1413009, -1413014, -1413023, -1413036?\n\"Answer: -2*h**2 + h - 1413008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d - 9. Let r be s(4). Let y(t) = 7*t**2 + t + 2. Let x be y(r). Calculate the common denominator of 91\/430 and -1*776\/36*6\/x.\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1791 and 3775428?\nAnswer: 1791","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - z - 1. Suppose 1057 = 299*t - 779 + 640. Let i(u) = -2*u**2 + 26*u + 6. Determine t*y(o) + i(o).\nAnswer: 2*o**2 + 22*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 555, -3058, -12 in ascending order.\nAnswer: -3058, -12, 555","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/88 and -71\/176.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f - 3*f**3 + 2*f**2 - 5 - 2*f**4 - f**2 + f**4 + 3 to p*f + o*f**2 + q*f**4 + y*f**3 + x and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1755*p**6 + 21573*p**3 - 70306185*p**2 wrt p.\nAnswer: 210600*p**3 + 129438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 3:59 PM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**2. Let j(l) = -11*l - 18. What is w(j(t))?\nAnswer: 242*t**2 + 792*t + 648","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192 = 20*n - 44*n for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*a**2 - 4*a**3 + 0*a**2 - 43*a**2 + (2*a - a**3 - 2*a)*(2 + 2 - 3).\nAnswer: -5*a**3 - 21*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -11)\/1*(-294)\/1323?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 + -17 + -12 + -2 - (0 - 19 - -1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 10*z. Let b be s(-9). Suppose -2*m + b = -16*q + 17*q, q = -4*m + 13. Solve 3*r + m*r = 5*f - 15, -25 = 3*r + 5*f for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22868304.\nAnswer: 2, 3, 476423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45*n + 665*n - 54*n)*(-n**2 - 3*n + 3*n).\nAnswer: -656*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -5*d + 21. Let b(a) = 14*a - 62. Let c(v) = -4*b(v) - 11*s(v). Suppose -x - 18 = -3*x. What is the remainder when 14 is divided by c(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -278*k + 57 + 2723 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15574*a + 15576*a - 77900*a + 15584*a + 15582*a + 2*a**3 + 15584*a.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 628 - 6.\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.69, 1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -6*y - 25*y. Let s(b) = 3*b**3 - b**2 + 2*b. Let t be s(y). Solve 4*g - 17 = -5*k + 3, -t*g = -4*k + 16 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 1:22 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 5*z, 0*z = 3*u - z. Suppose 4*g - 3*c = 23, u*g = -4*g - 2*c - 2. Find the first derivative of -9*s**2 - s**2 + 8 + 19*s**g + 0*s**2 wrt s.\nAnswer: 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b3b5b6 (base 12) to base 9.\nAnswer: -5266223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-48)\/32 - (1 - 19329\/1332). Let v = j - 137\/12. Is v < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2414 - 4?\nAnswer: 2410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 - 0.06804.\nAnswer: -47.06804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - r - 3. Let g(j) = 30*j**2 - 15*j - 45. Let t(z) = -5*g(z) + 75*l(z). Let p(n) be the second derivative of n**3\/3 + n. Calculate p(t(u)).\nAnswer: -150*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -3. Suppose 2*o + 2*o = -4. Let f be 1*o*9\/(-3). Solve -t*x = 1 + f for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 8:53 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72 + 6 + 43 + s**2 + 4*s - 5*s**2.\nAnswer: -4*s**2 + 4*s + 121","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -308 + 535. Let r = c - 217. Solve i = -i - r for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/10*(2100\/90)\/((-2)\/3). Solve 0 = -4*s + 2*k + v, 16*k - 12*k = 5*s - 13 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 154\/4672499?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bksk. What is prob of picking 1 s and 2 k?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59352 is divided by 8443.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (0 + (-1)\/4)\/((-1)\/(-6))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kxgilhgl. What is prob of picking 1 g, 1 l, and 1 i?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/45 of a hour?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 50*n**4\/3 - 70*n**3\/3 - 208*n**2\/3 - 32*n.\nAnswer: 2*n*(n - 3)*(5*n + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o**2 - o**2 + 13*o**2)*(162*o**2 + 4138 - 4138) as t + p*o**4 + j*o**2 + r*o + l*o**3 and give p.\nAnswer: 1620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3768 is divided by 130?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 754\/(-3) + 2\/(-3). Find the common denominator of 31\/14 and 6\/(-27) - (-1870)\/m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186.2 rounded to the nearest ten?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -140765?\nAnswer: 14076a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i = 0, -m - 5*i - 3 = 10 - 1 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -19, 31128, 4, 17 in descending order.\nAnswer: 31128, 17, 4, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*s + 9*s - 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*d - 3*d + 4*d)*(-3*d + 2*d + 3*d) + 193*d**2 - 37*d**2 + 37*d**2)*(5 - 2*d - 5 + (-2*d + 2 - 2)*(1 + 0 - 3) + 0*d - 4*d + 5*d).\nAnswer: 603*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 5*y = -18, 36 = 1018*i - 1014*i + 5*y for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19\/108 - -2\/27. Suppose t = -4*s - 15, 3*t = -4*s + 3*s + 10. Let l be (-2)\/5 + t*(-102)\/(-150). Put d, l, -0.1 in decreasing order.\nAnswer: l, d, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (13 - 13) + -16?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jyyyyyyyyyyyjjyyjyy. What is prob of sequence yy?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -21?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3, 1, -161\/10, -22\/7, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 52 - 65. Let x(z) = -z**2 - 15*z - 22. Let k be x(j). Solve d + k*n - 9 = 0, -2*n = -6 + 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 2*l**2 + l - 2*l**3 - 8 + 0*l**3 to the form t + y*l**2 + m*l**3 + o*l and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3393, -3392, -3391, -3390?\nAnswer: -3389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*k + 3*k - 2*k)*(2*k + 0*k + 3*k) + (4 - k - 4)*(2*k + 1 - 1)*(4 - 1 - 5) in the form m*k + g*k**2 + n and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l\/(l\/(l*(l**(3\/5)*l*l*l*l*l)\/l*l)))\/l*l)\/(l*l**(-3)*l*l))**11 assuming l is positive.\nAnswer: l**(418\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13458 is divided by 13136?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25680 is divided by 3207.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 27\/(3159\/(-338))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/2720 and 23\/3650.\nAnswer: 992800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from zezzzezzzzzzz.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 15, w + 5*p - 690 = 160. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22\/3 in 19, 1.39, -1\/54?\nAnswer: 1.39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -17\/3 (b) 1\/2 (c) -14 (d) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -97777\/14 - -6990. What is the common denominator of n and 63\/148?\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6738595313 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gm when two letters picked without replacement from {m: 1, g: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11999664, -11999663, -11999662, -11999661, -11999660, -11999659?\nAnswer: -11999658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 25 = 29. Find the third derivative of 10*d**2 - g*d**2 + 31*d**4 - 3*d**4 wrt d.\nAnswer: 672*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 180512 and 416.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 918 + -6441\/7. Let b(o) = o - 15. Suppose 5*x = -2*i + 67, -5*i + 1 = x + 6. Let d be b(x). Which is smaller: m or d?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3486023 + 1666023. What is q rounded to the nearest one hundred thousand?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20833242 and 9546?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3970837, 3970836, 3970835?\n\"Answer: -x + 3970838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a hour in seconds?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 266947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14782 or 14783?\nAnswer: 14783","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19889661 is divided by 3560.\nAnswer: 3501","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 2 (b) -1\/4 (c) -0.2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of b**4\/4 - b + 5. Let c(a) = 17*a. Determine c(q(g)).\nAnswer: 51*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -6208400 to the nearest one hundred thousand.\nAnswer: -6200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -32 + -4?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52699 is divided by 72.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jje when three letters picked without replacement from ejeeeeejeeeeeeeeeee?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13488?\nAnswer: 2, 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in 21, 1\/2, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q - 12. Let f be a(-16). Suppose -30 = -f*x + x. What is the third derivative of 0*m**2 - m**6 + 5*m**6 - x*m**6 - m**2 wrt m?\nAnswer: -720*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.25038 to 2 decimal places.\nAnswer: -24.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + 6. Let n be (-32)\/(-12) + 4\/(-6). Let i = -2 + n. Let b be z(i). What is the greatest common divisor of 15 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 355424 - 302?\nAnswer: 355122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 10, e: 2}. Give prob of picking 1 e and 3 r.\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1683*m + 206.\nAnswer: 1683","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(8\/7)\/b)\/(((b\/b**(-2\/47))\/b)\/b))\/(b**(2\/23)\/(b*(b*b**17\/b)\/b*b*b*b)) assuming b is positive.\nAnswer: b**(159008\/7567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 121, 207, 309, 433, 585, 771?\nAnswer: 997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-48)\/56 - (-38193)\/44583. Let t = z - -23477\/263252. Find the common denominator of 33\/8 and t.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 1683 = -1839. Let j = g + 7003\/4. Let y = 119931\/2822 - -2\/1411. Find the common denominator of y and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*k = -264279 - 655260. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -3*o - 1427*h + 1424*h, 5*o - 73 = 13*h - 12*h for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 289945, 294828, 299709, 304588, 309465?\nAnswer: 314340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/68 and 41\/12468.\nAnswer: 211956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9743.461 kilometers in centimeters?\nAnswer: 974346100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*j - 81 = 13 + 46 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 12:03 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13*g**2 + 3*g + 281 + 128 - 52 - 10*g**2 wrt g.\nAnswer: -46*g + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.05 and 0.319.\nAnswer: 0.369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -2239a2?\nAnswer: -223998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 294.7 + -300.7. Sort 3, 0, 0.16, b in decreasing order.\nAnswer: 3, 0.16, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-3) + (-7 - 260\/(-39))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9372.9 - 9433. Round k to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 352 and 297?\nAnswer: 9504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -7 + (0 - (-13 + 7)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4*a - 10. Let k(i) = 3*i - 11. Let d(c) = -3*k(c) + 2*m(c). Is d(0) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13.6 - 12. Let l = v + -1.8. What is the second biggest value in -0.4, -5, l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -8. Let b(o) = 46*o + 15. Give b(p) - 4*i(p).\nAnswer: 46*p + 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*r + r, 4*v + 3*r = 239. Let l = -1260 + 1280. What is the remainder when v is divided by l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 482 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -17, -1 in ascending order.\nAnswer: -17, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -43, 0.3, 109?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -617.4882 - -673.482. Let f = x - 56. Round f to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(33\/(-1))*(-19)\/((-152)\/(-48))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5510 = 853*v - 2167 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 777 - 283 - 494 + 277*a.\nAnswer: 277*a","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 8356, 36641, 84848, 152977, 241028?\nAnswer: 349001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10266558 is divided by 2053280?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-159)*651\/(-434)?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 11 = 6*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 2, -4, 162.45?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -74 + 289. What is the second derivative of 12*k**4 - 215*k**2 + 25*k + z*k**2 wrt k?\nAnswer: 144*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + j + 0)*(2*j + 2 + 5*j - 5*j)*(-1 - 1 + 0)*(j + 7 - 7) to v + w*j**3 + f*j**2 + k*j and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*b + 98*b = 515355. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 168342?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 1114084?\nAnswer: -1114085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 22 - 33937*d**3 + 56 - 19.\nAnswer: -33937*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.0194 (b) 11 (c) 3 (d) 0.13 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - (-10)\/2)\/1. Let g be 1*8\/4*h. Let q be (-2)\/18*(-45)\/g. What is the third smallest value in 2, 0.4, 1\/8, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/((-1)\/1*5\/15). Let b be (7 + -8)*177\/j. Suppose 0 = -d - 4*d - 4*n - 92, -5*n = 2*d + 30. Which is smaller: b or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/355 and -6\/199?\nAnswer: 70645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 224 - 2*h + h - 446 + 227 - 11*h**2 + (-h - 3*h + h)*(5*h - 42*h - 10*h).\nAnswer: 130*h**2 - h + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79330, 158621, 237898, 317161?\nAnswer: 396410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 8:20 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqyqqqqyqyqqqqq. What is prob of sequence qyy?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7\/20 + 3\/20. Suppose 0*o = 5*o - 3*p - 3, o + 4*p = -4. Which is the closest to k? (a) 0.5 (b) -3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of l**4\/12 - 4*l**2 - 4*l. Find the first derivative of i(m) wrt m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**2 - 5*t - 8. Give v(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 25*u**2 + 25*u - 35. Give w(24).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -207 - -216. Solve -y = 4*k + r, -4*k = -2*y - 0*y - 6 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1342327 - 73658. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - 2\/1 - -6. Suppose t*o = o + 46. Calculate the highest common factor of 184 and o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.036626 rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 42 = -3*n + 19, 2*t - 5*n - 37 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 6:48 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 d when three letters picked without replacement from {d: 1, k: 5, z: 1, v: 1, p: 6}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 16856697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12, 2\/5, 8, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) -0.4 (c) 0.4 (d) 1179 (e) 9 (f) 3 (g) 163\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pssp when four letters picked without replacement from iisspsssspisispp.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -12724 (base 10) in base 9?\nAnswer: -18407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 3*u + 5 = 0, -4*z - 3*u = -7*u + 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -137, 4, 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1014021 is divided by 253243.\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(55)\/sqrt(5) + sqrt(11))**2*3.\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35719942767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50\/8*1216\/(-760)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 12. Let g(a) = 3*a**2. Let t be g(i). Let b(x) = 9*x - 4*x - t*x. Let s(c) = -24*c**2. What is s(b(u))?\nAnswer: -96*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4*m - 24 = 2*m, 0 = m. Let l(r) = r + 1. Calculate the remainder when 90 is divided by l(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**5 + 145*c**4 + 1710*c**3.\nAnswer: -5*c**3*(c - 38)*(c + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1598 and 6?\nAnswer: 4794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4836700 and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 9:41 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 293707056643 and 5.\nAnswer: 293707056648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 123312?\nAnswer: -123311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 24014 >= 24014?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 5*g + 23620 = 0, 4*g - 5086 = 2*w + 6750. Round w to the nearest 100.\nAnswer: -5900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21431 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.76 - 34.76. Let h = -46 - q. Let c = h + 11.9966. What is c rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9507 - 8709. What is the least common multiple of 21 and l?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 37 = 2*b - 5*j, -4*b = -2*j - 50. Let i be b\/3 + -1 - 24\/36. Solve -4 = i*q + 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyr when three letters picked without replacement from {y: 7, r: 6}?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 4 = -2*a + 23, a + 5*c + 9 = 0. Let u(k) = -k**2 + 8*k + 2. What is the units digit of u(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/((s*(s\/((s*s*s*s**(-1))\/s))\/s*s)\/s)))**(-22)\/(s**(-14)\/(s*s**(3\/2)\/s*s)) assuming s is positive.\nAnswer: s**(33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1086, -1038, -990?\nAnswer: -942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(42)\/sqrt(6))**2 - 5*(1 + sqrt(7) + sqrt(7))**2 - (sqrt(1008)*-1*-3 + (sqrt(1008)*1)**2*5).\nAnswer: -5150 - 56*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((370\/(-37))\/(21\/2))\/((104\/(-30))\/13).\nAnswer: 25\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c**2 + 10*c**2 - 3*c - 3*c**2)*(0*c - 3*c + c)*(-9 + 3 + 2).\nAnswer: 16*c**3 - 24*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t**2 - 23*t + 45. What is n(-11)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 5*p**2 - 3*p + 15. Let v be g(5). Suppose -3*f = -4*k - 2019, 2*k + v*k + 2025 = 3*f. List the prime factors of f.\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5800208833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32 + 34. Suppose x*a - 5*s - 25 = 0, -18 - 7 = 5*s. Suppose -5*u - 5*h + 5 = -a*h, -3 = 2*u + 3*h. Solve k + k + u = 3*t, 0 = -k for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70366.63 meters in millimeters?\nAnswer: 70366630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3926*k = -768*k + 18948 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2 - (-4 + 2)) + 141?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 4*u - 8 = 0, 0*v - 2*v - 2*u + 2 = 0. Suppose -5*p + 11 = 4*r - 2*r, -9 = -5*p - 3*r. Let l = -3 + p. Sort 3, v, l in decreasing order.\nAnswer: v, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/1 + (3 - 1). Suppose -4*q = -0*q - 100. Suppose q = 5*d, -v*d + 4 = i - 9. Solve b + i = 1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46 - 82 - 59)*((0 + s + 0)*(-4*s**2 + 3*s**2 + 3*s**2) - 4*s**3 - 3*s**3 + 6*s**3 + 0*s**3 + 3*s**3 - s**3).\nAnswer: -285*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49792, 99647, 149502?\nAnswer: 199357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 481 smaller than 481?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w*w**0\/w*w)\/w*w)\/w*w**24)**(-1\/40) assuming w is positive.\nAnswer: w**(-5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from oopoooooozo.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2628 and 10?\nAnswer: 13140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2327 + 0*m + 2326 + m. Let v(c) = -4*c - 1. Let d(f) = 1. Let x(r) = -2*d(r) - v(r). Let t be (2 - 4)\/(-1 - -3). Calculate t*x(l) + 3*j(l).\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n**5 + 16*n**4 + 44*n**3 + 24*n**2 = 0. Calculate n.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p - 1045 = -109. Differentiate 43 + 23*f**2 - 8*f**2 - p with respect to f.\nAnswer: 30*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 637.099 rounded to 0 decimal places?\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 817543 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77843, -311392, -700641, -1245590, -1946239, -2802588?\nAnswer: -3814637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -4\/7 and 0.5679 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3420103 - 2?\nAnswer: -3420105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 19 + -2 + -20?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10433193?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(72) - 5*-1*sqrt(72))\/sqrt(9).\nAnswer: 72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f**(-6)\/f))\/f)\/f**5)**(3\/5)*(((f*(f*(f**(-7)*f)\/f*f)\/f)\/f*f)\/f**(1\/3))**22 assuming f is positive.\nAnswer: f**(-1742\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) -2.4 (b) -0.4 (c) -68 (d) 0 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 505921840?\nAnswer: 2, 5, 6324023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10\/(-4))\/((-1)\/2). Let s = -6905 + 6918. Solve -s = -4*n - l for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - c = -58, -5*v + 136 = 4*c + 453. Suppose 0 = b + b + 3*n + 311, b + 2*n + 153 = 0. Let q = v - b. Calculate the remainder when q is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8.34746m?\nAnswer: 834.746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of -f**7\/840 - f**6\/18 - 5*f**5\/6 + 63*f**3\/2 + 95*f**2. Let p(b) be the first derivative of n(b). Let p(h) = 0. Calculate h.\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22404568 and 13237.\nAnswer: 1891","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 572 and 62414.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(-2*sqrt(1210) - sqrt(1210) - sqrt(20)\/sqrt(2)*-6))\/((sqrt(1800)*2 + sqrt(1800) + sqrt(1800) + sqrt(1800))*-1)*3)**2.\nAnswer: 729\/125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (903\/(-86))\/(29\/32 - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of b**3\/6 - b. Let j be 16\/6 - (-5)\/(75\/(-10)). Let q(c) = -36*c**2 - 33*c**j + 67*c**2. What is q(z(f))?\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**12)**(-19\/4)*(i**(-26)\/i*i)\/((i**19*i)\/i) assuming i is positive.\nAnswer: i**(-427\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 246*i - 2. Let f be h(1). Suppose -2*k - f = -4*u, -2*u - 3*k + k + 134 = 0. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5\/19 - 105\/38. Let z = -1.874 + 1.374. What is the nearest to 2\/5 in z, -1, y?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**3*r - 70*c**3 - 48*c**2 + 2*c + 2*r wrt c.\nAnswer: 6*r - 420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*c + 19*c - 22*c**2)*(c**2 - c**2 - c**2 + (c + c - 3*c)*(-2 + 2 + 2*c)).\nAnswer: 66*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + l**2 + 6*l + 6. Let b(q) = q**3 - 2*q**2 - 13*q - 13. Calculate -6*b(i) - 13*x(i).\nAnswer: 7*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -1, 0.5, 0.4, -0.0593?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 6. Suppose 3*f + 2*f - 2*t - 23 = 0, 4*t = -5*f - m. What is i in -5*i**3 + 2*i**2 + i**f + i + 5*i**3 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6404*i*o**3 - 337386018*i*o**2 - 16065*o**4 wrt o?\nAnswer: -38424*i - 385560*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 11*x + 433. Let c(i) = -12*i**2. Calculate o(c(d)).\nAnswer: -132*d**2 + 433","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 101*o**2 - 479*o + 123. Give v(-96).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 609451095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -30 - (-9 + (-9 - (7 + -9 + -28)))\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -2*x + 19 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u - 5. Let v be j(-5). Let r = v + 14. Solve 6*s = r*s + 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -79 - 3*j**2 + 22 + 20 + 37. Let i(g) = -2*g + 4. Let x(w) = 2*w - 5. Let q(k) = -5*i(k) - 4*x(k). What is q(t(b))?\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1480 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78 and 1131?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.14 - 0.04. Let n = k + 0.9. Sort 3\/7, 0.3, -2, n in ascending order.\nAnswer: -2, 0.3, 3\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 i, and 1 t when three letters picked without replacement from maiakatazaaitatatazk?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 6:27 AM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x - 18. What is k(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbbbbair. What is prob of picking 2 b?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8014\/3 + 2648. Let d be (4\/(24\/(-285093)))\/(-12). Let q = d + -3947. Find the common denominator of q and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 84750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 106*s**2 + 326*s + 83. Give j(109).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64124?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -2*a + 3*a. Let u(l) = -12*l**2 + 27*l + 39. Let c(z) = -z**2 + 2*z + 3. Let v(p) = a*c(p) - 2*u(p). Differentiate v(r) wrt r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31812, 31810, 31808, 31806, 31804, 31802?\nAnswer: 31800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - y + 1 = 0, 12*y - y + 6*y + 21 = -2*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26 and 95868?\nAnswer: 1246284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00162680004 to seven decimal places.\nAnswer: -0.0016268","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 5.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 143\/(-121) - -9 - ((-126)\/(-33) + -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 643306 * 0.7\nAnswer: 450314.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2039 + -2040. Let a(i) = -3 + 2 + 3*i**2 - 4*i**2. Let z(x) = 2*x**3 - 6*x**2 - 2. What is f*z(w) + 4*a(w)?\nAnswer: -2*w**3 + 2*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 35 = -4*h, 4*h = -2*b - 5 - 9. What is the third derivative of b*s**2 - 3*s**2 + s**4 - 2*s**2 wrt s?\nAnswer: 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8662387*k**4 + 36*k**3*l - 569231895*k*l wrt k?\nAnswer: -103948644*k**2 + 216*k*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -506239455 divided by 4?\nAnswer: -506239455\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64264328?\nAnswer: 2, 8033041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -151 divided by 5?\nAnswer: -151\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3145 (base 7) in base 11?\nAnswer: -920","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 210790 rounded to the nearest 10000?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/2*(-16)\/(-4)*57\/(-57).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 151 + -50 + -24 - 136\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + (-8)\/4)\/2 + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (32\/10)\/(3 - 28\/10). Suppose 0*c + 3*a + 9 = -3*c, 0 = -5*a - 5. Let x be (2 - (3 + c)) + 7. What is the greatest common factor of x and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t - 15. Let o be u(13). Suppose -2*j - 1 = -o. Find the second derivative of 3*h + j*h**2 + 4*h**2 - h wrt h.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - 5*c + 1. Suppose 3*n + 2 = -7. Let f(i) = -i + 2. Let h be f(n). Let o be g(h). Put 0, -0.2, o in increasing order.\nAnswer: -0.2, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -2. Suppose 3*r = -0*z - b*z + 6, -3*r + 9 = 5*z. Suppose 2*p + 2*s + 0 = 18, -z*s - 71 = -4*p. Is 10 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -4. What are the prime factors of (m\/2)\/((-18)\/48)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 283430.\nAnswer: 2, 5, 7, 4049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from ssssssssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -789*i + 158*i + 151*i + 159*i + 159*i + 163*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 23153579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r + 8. Let l be c(8). Let z = 6.9 - 7. Put z, -5, l in decreasing order.\nAnswer: l, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (-20 + 22 - -8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(22) + sqrt(22))*3)\/(2*sqrt(11)*5).\nAnswer: 9*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 949 - 950. Which is the closest to 1.7? (a) -0.3 (b) 1 (c) m (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 712661983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + 7*u - 3. Let t be l(6). Let j be -2*(0 - 2)*-1. Put t, -3, j in descending order.\nAnswer: t, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 794798832.\nAnswer: 2, 3, 31, 293, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32911 - 65818 + 32907 - 130*n**3 - 11*n**3.\nAnswer: -141*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 10 = -4*v, 7*v + 3*d - 29 = 2*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.121589 to 1 dp.\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 19032409757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = f - 4, 3*t = 7*t + f - 12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5719654 divided by -53959?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2863*r**4*y**2 + 2*r**2*y**2 + 459*r wrt r.\nAnswer: 68712*r*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**0)**49\/(x\/(x*x**(1\/4))*x)**47*(x\/(x\/(x\/x**(1\/2)*x)))**28*(x**(-3\/8)*x*x)\/x*x*x*x*(x\/x**(-2))\/x*x*x assuming x is positive.\nAnswer: x**(507\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*t - 5 = 13*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 3 + -7 - -3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -113a - -a?\nAnswer: -1130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3753*w - 2 = -3749*w - 2*h, -3*w + 3*h = 6 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {w: 7, h: 3, j: 3, y: 1}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 85 + 212. Suppose 6*p - 16 - 2 = 0. Suppose 5*c + 3*o - 180 = 0, c + 3*o = -p*c + 147. Calculate the highest common divisor of l and c.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 62*g**2 + g - 2. Let n be w(2). Calculate the greatest common factor of 8 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*a = 795 - 6921 - 645 for a.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-2 + sqrt(1008)*-4 + sqrt(1008))*3 - (-2*sqrt(1008) + -4 + (sqrt(1008) - (sqrt(1008) + 1)*-6)))**2.\nAnswer: 2688*sqrt(7) + 197637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u**3 + 2*u**2 + 2. Let d(a) = -a**3 + 2*a**2 + a. Let z be d(2). Let x(y) = 0*y**z + 5 - 1 - y**2 - 5 - 2*y**3. Give -3*r(p) - 5*x(p).\nAnswer: p**3 - p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -166392, -166377, -166356, -166329, -166296, -166257, -166212?\n\"Answer: 3*u**2 + 6*u - 166401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 598 less than -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 3 + 3)*(-t**2 - 3*t**2 + 3*t**2) + 285*t**2 - 14*t + 279*t**2 - 570*t**2 to l + r*t + o*t**2 and give r.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 312131 divided by -8?\nAnswer: -312131\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 893.\nAnswer: 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0*(4\/2 - 1). Suppose 2*s + 2 - 8 = t. Suppose -s*q + 8 = -5*p - 0, 0 = 3*q - 2*p - 14. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/2284 and 133\/624.\nAnswer: 356304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1491 to the nearest 100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**2)**(2\/39)\/(s**(-5)\/s**(-3\/7)) assuming s is positive.\nAnswer: s**(1276\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14202 - 3?\nAnswer: -14210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/15, 0.1784, -4, -1.42?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*f - 11 = 0, -4*p + 5*p + 14 = -5*f. Which is the nearest to p? (a) -1 (b) -2\/3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 7*x - 130 = 0. Is x a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63\/(-252)*(-28)\/(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132233.\nAnswer: 132233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 704987.6 centuries?\nAnswer: 845985120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*b + 7*b**4 - 7 + 7 wrt b?\nAnswer: 84*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 813 is divided by 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z*z*z**(3\/4)*z)\/z)\/(z\/z**(-8)))\/(z**(10\/7)*z**(-10)*z) assuming z is positive.\nAnswer: z**(65\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 388.4238 centuries to decades.\nAnswer: 3884.238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 + 0 + (15 + -6 - 40) + (41 - 16).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -4*a + 68, -2*a - 4*y = -5*y - 31. Calculate the remainder when 39 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00802899227 to six dps.\nAnswer: -0.008029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - 37*g + 108. Suppose 0 = -10*m - 77 - 233. Is b(m) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -38, -53, -80, -125, -194, -293?\n\"Answer: -o**3 - 8*o - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.53 + -1.65. Let a = y - -0.18. Let n = 4.000079 + a. What is n rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-3)*f*f)\/(f**(-2\/19)\/f))\/((f\/(f**(3\/8)\/f))\/(f**(1\/2)\/f)) assuming f is positive.\nAnswer: f**(-307\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4.1, 7, 270252?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6620410 rounded to the nearest ten thousand?\nAnswer: 6620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 + 24. Let r be (-15)\/(-5) + t*-8. Is (r\/4)\/((-1)\/20) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-21)\/(-2)*11\/((-132)\/8). What is the smallest common multiple of (-12)\/(-1 + 2 + -2) and ((0 - p) + 1)*(-80)\/(-32)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 - 29. What is the nearest to f in 0.5, -0.1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 923428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nppn when four letters picked without replacement from {p: 3, n: 4}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.58 - -2.58. Let o = -2318\/15 - -771\/5. Let w = 6 - 10. Which is the nearest to o? (a) 1\/6 (b) i (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0055 times -0.134?\nAnswer: -0.000737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-30)*27\/12. Let z(i) be the second derivative of l*i**5 + 0 + 0*i**2 + 1\/6*i**3 - i + 0*i**4. Find the second derivative of z(g) wrt g.\nAnswer: 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/273*7)\/(267\/34443).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a + 13. Let s(v) = -v**2 + 4*v + 6. Let f be s(6). Let c be w(f). Suppose 0 = c*k - 3*k + 3*o - 16, o = -5*k + 20. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41 - 13*g + 22*g + 49)*(3 - 2 - 2) + (6*g + 0 + 0)*(1 + 0 + 1).\nAnswer: 3*g - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -6667229 times -6\nAnswer: 40003374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 25, 3*a - d = -5*d - 2. Differentiate a - 5*u**3 - 10 + u**3 with respect to u.\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6890.8 and 2616639829.\nAnswer: 2616646719.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -435*n - 2*n**2 + 1285*n + 0*n**2 - 435*n - 415*n.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5\/3 (b) -5 (c) -2 (d) -89\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-30)\/9*(-10944)\/80?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of 4*s**7\/21 + 14*s**3 + 2*s**2 + 11. What is the first derivative of a(u) wrt u?\nAnswer: 160*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g. Let k(h) = -50*h - 8. Let p(x) = -1456*x - 234. Let s(a) = -117*k(a) + 4*p(a). What is s(r(c))?\nAnswer: 52*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v - 3*w = -6*v + 33800006, 0 = v - 4*w + 6759992. Round v to the nearest 100000.\nAnswer: -6800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 7*a + 2. Let d be r(7). Find the third derivative of 10*z**d - 4*z + z + 2*z**3 + 3*z wrt z.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 9*l**2 - 5*l - 4. Let o(s) = -14*s**2 + 7*s + 6. Calculate 5*o(u) + 8*t(u).\nAnswer: 2*u**2 - 5*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33214 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 0\/1)\/(-177 - -180). Let r(l) be the first derivative of 0*l**2 + 0*l - 3 - j*l**3. Let f(v) = -31*v**2. Calculate f(r(q)).\nAnswer: -124*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -12*u - 6. Let q be m(2). Let i = -21 - q. Solve -h = 2*j - i, 5*h + 0*h - j - 12 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 272333 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -3*n**3 - 9*n**2 + 3*n - 9. Let q(i) = -i**3 - 4*i**2 + i - 4. Let p(f) = -5*q(f) + 2*x(f). What is the tens digit of p(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -42*k - 184 + 8*k + 11*k + 16*k. Determine w(-26).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*k = -436772 - 56376. What is the hundreds digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49 - (-61 + -46 + 31 + -25)\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.2 rounded to 0 dps?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 992322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/198 and -113\/1782?\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*p**4 + 0*p**4 - 5*p**4)*(-4*p + 5*p + p) + (1 - 1 - 1)*(63 - 36 + 48)*(p**5 - 3*p**5 - 5*p**5))*(2 - 3 + 3).\nAnswer: 1046*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.3546 - -0.3546. Which is the third smallest value? (a) 2\/19 (b) 2.3 (c) -3 (d) -3\/4 (e) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -36, -42, -48?\n\"Answer: -6*o - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 2)*(0*s**4 + 0*s**4 + 2*s**4) - 27*s - 49*s + 76*s - 45762*s**4 + 11016*s**4.\nAnswer: -34750*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**2*n**4 + 72*b**2*n**2 - 2*b*n**2 - 2*n**4 - 2811*n**3 + n**2 - n wrt n?\nAnswer: -48*b**2*n - 48*n - 16866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -310314553 (base 7) to base 6.\nAnswer: -1445255331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 393.5? (a) -3\/4 (b) -0.2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k - k**2 + 2*k)*(1082*k + 817*k - 1124*k).\nAnswer: -775*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g - 10. Let m be q(-6). Let n(d) be the second derivative of -d**5\/20 - d**4\/4 + d**3\/2 - d**2 - 2*d. Let h be n(m). Solve -h = -5*z - 7 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -24*z**2. Let u(s) = -4*s**2 + 0*s**2 + 1186*s - 1186*s. Calculate b(u(r)).\nAnswer: -384*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 693 - 687.26. Let f = -9.43 + 5.36. Let n = p + f. What is n rounded to one dp?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -35370\/23 at least as big as -1539?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 4*l**3 - l**2 + l + 1. Let b be y(3). Let c = b - 49. Is c a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 217.04 and -3018?\nAnswer: 3235.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.084 (b) -14 (c) 2047 (d) 3\/7 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g**2. Let p(z) be the third derivative of -z**3 + 0*z**4 + 1\/60*z**5 + 5*z**2 + 0 + 0*z. Let i(f) be the first derivative of p(f). Give i(t(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -188, -184, -168, -134, -76, 12, 136, 302?\nAnswer: 516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3800 and 7068?\nAnswer: 353400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -416 - 714 = 426*w + 148 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in -7, -8, 1, -1\/21?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -205 - 8420*x**2 + 44 + 81 + 81 as y + k*x**2 + f*x and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 0 - 4. Let y be (-6)\/2 - (-6)\/i. Differentiate 2*s + 5 - 2*s + 0 + 3*s**y wrt s.\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34 - 21. Let z(r) = r**3 + 17*r**2 + 26*r - 33. Let s be z(-15). Find the second derivative of -s*n**2 - h + n**2 + 13 - 25*n wrt n.\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from alqlqlaozqq.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**2 - 5*r**2 + r**2 + r**2 - r + r + (4*r**2 - 3*r**2 - 3*r**2)*(0 - 2 + 0) + 112*r + 104*r - 214*r + 8*r**2.\nAnswer: 11*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/33 + 2 + 860\/(-374). What is the second biggest value in 2\/7, -1, 1\/12, m?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - 1*11*-1. Let n(o) = o**2 - 18*o + 11. Suppose p = -2*h - 2*h + 72, -h + 23 = -p. Let w be n(h). Calculate the highest common divisor of w and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 10 = 2*r + 5*k, -4*k = r + 7. Let w be 1 + (-2)\/((-4)\/2). Suppose 0 = w*x + x - 33. What is the least common multiple of x and r?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/15948 and -187\/60?\nAnswer: 79740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-91)\/3)\/(-13)*(-3)\/(-21)*-54\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2\/35, 9, -5, 33 in decreasing order.\nAnswer: 33, 9, 2\/35, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pwv when three letters picked without replacement from {p: 1, f: 1, v: 4, r: 2, w: 2}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 573 - 566. Let v be (-6)\/f*252\/(-54). Solve 4*g - g = -3*o, v*g = -2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 38*z - 0*z + 21 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 580b7b + -1?\nAnswer: 580b7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -436*v**3 - 30*v**2 - 33*v - 2. What is the remainder when r(-1) is divided by 128?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 p, and 1 s when three letters picked without replacement from {c: 2, e: 2, p: 1, s: 2, g: 9, f: 4}?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 0.07, -573, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((6 - 12)\/(-24))\/(-1). Let k = -8 - -2. Let d = -9 - k. What is the nearest to 1 in g, d, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(((v\/v**(2\/7))\/v)\/v))\/v*v*v)**(-19\/4)\/(v**7*v*v**(-12)) assuming v is positive.\nAnswer: v**(-229\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -o**4\/8 - 7*o**3\/6 - 4*o**2 + 4*o. Let f(r) be the first derivative of i(r). Differentiate f(q) with respect to q.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2 + 2025*z - 2030.\nAnswer: 5*(z - 1)*(z + 406)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 8:14 AM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*d**2 - 3*d**2 + 4*d**2)*((0 + 0 - 2)*(4 - 4 - 2*d) - 1 - d + 1 - 83 - 49 + d - 2) as b*d + i*d**2 + r + h*d**3 and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 j when two letters picked without replacement from jiijj?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, x: 4, d: 9}. What is prob of picking 2 u?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-33)\/(-7) - 8\/(-28). Suppose 3*v = -f + 33, -r - 4 = -v - f. What is the lowest common multiple of 2\/((-16)\/14)*-8 and v?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 348, 690, 998, 1254, 1440, 1538, 1530?\nAnswer: 1398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 27 = y - 33, -5*t = 4*y - 9 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 474, 744, 1208, 1872, 2742, 3824, 5124, 6648?\n\"Answer: r**3 + 91*r**2 - 10*r + 392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 4*w = -3*h - 38, -5*h + 8*h = -3*w - 6 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - m. Suppose -5*b - 4 = 6. Let p be 2\/(-4)*b\/9. Is p > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -161 - -284. Calculate the remainder when q is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/278 - -1119\/1946. Let p be ((-81)\/99 - -1)\/1. Which is the second biggest value? (a) 1\/4 (b) y (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 636370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 2013*b + 2011*b + 3 + 2*b**3 to w*b + o*b**2 + r*b**3 + l and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 18 = v. Let k = 7 + v. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 10376 - 4376 = 0. Suppose 3*z - n - 9755 = 0. Let m = 2719 + z. Round m to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/9 and 3*((-9921)\/810 - -12)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*r**3 + 65*r**3 + 18*r**3 - 18*r**3.\nAnswer: 89*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 243 - 245. Let d be (-2944)\/(-207) - x\/(-9). Solve 3*z + d = 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -152, -4, 0.275, -1 in descending order.\nAnswer: 0.275, -1, -4, -152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*z = -96*z. Let l = 2 + -2. Solve 3*g + l*g - 9 = z for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**2 - 5*o - 8. Let i be m(4). Let j be (0 - (-2)\/i)*0\/(-5). Solve -w + 5 - 3 = j for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -4*m + u, -8*m + 32 = -4*m - 2*u. Let a = 23 - 1. What is the remainder when a is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5 + -0.8. Let k = 4 - 3. What is the nearest to k in 4, 1\/7, d?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 10:18 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from jjjjrjr?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2167152502?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -224909 < 0.188?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5492359 is divided by 1576.\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4139 (base 12) to base 11.\nAnswer: -5376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56*c + 2*c - 159*c + 16*c)*(-10*c - 8*c + 4*c).\nAnswer: 1190*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 867665 and 9023716.\nAnswer: 45118580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - u**2 + 13*u. Let y(s) = -s - 1. Let z(p) = h(p) + 2*y(p). Let i be z(-4). Let k = i + -5. Let d(g) = g**3 + 3*g**2 + g - 2. Calculate d(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3079*r - 3088*r + 36. Let f = 2\/9 - 11\/90. What is the third smallest value in f, -3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1661 (base 7) to base 10.\nAnswer: -680","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 257?\nAnswer: -51.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46 + -40. Let h(k) = -k**3 - 6*k**2 - 7*k - 7. Let f be h(-5). Differentiate 0*z + 2*z + z + f - g wrt z.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -5*k - 56. Let j be u(-12). Factor 0*s**2 - 2\/5*s**3 + 0*s + 2\/5*s**j + 0.\nAnswer: 2*s**3*(s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/3*9*3\/(-42).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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: Four letters picked without replacement from {m: 9, p: 8, s: 2}. What is prob of sequence smsp?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -64*l + 2. Let d be m(-7). Suppose 0 = 5*w - 0*w - d. Suppose 0 = -2*u - 3*u + w. Does 18 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -1 + 1 + 3*y + 3. Let v be o(-3). Let r be v\/4*(-64)\/6. Solve -2*w - r = -5*l, -4*w - 2*l + 3*l = 14 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95.3 less than 1032219?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*n**3 - 51 + 51)*(-2 - 2*n + 2) - n**4 + 2*n - 2*n to the form h*n**4 + k*n**2 + q*n + f*n**3 + b and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 97.24 times -40278\nAnswer: -3916632.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 74 = -106. Suppose 5*r + 3*u = 8*u - z, -2*r = 5*u + 65. Let d be (4 + 0)*r\/(-14). Which is smaller: d or 11?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 1152?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**2 - 49329*a + 148014 = 0. What is a?\nAnswer: -16446, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -14562.61 + 4.73364?\nAnswer: -14557.87636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6819692, -13639376, -20459052, -27278720, -34098380, -40918032?\n\"Answer: 4*q**2 - 6819696*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (130*w - 130*w + 12*w**2)*(144*w - 83*w + 249*w - 4) to the form a*w**3 + t*w + b*w**2 + s and give b.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*q + 111*q - 4*h = -1, 3*q = -3*h - 18 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 54 and 192?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in 1\/5, -1, 0.3, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46675, -46673, -46671?\nAnswer: -46669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/1280*-4*-200.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 6:33 PM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 1:55 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11.76 and -1.1.\nAnswer: -12.936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 4*h**2 - 2*h - 1. Let d be w(-1). Let a(s) = s - 38 - 31 + 104 - 30. Calculate a(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 5, 3, -5 in descending order.\nAnswer: 5, 3, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -59*w - 10. Let t be s(-1). Suppose 50*a - t*a = 20789. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.410052 nanometers to centimeters.\nAnswer: 0.0000000410052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, q: 7, z: 6, c: 1, u: 2, b: 2}. Give prob of picking 1 c, 1 b, and 2 q.\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*u - 17*u - 23*u + 19*u - 964 + 55*u - 20*u.\nAnswer: u - 964","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4980 and 1425.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 2 + 51 + -54.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -6) + -6 - (-2 - -7 - 7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -4. Let f(k) = -6 + 9*k + 12 + i*k + 10. Let y(w) = -w - 1. Give -3*f(o) - 48*y(o).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine fifths of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1060*l = -2336*l - 845*l - 318075 for l.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -4 - (4 - 1)) + (-143)\/(-143).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 1 + (-15 - -15 - 5) - (-10 + 2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 11 + 0*d**2 - 9*d - d + d**2. Let o be t(9). Find the second derivative of 7*u**2 - o*u - 7*u**2 + 2*u**3 wrt u.\nAnswer: 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 + 39\/(-12))*4. Solve -4*v - 4*b = -4, -w = -4*v - b + 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*f - 23 = -21*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/2*(-6 - (-61)\/10). Let t(w) be the first derivative of -24 + h*w**4 + 0*w + 0*w**3 - 1\/25*w**5 + 0*w**2. Suppose t(z) = 0. Calculate z.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((63\/(-4))\/7)\/(315\/42)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from lluu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 858551192 to the nearest integer?\nAnswer: 950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -25548 (base 11) in base 16?\nAnswer: -8ef2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23177 is divided by 63?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21) - sqrt(42)\/sqrt(2))*5 - (sqrt(756) - (sqrt(756)*2 - sqrt(756)) - sqrt(756)))\/(2*(sqrt(363) - (sqrt(363)*-2 - sqrt(363)))).\nAnswer: 3*sqrt(7)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 7*n**2 - 12*n - 6. Let p = -21 - -30. What are the prime factors of r(p)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, -1, -2, 1, 0.3, 0.03 in increasing order.\nAnswer: -2, -1, 0.03, 0.3, 4\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2579 is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26042, 52051, 78026, 103949, 129802?\nAnswer: 155567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8731 (base 9) to base 4.\nAnswer: 1210123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 27 - 2100e9?\nAnswer: -2100c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 37 = 23. Find u, given that 2*u + 2\/3*u**m + 4\/3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1079, 1092, 1105, 1118, 1131?\nAnswer: 1144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*d + 93 + 231 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 547175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and (5\/3)\/(1*1\/48)?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-468)\/(-120))\/(-13)*(-2)\/(1\/1)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*x + 0*x**2 - 3 + 2*x**3 + 0*x**2 - 16*x to the form i + t*x + a*x**3 + v*x**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-3))\/(3\/45).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 7:40 AM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 - 27.7. What is the closest to 1 in p, -1, 0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1557 and 852374.\nAnswer: 853931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 2:50 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 26, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 w when two letters picked without replacement from czzwcbwcbz.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (-25 - 3) + 11?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 9*a**2 - 19*a + 4. Let n(c) = 73*c**2 - 150*c + 34. Let z(j) = 2*n(j) - 17*v(j). Let o(x) = -3*x. Give o(z(w)).\nAnswer: 21*w**2 - 69*w","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + p**2)*(3*p**3 + 2*p**3 - 3*p**3) + (24 + 6*p**2 - 24)*(-54*p**3 + 289*p**3 + 357*p**3).\nAnswer: 3554*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 193979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 3*y**2 + 7*y - 6. Let n be i(4). Suppose 844 = n*a - 2*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((8 - 9) + (1 - 0))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9 - ((-23 - -12) + 14 + -7 - -11)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 107*s**2 - 34*s - 7622. Give f(106).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 70.70389 centimeters?\nAnswer: 0.0007070389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2106813 and 597.\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -62 in -1\/6, 1, 20, -14, -2?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.1 - -3.9. Which is smaller: y or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114420?\nAnswer: 2, 3, 5, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of 2\/3*g**3 + 1\/8*g**4 + 0 + 2*g**2 + 0*g. Suppose 0 = 2*u - 4*k - 0*k, 0 = 4*u + 5*k + 26. Give i(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*-2*(-8)\/(-112)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 92520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 641 is divided by 162?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(4\/7)*g\/(g\/((g**(1\/44)*g)\/g)*g*g)*g*g\/(g**(-2\/43)\/g)*g*g**16*g assuming g is positive.\nAnswer: g**(260121\/13244)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 415458 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -19. Let g = a - -43. Suppose -3*h = -3*t + 570, t + g - 228 = -4*h. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 divided by -2.\nAnswer: 31\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 33928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4356 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 114593?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 6.1, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 6*z. Let r(i) = -42*i**2. Let m(u) = 2431*u**2. Let k(b) = -2*m(b) - 117*r(b). Determine k(d(v)).\nAnswer: 1872*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1211, 2341, 3425, 4445, 5383?\nAnswer: 6221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/3152 and 79\/9992?\nAnswer: 3936848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence quw when three letters picked without replacement from uqutuuquwetueqeqqut?\nAnswer: 35\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/76590 and -26\/140415.\nAnswer: 842490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 194.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1106444.\nAnswer: 2, 163, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -59 - 3862*a**5 - 103105*a + 51555*a + 51553*a wrt a?\nAnswer: -77240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (16\/(-3))\/(1\/555). Suppose 4*p + 4 = -16. Let i be p\/(-1*2\/j). What is i rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*v + 48*v + 75 = 0. Suppose 0 = -v*o - 11*o + 28522. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/6963 and -55\/27?\nAnswer: 62667","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70)*1*2)\/(sqrt(60)\/(-1*sqrt(6))))**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20260*c**2 + c**3 + 20260*c**2.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 153 and 2.311.\nAnswer: 353.583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110111100110 + 101110100000?\nAnswer: 1100110000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*b + 29*b + 29*b = -5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3882, 4, -4, 0, -29, -3, -1 in decreasing order.\nAnswer: 3882, 4, 0, -1, -3, -4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3*k - 19. Let s = -15 - -8. Let t be f(s). Put t, 3, -3, 1 in descending order.\nAnswer: 3, t, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 0 + 12)*(3 + 2*g - 3).\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -176*h + 823. Determine p(4).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-189)\/(-6))\/(6\/8). Let h be 1*3\/(3\/(-4)). Let f(c) = -c**2 - 5*c + 2. Let z be f(h). What is the highest common divisor of p and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*3 - (-1695)\/(-561). Let g = -10249\/1683 + a. Find the common denominator of -77\/4 and g.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, -10, 2, 2\/45 in decreasing order.\nAnswer: 2, 2\/45, 0.02, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (96\/(-216))\/(2\/(-45)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 4*q**2 + 8*q + 19. Let l be o(-6). What is the second derivative of -47 + 100 - 7*p**5 + l*p - 53 wrt p?\nAnswer: -140*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 805271\/16 (b) -3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 10*x**2 + 8*x + 6. Let q be g(-4). Suppose -2*a + h + q = 0, 5*h - 311 = -5*a - 6. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 429 + -395. Suppose 0 = -2*o - 6 - 2, -2*y + o + r = 0. Solve y - 13 = p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 5*q = 39 - 2, 0 = -l + 5*q - 28 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1648, -3297, -4946, -6595?\nAnswer: -8244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 2*z**2 - 2 + (-2 + 1 - 1 + 2*z)*(3*z - 3*z - 3*z).\nAnswer: -4*z**2 + 6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of -n**4\/4 + 13*n**3\/6 + 27*n**2 + 21*n. What is a(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002509733716 to six dps.\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1874 <= -0.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 69*f**2 + f**2 + 25*f**2 as t*f + v*f**2 + j and give v.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -88\/4980339 and -94\/91215.\nAnswer: 24901695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 0) + -1 - (0 - -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.37? (a) 1\/5 (b) -0.4 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 22*w + 0 - 1 + 0 + 3. Let v be p(-6). Let o = -86 - v. List the prime factors of o.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -221*k - 1897 = 2523 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13842?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4597.789ml in litres?\nAnswer: 4.597789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 7*w + 1. Let p be j(-7). What is the units digit of 6\/3 + p\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l - 3. Let i(b) be the first derivative of 3*b**2\/2 + 6*b + 12. What is -2*i(g) - 5*r(g)?\nAnswer: -g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiwiiwpoiwiwwi. What is prob of picking 1 p and 1 o?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 100 + 220. Suppose -12*g - y = 56. Put g, -1, 2 in increasing order.\nAnswer: g, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17512 = -4*k + 48*k. Suppose 122 = 3*z + 5*l - 482, 2*z + l = k. Is z smaller than 199?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4971401 is divided by 2485688.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 9:55 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*q - 62*q + 55492*q**2 - 55494*q**2 + 127*q.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1096\/11 + -36769\/374. Let s = f - 5\/68. Which is the second smallest value? (a) s (b) 2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/13, 6, 196?\nAnswer: 196","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 991 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n**3 + 9*n**2 - 9. Let w(i) = -i**3 - 2*i**2 + 2. Suppose -12 = -0*f - 3*f. What is f*q(a) + 18*w(a)?\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 2*i - 11 - 5, -3*j = -5*i - 23. Let s(y) = -y**3 + 10*y**2 - 11*y - 13. Is 13 a factor of s(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/32 + (-7)\/(-4). Suppose 3*z - 2*z = w. Factor 0 - 3*y + 6 - 7*y**2 + 3*y**2 + y**z.\nAnswer: -3*(y - 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1*((sqrt(200) - (-2 + 2*sqrt(200))) + sqrt(200)*-1 + 2))**2.\nAnswer: -1632 + 320*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-16) + (-50)\/(-8). Let b(w) = w**3 + 7*w**2 + 3*w - 1. What is the remainder when b(-6) is divided by m\/((-6)\/27*-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**5\/(d*d*d**(-1\/11)\/d*d))**(-3\/8) assuming d is positive.\nAnswer: d**(-51\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1569 and 3482657?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12766136 is divided by 1373?\nAnswer: 1355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 11) in base 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llkllklklllllllllkl. Give prob of sequence lk.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 + -1.2. Let u = 0.41 - 0.31. Let b = -0.7 + -0.3. What is the closest to b in q, u, -0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from ggggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/(-2)*(5 + 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.12 + 2.88. Sort -3\/7, 6, 2\/3, h.\nAnswer: -3\/7, 2\/3, h, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2791\/24 - -114. What is the common denominator of u and -13\/28?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v - 20 = 5*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3063146?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 6*z**2 - 3*z + 2. Let i(b) = -b + 1. Let m(k) = -9*k - 17. Let d(y) = -6*i(y) + m(y). Let v be d(-8). Let w be q(v). Solve 0*g - w*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 216?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w**2 - 324*w. Let h(j) = j**2 - 2*j. Calculate h(z) + u(z).\nAnswer: -2*z**2 - 326*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1620))\/sqrt(9) + 1)**2 - (sqrt(50) + sqrt(300)\/(sqrt(24)\/sqrt(4)))\/(-4*sqrt(40) - sqrt(10) - sqrt(10)).\nAnswer: 121*sqrt(5)\/5 + 721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1661 is divided by 711?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 1 = -d, -5*v + 1 + 6 = d. Suppose d*s = 3*s - 2. Suppose s*o - 1 = 3. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -b**2\/4 + 10253*b\/4 + 17955 = 0.\nAnswer: -7, 10260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9 + (-2)\/(-4)*-2. Let u = 12 - p. Is 2 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 1:16 PM and 5:12 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 180 = -5*l, -3*l = -3*a + 2*a - 101. Let m = -2 - a. Calculate the common denominator of ((-3)\/(18\/m))\/2 and 103\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2327834?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 9*r - 9. Let o be j(12). Suppose 0*i + 3*i = v - 9, -3*v + 2*i = -27. What is the highest common factor of o and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 + 16*f + 62. Determine d(19).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*a**2\/2 + 340569*a + 38662414587\/2 = 0. Calculate a.\nAnswer: -113523","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1325, 2651, 3977, 5303, 6629?\nAnswer: 7955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(4\/7))\/(t\/(((t**(-4\/7)*t)\/t)\/t*t)))\/(t**3)**34)**25 assuming t is positive.\nAnswer: t**(-18050\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-265)\/530 - (2\/4 + (-3 - 2018))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-1)*129\/(-86)*5\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -177 - -101. Let f = 74 + u. Sort 4\/3, -22, f in ascending order.\nAnswer: -22, f, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - (0\/3 - -2). Let v(c) = -1 - 4 + 2 - u*c. Let p be (-5)\/1 + (2 - 0). Let n(a) = 10*a + 14. What is p*n(m) - 14*v(m)?\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -756, -669, -582?\nAnswer: -495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1\/3, -17, -0.5, 0.0361, -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 4\/7*z**2 + 0*z.\nAnswer: 4*z**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5889 and 1661.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -119 + 119. Suppose w = -2*j - 3*z + 79, -5*j = 2*z - 6*z - 140. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3 - 144*n**2 - 27675*n.\nAnswer: 3*n*(n - 123)*(n + 75)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + h)*(-h**2 + 2*h**2 - 3*h**2) - 5*h**3 + 3*h**3 + 0*h**3 + (0*h + 6*h - 2*h)*(h**2 - 3*h**2 + 4*h**2))*(19 + 145 + 85)*(0*h - 2*h + 0*h).\nAnswer: -1992*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 5 (b) -0.4 (c) -5 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + m + 7, m + 0*m + 2 = -3*x. Let o be 1\/x + (2 - 4). Is 8 a factor of 9 + -3 + 3 + o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(19) - (sqrt(19) + 2*sqrt(1539))) + (sqrt(19) - sqrt(1539)*2))**2 + -3)*3.\nAnswer: 69807","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 0)*(3*q**4 - q**5 - 3*q**4) - q - q + 3*q**5 + 3*q.\nAnswer: 7*q**5 + q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/27 and -28\/2666729?\nAnswer: 72001683","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z + 20, -t + z - 2 = 6 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k - 188 - 3*k + 93 - k**2 + 94. Suppose 3*d + c = 1, -4*d + 0*d - c + 1 = 0. Determine x(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -1211200?\nAnswer: -1211202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2311.\nAnswer: 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 4*o**2 - 3*o - 1. Let y be (15\/25)\/(2\/10). Let v be j(y). Which is greater: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 286435?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*v = -37*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*b + 10 = -48*b + 3*j, 2 = -b + j for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 52\/14 + (-10)\/(-35). Suppose 4*m = -o - 14, 13 = -2*o - t*m - 3. Let q = 6 + o. Calculate the remainder when q is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -380894\/3039 + 376\/3. Let s = -2068\/21273 - d. Is s bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -107*v**4 - v**3 - 619*v**2.\nAnswer: -2568*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18878724 to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -144 (b) -6\/7 (c) -0.2 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 144050*h**4*u + 2*h**4 - 204*h*u + 8*h + 6*u - 3 wrt h?\nAnswer: 1728600*h**2*u + 24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g + 2*g**2 - 2*g**2 + 52*g**4 + 2 - g**3 - 47*g**4 to the form d*g**4 + l*g**3 + x*g**2 + p*g + v and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -78510 to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -3*l - 9. Let r(s) be the third derivative of s**4\/12 + 5*s**3\/6 - 11*s**2. Is r(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m - 4*m - m**5 + (-2 + 1 + 2)*(m**5 + 3*m**5 - 7*m**5) + m**5 - 5*m**5 + 2*m**5 - 61*m**5 - 6403*m**2 + 6403*m**2 + 2*m**3 + 1.\nAnswer: -67*m**5 + 2*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 16*r**2 - 72*r - 4. Calculate the smallest common multiple of 264 and o(5).\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -112302184705 + 9.7.\nAnswer: -112302184695.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and 1100.\nAnswer: 1099.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46222 and 270838?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-4) - (-341)\/(-1612)) + (-34662)\/(-66144)\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 216730827?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6768.68 litres in millilitres?\nAnswer: 6768680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(720)*-2 - sqrt(60)\/(2*sqrt(12)*1).\nAnswer: -49*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -91193000 to the nearest one hundred thousand.\nAnswer: -91200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 17 (c) -10 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 17 = 5*y, 0 = -4*c - 0*c - 3*y + 17 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -5*p - 38. Let f = 11 + -20. Let k be d(f). Suppose 0 = -3*o + 12, 4*v = k*v - o - 26. What is the highest common divisor of 20 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n. Let w(h) = 34*h - 25. Let g(b) = -28*l(b) + 4*w(b). Find the first derivative of g(y) wrt y.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -110*b + 112*b - 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 10, c: 4}. What is prob of sequence cccc?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92649 is divided by 4632?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 - -27. Solve 3*c + n = c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, x: 8, q: 2}. What is prob of picking 3 x and 1 r?\nAnswer: 112\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -26 in increasing order.\nAnswer: -26, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -16 - -2b?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 0, -3 in ascending order.\nAnswer: -3, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 9 + (-15 - -8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 4*s - 72. Let g = s - 15. Solve -w = w - 5*o + 9, 5*o = -g*w + 24 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - 9*z + 3. Let g = 86 - 36. Calculate the remainder when g is divided by x(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2787, -5614, -8435, -11250, -14059?\n\"Answer: 3*r**2 - 2836*r + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 210000 = -3*o, -5*z = -3*o + 142824 + 207176. Round z to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z\/(z**7\/z)))\/((z\/(z*(z**(-2\/7)*z*z)\/z*z))\/z*z))**21 assuming z is positive.\nAnswer: z**141","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z**3 - 2*z**2 + 2*z + 152. Let f = 251 + -251. List the prime factors of x(f).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16624*k**2*w**3 - 2*k**2*w + 94*k*w**3 - 6000*k*w**2 + 2*k - 19*w**2 wrt w?\nAnswer: 99744*k**2 + 564*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-3)*31\/(-124).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -367 + 331 = 9*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that l**3\/7 + 6042*l**2 - 1608255*l\/7 + 15281852\/7 = 0.\nAnswer: -42332, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13610819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -10. Suppose -4*m = -2*m - 2*r - 926, m - 5*r - 443 = t. Let b = m - 6. Calculate the highest common divisor of b and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*j + 3*j + 0*j)*(-4 + 7 - 2 + (-3 + 4 + 0)*(2 - 1 - 3))*(3 + 2 - 3)*(-5*j + 3*j + 3*j) to the form v + s*j**2 + z*j and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/5, -18, -6?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 AM and 9:44 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12150 and 1119.\nAnswer: 4531950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**2 - 65*u + 64. Let k(d) = 112*d + 5*d**2 + 112*d - 28*d + d**2 - 192. Let c(n) = 20*i(n) + 6*k(n). Factor c(a).\nAnswer: -4*(a - 1)*(a + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 6*j**2 + j - 4. Let v be q(6). Let n be (0 - 2 - -9) + v. Suppose 0 = -0*h + 4*h - 144. What is the highest common divisor of h and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.48, 1315, -2, 3, 0.2 in decreasing order.\nAnswer: 1315, 3, 0.48, 0.2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 10*m**2 - 33*m + 14. Let s be g(4). Solve -2278*z + s = -2284*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -123*-53727.\nAnswer: 6608421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 254548 and 728?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10\/87 - -3701\/348. Calculate the common denominator of ((-85)\/100 - -1)\/(3\/(-178)) and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 38*d**2 - 164*d + 13. Calculate p(-33).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -16 - -f?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x - 4*c + 15 - 2, -c - 8 = -4*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 + 38. Suppose a = -5*g + 34. Suppose 0 = -x + g*l + 231, -x + 3*l - 462 = -3*x. What is the highest common divisor of 21 and x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 - 39. Let j be c\/(-4) + 1\/4. Let z = j + -1. What is the greatest common factor of z and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**3 + 2*c**2 + 4. Let h be k(3). Let d = h - -54. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 616148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 9*g**2 + 5*g - 14. Let j(p) = 4*p**2 + 2*p - 7. Let h(k) = 7*j(k) - 3*v(k). What are the prime factors of h(-21)?\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -111 - -70. Let i = -27 - n. Suppose 0 = i*h - 16*h + 144. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 5, -2 = -3*z + t + 12. Suppose z*m = -3*o + 12, -4*m - 2*o + 14 = 3*o. Is m\/3 + 3*7 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -654656 (base 7) in base 15?\nAnswer: -23e1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30\/74863, -13, 1, 4 in ascending order.\nAnswer: -13, -30\/74863, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w + 25*w + 27*w)*(5 + 2 - 1) to the form u*w + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*b + 189*b - 1737 + 6137 = 0 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cxkxxcvx. Give prob of sequence xx.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2388752 is divided by 182.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 32*m - 5 - 3*m**2 - 6*m**2 + 6*m**2 - 37*m + 4*m**2. Determine l(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1391223072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*q**4 - 384*q**3 + 17*q**2 + 173*q wrt q.\nAnswer: -72*q - 2304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 10?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6877029 or -6877065?\nAnswer: -6877029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6831 and 2129490.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 10*t**2 - 11*t + 1. Let a be n(11). Suppose 3 - 2 = o. Calculate the greatest common factor of o and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1441 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 5*p + 100 = 8*i, -138 = -25*p - 162 + 424 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 1 + 15. Let u be x\/6 - 164\/(-6). Suppose -f - 4*f = -20. What is the greatest common factor of f and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-55)\/4 + (-13581680)\/(-985920)\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/10151808 and 139\/10151808.\nAnswer: 10151808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/7503 and -26\/2151?\nAnswer: 5379651","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -76*j - 285. Is o(-9) a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 363 - (-36)\/(-27)*6\/4. Let s = i - -141. Is s a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -80072, -320277, -720618, -1281095?\n\"Answer: -80068*u**2 - u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*y = 38*y + 120. Is 5 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/24 - 11413\/452.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52\/96 + (3 - (-44)\/(-12))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 342129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 48*x - 561. Suppose 78*j = 2573 - 935. What is y(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1\/41)*a**(-2\/31) assuming a is positive.\nAnswer: a**(-113\/1271)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32927.\nAnswer: 19, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/17 and 15\/180*63\/(-6).\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3150 - 34605\/11. What is the common denominator of l and 55\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -13*u + 15*u - 3*k, 4*k - 20 = 0. Solve u*b = 2*b + 2*y + 10, 2*y + 12 = -3*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54.25338 minutes to seconds.\nAnswer: 3255.2028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/6, -26, 0.1, -2, -11, -4 in decreasing order.\nAnswer: 5\/6, 0.1, -2, -4, -11, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39849880.\nAnswer: 2, 5, 7, 31, 4591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 180*b + 1484. Let l be w(-8). Let f(h) = h**3 + 11*h**2 + 7*h + 3. Let i be f(-10). Calculate the greatest common divisor of i and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - 38*a - 147. Let v be w(43). Let y be 17\/v - 86\/(-8). Solve y*h = 6*h + 20 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1101001 (base 2) to base 16\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rhrr when four letters picked without replacement from hrrrrhrh?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 2:55 AM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/15))**(1\/3)\/(y**11*y*y**(-4\/3)\/y) assuming y is positive.\nAnswer: y**(-433\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -270 = -55*m + 60*m. Let h be 112\/6*(-36)\/(-8). Let t = m + h. Is t a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -17. Let w = 13 + o. Let t(j) = 2*j. Let a(p) = -3*p. Let n(s) = w*t(s) + 3*a(s). Let z(c) = 3*c**2. Calculate n(z(i)).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 + 37 + -77 - (-17 - -2).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -63 + 63 - 12*q + (-2 + 2 + 4)*(-7 + 7 - 6*q).\nAnswer: -36*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.95 + 0.05. Let a = q + -13. Let i = -4 - a. What is the second smallest value in i, -0.1, -4\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1200757 and -3?\nAnswer: 3602271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 - (-1 - (-4)\/4) and 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 826 divide 881613900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1344)*1 + ((-1*sqrt(252) - sqrt(252))\/sqrt(12) - sqrt(21)) + sqrt(21))\/(-4*(sqrt(12) - sqrt(144)\/(sqrt(12)*2))))**2.\nAnswer: 63\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -21e + -1f?\nAnswer: -23d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 0*s - s + 24 = 0, q = 2*s + 30. Suppose -24*r = -q*r + 478. Let h = r + 52. What is h rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 4. Suppose -1 = s - 2*k - 0, -2 = g*s - 5*k. Let t be (2 - 1)\/(s\/5). Solve 5*r + 0*r - t = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1157669189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-114)\/1805*(-745)\/(-447)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5\/9 (b) -1 (c) -4\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 9 = -0. Let n(s) = s**3 + 2*s - 1. Let a be n(1). Suppose 4*i + 0*i = -2*k - 16, a*k = 2*i - 16. Which is bigger: f or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 46, 74, 88, 82, 50, -14?\n\"Answer: -z**3 - z**2 + 38*z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 2*f**2 + 3*f - 3. Let s be d(-3). Let o be ((-13)\/(-3))\/(s\/(-36)). Suppose 3*h = o + 2. Calculate the remainder when h is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 971899307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1422559.\nAnswer: 31, 109, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 - 16. Suppose 0 = -d + a*d - 10. Solve -d = 2*i - 3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - 350204.02?\nAnswer: -350204.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 0*v - v = 3, -l + 11 = 3*v. Suppose l*k = 9*k + 8, 0 = -3*f + k + 23. Suppose -f*c = c - 24. Solve 10 = -c*p + 1 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8045, 16902, 25777, 34670, 43581?\nAnswer: 52510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + -2 + -2*(3 - 2). Is 89 + z + -5 - 2 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -17*d**2 - 2*d. Suppose 5*i - v = 45, 9*v = 3*i + 10*v - 19. Let w(a) = -11*a**2 - a. Give i*w(n) - 5*q(n).\nAnswer: -3*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2256\/(-20096) + (-52)\/4082.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -c + 3*u, -6*c + 2 = -4*c - 4*u. Let d = 23 - c. Solve 8*w = 4*w + 4*k - 4, -3*w - 2*k + d = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t - 17. Let p(r) be the second derivative of -5*r**3\/6 - 25*r**2\/2 - 5*r. Let u(k) = 8*g(k) - 5*p(k). Determine u(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c + 35. Let r be w(8). Calculate the greatest common divisor of r and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -47237 - -67347. Round d to the nearest one thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 424*n**6 - 216*n**2 wrt n?\nAnswer: 50880*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27976795849 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 71*u**2. Let o(z) = 268*z**2. Calculate c(o(r)).\nAnswer: 5099504*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 255, -0.1 in descending order.\nAnswer: 255, 0.5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j\/(j*j**(-3))))**(-9\/4) assuming j is positive.\nAnswer: j**(27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 44 + 290*o**2 - 646*o**2 - 16 + 296*o**2.\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 - -27. Let z(h) = 3*h - 2. Give z(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 37.58, 5, -3\/28?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 81870.15 millilitres?\nAnswer: 81.87015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 30\/4*(-80)\/(-50)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94647600193 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5931*s**3 - 8136*s**2 wrt s?\nAnswer: 35586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s*(s\/((((s*s*s**(-5\/2)*s*s*s)\/s*s)\/s*s*s*s)\/s))\/s*s)\/s*s**5*s**9*s*s\/(s\/s**(6\/7))*s assuming s is positive.\nAnswer: s**(229\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (21714\/88)\/((-1176)\/(-448))?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - -1) + 0 - 5 - -879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (21\/(-8))\/((-33)\/22) - 3 and 61\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3473.54 minutes to milliseconds.\nAnswer: 208412400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-4 - -2) + 1 + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 4, -3, -1, 18, 14, 41 in descending order.\nAnswer: 41, 18, 14, 4, -1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-70)\/(-84))\/((-9)\/(9072\/(-12))).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 91025 and 550.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3*t + 3 = -5, 2 = 2*t. Let g(r) = -2*r - 2. Let h(z) = -1 - 15*z + 7 - 5 + 16*z. Calculate k*h(l) + 2*g(l).\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 143296 (base 11) in base 5?\nAnswer: 24131310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/6 + 10\/15. Factor 3*v**4 + 14*v**2 + 18*v**3 - 6*v**3 - 2*v**y.\nAnswer: 3*v**2*(v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -383.7 take away -0.02?\nAnswer: -383.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6349 is divided by 5286?\nAnswer: 1063","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1512412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -83, -2\/65, 0 in descending order.\nAnswer: 0, -2\/65, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12260527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*p - 279 + 1239 = -12*p for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/4)\/((-5)\/(-10)). Let m(t) = t**3 + 2*t**2 - 1. Let r be m(k). Solve -r*b = 4*g - 2, 2*g = g + 4*b - 22 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hzhzzzhlz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-574)\/42)\/(18*17\/(-918))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-32)*r*r*r*r**(-6)*r*r)**(2\/55))**(-50))**(-47) assuming r is positive.\nAnswer: r**(-2820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -32734 (base 9) in base 5?\nAnswer: -1143424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3*o**3 + 14*o**2 - 24*o + 608. Let y(z) = -z**3 + 5*z**2 - 9*z + 203. What is -3*h(r) + 8*y(r)?\nAnswer: r**3 - 2*r**2 - 200","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of w**6\/120 - w**5\/15 + w**4\/12 + w**3\/2 - 2*w**2 + 29*w. Calculate i(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -494279, -990457, -1486635?\nAnswer: -1982813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 71012814 divided by -113439?\nAnswer: -626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 866788453?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 711\/99 - (-4)\/22?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*t - 6 = -93*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*j + 197*j - 1 + 1.\nAnswer: 162*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 615764307?\nAnswer: 3, 199, 1031431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -318 times 1\nAnswer: -318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 28 = -4*i, 17198*s - 2*i + 36 = 17202*s. Factor -s*x - 24 - 2\/3*x**2.\nAnswer: -2*(x + 3)*(x + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 0.4, -0.2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 3 - 10) + 2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11214 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -9840 divided by 55\nAnswer: -1968\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 34, 64, 114, 184?\n\"Answer: 10*q**2 + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3 + 232*c**2 + 8890*c + 112700.\nAnswer: 2*(c + 35)**2*(c + 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 q when two letters picked without replacement from bbqbqbqggq?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 255501 + -1?\nAnswer: 255500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1571674 is divided by 3330?\nAnswer: 3244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 4*m**2 + 5*m + 3. Let q be o(5). Suppose q*d - 11 = 2*p, -2*d + 3*p = -0*p - 4. Let z be (-2 - 0 - -1)*-3. Sort d, z, -5.\nAnswer: -5, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2187*b**2 - 1804*b**2 + 4508*b**2 + (0*b - 4*b + 5*b)*(1 - 1 - b).\nAnswer: 516*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of i**4\/6 - 513*i**2. Let a(w) = -36*w. Determine a(y(v)).\nAnswer: -144*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 o when two letters picked without replacement from {j: 11, r: 1, b: 1, o: 6}.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 9*h**2 + 21*h + 4. Let x(r) = -16*r**2 - 46*r - 7. Determine 9*v(c) + 5*x(c).\nAnswer: c**2 - 41*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Solve -i**2\/7 + 960136*i\/7 - 230465284624\/7 = 0 for i.\nAnswer: 480068","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 5*w + 2313 = 0, -12 = 8*w - 12*w. Calculate the remainder when l is divided by 64.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**2\/3 + 10*b\/3 + 4 = 0?\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-23)\/(4370\/(-2774)) - 10\/(-25). Suppose -2*j + 7*j = 75. Let t be (-216)\/2*j\/(-12). What is the highest common divisor of t and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133*i + 278*i + 485*i + 144*i + 7.\nAnswer: 1040*i + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 1 - 3)*(o**2 - 3*o**2 + 10*o**2)*(-10*o - 13 + 13) - 3*o**3 + o**2 - o**2 to the form t*o**3 + a*o + y*o**2 + r and give t.\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -950 - -951. Let b = 6 - 8. Let x = 0 - b. Solve -x*k - s = -3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 408 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/((-24)\/44)*33. Let t = -73 - b. Suppose 460 = t*p - 43*p. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/4))**(-2\/47) assuming l is positive.\nAnswer: l**(1\/94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) -5\/3 (b) 2\/9595 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8047380 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10714 + -10714.11262. What is v rounded to 3 dps?\nAnswer: -0.113","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49)*2*1)\/((2*sqrt(70))\/sqrt(10)) + 0.\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 2*j**2 - 3. Suppose 4*n = -n. Suppose 2*g - q = 8 - n, -4 = 2*g + 5*q. Let u(r) = r**3 + 3*r**2 + 5. Calculate g*u(m) + 5*k(m).\nAnswer: -2*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 9*b**2 - 4. Let o(h) be the first derivative of -19*h**3\/3 + 9*h + 26. What is 4*o(n) + 9*z(n)?\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((0 - -10)\/5)\/87. Suppose 0 = 5*v + 32 + 288. Let l = v - -63. Which is smaller: r or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 6:39 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/224 and -13\/352?\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.01 + 6.99. Let z = n + -6.92. Let k = 0.22 + z. Sort 1, k, 1\/4.\nAnswer: 1\/4, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/(-12))\/(3\/(-8808)). Suppose 3*f = -f + n. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 439, 476, 513, 550?\n\"Answer: 37*q + 402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 19*r + 2. Let i(n) = 24*n + 3. Let h(p) = 4*i(p) - 5*z(p). Let o(m) = 4*m + 6. Give -16*h(k) + 5*o(k).\nAnswer: 4*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 7*c**2 + 7*c - 7. Suppose -19*z = -20*z + 2. Let g be (1 + 9)\/(z\/16). Suppose -16*k - g = -6*k. Determine r(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00010384 to five decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/8 of a gram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-624))\/((-7)\/((-252)\/(-24))).\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -1385*f - 23985. Determine y(-17).\nAnswer: -440","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by (-4)\/30 + 985\/75.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 988.268755 rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*h + 317*h + 1885 = 192*h + 182*h for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.692 - -25377.\nAnswer: 25377.692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2675)\/(-1070)*6\/55?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -3, 42, 0.2, -1\/41?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**5 - 650*y**4 + 1980*y**3 - 1990*y**2 + 665*y.\nAnswer: -5*y*(y - 1)**3*(y + 133)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 2282, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 335*c - 336*c - 36184 = 0, -2*y - 3*c + 14494 = 0. Is y a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*z**2 + 12 - 4 - 8.\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87*-4.7.\nAnswer: 408.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 4*t - 3*r - 3, -8 = 5*t - 2*r. Solve t = 3*f + 13 + 2, -15 = 2*s + f for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 293930 and 1482?\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2 + 239*v - 238*v + 9. Let d be b(-10). Let j(g) = 50*g**3 + 2*g**2 + g - 2. What is the units digit of j(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/18 - (-660)\/54. Suppose -9*b - 25 = -14*b. Suppose b*v = 5*q - 35, -3*v - 32 = 2*q - 6*q. Solve -4*g = -0*y - 2*y + h, -g + q = 3*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + k - 72115 = 14328, -3*c + 7*k = -51805. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 5*j - 4. Suppose -6*s = -2*s - 8. Let u be (s + j)*2\/(-8). Put 4, -5, u in increasing order.\nAnswer: -5, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8 - 15) + 6168 + -1. What is the common denominator of 47\/133 and (3\/76)\/(120\/u)?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1)*(2*m - 3*m - m)*(1691*m**3 + 34 + 3 - 37).\nAnswer: -6764*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1203 is divided by 71?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2*c = -36, -4*c - 5 = r - 7. Let q be 0 + (3 - 8) + r. Solve x - 3*a = -7*a + 5, 0 = -x + a + q for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25751085.\nAnswer: 3, 5, 503, 3413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 74.57 - 75. Let f = a + 0.03. Let p = -1.2 + 0.7. What is the closest to 0.1 in p, f, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.58 - 3005764?\nAnswer: -3005757.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1375145*c*v**4 - 27*c*v**3 - 173*c*v**2 + 2*c*v + 699*v**2 + v - 63 wrt v?\nAnswer: 33003480*c*v - 162*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/464 and 23\/2736.\nAnswer: 79344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/119834 or 0?\nAnswer: -1\/119834","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-3) - -3)\/((-5)\/(-25)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-13)\/26 + 752183\/2. Let n = -530091 + p. What is n rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 3:07 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.098, 33, 1\/5, 1, 9.\nAnswer: -5, 0.098, 1\/5, 1, 9, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -118 + 9. Let f = 100 + p. What is the smallest value in -0.2, 4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 993972527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4 + 14 = 0, -r + 23 = -4*y. Suppose -b = 3 + r. List the prime factors of -3 - (-1 - -2) - b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - y + 8. Let j be n(8). Let b = -59 + j. Solve -1 + b = 2*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25)\/(-75))\/((8\/(-54))\/(-4))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 4*l**2 + l. Let q(z) = 254*z**2 + 508*z. Give 508*f(y) - q(y).\nAnswer: 1778*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.27 + -2624?\nAnswer: -2623.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 376317592 and 0.2?\nAnswer: 376317591.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 7*q**2 + 40*q + 22. What is l(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**3 + 19*i**2 + 11*i - 5. Let t be w(10). Factor -4*l**4 - 2*l + 2*l**t + 4*l**2 - 41 + 41.\nAnswer: 2*l*(l - 1)**3*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2793*v**3 - 1395*v**3 - 1399*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 6:12 PM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35 and 470.\nAnswer: 3290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 7*q + 2. Let g(p) = -217*p - 63. Let c(r) = 2*g(r) + 63*h(r). Let t(a) = 8*a. Calculate t(c(b)).\nAnswer: 56*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**2 - 46 + 4*v**2 - v**2 + 10 as r*v + h*v**2 + z and give z.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -0.167064.\nAnswer: 0.0501192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 14*d + 31. Suppose x = -16 - 0. What is the tens digit of q(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-19)*z*z*z*z**(-7))**(-6\/7) assuming z is positive.\nAnswer: z**(132\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -176521\/20 + 8821. Let i = 6473\/8 + -815. Find the common denominator of i and m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.08 + -0.78. Let p = 0.7 + 0.3. Let y = -37\/13 + 3. Which is the closest to p? (a) y (b) h (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.6? (a) -3\/29 (b) 0.5 (c) 0.1 (d) 1\/6 (e) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 3 - 5111*k**3 + 3240*k**3.\nAnswer: -1871*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -73620 rounded to the nearest one thousand?\nAnswer: -74000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (463 - 856 - 3469)*(-2*h - h + 4*h).\nAnswer: -3862*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 145743 - 145744.34978. What is h rounded to one decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.39 - -151.39. Let f = -150.9 + g. Let q = 0.3 + -0.4. Which is the nearest to q? (a) 3 (b) f (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -2\/15, 12\/13, -5\/4.\nAnswer: -5\/4, -2\/15, 12\/13, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6034 - -6040. What is the smallest common multiple of r and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -13, -28, -45, -64, -85, -108, -133?\n\"Answer: -i**2 - 12*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22676.\nAnswer: 2, 5669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 7 + 25 = 0. Let v(u) = -u**3 - 6*u**2 - u - 3. Let k be v(z). Let s be 294\/24 + (-2)\/8. Solve 3*g - s = -3*y - 3, -2*y + 8 = k*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.61132 - 4.61132. Let c = -2 + 6. What is the closest to -0.1 in -9, c, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/1223, 0.4, 9\/29 in increasing order.\nAnswer: -2\/1223, 9\/29, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 87657 and 366?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -6011.23 times -6.1\nAnswer: 36668.503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 50.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 1:22 AM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -a57b?\nAnswer: -a577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -2*r + 86, 4*r - 144 = 123*x - 120*x. Calculate the remainder when 466 is divided by r.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1859*v + 68902*v**2 - 1859*v + 3715*v**2.\nAnswer: 72617*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 9867?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from mmioymymoo.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 352 and 2208.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of 0*i - 1\/12*i**4 + 25*i**2 + 0 + 77\/6*i**3. What is the units digit of x(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2577, 7256, 23645, 46590?\n\"Answer: 3278*j**2 - j - 5854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -439*c = -431*c - 96. Calculate the highest common divisor of c and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/4 (b) -1 (c) 0.3 (d) 3082 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35272\/9 - 3910. Let j = l + -377\/18. Calculate the common denominator of j and 2\/(-20)*288\/24 + 1036\/(-320).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6620204?\nAnswer: 2, 1655051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1419297794?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12 - 4464244361?\nAnswer: -4464244360.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, p: 2, w: 1, d: 1, a: 1, n: 2}. Give prob of sequence pw.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, 36, 87, 138?\nAnswer: 189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 62 + -27. What is the tens digit of g - ((-16)\/4)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (2 + -8 + 0)) + (-27 - 1)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 52\/8 + 6\/(-2). Let q = -244 - -557. Let v = 2819\/9 - q. Sort 2, 3, f, v in descending order.\nAnswer: f, 3, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 420 by -1.\nAnswer: -420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/5 + 8*u**2\/5 - 2*u\/5 - 12\/5.\nAnswer: -2*(u - 3)*(u - 2)*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(13)*-2 + 2.\nAnswer: -2*sqrt(13) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 349, 682, 1015, 1348, 1681?\nAnswer: 2014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -194\/3? (a) 4 (b) -0.3 (c) 55 (d) 2 (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*p**5\/11 + 672*p**4\/11 + 2010*p**3 - 108684*p**2\/11 - 82080*p\/11 = 0 for p.\nAnswer: -24, -2\/3, 0, 5, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -4*y + u, -3*u = -7*y + 9*y - 13 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 1:52 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbzsbszzzb. What is prob of sequence sb?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1904)\/(-245) - ((-100)\/(-126) - (-8)\/(-36)). Factor 86\/15*h**3 - 78\/5*h**2 + w + 54\/5*h - 2\/3*h**4.\nAnswer: -2*(h - 3)**3*(5*h + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(171) - -3*(sqrt(171) - (3*sqrt(171) + sqrt(171) + sqrt(171))))\/(sqrt(1089) - -2*sqrt(1089)))**2.\nAnswer: -17\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15533 - 9900. What is the greatest common divisor of m and 86?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -58*t + 2. Does 15 divide s(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1684*i + 1072*i + 2847*i + 4387*i + 81*i to the form c*i + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 12?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/((256\/(-112))\/16)*18\/(-21)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 4:54 AM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 11*d**2 + 15*d - 15. What are the prime factors of p(-7)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*q**6 + 9*q**4 + 223*q**2 wrt q?\nAnswer: -480*q**3 + 216*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3*u**3 - 91*u**2 - 540*u + 17113. Determine d(30).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -23, -182, -585, -1346, -2579, -4398?\n\"Answer: -19*y**3 - 8*y**2 - 2*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -0.73?\nAnswer: 0.219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -231, -230, -229, -228, -227, -226?\nAnswer: -225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 2*g + 2439 - 2428, -g = -2*t + 1. Put 163, t, 4 in ascending order.\nAnswer: t, 4, 163","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ziazitziiiizzmomoz. What is prob of picking 1 a and 1 t?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -114, 5, 0.5, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**2\/6 - 650*n = 0. Calculate n.\nAnswer: -3900, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 + -19. Let v = -0.3 + 0. Let b = v - -0.5. What is the third smallest value in b, -0.3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 693.2 from 0.619549314.\nAnswer: -692.580450686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -50 in 4, 5, 177, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -344927 * 4.\nAnswer: -1379708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -184.4 - -184.34. Is t equal to -4\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c7c (base 13) in base 11?\nAnswer: -1668","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.16235 + 1.132. Round f to 3 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3807?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a = -27 - 1 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-833)\/(-392) - (-2)\/(-16). Suppose 5*z - c = 7*z - 7, -w*c - 31 = -5*z. Solve -t - 4*k - 5 = -z*k, 4*t = -3*k - 20 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.2 + -38. Let x = p - -45. Which is the fourth smallest value? (a) -4 (b) 0.2 (c) x (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 235919352.\nAnswer: 2, 3, 19, 517367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3091789 or 3091721?\nAnswer: 3091789","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6037 and 32887.\nAnswer: 38924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 10*b**2 + 2)*(1 - 1 + 1).\nAnswer: 10*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -9*j**4\/4 - 2*j**3\/3 + 1332*j**2 + 2883. What is the second derivative of z(a) wrt a?\nAnswer: -54*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73, 139, 249, 409, 625, 903, 1249, 1669?\nAnswer: 2169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*3\/(-9)*3\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 187 + -187. Suppose b = 12*i + 4*i + 16. Which is bigger: i or 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s - 2*s. Suppose -2*g + 20 + 22 = s. Suppose 0 = 4*f - 5*p - 17, 0 = 3*f - 0*f - p - g. Solve 6*m + f = 2*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 366 and 385998.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 3:12 AM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-396*w - 18*w**2 + 396*w)*(w**2 + 2*w**2 - 5*w**2) + (-w**3 + w**4 + w**3)*(1 + 0 + 0).\nAnswer: 37*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 518 - 515 - (-4 - (62 - -8) - 6)?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 46606562?\nAnswer: 186426248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/308934 and -155\/492006?\nAnswer: 13284162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/(sqrt(63)\/(sqrt(7) - (sqrt(7) - sqrt(448)))).\nAnswer: 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/39 or -3?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of t**3\/6 + t. Let y be 4\/(-2) + 4 + 4. Let l(a) = -a**2 + 6*a. Let d be (1 - 5)\/2 + 1. Calculate d*l(u) + y*m(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*34*(-3084)\/(-104856)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64 and 2863?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36958 is divided by 36.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -163, -147, -117, -67, 9, 117, 263, 453?\nAnswer: 693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28305253, 28305256, 28305261, 28305268, 28305277?\nAnswer: 28305288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (((-3)\/12)\/(1\/(-4)) - 31)*-1. What is the greatest common divisor of w and 235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 439116 = 29*d + 40*d. Is 37 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/18*1\/((-3)\/(-540)). What is the units digit of z\/16*(-2 - -14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*0.1086\nAnswer: 0.03258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2000*q - 16. Let r be z(-6). What is the common denominator of 2\/7 - r\/672 and 79\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + w + 4*w = 154, -5*m - 3*w = -230. Does 16 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150840.\nAnswer: 2, 3, 5, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 15 = -3*n - 0*n, 4*n = -4*b. Let j(y) = y**3 - 4*y**2 + 3*y + 2. Let d be j(b). Solve -3*s - 5*m - 6 + 2 = 0, 5*s + d*m + 13 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = c + 8, -c - 3*c = d - 3. Let p(t) be the first derivative of 0*t**3 - 1 + 0*t - 1\/4*t**4 + c*t**2. Find the second derivative of p(m) wrt m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f + 10. Let c be j(-6). Let g be 108\/24 + (-6)\/c. Suppose 5*i + 41 = g*q, q - i - 15 = -2. What is the remainder when 22 is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -4*i - 16, 7 = -2*i - 5*n + 34. Let o be (i - -1) + (5 - 4). Solve -1 = -a + o for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -54*u - 1288. Calculate d(-25).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/25 (b) 4 (c) -4 (d) 144\/5 (e) 0.913 (f) -5 (g) -1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 2:06 AM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -594*m + 691 - 3661 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g - 3*g + 2*g + 1. Suppose -2*m = 6 + 2, 5*m = 4*q - 20. Suppose w - 3*h = q, -3*w + 1 - 5 = -5*h. Let v(s) = s. Calculate w*v(j) - b(j).\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + n + 72 = -3*d, 2*d = 0. Let r be (-13)\/65 + n\/10. Is 31 + r + 3 + 3 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 16*g**3 - 8*g**2 - 9*g - 25. Let b be n(-4). Let v = b - -1924. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nkcw when four letters picked without replacement from {w: 7, k: 3, c: 3, n: 2}.\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4088646 divided by -4.\nAnswer: 2044323\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -18*f**2 + f + 7. Let w(i) = i**2 + 1. Let y(h) = -m(h) + 6*w(h). What is the units digit of y(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 32 = 4*h, 2*h + 2 + 2 = -3*m for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2263 - 123 = -4*m. Let f = -272 - m. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 112992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 5*z**2 + 3*z + 2. Determine p(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 43883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) 10.1 (c) -37 (d) 3 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1409726?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 6.68 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -9*k**2. Suppose -158 + 212 = 6*y. Let j(m) = -6*m - 15*m + 3*m + 7*m - y*m. Calculate j(b(v)).\nAnswer: 180*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 281*y**2 - 56*y + 298. What are the prime factors of k(6)?\nAnswer: 2, 5039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 150411 and 5792.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*g - 112 = -167*g + 3551. Solve 3*a + 4*b = -14, 42*b = a + g*b - 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1008, -1972, -2936, -3900?\n\"Answer: -964*q - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89 - 23 = -33*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36165 = 29841*f - 29371*f - 9895 for f.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bpwbwfwww. What is prob of sequence bb?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 87*d + 1900. Let p be f(-41). Solve -o - 5*k - 10 = 0, -o - 2 = -p*k + 11*k for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303 is divided by 96?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -6*x**3 + 7*x**2 - 17*x - 2. Let h(z) = 11*z**3 - 13*z**2 + 29*z + 3. Let s(m) = -7*d(m) - 4*h(m). What is s(3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236 is divided by 236.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -828 <= 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26112074\/3307 + -7896. Is -1 greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 + -6 - 0 - (-35 + 30).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 744\/34 - 8\/(-68)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 5*d = -1, 5*t + 2*d - 19 = 6*d. Let v be 2 + -1 + (-30)\/(-24). Which is smaller: t or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + (-1 - -17 - (-141 - -170)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of -y**5\/60 - 169*y**4\/4 + 368*y**3 - 3214*y**2. Differentiate a(l) wrt l.\nAnswer: -2*l - 1014","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-378)\/7*198\/(-12). What is the highest common divisor of i and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 minus 72058?\nAnswer: -72120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*m + 234 - 1472759*m**4 + 125 + 1473984*m**4 wrt m.\nAnswer: 14700*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44835 divided by 105.\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3\/4024?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 462 = 87. Let z = a - 49. Is 15 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i**2 - 51*i + 195. Let n be u(11). Which is the biggest value? (a) 4 (b) -3\/4 (c) n (d) 209\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -56\/3 equal to -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 221 divide 25473565?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2492*r + 132 = 2506*r + 34. Solve 0 = -2*k + 3*v + 3, -5*k + 4*v + r = 10 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 499774 - -0.82.\nAnswer: 499774.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -5 (b) 0.5 (c) 5\/1306\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -534, 11, -59, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 11) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 34*r - 1313. Let b be f(-23). Sort b, 28, -97, 0 in ascending order.\nAnswer: -97, b, 0, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -463 + 328. Let h = x - -155. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29583?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 30 = 3*t - 5*n, -4*t = 5*n + 40. Let h = t - -12. Solve h - 4 = -2*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 44 = -2*k, -66 = -0*z - 5*z - 3*k. Suppose 10*g - 56 = -4*q + 14*g, q - 12 = 2*g. Calculate the lowest common multiple of q and z.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5444856, -2\/3, -3 in descending order.\nAnswer: 1\/5444856, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001468995 rounded to five dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 8*l**2 + 4*l - 4. Let g be u(-4). Let q be (-2)\/4*g\/(-2). Suppose -4*f + f = -r - 10, r = 2*f - 7. Calculate the highest common factor of f and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/1*(-25)\/(-10). Suppose -3*h + 177 = 2*n, -3*n = l*h - 3*h - 113. Calculate the remainder when h is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 4*a - 10. Let d(w) = -3*w + 7. Let z(n) = n**2 - 4*n + 2. Let u be z(4). Suppose -u*r - 14 = -0*r. Calculate r*d(k) - 5*j(k).\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -9. Suppose -5*r = -x*r - 6. Suppose -4 + 10 = -r*a. Put a, 5, 0 in ascending order.\nAnswer: a, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-16289)\/(-3828))\/(-7) + (-48)\/(-72) and -91\/20.\nAnswer: 6380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 8:35 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2*q = 5*q - 16, -q = -b. Suppose -b*r + 3*c - 15 = 0, 6 + 9 = 3*c. Factor -2\/7*a**3 + 0*a - 2\/7*a**4 + r + 0*a**2.\nAnswer: -2*a**3*(a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fzzf when four letters picked without replacement from ffzffzfzzz.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 105086670 by -3502889.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -7*i + 4*i. Suppose -5*t + 30 = 3*m, 6*t + 5 = 4*m + t. Solve m*y = -4*b + 30 + i, 3*b - y = 4 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, b: 4}. What is prob of picking 3 b and 1 e?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*c, 2*c - 10 = 5*n - 3*c. Let h(z) = -7*z - 2. Let r be h(-1). Suppose -3*v + 5*p = -17, -v - r*p + 3 = 4. Sort n, -3, v in decreasing order.\nAnswer: v, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 62917, 125864, 188825, 251806, 314813?\n\"Answer: s**3 + s**2 + 62937*s - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 580807*t**2 + t + 28. Give x(0).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6892?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*i**2 + 47*i + 25*i - 72*i.\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 124171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 15*l**3 - 10*l**3 - 3 - 2*l**4 + l - 7*l**3 to n*l + g + m*l**3 + t*l**4 + f*l**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -43516?\nAnswer: -43516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*c + 14*c + 91 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -5*r**2 - 8*r - 5. Let m(k) = -4*k**2 - 8*k - 4. Let s(t) = -5*j(t) + 6*m(t). Let x = -12272 - -12278. What is s(x)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 64069 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 96.6 + -138. Let t = 25624 + -25665. Let q = r - t. What is the smallest value in -2\/3, -0.8, q?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4036*i + 4037*i = -6 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 514 - 724. Let y = z + 210.0465. What is y rounded to 3 dps?\nAnswer: 0.047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/4)\/(3\/18). Let l be (-1)\/(3\/(-11))*u. Let i = 27 - l. What is the remainder when i is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxgxxzzxxxgzxxx. Give prob of picking 2 z and 1 x.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 985\/3546*(-28)\/60 + (-2)\/(-12)?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = 4*s - 40. Suppose 5*a + 19 = 3*r, -5*a - s = -0*a + 2*r. Let q(m) = 23*m**2 + 4*m + 5. Is q(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*y + 149*y - 3363 = 0. Solve 0 = 12*i - y*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1521 divided by -2?\nAnswer: -1521\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**3 - 72*t**2 - 35*t - 973. What is c(-38)?\nAnswer: 6133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -252, -418, -586, -756, -928, -1102?\nAnswer: -1278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 6*w**2 - 4*w - 2. Let v be q(5). Suppose -v*r + 91 + 14 = 0. Let l = 19 + -7. What is the remainder when r is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 30820984, -5 in increasing order.\nAnswer: -5, -4, 30820984","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1010110111 (base 2) to base 4\nAnswer: -22313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 9:39 PM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13150375 (base 9) to base 11.\nAnswer: 3719665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1630140 and 4971927.\nAnswer: 99438540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 - t + t - 2*t**2 - 3*t**2 + 3*t**2 + (3 - t - 3)*(-4 + 4 + t) + 0*t**2 - 2*t**2 + t**2 + t + 2*t**2 - t)*(7*t + t + 6*t).\nAnswer: -56*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*c**3 - 95*c**3 - 92*c**3.\nAnswer: -207*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*y**4 + 96*y**3 - 468*y**2 - 1240*y - 672 = 0. What is y?\nAnswer: -1, 12, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a985 (base 12) to base 4.\nAnswer: -21213311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1123 (base 12) in base 5?\nAnswer: -30044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (2\/10*12 - 3) + (-186048)\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -270 - -269. Let y be 0\/(w - -4) + (-1248)\/(-6). Calculate the greatest common divisor of y and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 - (-102 + (108 - 81))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 52 (b) 1.3 (c) -5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1570513 or -1570543?\nAnswer: -1570513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 7*g**2 + 6*g - 6. Let k be 4\/(-5)*(-75)\/10. Let x(o) = -6*o**2 - 7*o + 7. Give k*x(f) + 7*r(f).\nAnswer: 13*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 52 = -0*q. Suppose 2*i = -p + 7, -p + 0*i - 5*i + q = 0. Let n be p\/(-4)*10\/3. What is the smallest value in -8, n, 2\/11?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence upup when four letters picked without replacement from uuppuuuu?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*d**2*h**3 + 20*d**2*h**2 + 2*d**2*h + 5*d + h**4 wrt h?\nAnswer: -60*d**2 + 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3642535948.\nAnswer: 2, 181, 5031127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -14120\/847, -3\/4, 0.2, -5 in descending order.\nAnswer: 0.2, -3\/4, -5, -14120\/847","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*p + 13 = 0, 2*c = 37*p - 33*p + 18. Are -24\/541 and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -i**7\/189 - i**6\/45 - i**5\/90 + i**4\/18 + 2*i**3\/27 + 31*i. Find p, given that k(p) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of 0*p - 121 + 3*p**2 - 3\/4*p**4 - 3\/5*p**5 + 1\/6*p**6 + 7\/3*p**3. Suppose r(g) = 0. Calculate g.\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4225 - -1?\nAnswer: -4224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2182867 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**3 - m**2 + 7*m - 5. Let h(n) = -n**2 + 18*n - 4. Let r be h(18). Is q(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 35695, -2\/37 in decreasing order.\nAnswer: 35695, 3, -2\/37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 5. Let p = 0.02 - -0.98. Let j = p - 0. Which is the nearest to -2\/5? (a) y (b) -3\/2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 5*t + 320 = 0, 0*t = -4*t + 8. Let y = -27 - h. Suppose -3*a + y = 9. What is the greatest common factor of a and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j - 8. Let d be x(9). Suppose 3*s - d - 23 = 0. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24798 = 27*m + 25311 for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -436 - 13. Suppose 7 - 16 = 8*l + l. Is l*(z + 1) - (1 + -4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17430 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**3 - p**4 - 2*p**4 - 2*p**3 + (-3*p + 6*p + 5*p)*(5 + 27 - 10)*(-3*p**3 + 4*p**3 - 3*p**3) to c*p**3 + g*p**2 + h*p + o + t*p**4 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/27 in 1, 194.57, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + i + 27. Let b(t) = 4*t + 40. Let o be b(-10). Is 9 a factor of h(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*c**2 - 5*c**2 + 22*c**2 to the form f + h*c + m*c**2 and give m.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 47 = -5*w - 2*f, 3*f - 270 = -5*w. Let k(c) = -c**3 - c**2 + c - 1. Let i be k(-2). Calculate the remainder when 56 is divided by (1\/3)\/(i\/w).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = 3*d + 3*p, 3*d + 9*p - 15*p + 5*p = -10*p - 168 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**2 + 2*l**2 + 0*l**2)*(3*l**3 - l + l) + 31*l**5 - 79*l**5 - 34*l**5.\nAnswer: -67*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 10962 = -3*q - 2*k, q = -5*k + 3658. List the prime factors of q.\nAnswer: 13, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002071 rounded to 6 dps?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (84\/301)\/(8805\/2902715).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from icuccucuixic. Give prob of picking 1 u and 1 i.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - 15*p - 61. What is the remainder when 339 is divided by l(19)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 4*z - 98 = -2*c, -z + 203 = 4*c. Which is smaller: 301\/6 or c?\nAnswer: 301\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2843*q + 24413*q**3 + 24418*q**3 - 48832*q**3 - 2816*q.\nAnswer: -q**3 + 27*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000059352 to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 5 - 1 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 483 is divided by 170.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-388)\/(-1358)*(-21)\/(-117).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 10157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190022935.\nAnswer: 5, 29, 37, 35419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 31320 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/5)\/(12\/(-15)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -5*(5 + sqrt(847) + 2 - -2*(sqrt(847)*1 + sqrt(847)))**2.\nAnswer: -106120 - 3850*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2457*h. Let a(x) = -4*x**2. Determine a(y(k)).\nAnswer: -24147396*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-350))\/(1\/15).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7249.286nm?\nAnswer: 7.249286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4*a = -2*y + 13, 4*y + 20 = -4*a. Let b(o) = 54*o + 4. Let d be b(6). Is 14 a factor of (d\/16)\/(y\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -184, -1.06, -2, 1?\nAnswer: -1.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a litre in millilitres?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 93 + -95. Calculate the common denominator of u - (104\/(-24))\/((-8)\/15) and -115\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -36, -70, -118?\nAnswer: -180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1710000 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1188395 is divided by 1188385?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44 - -50. What is the derivative of -23 + 3*o**2 + a + 12*o**2 wrt o?\nAnswer: 30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 3*p - n - n, 11 = -p + 3*n. Let f = p - -30. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -48926225\nAnswer: 4\/48926225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34961?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -14, -4\/3, -1\/2, -3\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -280174205 to the nearest one hundred thousand.\nAnswer: -280200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 19*j**2 - 18*j + 13. Determine u(-20).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 34282\/129 and 265 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from knnckkv. Give prob of sequence nk.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2456570?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, y: 4}. What is prob of picking 2 g and 1 y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-5*sqrt(70)*1*4)\/(1*sqrt(250) - (sqrt(10) + sqrt(100)\/(2*sqrt(10)))).\nAnswer: -120*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/4 (b) 5 (c) 50 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 196078.\nAnswer: 98039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 972358397?\nAnswer: 972358397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -14550194 (b) 1\/6 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -526 + 553. Solve -25 = 22*j - s*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = -6*f + 1781. Is f a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1023 - 1?\nAnswer: -1024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.089 + 412.089. Let v = 420 - h. Are -0.7 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 71, 0, -12, 63, 3, -1 in decreasing order.\nAnswer: 71, 63, 3, 0, -1, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3\/4)\/(2\/(-1872)*-6)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2 + 3 + 10*l - 12*l + 5*l**3. What is the remainder when 12 is divided by q(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -147221*h**2 - 133 - 11 + 5*h - 30*h + 11*h. Let l be o(18). Round l to the nearest 1000000.\nAnswer: -48000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/400 and 61\/22?\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/9 (b) -0.1 (c) 0.5878 (d) -192\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54392, -108966, -163726, -218672, -273804, -329122?\nAnswer: -384626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.9 from -37302.\nAnswer: -37301.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6137.043 kilograms?\nAnswer: 6137043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03 - 2876545.91398.\nAnswer: -2876545.94398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -9*h + 5*h. Let n(p) be the first derivative of 2*p**3\/3 + p**2\/2 + 1. Let k be n(h). Solve 3*b - k - 14 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2 + 0 - 16*v + 18 - 9. Let b(k) = 6*k**2 + 66*k + 22. Let j(s) = 4*s**2 + 42*s + 14. Let g(o) = 7*b(o) - 11*j(o). What is f(g(i))?\nAnswer: 32*i**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 1 = 0, 4*b + 20 = 3*h + 5 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + d + 174*d**2 + 12 + 2*d**3 - 162*d**2 + 10 in the form a*d**2 + r*d + v + s*d**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 53 - 37. Suppose 2*x = -x + 15. Suppose -2 = a + 1, -x*b - 5*a - 5 = 0. What is the highest common factor of b and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5709227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 284602275 and 405?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 10.5. Sort h, 0.4, -5 in decreasing order.\nAnswer: h, 0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 70 = k. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 291 - 166. Suppose 2*b = -2*a - a + 145, -3*a + 2*b = -q. Calculate the remainder when -6*(a\/(-6) + 3) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 14 - 1 = 0. Suppose -4*w = 2*n - 32, -6*w = 5*n - a*w - 45. Does 11 divide (-3)\/n*4 - -22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -33. Suppose -4*j + 11 - 1 = g, -4*j + 22 = -5*g. Let n be 200\/60 - (-2)\/j. Solve 3 - r = -x - 5*o, 2*o = -n*x + 12 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 15 = -0*g. Suppose -60*p - 313 = -1033. Calculate the remainder when p is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -20*h**3 - 19*h**2 - 20*h - 2. Let o(v) = -37*v**3 - 38*v**2 - 37*v - 4. Calculate 6*o(j) - 11*u(j).\nAnswer: -2*j**3 - 19*j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19752 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1*(-1 + 2*sqrt(1872)))**2.\nAnswer: -37445 + 240*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4713, 18925, 42623, 75807, 118477?\nAnswer: 170633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 571*u - 6*u**2 + 4 - 561*u + 9*u**2 + (3*u - 4*u + 0*u)*(2*u + 0 + 0).\nAnswer: u**2 + 10*u + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5279466 and 32562.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11219.\nAnswer: 13, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 PM and 3:27 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2*u + 17 = 3, 12 = -3*u. Let r = -3 - -3.6. Let j = 0.6 - r. What is the nearest to -2\/3 in f, j, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -5, 1, 6 in increasing order.\nAnswer: -5, -4, 1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 4:09 AM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 26b?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1269 a factor of 199612431?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 832 divided by -832?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*p + 61 - 208. Suppose 5 - p = -m. What is the remainder when 92 is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 66 + -69.3. Let c = 3 + d. Let r = c + 0.2. What is the nearest to r in 0.1, 0.5, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 15*q**4 - 15*q**3 - 15*q**2 + 5*q + 5. Let i(s) = 8*s**4 - 8*s**3 - 7*s**2 + 3*s + 3. Let d(w) = 3*c(w) - 5*i(w). Let d(l) = 0. What is l?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**12*w**(-3\/2)\/w*w*w*w*w**(11\/4)\/w**(-3) assuming w is positive.\nAnswer: w**(73\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 112 and 19984?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4935919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8208236?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*x**2 + 133629*x + 85887 = 0 for x.\nAnswer: -3181, -9\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -16*j**2 + 4*j + 30. Let r(b) = -5*b**2 + b + 10. Determine -10*r(n) + 3*z(n).\nAnswer: 2*n**2 + 2*n - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(12)\/((sqrt(48)\/sqrt(2))\/sqrt(6)) + 5 + (sqrt(144)\/sqrt(16))\/(-2*sqrt(12)*-1))**2.\nAnswer: -2375\/16 - 125*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 86*v**5 - 692*v**4 - 54*v**3 + 692*v**2 - 32*v = 0.\nAnswer: -1, 0, 2\/43, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12636?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 77\/5 of a century?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4*u + 20 = -u, c = -u. Let p(l) = l**2 - 8*l + 7. What is p(c)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 26 - (50 + (36 - -15 - 228))?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b + 171. Calculate s(0).\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 6814*k + 776993. What is v(-114)?\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 500*v + 331 = 132*v + 8059 for v.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 9, 0, -27, -78, -159?\nAnswer: -276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2025*g**4 + 15237*g**3 + 7606*g**2 + 1212*g + 56 = 0. What is g?\nAnswer: -7, -2\/9, -2\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 180063\/5 < 36014?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -120 + 94. Let p(j) = j**3 + 28*j**2 + 53*j + 30. Let r be p(s). Solve 3*d - 5 - 2 = -b, -4*b = -r*d + 36 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 4. Suppose 5*u + 6 = 7*u. Suppose 2*o = -n - c, 2*n - u*o = -2*n - 15. Is n != -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 3*r - 21. Suppose -f - r + 4 = 0. Is f\/(-1 - (-1)\/4) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f - 1. Let s(b) = -7*b - 4. Let i(a) = 20*c(a) - 5*s(a). Let m(y) = -3*y**2. Give m(i(t)).\nAnswer: -75*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(44)\/sqrt(64) + sqrt(11)) - (5*(sqrt(11) + (sqrt(11) - sqrt(11)*-1)) + 1))**2.\nAnswer: 40*sqrt(11) + 4401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 763\/260 - -3\/26. Calculate the common denominator of n and -11\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -11. Suppose 2*g = o*g. Let y(z) = -z + 10. Calculate the least common multiple of 11 and y(g).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.7848 - -0.0842. Let w = y + 0.131. Let f = 11 + -18. Which is the nearest to w? (a) 4 (b) -0.5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 7052 = -4*n. Let s = 14011\/8 + n. Find the common denominator of -133\/6 and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from piliirjpjiriipjjl. What is prob of picking 2 l?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 5*f - 2. Let q be j(-3). Let i = q - -2. Solve 4*a - i + 2 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-18336)\/(-20))\/6 + 1\/5. Suppose 2874 = 3*z - d. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3340 (base 11) to base 6.\nAnswer: -32212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1000)*-6 - sqrt(1000))\/(sqrt(720) + sqrt(720) + (sqrt(720) - sqrt(720)*-1) - ((sqrt(15)*1)\/sqrt(3) - sqrt(5))).\nAnswer: -65*sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 468 (b) -329 (c) -6\/19 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-5.39.\nAnswer: -21.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -9508449.5 rounded to the nearest 100000?\nAnswer: -9500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/b**(-5)*b)\/b*b)\/b)\/b*b)\/b**(-1\/4) assuming b is positive.\nAnswer: b**(25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 - 13. Let d(u) = 2*u**2 - 8*u - 5. Let y(a) = a**2 - 3*a - 2. Let t(m) = -3*d(m) + 8*y(m). What is the remainder when l is divided by t(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 - 1)*(-3*s + 5*s + 0*s)*(7 + 44 - 1) - 3*s - 4*s + 5*s as f + h*s and give h.\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/892384 and 57\/111548?\nAnswer: 892384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b - 10a28?\nAnswer: -10a1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.08 in -1\/11, 3, 9, 0.5?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 432 and 5724?\nAnswer: 22896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*n + 291 - 391. Solve 2*u = 4*c - 16, u + n*c = -0*u + 13 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of -q**6\/120 + q**5\/60 - q**4\/24 - q**3\/6 + q**2. Suppose 0 = -1349*l + 1296*l + 106. Give c(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t**3 - 2*t**3 - 2*t**3)*(433*t**2 + 1053*t**2 + 58*t**2).\nAnswer: 1544*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -313, 1, -3, 4 in decreasing order.\nAnswer: 4, 1, -3, -4, -313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*t**2 + 20*t + 105 = 0. Calculate t.\nAnswer: -3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 26, 75, 164, 305, 510, 791, 1160?\nAnswer: 1629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 218*l. Let k(j) = -9*j - 1644. Calculate k(r(c)).\nAnswer: -1962*c - 1644","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1096 - -1?\nAnswer: 1097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, 13, 96, 269, 562?\nAnswer: 1005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 u when two letters picked without replacement from {u: 1, g: 2, y: 1, w: 2, l: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -6, 1, -5, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -584, -1167, -1750, -2333, -2916?\nAnswer: -3499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) -2.4 (b) 1\/5 (c) -82.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-15)*l*l\/l**(4\/11)*l assuming l is positive.\nAnswer: l**(-136\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3*w. Let f be s(-2). Let z(t) be the third derivative of t**3 - 25*t**2 + 0 - 1\/120*t**6 - 1\/4*t**4 + 0*t + 7\/60*t**5. Calculate z(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*b + 16610 = 47*b. What is the hundreds digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 65*z + 42*z**5 + 45*z**5 + 11*z**5 + 57*z + 4*z wrt z?\nAnswer: 1960*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6e (base 16) to base 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.3, -13.44, -0.2, -1\/3.\nAnswer: -13.44, -1\/3, -0.2, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 34*u**2 - 262*u - 881. Calculate k(41).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 131 - 10?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -4*w - 5. Which is smaller: w or 2\/83?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*z**4 - 216*z**3 - 396*z**2 - 96*z.\nAnswer: -3*z*(z + 2)*(z + 8)*(7*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -58 at least -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(6\/(-5))*3. Find the third derivative of 5*w**2 + 4*w**5 - 11*w**2 - b*w**6 - 4*w**5 wrt w.\nAnswer: -600*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qfffaflqfaar. Give prob of picking 2 f.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from ppbpppbppp?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -24*2 + 1 - -2. Let y be (48\/(-15))\/(6\/l). Suppose 5*h - y = h. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ku when two letters picked without replacement from hhrkkrkkkukkrorkkrr.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - 4*f - 2. Let d = -4 + 35. Let v = d - 3. Suppose 5*g = 5*q + 15, v = -4*q - 0*g - 4*g. What is w(q)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, 1\/9, 4.318927 in descending order.\nAnswer: 4.318927, 1\/8, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*q - 68*q - 3 + 3 + 249*q - 112*q.\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/4 + 31*d**2\/4 - 945*d\/4 + 3825\/4.\nAnswer: (d - 15)*(d - 5)*(d + 51)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -12. Suppose 2*x - o = -4*d, -3*x + 2 = -4*x + 5*d. Is (-1)\/(x\/12) + 239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fn when two letters picked without replacement from tfttffftntnfttff.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11.51747 and 25.\nAnswer: -287.93675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + q = -585, -c + 5*c = -3*q + 767. Let x = 1356\/7 - c. Let r = -0.4 - 0.1. Sort 2\/11, x, r.\nAnswer: r, x, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19634609 is divided by 848.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 355 - 17*p - 18*p - 5*p + 32*p. Let i be k(44). Which is the third smallest value? (a) 6 (b) 0.2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1397, -4, -2393, -1 in decreasing order.\nAnswer: 1397, -1, -4, -2393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 114545549?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k**2\/2 - 497*k\/2 + 4080 = 0. Calculate k.\nAnswer: 17, 480","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 1364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 11*o**2 - 14*o - 19. What is a(12)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = 6*d - 10*d + 135 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b**2*u**3 - 20771929*b**2*u**2 - 2*b**2*u + 2*b*u**2 - 891525*u**4 - 1 wrt u.\nAnswer: -12*b**2 - 21396600*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15)\/9*-3*1. Suppose -3*z + 4*v + 32 = 0, f*z = z - 3*v + 1. Let o be (-14)\/(-30) - z\/(-20). Which is the closest to -1? (a) -0.4 (b) -0.2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -7 + 25 - (13 - -48)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.298 - -2.702. Which is the biggest value? (a) w (b) 17 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.381 * -3.\nAnswer: -1.143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fwmutyf. What is prob of picking 1 m, 1 y, 1 f, and 1 u?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -739, -4438.\nAnswer: -4438, -739, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 2401 divide 268554251?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/338 and -61\/5408.\nAnswer: 5408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24377 is divided by 7290.\nAnswer: 2507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 702914 (base 12) in base 11?\nAnswer: a93271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**3 + 1571472*p**2 + 205792115751*p - 411590517414 = 0 for p.\nAnswer: -261913, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.7 - -1.9. Sort m, 2, -7 in descending order.\nAnswer: 2, m, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = d + 3, 4*h + 5*d - 2*d = -2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*g - 10 - 7 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 2. Let g be l\/(-22) - (-18956)\/77. Suppose -3*y + 5*r = r - 355, 0 = -2*y - 2*r + g. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -695631228 divided by 4.\nAnswer: -173907807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**9*s\/(s*(s\/(s*s**6*s))\/s*s*s))\/((s\/((s\/s**(-3)*s)\/s*s))\/s)**(-5) assuming s is positive.\nAnswer: s**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-5 + sqrt(245)*2 + sqrt(245) - sqrt(245))**2.\nAnswer: -140*sqrt(5) + 1006","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - 8. Let g = 12 + 0. Calculate the least common multiple of g and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -78 + 75. Let k = -1.4 + -3.6. What is the closest to -2\/15 in k, 2, y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -3*x - 0*x + 14, -5*b + 5*x + 30 = 0. Let n be b + -3 + 4 + 48. Let k = n + -5. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2216 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31798 and 23062?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 12:42 PM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 246b9ba + 1?\nAnswer: 246b9bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -349*k**2 - 429*k**2 - 222*k**2 + 91*k**2 - 1673*k**6 - 332*k**2 wrt k?\nAnswer: -200760*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/((b\/(b\/(b*b\/(b\/(b**18\/b))*b*b)))\/b)*b**(-2\/3) assuming b is positive.\nAnswer: b**(-56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*z + 3716 = 3908. Let m(o) be the first derivative of -3*o**2 + 34 - o + 2\/3*o**z. Calculate m(5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ygtkkkkyyktkkekkkyyk. What is prob of sequence ty?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvdv when four letters picked without replacement from {v: 12, u: 3, d: 3}?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -9*r - 119. Give j(-21).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -137 - 0?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 678 = -2*t - t, -2*k - 2*t = -1364. Let b = k + -180. Is (-2)\/(-11) + b\/11 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -14*t - 13*t + 44*t - 18*t. Let z(n) = 187*n**2. What is z(l(j))?\nAnswer: 187*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3*p**2 - 6*p - 7. Let f be c(-5). Let d = 41 + f. Is 5321*2 - (d - -8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1062?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 804146?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*b*u**3 - 39318*b*u - 7*b - 9*u**3 + 2*u**2 + 17020*u - 1 wrt b.\nAnswer: -3*u**3 - 39318*u - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*c**3 + 33*c**2*z + 34*c**2 + 2939*z wrt c?\nAnswer: 6*c**2 + 66*c*z + 68*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11020?\nAnswer: 2, 5, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(20\/(-15) + 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**2\/4 + 7917*q\/4 + 7923\/2 = 0.\nAnswer: -2, 2641","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-360)*32*-3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/33373072 and -65\/8328.\nAnswer: 100119216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -396058, -396064, -396080, -396112, -396166, -396248, -396364?\n\"Answer: -k**3 + k**2 - 2*k - 396056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eseeseseeeeeeeeeeeee. What is prob of picking 3 e and 1 s?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - (-4)\/1) + -2. Sort 11, -3, k.\nAnswer: -3, k, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16609.87 rounded to the nearest 100?\nAnswer: -16600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 16) to base 3\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2040779 a multiple of 143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 171843919 to the nearest integer?\nAnswer: 13109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6075 is divided by 39?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 2*i + 26, -2*b + 6*b = -4*i - 28. What is the units digit of (-1)\/(i - (-205)\/70)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 9:49 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 2*x = 12, -2*i + 2*x = 6*x - 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -5*g + 0*g + 5*g + 4*g. Let k(u) = -2*u**2. Determine k(i(l)).\nAnswer: -32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4596\/19 - -242. Let y = 8 - 14. Let u be (-2)\/(0 - (1 + y)). What is the closest to u in b, -2\/11, -0.1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7}. Give prob of sequence lll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d0959 - -39?\nAnswer: -d0920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 117 - -117. Is 18 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m - 3. Suppose 0 - 16 = -8*i. Determine y(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37.21846653 + 0.3.\nAnswer: 37.51846653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 - -21.8. Let p = -2.28 + 2. Let u = 0.02 - p. Sort -1, u, t in ascending order.\nAnswer: -1, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 times 1.024?\nAnswer: 24.576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jlwtlwmttmmtutwttw. What is prob of sequence umtm?\nAnswer: 7\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 918015 = 3*z + 234285. Let k = 150910 - z. Round k to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -9*m. Suppose 0 = 217*r - 187*r - 90. Let b be 4\/14 - (-768)\/7. Let c be 1\/2*r - b\/44. Give g(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 5*i + 3*p - 4*p, 0 = -3*i + 3*p - 15. Let w(j) = j**3 + 7*j**2 + 5*j + 1. Let t be w(i). Let o = t - -30. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 1912 = 13*w. What is the remainder when w is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184 = -5*d - 2*x, 35 + 29 = 2*d - 4*x. Suppose -5*t + d = 4*w, 4*w = -2*t + 26 - 2. Solve 13 - w = -3*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79, -150, -221, -292, -363, -434?\nAnswer: -505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -95, -359, -805, -1439, -2267, -3295, -4529, -5975?\nAnswer: -7639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-304)\/(-114)*3\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 36 = r. Suppose 218 + 16 = r*v. What is the highest common factor of 13 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9115849*-3\nAnswer: -27347547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 198, 420, 666, 930, 1206, 1488?\n\"Answer: -s**3 + 18*s**2 + 175*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2*sqrt(560) + 5*1*sqrt(35))\/((sqrt(45) - (sqrt(45) - sqrt(2205)*-1))\/sqrt(9)).\nAnswer: 65*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7359*f - 1154*f - 4881*f to the form a*f + t and give a.\nAnswer: -13394","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16)\/(-16)*(-10)\/(-2). Suppose u*z = -2*s - 0*z - 62, -4*s - 3*z = 138. Let a(r) = -5*r. Let q be a(7). Is q less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 298321?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/28 (b) 511 (c) -4\/11 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.74 - -4.04. Let g = f + -0.2. Which is greater: g or 0.159?\nAnswer: 0.159","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 11:30 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 177798\/5 + -35560. Let w = -1 - -1. Which is smaller: l or w?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 210 and 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/10)\/(-3)*((-25925)\/204)\/61?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of k**5\/110 + 3*k**4\/44 - 4*k**3\/11 - 97*k**2\/2 + 13. Let f(a) be the second derivative of d(a). Determine c so that f(c) = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*c*y**3 + 3*c*y + 432567*c - 10599*y**3 + 3 wrt y.\nAnswer: -18*c*y**2 + 3*c - 31797*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 5*l - 629, -493 = -4*l - 2*w + 3*w. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = l, -4*o + 2*o + 27 = -3*l. Calculate the smallest common multiple of (218\/1417)\/(4 + 933\/(-234)) and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from xttxtxtxxxxxttxt?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**2. Let n(p) = 7*p**2 - 11*p - 24. Let q(y) = 8*l(y) + 2*n(y). Factor q(g).\nAnswer: -2*(g + 3)*(g + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8112 divided by 8\nAnswer: -1014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(108) + (-2*sqrt(108))**2.\nAnswer: 6*sqrt(3) + 437","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 19359?\nAnswer: 96795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -29*i**5 - 5*i**4 - 10*i**3 - 791*i**2 - 10. Let g(x) = x**4 - 2*x**2 + 2. Let d(j) = -b(j) - 5*g(j). What is the third derivative of d(p) wrt p?\nAnswer: 1740*p**2 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 255*b**3 + 245*b**3 - 853*b**3 + 347*b**3.\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 40 = -q - q, 3*k = 3*q - 36. Let b be (-4)\/(-6)*(-6)\/k. What is the closest to b in -0.3, 2\/11, -2\/17?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -721 + 1855. Does 10 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9*(-50)\/60)\/(45\/120).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 9:33 AM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/22, -4\/7, -0.11?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 20378, 19752, 19128, 18506?\n\"Answer: c**2 - 629*c + 21006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 - 9 + 9 + 18 + 16 + b - 6*b.\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 4 + 6 = 0. What is the tens digit of p\/(1\/66) - 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2 - 2*p + 17. Let t(y) = 5*y**2 - 2*y + 52. Let j(c) = -3*h(c) + t(c). Suppose 3*d + 0*d + 4*n = 18, 2*n = d - 6. Determine j(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*g - 31. Calculate the least common multiple of g and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 2*r - 22. What is the remainder when r is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qiy. Give prob of picking 3 i.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -300*s + 595*s - 294*s. Let a(k) = 6*k**2 - k**2 + 5*k**2. Determine u(a(n)).\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-286)\/(-10) - 15\/25 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 51943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 167671, 167677, 167685, 167695, 167707, 167721?\nAnswer: 167737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -22*d + 20*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = w - u, 25*u + 148 = -31*w + 21*u for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**3*l - 2*d**3 + 1267*d**2*l - 527*d**2 - 1880*d*l - 4*d - 276 wrt d?\nAnswer: 12*d*l - 12*d + 2534*l - 1054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1260)\/2352 - -1*(-1)\/(-4). What is the third smallest value in 2, -9\/5, l, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 4*q**3 - 17*q**2 - 20*q + 31. Give n(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000856407 to six dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence la when two letters picked without replacement from {a: 4, b: 1, l: 8}.\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 10) to base 15\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 6:27 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 348124.\nAnswer: 2, 7, 12433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43096 - 3060 = 1382*b + 2098*b + 40844 for b.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of 2*w**2 - w - 29. Let r(f) = 17*f - 8. Let d(k) = -17*k + 9. Let c(n) = 3*d(n) + 4*r(n). What is -2*c(t) + 9*q(t)?\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3037 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 300*n - 287*n - 67*n + 150*n + 0.\nAnswer: -504*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x**4 - 1020*x**3 + 78030*x**2 - 2653020*x + 33826005 = 0.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 3*y - 272 = 2*y, 5*y - 256 = -4*s. What is the remainder when 202 is divided by s?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2*t + 0*t = 0. What is the derivative of -9*z + 13 + 2*z + 0*z + t wrt z?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-77056)\/(-16128) - (2 + 3)\/1. Which is the nearest to 2.1? (a) s (b) 5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2770021?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 84746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/132 and 55\/26?\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -33617 divided by 47\nAnswer: -33617\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 41.33889426 to the nearest integer.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5031655135 - 1?\nAnswer: -5031655136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84906 is divided by 318?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 + 443*f**3 - 445*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112589 is divided by 22516?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-nine halves of a microgram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -488491.78 less than -8?\nAnswer: 488483.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 216 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 37\/2 of a hour?\nAnswer: 66600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50 - 8)\/11256*8.\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-24)\/(-9) + 14\/(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - -11 - (7 + -30)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-22) + 300\/198. Let b = 31 - 32. What is the closest to -2\/5 in b, 0.5, h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.094 - -0.2.\nAnswer: 0.106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hu when two letters picked without replacement from byyhahhoahyuyo.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.00307 and 7858.3.\nAnswer: 7858.30307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(((-1)\/105)\/(31\/9)). Let g = s - 1085. Factor g + 2\/9*n**2 - n**5 + 0*n - 16\/9*n**4 - 5\/9*n**3.\nAnswer: -n**2*(n + 1)**2*(9*n - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*d + 12*d + 28*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*f**3 + 212*f**3 - 199*f**3 - 338*f**3.\nAnswer: -460*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2347233456?\nAnswer: 2, 3, 48900697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -i**5\/60 + 7*i**4\/24 + i**2\/2 - 2. Let y(z) be the second derivative of r(z). What are the prime factors of y(6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 6:11 PM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 28.15743ug?\nAnswer: 0.00000002815743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5532 + 6302. Calculate the greatest common factor of a and 700.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 520269863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 138696?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y**3 - 19*y**3 + 0*y**3 + 9*y**3.\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18652.00007949 - 18652. What is c rounded to 6 decimal places?\nAnswer: 0.000079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7252*w - 14488*w + 7234*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 229092 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(252) + 5*(sqrt(252) + sqrt(252) + 1) - sqrt(252)) + sqrt(252) + 2 + (1 + sqrt(252))*-2 + sqrt(252) + (sqrt(252) + 0)*-2)**2.\nAnswer: -32306 - 960*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 926201, 1852429, 2778657, 3704885, 4631113?\n\"Answer: 926228*z - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 944?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4 = -41. Solve 2*h + h = k for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/12)\/(3\/(-81)). Let y = k - 7. Is y greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5150 and 100.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -216105.2 - -7.28241.\nAnswer: -216097.91759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*4 + sqrt(147) + -2)**2.\nAnswer: -124*sqrt(3) + 2887","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3456)*3 - sqrt(3456))\/(sqrt(8) - sqrt(512)*-3).\nAnswer: 24*sqrt(3)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - r + 0*r)*(r + 3*r - r) - 8*r**2 - 4*r + 6*r + 1 + 4*r**2.\nAnswer: -r**2 + 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3*c**3 + 1124*c**2 + 9*c - 13. Let u(t) = 4*t**3 - 1686*t**2 - 13*t + 19. Determine -7*n(q) - 5*u(q).\nAnswer: q**3 + 562*q**2 + 2*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 240*n - 1. What is the remainder when z(1) is divided by 10\/(-15) - 1092\/(-18)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*l + 1512 = 173*l. Calculate the remainder when 575 is divided by l.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 5*m**2 - 4*m - 12. Let j be a(6). Suppose j = -16*u + 20*u - 6604. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 101.6003 litres?\nAnswer: 101600.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5, 19, 65, 133, 223?\n\"Answer: 11*r**2 - 9*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -177 - -1650145.853.\nAnswer: 1649968.853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -45 + 19. Let b be (-10)\/15*-6*20\/(-120). Is b <= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/1353 + 4051\/10824. Let b(w) be the first derivative of j*w**2 + 1\/12*w**3 + 1\/2*w - 8. Suppose b(h) = 0. What is h?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1*sqrt(675)*4 - (sqrt(2187) + (sqrt(2187) - ((2 + sqrt(2187) + sqrt(2187))*1 + sqrt(2187))) - (sqrt(2187) + sqrt(2187)*-1)*4))**2.\nAnswer: 1044*sqrt(3) + 22743","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*n + 7, 0 = -m - 5*n + 70. Calculate the least common multiple of (-3)\/24 - 6\/((-240)\/965) and m.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -81*n - 14. Let j be o(-10). Suppose 4*l + 4*d = j, -582 = -3*l - 3*d + 5*d. Suppose 0 = 2*m + q - 66, -2*q - l = -5*m - 49. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + j. Let i(w) = -2*w**2 + 4*w. Let p be (-72)\/56 + 2\/7. Determine p*i(y) + 4*g(y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/36)\/(-2 - (-4)\/4)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4 + (sqrt(108)*-1 + sqrt(9)\/sqrt(3)*6)**2 + ((-1*sqrt(243) + sqrt(243))\/sqrt(9))**2*-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 218 and 29462591?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t**14*t)\/t*t**(-2\/19))**40)**43)**45 assuming t is positive.\nAnswer: t**(20433600\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 11:14 PM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -196821*a**4 + 431847*a.\nAnswer: -2361852*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*y = -4*r + 20, y + 15 = 3*r. Suppose 3*c - 5*l - 50 = 0, -c - 5*l + 0*l + 10 = y. Solve 5 = -5*j - c for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000072176 to 7 decimal places.\nAnswer: 0.0000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -84661*g**2*s**3 + g**2*s - 2*g**2 - 19*g*s + 34*g + 3*s**3 - s**2 + 21 wrt s?\nAnswer: -507966*g**2*s + 18*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - -3. Suppose -2*w = -2*j + 1 - 31, -5*w - a*j + 65 = 0. Does 7 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4376 and 623033.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*u + 5*u - 4*u)*(-u - 4*u + 4*u)*(-9 - 3 - 42)*(0 + 2 - 1) as q + i*u + m*u**2 and give m.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2589, -4 in ascending order.\nAnswer: -4, 5, 2589","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/(-21) + 2)\/((-155)\/((-815920)\/(-141))).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t**5 - 383988*t**4 + 1152028*t**3 + 2687940*t**2 - 5760072*t - 6912000 = 0. What is t?\nAnswer: -96000, -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m + i, i + i = 5*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -95, -4, -5, 3 in descending order.\nAnswer: 3, -4, -5, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -11 + 5 + -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeezeeeeezeeezeezeez. What is prob of sequence ez?\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(13\/2))**(37\/2)*(p\/(p\/p**(-33)))\/p**27 assuming p is positive.\nAnswer: p**(241\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2313*b**2 + 1085*b**2 - 8598*b**2 - 7369*b**2 to m*b + x + s*b**2 and give s.\nAnswer: -12569","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 133103 (base 4) to base 10\nAnswer: 2003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 46*x + 3. Let m be w(8). Let j = m + -347. Calculate the lowest common multiple of j and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w + 1. Let o(c) = 6*c**2 + 40*c + 52. Let v(h) = o(h) + 4*t(h). Let l(a) = 25*a**2 + 126*a + 224. Let i(f) = 2*l(f) - 9*v(f). Factor i(b).\nAnswer: -4*(b + 2)*(b + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**5 - m**5 + m**5 + (m - m + m**2)*(5*m**3 - 4*m**3 - 3*m**3) + 4*m**4 + 4*m**5 - 4*m**4 + (-4*m**2 + 3*m**2 + 0*m**2)*(-6*m**3 + 2*m**3 + 2*m**3).\nAnswer: m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 12:27 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4241995 is divided by 229?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 7 - 3. Calculate the remainder when 6*(-1)\/(-2)*(-364)\/(-12) is divided by a\/((-1)\/(-92)*4).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 + 4 + 7 + (-7 - 14)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 56*(-12 + (-524)\/(-8)). What is the highest common factor of y and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -9*i**2 + 4*i + 9. Let h = 48 - 57. Let x(f) = -18*f**2 + 9*f + 17. Let a(l) = h*v(l) + 4*x(l). Differentiate a(w) with respect to w.\nAnswer: 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/2 + (-55)\/(-10). Suppose -4*v + 16 = -n, -5*v = -g*n + 3*n - 17. Suppose 2*k + n*a + 2 = 0, 4*a - 5 = -7*k + 4*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g**2 - 56*g + 212. Let w be d(15). Solve 18 = -56*u + w*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -348 - 42 = -13*m. Suppose -m - 22 = -4*u - 4*k, 4*k + 83 = 5*u. Suppose u*s - 7*s = -4096000. What is s rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -144*0.5561\nAnswer: -80.0784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/3)\/(2\/(-108)))\/((-1482)\/741)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 1 - 2)*(2 - 6*k - 2)*(-305*k**3 - 18*k + 311*k**3 - 4*k**2 + 21*k) to the form d*k**4 + h*k + n*k**3 + v + j*k**2 and give j.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 628 (base 9) to base 14.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*s**4 - 25*s**3 + 5*s**2 + 10*s.\nAnswer: 5*s*(s - 2)*(s - 1)*(2*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 15) to base 13\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -0*j - 30. Suppose -j = -0*k - 3*k. Find the third derivative of u - u + 4*u**k - u**3 + 0*u**2 wrt u.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**3*k*v**3 - 850*b**3*k - 19*b**2*k*v**2 + b**2*k*v + 6*b*k*v**3 + 3*b*k + k*v**3 wrt b?\nAnswer: 12*k*v**3 - 5100*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, 4460, 0.2, 3\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14894 is divided by 2962.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nuznzzzznznnnznzzznn. Give prob of picking 3 u.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, w: 1, i: 2, q: 5, u: 2, c: 1}. What is prob of sequence uu?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20\/(-21) + (-3)\/(105\/(-10)). What is the second smallest value in -2\/11, f, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7664.\nAnswer: 2, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 1. Let n = -7 + 11. Let m(t) = t**2 - t - 3. Suppose 10 = 3*k + 4*z, z + 2 - 1 = k. What is k*m(q) + n*c(q)?\nAnswer: 2*q**2 - 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2712\/505 + 3\/101. Let a = 333 + -47607\/143. Find the common denominator of p and a.\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ujrr when four letters picked without replacement from crnnrjunn.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 + -3. Suppose 5*i = i + p. Suppose -r = 4 - i. Which is greater: r or 2\/17?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -7 in increasing order.\nAnswer: -7, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and -4222115.538.\nAnswer: -4222113.538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - 3) + 1 - (-10 - -3 - (-41 - -39)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 21 = h - 6*h, -4*j - 4*h - 12 = 0. Let f(b) = -2 - j + 1 - b - b. Determine f(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*i = -118*i - 2632 + 208 - 2841 for i.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -360 + 3266. What is the hundreds digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/21, 0.1, -12 in descending order.\nAnswer: 0.1, -2\/21, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 371 - 368. Suppose -i*a - 5*s = -235, 34*a - 239 = 31*a - s. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((5*1)\/(80\/48)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 276 and 1272?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q - 24 = 6*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of 5\/3*v**3 - 8 - v**2 + 2*v. Let p(d) = -6 - 8*d**2 - 7*d**2 + 11*d - 11*d**2 - 5. Give -11*f(a) - 2*p(a).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -34\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*w - 19*w + 18*w + 65 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 183227 + -74364. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.127711ug in milligrams?\nAnswer: 0.004127711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 3*a - 162 = 0. Is 54 at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -381*x. Let u(n) be the third derivative of -n**8\/10080 - n**5\/4 - 3*n**2 - 21*n. Let f(a) be the third derivative of u(a). Give f(o(z)).\nAnswer: -290322*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - f + 34. What is the units digit of t(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3162149990)\/(-15) + -3 + (-44)\/(-12). What is a rounded to the nearest 1000000?\nAnswer: 211000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**5\/5 - 16*u**4 - 666*u**3\/5 + 2772*u**2\/5 = 0.\nAnswer: -22, -21, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 3*d + 38, b - 70 = -b - 5*d. Suppose 8*a - b = 3*a. Suppose r = -r + 3*q - 2, 0 = 5*r + a*q - 20. Let f(p) = p**2 - p. Determine f(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7148, -31155, -72018, -129737?\nAnswer: -204312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2582 is divided by 516.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a decade in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4\/7 (b) -2\/25 (c) 0.2 (d) -0.2 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w**2 - 6*w - 1. Let l(h) = -57*h**2 - 38*h - 9. Calculate l(d) - 6*u(d).\nAnswer: -75*d**2 - 2*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-7))**(-2\/21)\/(((h\/(h*h*((h*h**(-19))\/h)\/h))\/h)\/((h**(-1\/2)\/h)\/h)) assuming h is positive.\nAnswer: h**(-119\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {a: 2, f: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 88 - 59. Let p = g - 28.7. Which is smaller: p or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -391\/328 - -545567\/475272. Calculate the common denominator of w and -121\/966.\nAnswer: 2898","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12.6 + -9.62. Let g = 0.1 - 0.08. Let h = g + j. Which is smaller: 0.1 or h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 4 + 4. Let d(o) be the third derivative of 0*o**4 + 0 + 0*o**3 + 29\/60*o**5 + 0*o + 14*o**2. Determine v(d(y)).\nAnswer: -841*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/17 (b) -100 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(-1\/4)*(y**(-11)\/y)\/y assuming y is positive.\nAnswer: y**(-47\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 15, 701, 2051, 4065, 6743, 10085, 14091?\n\"Answer: 332*u**2 - 310*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0, 1\/3, 0.1, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 2*r + 1. Let f be 65\/6 + (-12)\/(-72). Suppose -f*s + 10 = -s. Let m(o) = 10*o - 8. Let p be m(s). Determine h(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -7. Let w = h + -2.08. Let j = w - -0.08000006. What is j rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.252493242 rounded to 5 decimal places?\nAnswer: -0.25249","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 779854?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1505 = 2*r + 3*h, -85*h + 88*h + 2265 = 3*r. Calculate the highest common divisor of 78 and r.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 + -23. Suppose 0 = 3*x - o - 6. Is 5 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1124 is divided by 1095.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*o = 8377 + 9383. Does 12 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -20331 and 0.4.\nAnswer: -8132.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.27462g in milligrams?\nAnswer: 89274.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {x: 5, c: 7}?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + h**2)*(-31930*h**2 + 37304*h - 37304*h).\nAnswer: -31930*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3103962?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 * -957.\nAnswer: -11484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 111021895?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 94 - 84. Suppose 5*c + 0*c - 65 = 0. Let z = c - n. What is the nearest to -2 in 4, z, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 4 - (-4 + -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 8:18 AM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - 3*l + 9. Let d(g) = -2*g**2 - 2*g + 9. Determine -2*b(s) + 3*d(s).\nAnswer: -4*s**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 5*j - 119, 3*i + j - 28 = -109. Let z be 67*2\/i + 5. Which is the smallest value? (a) z (b) -4 (c) 3\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**2. Let h(x) = 54 + 3 - 105912*x**2 + 106026*x**2. Determine h(s(w)).\nAnswer: 456*w**4 + 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 3:23 PM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u**3 + 4*u**2 - 2. Let s be l(-3). Suppose -s + 43 = x. Let g = -362\/5 - x. What is the closest to g in 2, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50 + 32320036.\nAnswer: 32319986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16101 is divided by 1340.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 1\/13 (b) -0.7 (c) -0.1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108)\/((sqrt(8)*-2)\/sqrt(2) + sqrt(4)) + -3 - (5*(sqrt(54)\/sqrt(2) + -2) + 5)**2.\nAnswer: -703 + 147*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -13899742.\nAnswer: -2\/6949871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbwbbbbwbbsbbb. What is prob of sequence bsw?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 37410, -2\/7, 4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 84109097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and (-10)\/55 - (0 - (-996)\/(-33))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - (12\/3 + 2). Let v = a + 11. What is the remainder when 14 is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 596 = 410. Suppose 2*k - 4*c + 1262 = 7*k, -w = -4*k - 2*c. What is the smallest common multiple of k and 4?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/16)\/(1\/(-6)). Let b = 3 - -1. Solve -f - g*f = b for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -90951.083 rounded to the nearest one hundred?\nAnswer: -91000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 4*x**2 + 2*x - 6. Let q be p(4). Let j(f) be the second derivative of 0*f**3 + 2*f + 0 + 0*f**5 + 0*f**q + 1\/15*f**6 - 1\/6*f**4. Factor j(d).\nAnswer: 2*d**2*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 684708.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 246 - 237. Suppose -2*w = -2*a - 5*w + 27, -a - 3*w + u = 0. Let c(j) = 2*j**2 - 3*j - 2. What is the lowest common multiple of c(4) and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 311789 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 126.37+-0.5\nAnswer: 125.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 20*m**2. Let c(a) = 68*a. Calculate p(c(k)).\nAnswer: 92480*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 5*y = -25 + 14, -4*t = -3*y - 11 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = r - 11. Is 26 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.008 (b) -4 (c) -111\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -456536, -913079, -1369624, -1826171, -2282720, -2739271?\n\"Answer: -g**2 - 456540*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 1920*o**2. Let w(b) = -900*b. Calculate d(w(j)).\nAnswer: 1555200000*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 0 - (3 + 1 - -4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 95 - 93. Suppose -y = 3*j + 3*y + 17, -i*j = 4*y + 18. Solve -4*a - j = 19 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 5*g**5 - 6*g**3 + 16*g**2 + 6. Let d(l) = -5*l**5 + 7*l**3 - 17*l**2 - 7. Let o(t) = -7*a(t) - 6*d(t). Find the third derivative of o(i) wrt i.\nAnswer: -300*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 1)*(93*z + 78*z + 25*z) - 1 + 1 - 4*z to l*z + n and give l.\nAnswer: -396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 84840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6962?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - g + 2. Let o be n(0). Suppose -6 = -3*c + o*k + 5, 0 = -c - 3*k. Suppose 0 = -c*i + 5*i - 18. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -2*t + 399, 2*o + 25 = 5*t + 310. Calculate the highest common divisor of 15 and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + 5*t - 88. Calculate p(-18).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8949130, -17898264, -26847398?\nAnswer: -35796532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 12*g**2 + 15*g - 51. Let o be i(-10). Let u be (6\/(-24))\/(-5*o\/60). Let y(s) = -7*s. Let h(c) = -7*c. What is u*h(b) + 2*y(b)?\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**2 - 3*z. Let g be u(-2). Suppose -g*n + 10*n = 20. Is 8\/(-12) + n\/((-15)\/1457) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - 2*i - 5. Let j(v) = v**3 + 4*v**2 + v - 2. Let a be j(-2). Let p be g(a). Let f(b) = -2*b + p*b + b. Let z(o) = 2*o. Determine f(z(r)).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -171 (base 12) in base 14?\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bzzz when four letters picked without replacement from {b: 3, z: 13}?\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppsuusuursuuscpbuc. What is prob of sequence cr?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 102636191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(190)\/sqrt(5) + sqrt(38) + sqrt(228)\/(sqrt(12)\/sqrt(2)))\/(1*(sqrt(288) - (sqrt(288) + sqrt(288)*2))*1).\nAnswer: sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -172487?\nAnswer: -51746.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -5*y - 107, -37 = -q - 3*y + 4*y. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 8743 and -4?\nAnswer: 8747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0 and -3.158211118168?\nAnswer: 3.158211118168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**3 + 6*l**2 + l + 2. Determine y(-4).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 plus 120660998177.75?\nAnswer: 120660998164.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qafffxrqqqerfaaaqfaf. What is prob of sequence erx?\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 2, 0.\nAnswer: -6, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 5:50 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1101779 and 4494.\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1099\/2442 - -19\/66. Put 1, i, 1\/3 in ascending order.\nAnswer: i, 1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -44 - 1?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**5 + s**5 - 3*s**5)*(1 + 0 + 1).\nAnswer: -8*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 0 - 345\/2*q**2 + 0*q + 37*q**3 - 1\/2*q**4 = 0.\nAnswer: 0, 5, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = v - 85, -16*v + 458 = -11*v + 4*s. Calculate the greatest common factor of v and 8225.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 3*v - 267, -5*v + 3*c = -270 - 191. Let k = v + -65. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 2, -1\/24, 1, -11, 734?\nAnswer: 734","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2444185600 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - w + 3 + 119, -5*r + 2*w + 624 = 0. Let s = r + -82. Is 12 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*x**2 + 43*x**2 - 148*x**2 + 53*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(255)\/(6*sqrt(15)\/sqrt(3)))\/(sqrt(18)\/((sqrt(36) - (sqrt(108)\/sqrt(3) + sqrt(36)))\/sqrt(6) - sqrt(6))).\nAnswer: -sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 995\/3 - 4981\/15. Put -0.54, 1\/4, l in decreasing order.\nAnswer: 1\/4, l, -0.54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(171) + (sqrt(171) - -4*((sqrt(171) - sqrt(171)*1) + sqrt(171) - sqrt(171))) - sqrt(171)))\/(sqrt(90)\/((sqrt(60)*2)\/sqrt(6))).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 1169*x - 6911. Let c(k) = 2*k**3 - 1. What is the remainder when a(6) is divided by c(3)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 6*s**2 - 7*s - 7. Let j be t(-5). Suppose -372 = j*b - 6*b + 3*v, 0 = -2*b - 5*v + 220. Let g = b - 76. Is g a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (((-6)\/4)\/(-3))\/((-1665)\/1332). Let c be (-4)\/6 - 10\/(-12). Sort a, 4\/3, c.\nAnswer: a, c, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -0.11 (b) 0.2 (c) 1\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wxx when three letters picked without replacement from {l: 6, w: 3, x: 7, v: 1}?\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -806a (base 11) to base 5\nAnswer: -320344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (90\/(-90))\/((9\/27)\/((-6)\/(-99))).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -3. Suppose 0 = -q + p - 3*p - 5, -5*q = -4*p - 31. What is the nearest to -2 in q, x, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 657?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3635414230 to the power of 1\/4, to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/2 - (-3)\/(-8). Let f = 649.513 + -651.513. Let y = -0.43 - -0.03. What is the second biggest value in y, f, o, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 1099953.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -67 * 1.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/56 and 31\/50215748.\nAnswer: 703020472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*a = 1 + 7, 3*b - 9 = -3*a. Let z = b + -45. Let f = -26 - z. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44 + 48. Let p be (-386)\/m + 3\/6. Let v be (-2)\/1 - (p\/20 + 3). Is 11 at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42187664.\nAnswer: 2, 661, 3989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(156) + -1*sqrt(156))*-1)\/(1*5*sqrt(12)*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - (sqrt(68)*1*5 + sqrt(68)) - sqrt(68)*1*-5)\/((sqrt(48)\/sqrt(4))\/sqrt(3) + sqrt(20)\/(sqrt(15)\/sqrt(3))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1416 = -14*s - 338. Suppose -25 = -2*z + s. Does 4 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*m*t - 21*m + 4*t wrt t.\nAnswer: 2*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + d - 0 - 1, 0 = -d + 5. Sort w, 0, 4 in decreasing order.\nAnswer: 4, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -5 - (-6 - -1)) + (219 - 271).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 79, -14\/15, 0.3?\nAnswer: -14\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 2. Suppose x*z + 2*c = 28, -c + 48 = 5*z + 3*c. Suppose p + 3*s + 6 = -0*s, z = -3*p - 4*s. Solve -r + 6*r = p for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18909702 to the power of 1\/3, to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73789, -73794, -73801, -73810, -73821, -73834, -73849?\nAnswer: -73866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9806 and -3096?\nAnswer: -30359376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of -758 - -759 - -1*22809?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-6*-3*sqrt(13) - sqrt(13)) + (-4*(-1 + sqrt(13)))**2 + (sqrt(91)\/(sqrt(28)\/sqrt(4)))**2.\nAnswer: -15*sqrt(13) + 237","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 3*v - 40 = -50, -20 = 2*i - 4*v for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 789168 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/20)\/(-9*8\/120)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.81 - 5.6. What is s rounded to 1 dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1030*r**4 + 161*r**3*w**2 - 5522*r*w**2 + 175*w**2 wrt r.\nAnswer: 12360*r**2 + 966*r*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1 (b) 2\/11 (c) -1.765797 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 10*t - 1. Let x(h) = -h. Let o(z) = 2*z**2 + 18*z - 14. Let a be o(-10). Give a*x(u) + p(u).\nAnswer: 4*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 less than or equal to 1230?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -3. Let p = -5.8 - -4.8. Which is the closest to i? (a) -5 (b) -2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.4 (b) 18 (c) -14 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 369?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 1087956 and 1087626 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15597 or 15596?\nAnswer: 15596","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 9.3571755.\nAnswer: 28.0715265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7098 - -7097.999975642. Round x to six dps.\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 42*k + 4494. Let g be o(-107). Let x be ((-2)\/(-1))\/((-4)\/(-18)). Solve g = -x*j + 5*j + 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 757 + -756. Which is the third smallest value? (a) -3 (b) x (c) -12 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3254 at most as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -9) + (1 - -8 - (-1 + 20)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209695 is divided by 209642?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 168*d**2 - 5183*d - 593. Calculate v(31).\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 960\/180 + 10\/(-2). What is the closest to 1 in 2, a, 4.1, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 4. Let r = g + 13. Suppose -3*k - 11 + 38 = 0. What is the highest common divisor of k and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - 365?\nAnswer: -364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -52654000 to the nearest one million.\nAnswer: -53000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -96*a**2 - 37*a + 37*a in the form f*a**2 + h*a + i and give f.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.1115 + 3.8885. Which is the fourth smallest value? (a) 15 (b) -4 (c) -0.3 (d) t (e) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*l**5\/5 + 44*l**4\/5 - 184*l**3\/5 + 368*l**2\/5 - 352*l\/5 + 128\/5 = 0. Calculate l.\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44824080 divided by 8964816.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 648102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172 = 4*b + 4*f - 144, 3*f = -15. Is b a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 3*g = -0*g - 12, -1765 = -7*x + 3*g - 1801 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11176 and 484.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61422.41 tonnes to kilograms.\nAnswer: 61422410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/4 and 67\/344?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14\/5 in -0.2, -0.133, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**22*z)\/(z*z**(2\/15)*z) assuming z is positive.\nAnswer: z**(313\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of 2*d**6\/105 + d**5\/35 - 5*d**4\/21 + 2*d**3\/7 - 5*d. Factor a(h).\nAnswer: 4*h*(h - 1)**2*(h + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4501105621 to the power of 1\/3, to the nearest integer?\nAnswer: 1651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 4\/199 (b) 3\/2 (c) -34 (d) 0.3 (e) 8\/19 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-14))\/((-3)\/315*-20)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 107 (b) 0.5824 (c) 4 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -149256, -149255, -149254?\nAnswer: -149253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1 + sqrt(175) - (-2 + sqrt(175) + sqrt(175) + 1)**2) + -4.\nAnswer: -708 + 25*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-546)\/(-98))\/((-33)\/22)*-7.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - 3*l + 1. Let t be 1 + -4 + (-2 - -1). Let i be u(t). Let p = i + -55. Round p to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 201586 and 242?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l. Let q(b) = -62*b**2 - 5*b. Let d(k) = -k**2 + k. Let w(g) = 5*d(g) + q(g). Give c(w(x)).\nAnswer: -134*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 s when three letters picked without replacement from {j: 3, z: 6, v: 5, g: 5, s: 1}?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 4 = -f - 2*n, 4*f - 49 = -3*n. Let s be 12\/(-66) - (-112)\/11. Suppose -3*u = -5 - s. Solve 0 = v + 3*p + f, 5*v - 3*p = -u - 3 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z + 12. Let p(v) = v**3 + 12*v**2 - v + 1. Let m be p(-12). List the prime factors of f(m).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 272 = -3*y, -4*y = -k + 4*k - 361. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/12 and (-6)\/(-14 - (-3839)\/352)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1790137*a**2*g**3 + a**2*g**2 - 3*a**2 - 2*a*g**2 - 11*a - 108 wrt g.\nAnswer: -10740822*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -10*(-1)\/((-30)\/(-12) + 0). Which is the closest to 0.5? (a) m (b) -0.5 (c) -0.4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 226315 or 226314?\nAnswer: 226314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5008 + 21639. What is the thousands digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4783 + 58*l - 83*l + 4783.\nAnswer: -25*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138 - 62*f**3 - 58 + 91.\nAnswer: -62*f**3 + 171","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwy when three letters picked without replacement from {w: 10, r: 1, y: 1, n: 2}.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -45947*p**3 - 42004*p**2.\nAnswer: -275682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 6*d - 2. Let n be h(1). Solve -3*k + n + 8 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**2 + 37*v + 739. What is u(31)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-8)*d**2)\/(d*d*d*(d\/(d**(-2\/11)*d))\/d*d)**45 assuming d is positive.\nAnswer: d**(-1641\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.23939*-2\nAnswer: -0.47878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43\/60 or 2?\nAnswer: 43\/60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ap when two letters picked without replacement from {a: 2, p: 1, x: 1, l: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6 + 96\/9)\/((-4)\/(-6)). Suppose -o*x - 12 = -3*x. Put 3, x, -2, 0 in ascending order.\nAnswer: x, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12091 - 16764. Is c >= -4673?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*(2 + (-36)\/16). What is the closest to 2 in 0.3, -2\/13, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 9*g**2. Let p = -41 + 29. Let x be ((-8)\/p)\/((-2)\/6). Let r(b) = -2*b - 2. Let w(z) = 4*z + 5. Let q(s) = x*w(s) - 5*r(s). Calculate q(f(l)).\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(633\/90 + -7). Let b(q) = -q**3 + q**2 - 5. Let y be b(5). Let s = y + d. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 4*o = -28, 148*v - 146*v + 14 = 2*o. Let c(i) = -6*i + 6. Let y(k) = -5*k + 5. Let f(a) = -4*c(a) + 5*y(a). Calculate f(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 50 = -10*g, 0 = -2*q + 2*g + 652 - 656 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 10, h: 4, e: 1, s: 2}. What is prob of sequence se?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**7*c)**38\/(c\/c**(-6\/7)*c\/(c\/(c\/(c\/c**10)*c))))**(4\/29) assuming c is positive.\nAnswer: c**(8152\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.12 + 5.12. Let c = j + -4.9. Is -1\/6 at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 927555339 to the nearest integer?\nAnswer: 975","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1340 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 118094 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(1008) - (-1 + sqrt(1008)) - sqrt(1008))*5)**2 - (sqrt(1008) - (-2*sqrt(1008) + sqrt(1008)))*3).\nAnswer: -100900 + 2688*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2291236 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1274*d - 1278*d + 20 = 0. What is the third biggest value in 0.3, -0.065, d?\nAnswer: -0.065","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -z**3\/2 + z**2 - 82*z - 1. Suppose 0 = t + 3*t - j - 33, -5*t = -4*j - 33. Let g = t - 15. Give y(g).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of 7*n**4\/12 + 396*n - 1. Let x(o) be the third derivative of o**5\/4 - 14*o**2. What is x(m(r))?\nAnswer: 735*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14264 + 237?\nAnswer: -14025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14 - 19 - ((-196)\/44 - 0) and -2\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by -18\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 37, -11, 3, 8 in decreasing order.\nAnswer: 37, 8, 3, 1, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 4*o**2 - 2*o - 3. Suppose 5*d = 3*g - 120, -3 = 2*g - 13. Let w be (-2)\/(-8) + d\/4. Is 12 a factor of x(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18987953387 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 1761*m + 1762*m = -3, 3*p - 2*m = 1 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 + 76366*f + 38500784.\nAnswer: 2*(f + 511)*(f + 37672)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*82309552.\nAnswer: -8230955.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2671785 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -v**5*w**3 + 42*v**4*w**3 + 4*v**2*w**3 + v**2 + 17*w**3 wrt v?\nAnswer: -60*v**2*w**3 + 1008*v*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.01182 - -25.01182. What is the third biggest value in -3.9, u, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1424 divided by -712?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-26)\/(-8))\/((-2)\/(-8)). Let u be -1 + 1 - b*10. Let k = -86 - u. Calculate the remainder when k is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qacgl. What is prob of sequence lq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.794588 and -298.\nAnswer: -298.794588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4551\/653 in -1, -4, -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 26578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -12*f + 20. Let c(l) = 1. Let j(z) = -z - 2. Let p(n) = f*j(n) + 2*c(n). Calculate p(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 494*b - 313 - 306 + 616.\nAnswer: 494*b - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*d**2 + 5100*d - 1553264 = 0. Calculate d.\nAnswer: 503, 772","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 61 and -52.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 447926?\nAnswer: 2, 223963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-6) - (-6)\/4. Let r(q) be the first derivative of -232*q**4 + 231*q**4 - 17 + 2*q**c - 8. Determine d so that r(d) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-80)\/24*(-6)\/30.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -1. Let p(m) = -16*m - 12. Let z(c) = 2*c - 7. Let x be z(4). Let q(o) = x*p(o) + 3*t(o). What is the first derivative of q(w) wrt w?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.083928 to three dps.\nAnswer: -0.084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*a + 3*a = 29, -4*t - 89 = 5*a. Let s = t + 14. Let u be s*-5*(-570000)\/9. What is u rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -6 + (2 - -4) + 37*4.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3886*m - 260*m**4 + 1692*m - 3 - 41*m**2 + 260*m**4 - 30*m**5 + m**3 wrt m?\nAnswer: -600*m**3 + 6*m - 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002207532681 rounded to seven decimal places?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - (sqrt(117) + (sqrt(117) + 2 - sqrt(117))) - sqrt(117))**2 + -1)*1.\nAnswer: 12*sqrt(13) + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5 = 1. Let c(o) = 2 - 2*o**2 + 3*o**f + 0*o + 3*o. What are the prime factors of c(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*p + 4*u + 53 - 40, 5*p - 50 = -7*u for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -134297264, -268594530, -402891796, -537189062, -671486328, -805783594?\n\"Answer: -134297266*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 213*d + 22*d**2 - 433*d + 217*d + 28 - 81 + d**3. Give t(-22).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 4, -75, -5171, 3 in descending order.\nAnswer: 4, 3, -14, -75, -5171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -121663 times -0.1?\nAnswer: 12166.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14866828*c**3 - 32405407*c**2 wrt c.\nAnswer: 89200968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(1872))*-4)**2 + (sqrt(1872)*-4 + -4 - sqrt(1872))**2)*-6.\nAnswer: -460704 - 5184*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 302*r - 307*r = -15, -2*x = -5*x + 15*r for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by 29?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/8 in 1\/5, -416, 1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -5 - (-57 - -68)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.37 + -0.37. Let k = 1 - 3. Which is the third biggest value? (a) 0.5 (b) k (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 3*j - 9, 2*s - 6*j = -3*j - 9. Suppose s = 3*i + 2*b + 1, -b - 2*b + 2 = i. Sort i, 39, -3 in ascending order.\nAnswer: -3, i, 39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 9:27 AM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 55 + 41. Is 12 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s = -486 - 5058. Calculate the greatest common divisor of s and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w - 1764*w**3 - 87*w - 63*w**4 + 1212*w**4 - 22*w + 756*w**2 + 223*w**4.\nAnswer: 4*w*(7*w - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -4, -3, 25, -731?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -818*o**2 - 27*o - 19. Give w(-1).\nAnswer: -810","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 5*g + 3. Let r(t) = 17*t**2 - 4735*t. Give b(r(c)).\nAnswer: 85*c**2 - 23675*c + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-9) + ((-90)\/(-24) - 3).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*b**4 - 38*b**3*g + 2*g - 26 wrt b?\nAnswer: 12*b**3 - 114*b**2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of 1187*f**5\/10 + 5*f**4\/4 - 3*f**3\/2 + 2*f**2 + f + 34. Let s be r(-12). Round s to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72085657421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*y - 73938 - 4174. What are the prime factors of y?\nAnswer: 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p. Let s(x) be the third derivative of 17*x**8\/20160 + x**5\/30 - 16*x**2. Let w(a) be the third derivative of s(a). What is b(w(g))?\nAnswer: -34*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 16\/11, -4, 4.4, -112 in ascending order.\nAnswer: -112, -4, -0.4, 16\/11, 4.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2101 = 5*k - 3*s, -5 = -2*s + 1. Let j = 699 - k. Let v = j + -156. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -89 + 649. Let y = 2524 + -2523. Is y equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.43871 and 51.4.\nAnswer: -22.549694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36 + 36.2. Let x(f) = 11*f**2 + 0*f - 12*f**2 - 1 + 4*f**3 + f**3 + 2*f. Let r be x(1). Which is the closest to 0? (a) -1\/7 (b) h (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rwrgrguwgrwrwg. What is prob of picking 2 w and 1 r?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence um when two letters picked without replacement from mjjjptzuptjjmmm?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*k + 96 = -164. Let m be (-13)\/(-4) - (-2)\/(-8). Factor 0*b**4 + b**k - m*b**4 + b**4.\nAnswer: -b**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18*o**2 - 1214*o - 19018 wrt o?\nAnswer: 36*o - 1214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.11 (b) -0.01 (c) -5 (d) 2\/9 (e) -3\/2 (f) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9863 + -6761. Is 33 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wiiwbxtbibs. Give prob of sequence tb.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: a (base 13) to base 8\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 317*j + 16 = 333*j. Let p = -55 - -105. Let q = p - 46. Calculate the smallest common multiple of q and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82207.77l in millilitres?\nAnswer: 82207770","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 12*b**2 + b. Calculate j(-12).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.75441577 take away -4?\nAnswer: -2.75441577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5\/8 + 9\/8. What is the closest to -0.4 in -4\/9, y, -5?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -104656 (base 7) to base 9\nAnswer: -27351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ca (base 15) to base 11\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -85 + -49 + 15 + -1 + 35\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1232*-8\nAnswer: 9856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5837 - -24737. What is the thousands digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28 + 45 + n**2 - 25 + n**2 + 0 + 0 + (4*n**2 - n**2 - 2*n**2)*(-1 + 2 + 1) + 2*n**2 + n**2 - 5*n**2.\nAnswer: 2*n**2 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - 8*t - 15. Let m be w(-12). Let p be 57\/(-418)*2 - (3 + (-2804)\/(-44)). Is p greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -421, -416, -411?\nAnswer: -406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 19 = 5*f, 2*f - 6*f = 5*h + 7 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 30*a + 496. Suppose -97 = -7*l + 3*l - 5*p, -p - 143 = -5*l. Calculate the remainder when b(-13) is divided by l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 51\/(-34)*(-4808)\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -10*l - 90. Calculate t(-6).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1ba (base 14) to base 3\nAnswer: 111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + x - 55. Let k = x - 4. What is the remainder when 19 is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/16599 in 5, -4\/5, -0.6, 9, 4\/5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1947351547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 5*a - 453, -y = -3*y + 5*a + 219. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -993176, -993166, -993156, -993146?\n\"Answer: 10*n - 993186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of -y**6\/80 + 13*y**5\/5 - 2597*y**4\/16 - 2809*y**3\/2 - 5*y**2 - 98*y. Factor i(f).\nAnswer: -3*(f - 53)**2*(f + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 4*w**3 + w**2 + w - 1. Let j be z(1). Suppose -j*p + 26 = 1. Which is the closest to 1\/3? (a) p (b) -1\/8 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*k**3 + 5*k**3 + 2 - 3 + (k**2 + k**2 + 0*k**2)*(-3*k + 0*k + 2*k) to the form j*k**3 + a + o*k**2 + d*k and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1416775 or 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1022113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 6. Let k be (15 - (33 - 16)) + 14\/1. Solve k = -b*j + 8*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 11*j**2 + 23*j. Let h(o) = -5*o**2 - 12*o. Let q(f) = 6*b(f) + 11*h(f). What is the second derivative of q(z) wrt z?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*h + 3*h - 5*m, 4*h - 2*m - 4 = 0. Let n be 2 + -2 - (h - 4). Is 1117\/(n\/(-3) - -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-10542)\/2259)\/(2\/(-45)). Let g be 2 - (1\/1 - 0). Let r be 32 - 1*2\/g. Calculate the greatest common divisor of q and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l - 3*l + 24. Suppose 23 = m + l. Suppose 5 = 5*z, -2*p + 3*p + 2*z = 77. Calculate the greatest common divisor of m and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 576.31+0.4\nAnswer: 576.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of -s**6\/30 - 53*s**5\/3 + 37*s**2 + s. What is b in x(b) = 0?\nAnswer: -265, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 3*c + a - 6*a, 2*c + a - 31 = 0. Solve -4 + c = -3*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.754 - -0.046. Let p = a - -0.2. Let f = p + -2. Which is bigger: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2984999033 to the nearest integer?\nAnswer: 54635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1063 (base 16) to base 12\nAnswer: 2517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of -i**7\/840 - i**6\/72 - 7*i**4\/24 - 61*i**3\/3 - 8*i - 2. Let s(c) be the second derivative of j(c). What is s(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, -11, 4 in descending order.\nAnswer: 36, 4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -200?\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - h**2 - h + 1. Let k(z) = -17*z**2 - 20*z**2 + 8*z + 45*z**2 - 8 + 6*z**3. What is -k(a) - 8*l(a)?\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 188843401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*u + 17*u - 495 = 0. What is the remainder when 147 is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -41, -18, 15, 64, 135, 234, 367, 540?\n\"Answer: i**3 - i**2 + 19*i - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.37023524 and -146?\nAnswer: 145.62976476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(26) - sqrt(26))*5 - sqrt(104)*-2)\/(2*sqrt(2)*6 + sqrt(18)\/(sqrt(36)\/sqrt(4))).\nAnswer: 4*sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*a + 763 = 882 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20030 - 3655?\nAnswer: 13042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -6558915\/8 and -819863 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 0*g + 18 = -r, -4*r - 12 = -4*g. Let x be 0 + 2 + 1 + -1. What is the second derivative of i - 2*i**r + i**x + i wrt i?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 37 (b) -3\/4 (c) -2\/5 (d) -50 (e) -3 (f) -0.73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -0.1034, 22\/111 in increasing order.\nAnswer: -0.1034, 22\/111, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -r**4\/16 - 133*r**3\/2 - 53067*r**2\/2 - 4705274*r - 2378. Factor q(a).\nAnswer: -(a + 266)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-7) + 576\/63. Solve 15 = 4*k - j*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3\/5, 5\/2, 3, 2.8?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(((b\/(b*b\/b**5))\/b)\/b))**(8\/17) assuming b is positive.\nAnswer: b**(-8\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2233 is divided by 59?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(7667\/(-66))\/41.\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of 1\/4*v**4 + 2\/9*v**3 + 0*v**2 - 1\/18*v**6 + 0*v - 3 + 0*v**5. Let k(b) = 0. What is b?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 251856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c + -236?\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 5, p: 11}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 694520 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 685742377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -4*r**3\/3 - 3*r**2\/2 - 8. Calculate z(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3*c - 13. Let q be z(-5). Suppose -q*k = -6, 2*k + 731 = 5*w + 4*k. List the prime factors of w.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 5:02 AM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 0.3, -3714, 4, 6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 577, 1174, 1867, 2704, 3733, 5002, 6559?\n\"Answer: 8*m**3 + 541*m + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1263 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 499626 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*q - 5*q + 127 - 247 + 122.\nAnswer: 3*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -242\/5*h**2 - 8\/5 + 88\/5*h = 0?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 2*w - 2*w**2)*(-14 - 2*w + 14) + (3*w**2 + w**2 - 2*w**2)*(-3*w + 1 - 2*w + 6*w).\nAnswer: 6*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkykkcykfcyy. What is prob of picking 3 k and 1 c?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 25 - 6a657?\nAnswer: -6a632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i - 13. Suppose 87 = -12*x - 33. Give y(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 smaller than 122486\/795?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3242 + -13?\nAnswer: -3255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 130 and 78?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 12:18 AM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**2\/7 - 5183890*h\/7 - 31103412\/7 = 0 for h.\nAnswer: -6, 2591951","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of 5*i**3\/3 - 235*i**2\/2 + 450*i - 736. Suppose c(l) = 0. What is l?\nAnswer: 2, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*s + 2*n + 52 = n, -26791*n + 26786*n = 4*s + 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 151*y**4 + 2*y**3 - 88*y**2 - y - 2. Let b(j) = -2*j**3 - j**2 + j + 2. Let r(u) = -b(u) - t(u). What is the third derivative of r(k) wrt k?\nAnswer: -3624*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132 = -2*s + 35*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1 + sqrt(605) + 1 - ((sqrt(720) + -4)*-3 + 3)**2.\nAnswer: -6705 + 1091*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -1166*c**5\/5 - 250*c**2 - 2*c - 1174. What is the second derivative of d(v) wrt v?\nAnswer: -13992*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, 2\/19, -17, 0.0632, -3\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/127983 and 41\/11646453.\nAnswer: 11646453","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -12 + 728\/(-132)*(-11)\/12\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 48 = 11*k. Suppose -4*u + 0*u = 4*a - 528, 4*u = k*a - 520. Suppose 6*b + 949 + a = 0. Round b to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + i + 16807 = 0, 5*i = -334 + 359. Is b a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 242 - 243. What is the second biggest value in 3, d, -3\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -33*s**3 - 3*s**2 - 18*s - 14. What is m(-1)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -436607, -436605, -436603, -436601, -436599?\nAnswer: -436597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/(-18) - (-8)\/6. Suppose -p*g = g. Which is bigger: g or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43\/2 + 22. Let b be 35\/30*(-19)\/7 + 4. Let d = x - b. Are d and 6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -4*b - 67, -2*b + 6*b + 82 = 2*g. Let j = b + 31. Is 12 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1374\/7 - -197. Let h = -100 - -102. Which is the second biggest value? (a) v (b) -3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*f + 989 - 1541 - 6*f in the form u*f + w and give w.\nAnswer: -552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-191)\/((1\/(-5))\/(2 - 1)). Let a be ((-2)\/(-3))\/(b\/315 - 3). Is a > 218\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 1:00 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 - (150\/18 + -3). Factor 2\/3*t**4 - j*t**2 + 0*t + 0*t**3 + 0.\nAnswer: 2*t**2*(t - 1)*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1423*r + 661 + 285 + 533 + 148*r - 189 wrt r?\nAnswer: 1571","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 28.07543 and -8282.1?\nAnswer: 8310.17543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jypr when four letters picked without replacement from {r: 3, u: 1, p: 2, y: 8, j: 1, h: 3}?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -55?\nAnswer: 5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + 10*q + 3. Give d(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/7)\/f*f\/(f*f**2\/f))\/((f\/(f*f\/f**(-7)*f)*f)\/(f\/((f**4\/f)\/f))))**(2\/29) assuming f is positive.\nAnswer: f**(74\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2103 + 2143?\nAnswer: 4301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1037.76, -1\/4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 2, 404 in descending order.\nAnswer: 404, 2, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38 - -30) + (0 + -1 - -1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 89 - 86. Sort -0.6, 5, a.\nAnswer: -0.6, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (((-77)\/14 - -6)*1)\/(1 + 0). Let n = -0.4 + 1. Let d = 0.1 - n. What is the smallest value in d, z, 4\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + (-18 - -16 - 8) + 19.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -267*z**3 - 5*z - 4. Let o be g(-1). Is o not equal to 269?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 e when two letters picked without replacement from selltltulull?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 657045 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 17*w. Let i(f) = 795*f - 795*f + f**2. Give i(s(q)).\nAnswer: 289*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 4*p**2 + 7*p + 2. Let i be r(-6). Let n(y) = 2*y**2 - 10*y - 23. Let h be n(7). Solve -5*t + i = -h*v + 7, -15 = 2*v - 3*t for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1500) + sqrt(60))\/sqrt(5))\/sqrt(6) + ((2*sqrt(16))\/sqrt(8) - (-1 + sqrt(162))))**2.\nAnswer: -2*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/14 and 119\/206540?\nAnswer: 1445780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -12. Suppose 10*t - 23 + 3 = 0. Suppose t*x = r*x. Put x, -3, -2 in descending order.\nAnswer: x, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -1\/7 (b) -1\/3 (c) 0.2 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -2*k + 3*a + 13, 0 = 2*k + 3*a + 7. Let w be (7 - 6)*2*25\/2. Solve k*v - w = -v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 46\/5 of a century?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 5*u**2 - 3*u**2 - 2*u - 1 + 2*u**2 + 5*u**2. Let q be ((-4)\/(-6) + -1)\/((-6)\/36). Let y be k(q). Which is smaller: y or 1\/10?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -560, -1139, -1732, -2339, -2960, -3595?\nAnswer: -4244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -57, -126, -223, -348?\nAnswer: -501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 + -19. Suppose -3*o + 2 = -c - 3, -c + 27 = i*o. Calculate the remainder when 12 is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62953 to the power of 1\/2, to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence av when two letters picked without replacement from {a: 4, v: 1, r: 1, e: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/1344 and -173\/252.\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 228 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**2 + 3*x - 3*x + (-10*x**2 + 27*x**2 - 14*x**2)*(3 + 2 - 3).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 less than 0.28?\nAnswer: -154.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8238759 a multiple of 1929?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 4*s = -21, q + s = 4*s - 14 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2596 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 16*s**2 - 15*s + 9. Let d = 15 + -9. Calculate the remainder when h(-15) is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (502\/3765)\/((-20)\/75). Let q = -0.06 + -1.94. What is the nearest to 0 in -1, -9, p, q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**2 + 72*q - 9*q - 17*q - 14*q - 3*q**2.\nAnswer: -q**2 + 32*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -47236, -53785, -60334?\n\"Answer: -6549*y - 40687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**4\/2 + 69141*o**3\/2 + 2701845*o**2\/2 - 18077553*o\/2 + 14024745 = 0.\nAnswer: -45, 3, 23086","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -7*k**2 - 5*k. Let b(y) = 4*y**2. Determine b(o(t)).\nAnswer: 196*t**4 + 280*t**3 + 100*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**13\/(g**(-7)\/g)*g**(-1\/5)\/(((g**(-7)\/g)\/g)\/g) assuming g is positive.\nAnswer: g**(154\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -6*-167150\nAnswer: 1002900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 374694955*w**4 - 5*w**2 - 255262*w - 10?\nAnswer: 8992678920*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -10871, -1, -3, 0, -39, 4 in descending order.\nAnswer: 4, 2, 0, -1, -3, -39, -10871","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 5*m - 2*u, 2*m = -m + 3*u + 27. Suppose 0*s + m*s - 40 = 0. What is the remainder when s is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125768271389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51 + 40*c**2 - 37*c**2 - 62*c + 62*c.\nAnswer: 3*c**2 + 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/(sqrt(10) + (sqrt(10) + sqrt(10) + sqrt(160))*-5 - sqrt(10)).\nAnswer: -sqrt(7)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19)\/456*-88)\/((-1)\/3*1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 122 (base 7) to base 5\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3, 1\/3, -2\/223, 3\/4, -6, 2\/11, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1344098726?\nAnswer: 2, 1753, 383371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*(3 - (-27)\/(-10)). Let q(k) = k**3 - 5*k**2 + 6*k - 9. Let c be q(4). Are f and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 10:59 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/3, -4, -1, -0.142?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -39 (b) -0.4 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -34? (a) -1\/19 (b) 2 (c) -3 (d) 0.42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 958 - 5089177725.35\nAnswer: -5089176767.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 33578*f + 1703. Is h(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((9\/12)\/3)\/(((-270)\/(-12))\/45)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*g = 12*g + 328 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 8:33 PM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**5\/9 + 8*s**4\/9 - s**3\/9 - 8*s**2\/9 = 0.\nAnswer: -8, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 83 (base 12) to base 3\nAnswer: 10200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 5*y**3 + 31370*y**2 - 2541600*y = 0.\nAnswer: -6354, 0, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 161 + -3 - (-1095 + 1185)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3d68f (base 16) in base 14?\nAnswer: 6794b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 183.0819429 - 249.05859406. Let g = 52.976651 + b. Let a = 13 + g. Round a to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/9)*(q**16\/q)\/q)\/((q\/(q*((q**(-4\/15)*q)\/q)\/q*q))\/(q**(-2\/3)*q)) assuming q is positive.\nAnswer: q**(623\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 0. Let r = m + 21. Suppose r = 2*a + a. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52652.\nAnswer: 2, 13163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {c: 1, f: 7}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -444229623*h**5 + 36389827*h - 3 wrt h.\nAnswer: -8884592460*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 24661, 24747, 24977, 25423, 26157, 27251, 28777, 30807?\n\"Answer: 12*r**3 + 2*r + 24647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9.012 + 9. Let m = y - -0.011957. Round m to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*i - 7*i - 21*i)*(1 + 1 - 4)*(-i**2 - 5*i**2 + 3*i**2).\nAnswer: -108*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 849.\nAnswer: 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -10*b - 481. Let k be x(-48). Let s(q) = -q**2 + q + 1. Let d(p) = 5*p**2 - 4*p - 3. Give k*d(n) - 6*s(n).\nAnswer: n**2 - 2*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/(-66))\/((-7)\/(-8)*2*770\/45815)?\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -67*o**2 - 25*o - 72. Let u be m(-3). Let d = u + 2478. What is the hundreds digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**2)**(2\/45))**(5\/6) assuming w is positive.\nAnswer: w**(2\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gpxagpxigpqq. Give prob of picking 1 i, 1 q, and 2 p.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 5*v**2 - 5*v - 3. Let q be a(-3). Let y(c) = c + 31. What is the remainder when y(10) is divided by (27 + q)*(-1 - -2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**3 - j**2 - j + 21. Let b(p) = -2*p**3 - p**2 - p + 21. What is 3*b(r) - 2*v(r)?\nAnswer: -2*r**3 - r**2 - r + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*x - 2*g - 1, 3*x = 2*g + 6. Suppose 3*w + 2*u = 13, -x*w - 4*u + 10 = 4. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -42*z**3\/5 + 387340476*z**2\/5 - 110668704*z\/5.\nAnswer: -6*z*(z - 9222392)*(7*z - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/(-6))\/((-6)\/72). Suppose -3*w - v = -s + 14, 0 = -4*w - 20. Factor -y**2 - s*y + 6 + 7*y**3 - y**2 + 11*y**2 - 4*y**3 - 3*y**4.\nAnswer: -3*(y - 1)**3*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-70)\/441)\/((-18)\/162)?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 6*m + 2. Suppose -5*r + 1 = 4*w - 9, 5*r - 50 = 4*w. Let b be v(r). Let g(i) = -i**2 + 6*i + 1. Let n be g(6). Is b <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.01, -24, -125, -1\/2?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 377*w - 170*w - 162*w + 50321*w**2 - 50320*w**2.\nAnswer: w**2 + 45*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 4:56 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhbfbqbhibibfb. What is prob of picking 1 b and 1 f?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44*s**2*u**5 + s**2 + 16*u**5 - 391*u + 2 wrt u.\nAnswer: -880*s**2*u**3 + 320*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -395 and 0.06.\nAnswer: -23.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 77709596 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(891)*2 + sqrt(891) + sqrt(891) + sqrt(891)*1*-6 + sqrt(891) - (-5 + 0 + sqrt(891) + 5))*-4)**2*-5.\nAnswer: -4561920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3 + 10454*s**2 + 415038*s + 404586.\nAnswer: 2*(s + 1)*(s + 39)*(s + 5187)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*y - 0*y. Let x(l) = -72*l - 30. Let r be x(-8). Suppose 2*h - 15*h + r = 0. What is the highest common divisor of y and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 72 - -144. Calculate the remainder when 44 is divided by 2\/9 + 8\/(g\/399).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30954 a multiple of 231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10308 divided by 2577.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*x - 75*x + 1044 = 50*x for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wiwwd. What is prob of picking 1 d and 2 w?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 5*u - 45. List the prime factors of u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 - 3 = 2*d. Let x = -20 - d. Suppose 2*l - 168 = -3*v, 9*l - 4*l + x*v - 413 = 0. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2003, -4015, -6029, -8045, -10063, -12083?\n\"Answer: -s**2 - 2009*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from xiixxxiiixiixx.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8930, 8925, 8920?\nAnswer: 8915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/13046396 and 151\/66.\nAnswer: 39139188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/10? (a) -306 (b) 1\/4 (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-25)\/(-9) + (-2)\/(-9). Suppose 0 = -7*t + v*t. Solve 3*f + 0*f = 3*w - 9, 4*w + f - 7 = t for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.26928 microseconds to milliseconds.\nAnswer: 0.00026928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(85) - sqrt(85)*-1)*6 + -3*sqrt(85)*-1 + sqrt(85))*-4)\/(6*(sqrt(605) + -5*1*sqrt(605))).\nAnswer: 8*sqrt(17)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 1, 0.1, -15.2?\nAnswer: -15.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5660532.14 - 120777.86. Let x = -5781309.6000007 - d. Let m = -0.4 + x. Round m to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -113500, -113499, -113498, -113497?\n\"Answer: l - 113501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -36061 divided by -18?\nAnswer: 36061\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 20. Suppose 3*i - y = 14, d*y - 9 + 29 = 0. Let o = 23\/68 + -3\/34. Which is the nearest to o? (a) i (b) 0.2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + 18 + -10 + (230 - 76).\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 42*g + 1. What is the units digit of h(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 3344, 5 in increasing order.\nAnswer: -2, 3, 5, 3344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 85*b**2 - 170*b - 183. What is the remainder when x(-83) is divided by 70?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -1\/23, -1, -21, 21, 1.1 in descending order.\nAnswer: 21, 1.1, -1\/23, -0.3, -1, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35327800.\nAnswer: 2, 5, 29, 6091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176)*1)\/sqrt(8) - sqrt(22) - sqrt(22))\/(sqrt(2) + (sqrt(2) - 6*sqrt(32))).\nAnswer: sqrt(11)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 206098 divided by 17?\nAnswer: 206098\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3977139 is divided by 31?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g + 2*g - 2*g + (3*g + 3 - 3)*(3 - 1 - 6).\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 930382 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5450 - 3246. Let v = o - 3404. Round v to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (100\/8)\/(-25)*-7343788 - -9 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6714668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.09034? (a) 3\/7 (b) -0.09 (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -637*w = -281*w + 6408 for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 103*a + 56 - 56 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24589.32 - 25384. Let f = -787 - w. Is -1 at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74375 - 74379 + 148754 - 3*y**3.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -52302 (base 16) to base 5.\nAnswer: -41233032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 475*n + 1235. Let m(v) = -2. Let f(i) = a(i) + 570*m(i). Find the first derivative of f(k) wrt k.\nAnswer: 475","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 328*p + 331*p - 659*p + 5*p**3.\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 142104012 - 2?\nAnswer: 142104010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4}. What is prob of sequence pppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/73 (b) -1 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 12:15 AM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/8)\/(((-33)\/88)\/(14\/(-112)))\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a hour in minutes?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**(-3)))\/c*c*c*(c\/(c\/c**(-9))*c)\/c)\/(c\/((c\/(((((c\/(c*c*c*c**(2\/7))*c)\/c)\/c)\/c)\/c))\/c))**(-40) assuming c is positive.\nAnswer: c**(-1235\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 164.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 c when four letters picked without replacement from {z: 2, c: 2, w: 1, d: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 6)*(-2*m**4 + 2*m**4 + 2*m**4) - 5*m**4 + 5*m - 5*m.\nAnswer: -13*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-2 + 3*(sqrt(1331) + -2*sqrt(1331)) + 1)*-4*3 + -3)**2.\nAnswer: 7128*sqrt(11) + 1725054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4 = 0, -n - 35 = 2*g + 3. Let i = g + 42. Calculate the highest common divisor of i and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3. Let f(a) = -114*a**2 - 4*a + 11. Let h(p) = -f(p) + 4*z(p). List the prime factors of h(2).\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 139245578?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 79 + 74?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -429286946 divided by -7502\nAnswer: 57223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 17*g**2 - 200*g + 81. Give t(-25).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 429119, 429156, 429207, 429278, 429375?\nAnswer: 429504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -6*t. Let u(p) be the third derivative of 0*p**3 + 0 + 13*p**2 - 7\/24*p**4 + 0*p. Let c(m) = 6*j(m) - 5*u(m). Let o(n) = n**2. Determine o(c(i)).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cukkyyw. What is prob of picking 1 k, 1 c, and 1 y?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 10:13 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is k in k**5 - 1476*k**4 + 553391*k**3 - 6428412*k**2 - 553392*k + 6429888 = 0?\nAnswer: -1, 1, 12, 732","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -206, -489, -774, -1061, -1350, -1641, -1934?\nAnswer: -2229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 143 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of -w**6\/120 - 7*w**5\/60 - 3*w**4\/8 - 4*w**3\/3 - 6*w**2. Let c be o(-6). Let z = 12 - 8. Solve c = -2*l + z*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7807250 and 73480.\nAnswer: 31229000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -195*f + 188*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a week in hours?\nAnswer: 945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -44*o**4 - 38668*o**3 + 45752*o**2 - 7040*o = 0.\nAnswer: -880, 0, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 4:40 AM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2502*m**5 + 125*m**3*u - 2*m**2*u - 2*m**2 + 564*m*u + 3*m - 233 wrt m.\nAnswer: 150120*m**2 + 750*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, 4\/9, -44 in increasing order.\nAnswer: -44, 1\/8, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -978 take away 0.2?\nAnswer: -978.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8018 + 8015. Let v = -0.1 + -0.2. Which is the second biggest value? (a) t (b) v (c) 1 (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1*4*(11 - 0))\/(-1). Calculate the highest common divisor of 110 and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 13 = 3*a, 0 = -3*v + 4*a + a + 9. Let c be (-132)\/21 + v\/(-7). Let j(r) = -r**2 - 5*r + 4. Calculate j(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31504 (base 8) in base 9?\nAnswer: -20002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -24, -49, -1 in descending order.\nAnswer: -1, -5, -24, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/5))**(-13)\/(c**(-1\/4)*c**(1\/10)*c*c)*(c\/c**(-1\/4))**(12\/11)*(c\/(c\/c**(2\/11))*c)\/c*c**(-1) assuming c is positive.\nAnswer: c**(857\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 11:28 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ogd when three letters picked without replacement from aaoabbaodwdobaggbad.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/21)\/(-4)*28\/(-68).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -15. Let h be (1 - x)\/(-1 + 2). Suppose 0 = 3*q + 5*k - 172 - 200, h = 2*q - 3*k - 267. Is 36 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.03008 (b) 3\/4 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 62\/93 + 8\/(-15). Which is the closest to x? (a) 8 (b) -2 (c) 0 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h - 3*h + 3*h - h to t*h + w and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/9 - 2)\/(42\/(-63)). Suppose c = -4*m - 76, 6*m - m + 20 = 0. Calculate the common denominator of q + -3 - (-399)\/c and -59\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 4*a - 5. Suppose -3*r + 3*c = -12, -c = -2*r - 0*c + 11. Let x be n(r). Let g be 60\/x - (5\/(-4) - -1). Solve g*w = -w + 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 6004 in increasing order.\nAnswer: -5, -2, 6004","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -582, -1595, -2608, -3621, -4634?\nAnswer: -5647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 * 204.\nAnswer: 2448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 12:46 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = 14*l - 9*l - 4*p, 3*l - 2*p - 25 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/24*-44)\/(((-36)\/99)\/((-162)\/297)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 1:19 AM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-56)\/(-10) - (-5 - 84\/(-15)). Suppose 3*d - 7*d + 2526 = -j*t, -d = 2*t - 638. Calculate the remainder when d is divided by 49.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, j: 1, a: 8, u: 2}. What is prob of picking 2 a, 1 j, and 1 u?\nAnswer: 56\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (101 - 0 - ((66 - 26) + -23))?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 10*i - 7. Let v(p) = p - 2. Let l be v(8). Is b(l) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of z**5 - 51*z + 2*z**3 + 53*z - 2*z**3 wrt z.\nAnswer: 20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(-10)*(-5)\/2. Let d be ((-28)\/6)\/f*3. Let k(u) = 12*u - 3*u - d*u. Let i(c) = c**2. Determine k(i(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 23 = r. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -132.048 + 132. Let i = -0.84619 + 0.894173. Let s = a + i. Round s to 6 dps.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06898401 to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 32851.3801 rounded to the nearest one hundred?\nAnswer: 32900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5766544435 to the power of 1\/6, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-4\/11)\/u**13)**(2\/63) assuming u is positive.\nAnswer: u**(-14\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 2*d - 7. Let l be i(2). What is the least common multiple of l + 57 + (-7 - -4)*1 and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -244343352?\nAnswer: -244343356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -100 - 14c73b?\nAnswer: -14c83b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2517094221.\nAnswer: 3, 839031407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9174472*f**2 + 18348855*f**2 - 9174419*f**2.\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 17\/11 + -1 - 32116\/(-2387). Solve j*d - 6 = 8 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*o + o + 17325 = 0. What is the remainder when 13 is divided by (-627)\/o + 2\/21?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 2*i**2 + 7*i - 9. Determine w(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 5*i + 10, -2*i + 12 = 2*i. Let r be (-1)\/o + (-8260518)\/(-15). Let l = -429299 - r. What is l rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of f**4\/12 - 3*f**3 - 47*f**2\/2 + 334*f. Give w(20).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (264 - 14 - 457 - 385)*(-3*q**2 - q**2 - 4*q**2).\nAnswer: 4736*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*f**2 - 5*f**2 + 4*f**2)*(-39 + 39 - 60*f) - f**3 - f + f in the form m*f + u*f**3 + x*f**2 + k and give u.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/153 + 296\/765. Let f = 0.16 + 48.84. Let u = f - 46. What is the closest to -1 in 0, w, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 8:10 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3 = -i + 17, 2*i + 10 = 2*m. Suppose i = t + 4*t - 55. What is the remainder when 32 is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 5*g. Let x(q) = 19*q + 22*q + 18 - 56*q + 20*q. What is m(x(p))?\nAnswer: 25*p + 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 5*p**3 - 36*p**3 - 1 + 0*p**2 + p**2. Suppose -6*g + 31 = 37. Is 19 a factor of h(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*c - 22*c + 49*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2322 a factor of 553878270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -l**2*y**2 - 4340*l**2*y + l**2 + 12243*y**2 wrt l?\nAnswer: -2*l*y**2 - 8680*l*y + 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 36\/(-50) - (-24)\/30. Let s = 523 - 526. Which is the closest to -0.3? (a) s (b) 4 (c) 0.1 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + -1. Let l = 0 + 0. Let t = 514 - 509. What is the second smallest value in b, t, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 7*u + 9. Let n be h(-6). Suppose g - y - 2*y - 12 = 0, n*g = -y - 4. Solve 4*d + g = 8, 3*d - 2 = -2*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -90.1 + 90.107912. Let k = 0.008 - z. What is k rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -303*m = -330*m + 378 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/4)\/(-1)*8. Suppose -5*x - 1 = -16. Put d, x, 1\/5 in decreasing order.\nAnswer: d, x, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (j + 2*j - 2*j + 1 - 1 + 2*j + (2 + 0 - 3)*(-4 + 4 + j) - j + 2*j - 4*j)*(555*j**2 - 5174*j**2 - 6581*j**2) as o*j**2 + n*j**3 + z*j + h and give n.\nAnswer: 11200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (143 - 607 - 91)*(-5*j - 2*j + 4*j)*(0 + 2 + 8).\nAnswer: 16650*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 10*s - 1. Let a = -147 + 158. Let l(p) = 29*p - 3. What is a*h(f) - 4*l(f)?\nAnswer: -6*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51205 and 7942?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3194.079ml to litres.\nAnswer: 3.194079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - y. Let i(b) = 12 + 14 - 20 - 19 + 2*b + 4*b**2. Give -i(x) - 2*n(x).\nAnswer: -2*x**2 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2520, -0.8, 1\/7, -22 in ascending order.\nAnswer: -22, -0.8, 1\/7, 2520","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 19 = -5*w, 0*j - 5*j + 25 = -5*w. Suppose j*m = m + 16. Calculate the least common multiple of m and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 21 - 250 = -4*g, -5*g - 5*q = -290. Suppose -i + g = -58. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1461.043 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, g: 1, z: 1, p: 1, w: 2, r: 1}. What is prob of picking 2 r and 2 w?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1927806.3 rounded to the nearest 10000?\nAnswer: -1930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13694 is divided by 249.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80 and 200.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/11*((-73491)\/714)\/131?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 228502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -113*a + 4379. What is r(39)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 60*i + 1535. Let x be c(-25). Suppose -q = -4*n + 21, -14 = q - 3*n + 10. Let d = x + q. Solve -10 = -d*t + 3*b - 7*b, b - 30 = 5*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 205340?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -16128 greater than -16130?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 1 - 5 = w, -44 = -4*w + 5*a. Suppose 5*l - 2*c - 13 = -w*c, -2*l + c = -13. Solve 3*r = -p - 9, -5*p - l*r = -3*r - 7 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 PM and 12:00 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 38, 71, 128, 215?\nAnswer: 338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 69 and 130087992.\nAnswer: 2992023816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5*r = 224. Suppose 93 = 4*b + 97. Is (r - b) + 3 + -2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4741737.2 or -2\/3?\nAnswer: 4741737.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/(sqrt(24)\/sqrt(3)))\/(sqrt(36)\/sqrt(6)*-6) - ((sqrt(4) - sqrt(44)\/(sqrt(11) - (-2*sqrt(11) - sqrt(11))))\/sqrt(2) + 1)*3.\nAnswer: -29*sqrt(2)\/12 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 142 + -138. Suppose -5*x + 1660 = 5*h, -5*h + n*h + x = -332. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21281 * 0.2\nAnswer: 4256.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.06 - 0.1. Let r = -0.06 - g. Which is greater: r or -4\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of 7\/2*z**2 + 61\/9*z**3 - 2 - 98\/3*z + 5\/4*z**4 + 1\/15*z**5. Factor k(h).\nAnswer: (h - 1)*(h + 2)*(h + 7)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1193265?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*k = -120*k + 1209. Calculate the remainder when k is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**2. Let z(j) = -63*j - 5. Let a(l) = -32*l - 3. Let x(k) = 5*a(k) - 3*z(k). Calculate r(x(g)).\nAnswer: 1682*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 5*k**2 - 2*k + 7. Let l be n(5). What is the remainder when 20 is divided by 11\/(l - -2 - -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -168*h - 2683. Let z be w(-16). Let o(b) = -82*b**3 - 5*b**2 + 5*b - 5. Let m(v) = -82*v**3 - 4*v**2 + 4*v - 4. Determine z*m(y) - 4*o(y).\nAnswer: -82*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3870?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22237197 is divided by 2145.\nAnswer: 2127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-2)*(-100)\/(-30). Suppose 4*h = -n + 1, -4*h + 11 = 2*n + n. Suppose 0 = p + 4*p - 10. Put p, i, h in ascending order.\nAnswer: h, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/71532054 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllllllllululluulul. Give prob of sequence ul.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 765120.5*-2.\nAnswer: -1530241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/5))**(2\/21)\/(p*p*p\/(p\/((p\/(p*(p*(p\/(p*p**0))\/p)\/p*p*p)*p)\/p)))**(-12\/11) assuming p is positive.\nAnswer: p**(1216\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/2 (b) 2\/7 (c) -7 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.09 + -0.07. Let m = 0.32 - w. Which is the nearest to -1? (a) 4 (b) -1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37.09 - 38. Let o = z + 0.9956. What is o rounded to two dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - -2 - 10 - -308. What is the highest common factor of g and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b*b**(-1\/2)\/b*b**(2\/9)*b*b)**(-16)\/(b*b**(2\/9)*b*b*(b\/(((b*b*b**(2\/19)*b)\/b)\/b))\/b)**5 assuming b is positive.\nAnswer: b**(-3998\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31.1182759 + 2.\nAnswer: -29.1182759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11529299 + -639299. Let a(l) = 109*l - 3154. Let t be a(29). Suppose -k = -t*r + 4*r. What is r rounded to the nearest 100000?\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -6*f + 1 - 3 - 2*f**2 + 3*f**2. Suppose 4*c + 1 = -35. Let h be (-2)\/6 - 57\/c. Calculate n(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + 2 - -1) + 2. Calculate the highest common factor of 2 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t**(1\/7)*t*t)))\/t**8)**18 assuming t is positive.\nAnswer: t**(-738\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/52 - (-666)\/195*5.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-7) + (-62068)\/(-413). Calculate the highest common factor of 50 and c.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59942235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 4*m + 1. Let y be i(4). Suppose 48 = b + y. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -2*l + 8. Let g be (-6)\/l*(-2)\/(-6). Let r = -100\/159 - 2\/53. What is the smallest value in 0.5, g, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1138, 1233, 1340, 1465, 1614?\nAnswer: 1793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - 2*o**2 - 10 + 7 - o**2 + 5. Determine n(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 + -8926?\nAnswer: -8925.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of b**8\/1176 - 2*b**7\/735 + b**6\/420 + 13*b**2. What is y in i(y) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7724)\/(-22) + 141\/(-1551). Solve 501 = -25*a + s for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2684*-405.6.\nAnswer: 1088630.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of 5*j**4\/12 - 10*j. Let w(h) be the third derivative of -h**5\/15 + h**2. Determine c(w(z)).\nAnswer: 80*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -9) + (-9 - -3) + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -114 + 116. Suppose r*t + 154 - 1116 = 0. Is t 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 216, 288, 62, -630, -1956, -4084, -7182, -11418?\nAnswer: -16960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -8*q**2 + 54*q + 88. Let j(k) = 3*k**2 - 18*k - 29. Let a(p) = -11*j(p) - 4*z(p). Is a(-14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*k - 19*k - 1600 = -149*k for k.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*b + 3*b. Suppose -1 + b = -d. List the prime factors of (-3)\/(-2*d\/(-14)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 6454 (b) -0.2 (c) -5 (d) -1257\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -5*g**2 - 72*g + 46. Determine u(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 85 = 260. Let n = -23 + f. Let o = -7 + n. Solve 5*p - o - 15 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 108381, 108377, 108385, 108417, 108485, 108601, 108777, 109025?\n\"Answer: 2*q**3 - 6*q**2 + 108385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42.2 - -41.9. What is the nearest to -1 in 2\/17, j, 1\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2 - 83*a + 1260.\nAnswer: (a - 63)*(a - 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 14 + 4. What is the smallest common multiple of v and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 7*a + 290. Let b be w(-41). Let p(h) be the first derivative of 0*h**2 + 10\/3*h**b + 0*h + 3 + h**5 - 15\/4*h**4. Factor p(g).\nAnswer: 5*g**2*(g - 2)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -60 (b) 0 (c) 2 (d) -689.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*u + 5*a, -u - 2*a + 4 = 14. Let z(w) = -w - 104. Let f(h) = -4*h - 217. Let b(v) = 3*f(v) - 7*z(v). What is the tens digit of b(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*a - 5 + 1018*a - 251*a - 228*a.\nAnswer: 557*a - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from umqmmmmmqqqqqmmmmmqq. What is prob of sequence mq?\nAnswer: 22\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 7*w + 2. Let t(j) = 11*j + 3. Let r be (4\/6)\/(6\/(-45)). Calculate r*t(l) + 8*d(l).\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1024, 349, -516, -1667, -3200, -5211, -7796, -11051?\nAnswer: -15072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -123 + 123.00000125. What is g rounded to seven decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x**2 - 556*x + 7000 = 0. What is x?\nAnswer: 14, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 110941777 to the nearest integer?\nAnswer: 10533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -17393453 + -25546.48?\nAnswer: -17418999.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*((-14)\/2 - 2). Let f(h) = -h**2 + 8*h + 13. Let d be f(u). What is the greatest common divisor of 36 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10175?\nAnswer: 5, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -1\/24*i**4 - 2*i**2 + 0*i**3 + 0 + 0*i. Let p(a) be the second derivative of -a**4\/12 + a. Calculate p(k(n)).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16222886 is divided by 68741.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80 + -73 - (0 + -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 476, 752, 956, 1052, 1004, 776, 332?\n\"Answer: -6*t**3 + 318*t + 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -23254 - 2?\nAnswer: -23256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37054.\nAnswer: 2, 97, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (26\/(-143))\/((-8)\/33). Which is bigger: m or -179?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 84 + -94. What is the nearest to 2 in 0.1, b, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-935 + 1690 - 852 - 2*l)*(-l - 2 + 2).\nAnswer: 2*l**2 + 97*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1\/207*2*(-867)\/289\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 divided by 65905?\nAnswer: -12\/13181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**2 - 15*d - 10.\nAnswer: -5*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2 + 6*q - 3*q + (2 - 2 + 1)*(-14*q + 70 - 70).\nAnswer: -11*q - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.09 - 0.09. Let f = 111 - 106. Let p = -374 + 369. What is the closest to s in p, f, 2\/53?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*o - 145*o - 19887 + 5967 = 15*o for o.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*p + 38*p - 32*p**3 + 92*p**3 - 13*p.\nAnswer: 60*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2 + sqrt(1377)) + -4 + -5 + 2 + 6*(sqrt(1377) + 2)*1)**2.\nAnswer: 144*sqrt(17) + 88129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30560899*p**5 - 107917*p + 1.\nAnswer: 611217980*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -81.1 - -81. Let z = 36 + -36.4. What is the nearest to -2 in r, -2, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -3*s**4\/4 + 38*s**3\/3 - 23*s**2\/2 - s + 50. What is the least common multiple of n(12) and 457?\nAnswer: 5027","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w**2 - 4*w**2 + 2*w**2 + (-2*w - w + 4*w)*(w + w - 5*w) + 2*w**2 + 0*w**2 - 7*w**2.\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 554518478?\nAnswer: 2, 17, 181, 90107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -70*j**4 + 5*j**2 + 14*j + 1665. Let d(i) = 35*i**4 - 2*i**2 - 6*i - 833. Let l(o) = 5*d(o) + 2*m(o). Differentiate l(v) with respect to v.\nAnswer: 140*v**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -312, -315, -318, -321, -324?\nAnswer: -327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 4*n - 7. Let i be -1 - -2*(-4 - -3). Let j be (i\/(-9))\/(1\/(-15)). Give p(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -u**4\/12 + 2*u**3\/3 + 49*u**2\/2 + 223*u. Give o(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05223027 rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 310960?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + sqrt(76) + sqrt(76) + -3*1*sqrt(76))\/(sqrt(1200)\/sqrt(3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000084281415 rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3 + 16626*p**2 + 633954*p + 6029422.\nAnswer: -2*(p - 8351)*(p + 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 0*g = 4. Let d = 6 + g. Let k = 35 - 34.6. Which is the third smallest value? (a) d (b) k (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 851 - 861.93. Let p = t + -0.07. Let n = p - -11.0000055. Round n to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 108.52 + -103. Let d = -0.52 + z. What is the closest to 10 in 3, d, -0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14611.75 rounded to the nearest 1000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -7, -4, -31\/27, 0.2, -3\/7, -37, -2\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 188388.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 2\/7, -1\/17, -4?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000159 to 5 decimal places.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 9*x**5\/5 - 9732*x**4\/5 - 51391704*x**3\/5 - 32781226752*x**2\/5 + 8773649040*x + 43799705664\/5 = 0.\nAnswer: -1066, -2\/3, 2, 3212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 12*y - 9. What is the lowest common multiple of y and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 117363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 12:24 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 l when three letters picked without replacement from {h: 3, r: 1, t: 2, l: 3, y: 3, a: 1}.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 15*p**2 + 56*p - 13. Let c be x(9). Suppose 0 = 3*w + 4*s - 34, w - 10*s - 5 = -c*s. Solve k + 3*z = -11, 2*z = -5*k - 39 + w for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1055754 by -7182.\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 29533280 divided by 2953328?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 462 + 2*i - 897 + 430. Let s(g) = -5*g + 9. Determine -3*s(p) - 7*z(p).\nAnswer: p + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -93761326 - -0.15988?\nAnswer: -93761325.84012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/35 (b) -1 (c) -0.3 (d) -28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 177535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3*x + 193 = 0, 0 = -3*q - x + 185 - 44. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 6*y. Let s be y - (-3 - -1) - -6098. Round s to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15469392 divided by -644558\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2\/9, 38, 0.4, 22, 2 in ascending order.\nAnswer: -4, 2\/9, 0.4, 2, 22, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 6*n**2 + 7*n - 5. Let d be l(7). Which is the third smallest value? (a) 0 (b) d (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 850\/(-765) - (-18290)\/18. What are the prime factors of -10 + f - 4\/((-8)\/2)?\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 4678768, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**2 - 11*i. What is b(-9)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000004484697 rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0153106078 rounded to five decimal places?\nAnswer: -0.01531","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 385 and 175?\nAnswer: 1925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -357 (b) -1.205 (c) -313\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from osnsonnssssonooossss.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-4184)\/(-178866))\/((-4)\/18)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(20)\/(-1*sqrt(10)) + -2.\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312941 is divided by 2652?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 0*f = -3*f + 33, -9 = k - 4*f. Suppose -k*r + 2*r = 0. Solve -2 = -t - r for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115660580899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 5*t - 12. Let j be i(4). Solve 2*b + 4*r + 4 = b, 2*b = 2*r - j for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 + 2 - 8*r - 11*r**2 + 7*r. Determine s(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -4*w**3 + 3*w**2 + 3*w - 1. Let u be d(-1). Solve -u = -o + 1 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*6996.\nAnswer: -699.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 63643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.1, 1\/1657, -0.4?\nAnswer: 1\/1657","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2129 is divided by 1062?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (130\/(-3))\/((-5)\/15) is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -365*o - 2*q = -340*o + 48, 5*o + 3*q = -7 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1990513416.\nAnswer: 2, 3, 19, 337, 12953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*1 - 0*(-7)\/49. What is the tens digit of ((-2)\/n)\/((-6428)\/1284 - -5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*i**5 - 2*i**2 + 5*i**5 - 18*i**5 - 2*i**5 + 3*i**2 - 3*i**2 + 3 + 2*i**5 - 3 + (-2 + 4 - 4)*(-i**5 + 0*i**5 + 3*i**5).\nAnswer: -22*i**5 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-4)*(6 - 0). Let g = 3 + k. Let t be (-1)\/g*6\/9. Sort t, -1, 4 in ascending order.\nAnswer: -1, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = -8*f - 3 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1107139 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 1 = y, -2*f - 19 = 2*y - 9 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 3*o**2 - o - 1. Suppose -b + 2 = -a - 5*b, -2*b = -5*a - 10. Calculate the smallest common multiple of 10 and n(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -8*x + 64 - 95 + 10*x + 57. Give r(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82940 to the power of 1\/2, to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -59*u**3 - 17*u**2 + 6*u + 1. Let x(a) = 20*a**3 + 6*a**2 - 2*a. Let v(q) = 3*t(q) + 8*x(q). Let g be v(-4). Let d = g - 662. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -27*y**5\/8 - 81*y**4\/2 - 156*y**3 - 843*y**2\/4 - 885*y\/8 - 75\/4 = 0.\nAnswer: -5, -1, -2\/3, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 77438470.\nAnswer: -4\/38719235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 59247578*s**4 + s + 78782490 wrt s?\nAnswer: 236990312*s**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b - 9700 = 7778. Is 36 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 4*j = -8, -62*z + 40 = -67*z + 5*j for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r - 12. What is j(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 7*n**2 + 8*n + 9. Let t = 7 - 2. Suppose t*p = 10 + 30. Let x be u(p). What is the greatest common factor of x and 54?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(12 + -6)*4\/(-7)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6049, 7416, 8779, 10132, 11469, 12784, 14071?\nAnswer: 15324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-460)\/(-345) - 52\/(-6)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/627 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**14*i\/i**(5\/4)*i)**(-7) assuming i is positive.\nAnswer: i**(-413\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 30?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-38)\/19)\/((-39)\/3).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2187*n**4 + 11259*n**3 - 14754*n**2 + 2004*n - 72 = 0.\nAnswer: 2\/27, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 a factor of 9683880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2231231 (base 4) in base 13?\nAnswer: 50a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2)*(-2*s - 3*s + 3*s) + 2*s - 2*s - 2*s - s + 2*s + s - 3*s + 3*s + 2*s + (-3 + 4 - 3)*(-s - 2*s + 2*s) to the form o*s + z and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = o - 427. Let a = 606 - o. Suppose -a = -7*t - t. List the prime factors of t.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, a: 3}. Give prob of picking 2 h.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f**26))\/f)\/f**(-19\/5) assuming f is positive.\nAnswer: f**(-116\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 5*m**2 - 9*m - 5. Let o be h(5). Suppose -o = -2*j + 253. Let d = j + -98. Does 22 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 9384 = -2*v, -18557 = -3*v - b - 4483. What is the thousands digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*p - 69*p + 30 = g, 0 = 5*g - p - 20. Solve -i - 3*u - 8 = 3, -5*i - 35 = g*u for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**3 - 8*w**2 - 2*w + 7. Let t be i(4). Which is the closest to 0? (a) t (b) 6 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8173 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -42 - -51. Let b be 3 + 35\/3 - 6\/y. What is the second derivative of -b*a + 17*a**5 + 2*a**5 - 5*a**5 wrt a?\nAnswer: 280*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -153598 and -4.4.\nAnswer: -153602.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 31, -31, -179, -455, -901, -1559, -2471?\n\"Answer: -7*o**3 - o**2 - 10*o + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 763923999 to the power of 1\/3, to the nearest integer?\nAnswer: 914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 127\/234 - 7\/18. What is the closest to f in -0.4, -2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from yybyb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -4*v - 3 + 31, 4*c + 3*v = -14 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -1. Let s(t) be the first derivative of 1 - 7*t + 5\/2*t**2. Determine -6*f(k) + s(k).\nAnswer: 5*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-44)\/24*(-56)\/77)\/((-1)\/(-23139))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 = 2*j + 26. Suppose 35 + 587 = 4*h - 3*p, 0 = 5*p - 10. Suppose -h = -9*w - 13. What is the remainder when j is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13000705*f**2*w**2*y + 8*f**2*w*y**2 + 45*f**2*w*y + 2*f**2*w + 2*f*y + w**2*y**2 + 1451*w*y**2 + 4 wrt w?\nAnswer: 26001410*f**2*y + 2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 - (17 + -25 - -4)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 9*j + 3 = -m, 0 = -2*j - 3*m - 5. Let i(a) = -3*a**2 - 3*a - 4. Let n be i(-4). Let z be 0 + 1\/(j\/n). Solve b = 3*b - z, -4*b = -3*l - 14 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49.627 rounded to zero dps?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (2957907\/(-9))\/(((-33)\/(-99))\/(0 + -1)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99903, -100012, -100127, -100248, -100375, -100508?\nAnswer: -100647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299) + 1)*6)**2*3.\nAnswer: 2376*sqrt(19) + 248400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*g + 4*x = -28, -15 = 5*x. Suppose g*n + n = 20. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18962 + -18305. Solve 0 = -v*i + 651*i - 6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(2\/35))\/g)**(-2\/115) assuming g is positive.\nAnswer: g**(4\/4025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 145727 and 76411?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -51*a + 81*a**3 + 152*a + 60*a**3 + 67*a wrt a.\nAnswer: 846*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 5*t + 9. Let i be a(7). Let w(f) = f**2 + 4*f - 2. Let k be w(i). Solve -3*u + 6 = -k for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - m - 2. Let v be n(4). Let l be (-6)\/v*(-1 + 2). Which is the second biggest value? (a) 2 (b) l (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27*t**4 - 1423*t - 3744*t**2 + 1863*t**2 + 1872*t**2 wrt t.\nAnswer: -324*t**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.07 + 2.93. Let j be (-125)\/20*1*-4. Suppose -5*i - j = 0, d + 4*i = 3*d - 20. Which is the nearest to d? (a) 5 (b) -2\/15 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 - -41. Let j(x) be the first derivative of -29*x**4\/4 - x**2\/2 - 5. What is the remainder when j(-1) is divided by i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*y**3 + 78884*y**2 - 47002940*y + 7111203100 = 0. Calculate y.\nAnswer: 305, 19111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 6*x**2 - x + 2. Let y be z(6). Let r be ((-12)\/(-9))\/(y\/(-18)). What is the units digit of (-6 - 1)*(5 - r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*m - 2 = 73*m - 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0054344117 to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -136554181\/6 + 47111314601\/2070. Let r = a - 1344\/23. What is the common denominator of r and -58\/35?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 24*w + 300. What is z(-20)?\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*(f**16\/f*f*f)\/f*f**(-4\/3)*f*f\/(f*f**14)*f**(-9) assuming f is positive.\nAnswer: f**(-19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*r - 2*r - r + (-3 + 2*r + 3)*(0 - 2 + 0) - 2*r + 0*r + 3*r)*(4 - 2 + 0) as a + c*r and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 40 = 196. Calculate the highest common divisor of 559 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 2*l**2 + 4*l. Let z be t(3). Let p(n) = -14*n + 21. Let m be p(8). Let k be -1 + -1 - m\/49. What is the third biggest value in k, 2, z?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 832\/(-15392) - 1118\/(-148)?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + a**2 - a - 1. Let t(l) be the first derivative of -2*l**4 - 13*l**3\/3 - l**2 + 3*l + 10. Let k(u) = 3*p(u) + t(u). Factor k(c).\nAnswer: -5*c*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 + 11. Let c(f) = 3*f. Let a(y) = 6*y + 1. Let g(x) = v*c(x) + 6*a(x). Let d(z) = -3*z - 5. Determine -6*d(u) - 5*g(u).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*w**2 - 64 + 5*w**2 + 17 - 8*w**2 to the form z + o*w**2 + p*w and give z.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1967 + -1904 - (1 + (19 - 2)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 3*n - 6, 3*m - 3*n = m - 6. Suppose m = k - 13 + 8. Is 5 less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -317*b**3 - 422*b**4 - 482*b**2 + 942*b**3 - 315*b**3 - 310*b**3 wrt b.\nAnswer: -10128*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12310615.\nAnswer: 5, 2462123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 144327 to the power of 1\/2, to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*j*k*p + 4536*j*k - 32*j*p - 10*k*p - k + 55844*p wrt j.\nAnswer: -3*k*p + 4536*k - 32*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -41*t + 19*q - 17*q + 986, 3*q - 2 = -5 for t.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2940 - -3017. What is the greatest common divisor of c and 770?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 1186*t + 20*t**2 - 1 + 1205*t - 2374*t to the form j*t**2 + r*t + h and give r.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 4163?\nAnswer: -4157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -460\/3 - -153. Let k = 13.7 - 10.7. What is the fourth biggest value in k, -2\/9, 2\/5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -1c2?\nAnswer: -1c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 69585, 278289, 626107, 1113033, 1739061, 2504185, 3408399?\n\"Answer: -w**3 + 69563*w**2 + 22*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -18572115 divided by -1?\nAnswer: 18572115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**3\/2 - 7908*z**2 - 31268232*z = 0. Calculate z.\nAnswer: -7908, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*((35\/(-15) - -4) + -5 + 1)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3880593464211 and -0.2?\nAnswer: 3880593464211.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -33, 103.\nAnswer: -33, -5, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 25465.5 to the nearest one thousand.\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/((-4)\/(-64)*6))\/((-30)\/(-9))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/5)\/(1643\/2385 - 16\/18)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00038644679 rounded to five dps?\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -6*b**2 + 315*b - 164. Determine c(52).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 567*c**6 - 15*c**5 - 29679*c**2 wrt c?\nAnswer: 68040*c**3 - 900*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 6*i + 18. Let c be i\/(-15) - (-81)\/15. Find the third derivative of 3*k**6 + 3*k**2 - 4*k**c + 3*k**6 wrt k.\nAnswer: 240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 16 - 46 = -5*o, 6 = 5*n - 3*o for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1020*y**4 - 1763 wrt y.\nAnswer: 4080*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 10:04 AM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 11*x - 9. Suppose 2 + 4 = 3*g. Suppose -5 = -v - d, 0*v + g*v + 5*d = -5. Let n be u(v). Solve 2*q + 5 + n = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145834849 is divided by 2471777?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 6:26 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 79967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3268232 or 3268186?\nAnswer: 3268186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -702 = -5*b - a - 195, 0 = 5*b - 3*a - 499. Let s = b - 101. Let z be 30\/9*(-6)\/(-5). Solve s = h - z for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -2484.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15 - 106592?\nAnswer: -1065a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2 - 32 = 0. Let i be (-1*12\/(-3)*-1)\/(-1). Calculate the remainder when i\/1 - (-52 - 5\/5) is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 11*a**3 + 4*a**2 - 9. Let u(q) = -16*q**3 - 6*q**2 + 13. Give -7*r(v) - 5*u(v).\nAnswer: 3*v**3 + 2*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -724 times -3?\nAnswer: 2172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 2 - (-5 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 522 + -537. Let b = 179 - 194.1. Let l = t - b. What is the nearest to 1\/3 in l, 2\/9, 0?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 146 = -2*q, -a + 347 = 4*q + q. Let x be q\/25 - 1\/(-5). Suppose -5*l = x*c - 20, -4*l + c + c + 16 = 0. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -15 + 10 + 4*v**2 + 5. Let p(g) = g. Give p(u(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/3)\/2*3. Let p = -1 + q. Suppose 2*k + k = p. Solve 3*f + 2 + 7 = k for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/324)\/(40\/(-48))\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004506 to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.34595572 plus 358?\nAnswer: 336.65404428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13040 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: Calculate -19 - ((-2 - -2 - 17) + (280 - 270)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, -4, 259, -2\/13, 0.1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 7*i - 23. Let p(f) = 21*f - 71. Determine -7*b(t) + 2*p(t).\nAnswer: -7*t + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*t + 17915 = -136*t. What are the prime factors of t?\nAnswer: 3583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -61\/3 - -20. Which is the closest to -2\/7? (a) k (b) -0.1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -2\/3 (b) 8 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, 15, -0.5, -77\/5, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 + 6*x**2 + 1134*x - 1141*x to the form v + y*x + w*x**2 and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 59, 0.2, -3\/122, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2308840?\nAnswer: 2, 5, 197, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = h + 2*h. Let n be 5\/(h\/(-39 + -1)). Let j = n + -1. Calculate the remainder when j is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92085 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 107.8375, -11 in increasing order.\nAnswer: -11, 1\/4, 107.8375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(-2 + 1)*-13. Suppose -4*k = y - 7, 2*y - 3*k + x = -2*k. Put y, -1, 0 in decreasing order.\nAnswer: 0, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7*65\/30 + (-1)\/6. Let d be 3*(u\/36*4 + 0). Sort 1\/35, d, 1\/2 in ascending order.\nAnswer: 1\/35, 1\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 682 a factor of 4590542?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 9*b**2 - 8*b + 3. Let z = 5 + 11. Suppose 2*m - z = -0*m. What is the units digit of h(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2199915 divided by 4731\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -72, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5330848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5691152?\nAnswer: 2, 355697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -50.211 + -1.089. Let y = x + 51.6. Let z = -4 - -3.8. What is the nearest to z in 1, y, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3965443527803 + 3965443527803 - 73*b.\nAnswer: -73*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15\/35 + (-3)\/7. Suppose 4*h - 5*n - 35 = w, -5*h - n + 72 = -8. Solve 0 = -3*k + h, 3*l = 3*k - 2 - 4 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/6)\/22*9*4\/18\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 17 - 14 - 2\/1. Suppose -5*q + 26 = l. Solve -5*f = 4*k + 1, 6*f + q*k = f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 105 divided by 1\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 524.087 times 2\nAnswer: 1048.174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/4)\/(4\/(-48)*3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*4*(1 + (sqrt(500) + sqrt(500)*-2 + sqrt(500))**2 + (1 + sqrt(500))*1)*-4*2.\nAnswer: -1280*sqrt(5) - 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l + 2. Let g(n) = n - 1. What is 2*c(h) + 3*g(h)?\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10 - 3 - 1*5. Let o be (-14)\/(-7)*(-3)\/(-2). Is 28 a factor of r\/((-212)\/72 + o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 9 + 1)*(-2*z - z + 0*z).\nAnswer: 36*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -95, -184, -269, -350, -427, -500, -569?\nAnswer: -634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2 - 46*d - 252.\nAnswer: -2*(d + 9)*(d + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4638701685 to the power of 1\/5, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 143 + -141. Suppose 2920 = 4*z + t*s, 8*z - 2920 = 4*z - 5*s. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6922 - 4916 + 2119 - 6760 + 3031)*(-5*g + 3*g + g).\nAnswer: 13448*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4038*-203\nAnswer: 819714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 4*g - 1. Let x be s(1). Suppose 0 = -x*b + 3*i, 2*b - 3*b = 2*i + 3. Let y be ((-20)\/25)\/(-4 + 108\/30). Sort -5, y, b, -2 in descending order.\nAnswer: y, b, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 273\/(29211\/(-214))*2\/(-130)\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2882 and 352?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -i + 59, 21 + 77 = 2*i - 4*k. Let o(c) = c + 8. Let m be o(-6). Let w = m + i. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1113 smaller than -3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -82 - -34. Let o be (k\/(-30))\/((-6)\/(-15)). Let g(r) = -2*r + 0*r - r + o - 8*r. Let x(y) = 5*y - 2. What is 4*g(a) + 9*x(a)?\nAnswer: a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 10) in base 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/5))**(-6)\/(((h**(-8\/3)\/h)\/h)\/(((h*(h**4*h)\/h*h)\/h*h)\/h)))**(1\/6) assuming h is positive.\nAnswer: h**(181\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**3*c**(-2\/3)*c*c\/(c**(-2\/13)\/c)*c*c**(-6)\/c assuming c is positive.\nAnswer: c**(-20\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x - 5. Let i(n) = n**3 - 13*n**2 - 29*n - 15. Let v be (-19)\/(-1 + 4 + -4) + -4. Let s be i(v). Suppose -7*d - 6*d - 78 = s. Give t(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j**2 - j + j)*(-9*j**2 + 13*j + 22*j**2 - 3*j**2) to t + x*j**4 + a*j**2 + p*j + q*j**3 and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2678031468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kmmmmmmmmmkm. What is prob of picking 1 m and 2 k?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*d**3 + 25 + 6*d**3 - 5*d**3 - 16 with respect to d.\nAnswer: 42*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 - 6*a + 5. Let s = -5 - -11. Calculate t(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g\/(g*g**(2\/17)))**(-8))**(-17)\/(g**(-5)*g**(-1\/4)*g**(-2)\/(g\/((g*g**(-9))\/g))) assuming g is positive.\nAnswer: g**(1093\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 4:03 AM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 - 120*a - 9 - 6.\nAnswer: -120*a + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185132?\nAnswer: 2, 31, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3338 - -3335. Put 2, 1, -20, d in decreasing order.\nAnswer: 2, 1, d, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2714 and 1909.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 67 = 73. Let a be 252\/(-120)*(-620)\/93. Calculate the highest common factor of d and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 45\/1153?\nAnswer: 45\/1153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1783511 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19312?\nAnswer: 2, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (0 + -5 + 3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + (7 - 0) - (7 - -11)) + 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zx when two letters picked without replacement from {k: 5, i: 5, x: 1, z: 3, d: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 2*n = -38, 109*n = -4*k + 105*n + 32 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**2\/z)**22)**(-39\/4)*z\/(z**5*z)*z*z**(-3\/5)*z**(-1\/2)\/z**2 assuming z is positive.\nAnswer: z**(-1108\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 5*w + 3. Let n be a(-5). Solve -n*v = v + 16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1537792188 a multiple of 280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 539\/980 + (-8)\/10\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 709 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10\/(-275))\/((-6)\/(-15)). What is the smallest value in m, -10, -4?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of 0*y + 1\/60*y**5 - 11\/24*y**4 - 1\/6*y**3 + 0 + 15*y**2 - 1\/120*y**6. Let l be x(6). What is l rounded to the nearest ten?\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.7, 5, -0.2, -0.2289, 0, -59 in ascending order.\nAnswer: -59, -0.2289, -0.2, 0, 0.7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 12) + 8 - 16.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -332 = -2*r + 2*q, -378 = -2*r + 3*q - 43. Let m = r - 44. Suppose -k = -m + 115. Solve -4*f + 12 = -k*t, -4*t = 4*f + 33 - 5 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4498172767.\nAnswer: 11, 23, 43, 313, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19430 = 11*s + 2031. Round s to the nearest 100.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -123 - -5. Let u = z + 49. Let t = u + 84. What are the prime factors of t?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + x - 1. Let v(u) = u**2 + 4*u - 3. Suppose -4*p = -5*t - 6, -13 = -3*t - 5*p + 13. Suppose t*g = -g + 6. Determine g*d(s) - v(s).\nAnswer: s**2 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 25719 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 7:18 AM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 112955047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 810 (base 9) to base 4\nAnswer: 22101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -135 + (91 - 79) - -58?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b + 7*b - 12 = -2*p, 8*p = -5*b + 74. Solve 5*q = -4*v - 21, p*q + 4*v - 9 = 9*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (10 + 2 + -10 + 5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**4 + 83*d**3 + 216*d - 12025658.\nAnswer: 8*d**3 + 249*d**2 + 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -5*i + 6*c - 15, -4*i - 6 = -c for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 56 - 51. Solve h*y = 15 + 5 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 58*r**2 + 317*r + 155. Give p(-63).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + d = 46 - 4, -5*d = -2*h - 84. Let j be (-2)\/(-4) - h\/140. Which is the second smallest value? (a) j (b) -0.5 (c) 6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 283, 2409, 8235, 19621, 38427, 66513, 105739?\nAnswer: 157965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 22539?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that p**3\/5 + 7*p**2\/5 + 3*p + 9\/5 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 357102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 573 a factor of 7308726683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 430 = -5*f. Suppose f + 4 = p. Is 12 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.09 times -3.1577?\nAnswer: 38.176593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6\/5, -4, -143.6, 1\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 38863*c + 2 + 7 + 2*c**2 + 35606*c.\nAnswer: 2*c**2 - 3257*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 6*s = -s - 56. Solve -s*b = -4*f - 9*b + 12, -f + 4*b - 6 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 - 7*k + 10. Let y be t(-8). What is the third derivative of 26*d**2 + 3*d - 3*d + 11*d**3 - 20*d**y wrt d?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 302481 * 5.4\nAnswer: 1633397.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millennium in years?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 15, 3*c + 950 - 127 = 2*j. Let r = c - -702. List the prime factors of r.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ro when two letters picked without replacement from porrpprrrpr?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73169*h = -73231*h + 1302 for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -3, 14261 in ascending order.\nAnswer: -3, 0, 4, 14261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 17131, -6 in descending order.\nAnswer: 17131, 2, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0104 and 0.07.\nAnswer: -0.000728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*c*h**4 - 12*c*h - 1363*h**4 + 30725*h**2 wrt h?\nAnswer: -336*c*h - 32712*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2095 divide 10535749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 470*z - 469*z - 18*y + 57, 3*z = -3*y + 57 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53 divided by -73.\nAnswer: -53\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 17 and -7\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (24\/9 + -1)*(-324)\/(-45). Let v(n) = 4*n**2 - 7*n + 42. List the prime factors of v(h).\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.93 - -1.03. Let k = 0.1 - p. Let v be 1\/(-1) + 2 + (-10)\/16. Which is the closest to -0.1? (a) v (b) k (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-16) - (-105)\/20?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17*h - 17*h + 1459 - 919 + 574*h**3 wrt h?\nAnswer: 1722*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**2 + u**2 + 0*u**2 + (3*u - 5*u + 3*u)*(-4*u + 2*u + u) + (-u - 1 + 1)*(2 - 2 - u) + 4*u**2 - u**2 + 0*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m = -10*m. Suppose -z + m = -10. Suppose 10*y = -8*y + 18. Solve -y = x, x = 2*k - x - z for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4354 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, q: 1, w: 1, u: 1, j: 1}. What is prob of picking 1 w and 1 q?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 402 and 268?\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.548301 centuries to millennia.\nAnswer: 0.7548301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i + 444 - 217*i - 444.\nAnswer: -211*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5 + 10 + -7 + 4\/(-1). Let o(s) = -2*s**2 - 14*s - 9. Let l be o(n). Suppose i - 1012 = -0*j - l*j, 0 = -2*j + 3*i + 693. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - 1 - 0) + 1. Let w(u) = -u + 7. Let d be w(m). Suppose 0 = q - n - 11 - 3, 0 = 5*q + d*n - 25. Calculate the remainder when 25 is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1087, 1085, 1081, 1075, 1067, 1057?\nAnswer: 1045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1156 divided by 17.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -912*y + 907*y - 18 + 3 = -3*g + 10, -3*y = -3*g + 21 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 4:49 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) -172 (c) 8 (d) 1 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than 1864?\nAnswer: 1864.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -221.5186 to the nearest ten.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 145314 and 1638?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 5*y**2 - 31*y - 2. Let u(c) = -2*c. Give u(o(z)).\nAnswer: -10*z**2 + 62*z + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 85, 537, 1767, 4165, 8121, 14025, 22267?\nAnswer: 33237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 249634927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -c**3*d**3 + 47*c*d**3 + 12*d**3 + 6 wrt c?\nAnswer: -3*c**2*d**3 + 47*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5377 and 215646?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dje when three letters picked without replacement from evvvevvvjvyddvvvvvcv.\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (294*k + 18*k**3 - 294*k)*(-4*k**2 - 2 + 2) + (0 + 2*k + 0)*(-2*k**4 - 5*k**3 + 5*k**3) + 3*k**5 + k**5 + k**5.\nAnswer: -71*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -11 + 2?\nAnswer: -f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3884*u**4 + 18*u**3 - u**2 + u - 603. Let a(b) = 2*b**4 - 6*b**3 + 2*b + 1. Let d(n) = -3*a(n) - l(n). What is the second derivative of d(p) wrt p?\nAnswer: -46680*p**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**21))\/z*z)\/z**(17\/5) assuming z is positive.\nAnswer: z**(-122\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-44*u - 27 + 11 + 16)*(u + 0*u - 4*u) + 1734*u - 1734*u + 120*u**2 to h + r*u + y*u**2 and give y.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -564, 62, 15, 4, 1, 3 in ascending order.\nAnswer: -564, 1, 3, 4, 15, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/21 + 0)\/(5832\/20412).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2619714 is divided by 1045?\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1996207, -3992452, -5988711, -7984990, -9981295, -11977632, -13974007?\n\"Answer: -n**3 - n**2 - 1996235*n + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -124, -393, -876, -1603, -2604, -3909?\nAnswer: -5548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -3 - (-6 + 0)) + -39 + 45\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 52 = -43, 2*y = 2*w + 4 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 4*b - 12, 6 = x - 0*b + 2*b. Suppose x = 5*q - 2*q - 15. Solve -4*y + 0*g = -q*g - 16, -5*g = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1863 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*a + 13*a + 3024 = 0. Suppose 13*d = 22*d + a. Let w(l) = l**2 + 13*l - 3. What is w(d)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of n**5\/12 - n**4\/24 - n**2. Let u be d(1). Suppose u*p - 61 = -b + 30, 0 = 3*b - 5*p - 239. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 43142 + 5?\nAnswer: 43150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 809632?\nAnswer: 2, 25301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + 9*c**2 - 14*c - 15. What is p(-11)?\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48985, -97913, -146841, -195769, -244697?\nAnswer: -293625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 865598 is divided by 288516?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 8. Suppose 15 = -3*m - 2*m, b*m = 2*i - 52. What are the prime factors of i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s + 51. Let h(q) = 36*q - 414. Let n be h(11). Determine t(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.1792 - 1.76897. Let x = 0.59 + j. Round x to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 20. Let h be m(0). Let g be (-48)\/h + (1 - -2). Which is the biggest value? (a) 4 (b) g (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 8*d, -2*m + 2*m + 5*m - 4*d + 2671 - 2532 = 0 for m.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = k. Let d be 4*(2 - 3)*(-3)\/(-39). Which is greater: k or d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1084 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: In base 14, what is -857 - -6?\nAnswer: -851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -117.2 - -110.854. Round s to one decimal place.\nAnswer: -6.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 equal to 125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 6*z**2 - z - 4. Let g = 267 - 264. What is the units digit of t(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1170 and 27755910?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 314749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + o = 3*q - 12, -15 = -3*q. Let l = -21 + 31. Calculate the least common multiple of o and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2811.76487 and 0.03?\nAnswer: 2811.79487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -27, -132, -315, -576, -915, -1332?\n\"Answer: -39*p**2 + 12*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that b**4\/6 - 1343*b**3 + 3554848*b**2 - 9241759835*b\/3 + 18419604901\/2 = 0.\nAnswer: 3, 2029, 3013","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of k**6\/20 - k**5\/60 + k**4\/24 + 6*k**2. Let w be b(1). What is the greatest common factor of 4 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (13 - -9) + -41 + 11 + -134.\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166 - 44 = -70*j. Let h(r) be the third derivative of 0 + 0*r**4 + 1\/3*r**j - 1\/10*r**5 + 0*r - 13*r**2. Differentiate h(l) with respect to l.\nAnswer: -12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1426*q**3 + 549116 - 549116)*(-3*q**2 - 4*q**2 + 4*q**2).\nAnswer: 4278*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + 9*w**2 - 3*w + 4. What is z(-8)?\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 5*p**2 + 646140*p + 20874844980 = 0.\nAnswer: -64614","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 + 21. Suppose d*w + 0*w = 684. Find the common denominator of -123\/10 and 8\/((-96)\/w) - (-1 + -1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2850.471nm to kilometers.\nAnswer: 0.000000002850471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 107137955 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 k when four letters picked without replacement from {s: 1, k: 2, h: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + 1. Let n = p - 4.8. Which is the smallest value? (a) n (b) 0 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -6 + (4 - 3) + (-119 - -122)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zjh when three letters picked without replacement from {z: 10, h: 6, j: 4}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2*264\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h - 7. Let m be u(11). Suppose m*t - 49 = b - 0, 65 = 5*t - 5*b. What is the remainder when t is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 2*t - 278, -z - 4*z = 2*t - 292. Let k = -94 + t. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -9, 2, -2\/449, 4\/15?\nAnswer: -2\/449","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20 by -1360428.\nAnswer: 5\/340107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 8*n**2 - 5*n - 1. Let t be (-7)\/((-1)\/2 + (-15)\/(-10)). Give g(t).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2 = 2*q, -4*n + q + 10 = 0. Let l be (-2)\/(2\/(-3)) - 0. Suppose 31 = l*u - b, 0 = -2*b - 0 + 10. Solve 3 = -n*r - u, -a - 8 = 2*r for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3787 and -14.\nAnswer: -5.3018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 117743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 880, -25, -5, -1 in decreasing order.\nAnswer: 880, -1, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pvpppvppvvvpvpvpvvp. What is prob of picking 1 v and 2 p?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uq when two letters picked without replacement from oqwouu.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-4) - (-705099)\/12. Suppose 18*z - 15*z - t = 0. Let c = z + -9586. Round c to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-18)\/c)\/c**(-4\/7))\/(c\/(c**(2\/5)*c)*c)**46)**(-3\/2) assuming c is positive.\nAnswer: c**(4833\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(9)\/(sqrt(3)*3) + -3 - (3 + (sqrt(3) - (sqrt(3) + (1 + sqrt(75) - sqrt(75)))) + sqrt(3) + sqrt(3))**2).\nAnswer: -76 - 92*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 389.38 to the nearest 10.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2027508 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -119268283*b*l + 3*b + 547893657*l with respect to b.\nAnswer: -119268283*l + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 10) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -2*i + 38. Let j = 26 - i. Let c(z) = 13*z - 2. Let o(w) = -1. Let d(l) = -c(l) - 2*o(l). Let x(p) = 4*p - 1. Give j*x(h) + 2*d(h).\nAnswer: 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 784203, 784206, 784211, 784218?\n\"Answer: p**2 + 784202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1170 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000167344392 rounded to 6 dps?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 456\/(-14440)*684\/108.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34524, 69053, 103596, 138159, 172748?\nAnswer: 207369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1568*2.66083.\nAnswer: -4172.18144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 117?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 176840 and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one quarter of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 9. Suppose c + 35 = m*c. Is c smaller than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -79 - -46. Let a = -33.021 - v. Let n = -0.0209951 - a. Round n to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*k = -2*n + 47*k - 3, 0 = 2*n + 3*k + 13 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.2, 0, -20.546, -2\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2175 and 5.5.\nAnswer: -2169.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1469\/3, -0.013, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 20 = 0, -3*w + 7*m - 2*m = -721. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 7*u. Let o(c) be the second derivative of -c**4\/12 - 5*c. What is o(n(f))?\nAnswer: -49*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*s = -28*s + 15*s - 1384 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 12204794, 24409587, 36614380, 48819173, 61023966?\n\"Answer: 12204793*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1877, -8579, -21743, -43001, -73985?\nAnswer: -116327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 28219.54949 rounded to the nearest 100?\nAnswer: 28200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1715184.\nAnswer: 2, 3, 43, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/5 (b) -3.7741 (c) -3\/26 (d) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + 7*l**2 - 2*l - 3. Let t(q) = q**2 + 15*q - 23. Let b be t(-16). Let k be r(b). Let s = 33 - k. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-3*(sqrt(95) - (sqrt(95) - -6*(sqrt(95) + sqrt(95)*1))))\/((sqrt(240)*-2)\/sqrt(3)))**2.\nAnswer: 6156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 + 6*y - 6. Let o be g(4). Suppose 0 = -2*v - 10, 2*u - o*v = -0*u + 8. Let p be 0*((-66)\/18 + 4). Which is greater: p or u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 893968491 to the power of 1\/3, to the nearest integer?\nAnswer: 963","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 0.04, 207.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -16. Calculate the least common multiple of f and (-12)\/(2\/(4\/(-3))).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(1\/(8\/12)). Sort -3, 17, t, 4 in decreasing order.\nAnswer: 17, 4, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3*m = 7. Suppose -2*l - 150 = -m*l. Suppose 0 = -5*t - g + l, -2*t + 4*g - 4 + 38 = 0. What is the remainder when 12 is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 640 a factor of 16027698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 53275 + 6?\nAnswer: 53282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (23 + -17 + 0 + 1 + -7).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h**3*w - 52*h**3 + 104*h**2*w - 301*h**2 - 2562909*h*w - 4*w wrt h.\nAnswer: -12*h*w - 312*h + 208*w - 602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9490.9865 - 9485. Let l = -208 + 214. Let b = l - h. Round b to three decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 757351857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*s = -49*s + 986100. Is s a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 110010?\nAnswer: 110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -379428 + 150294290.\nAnswer: 149914862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(21)\/(sqrt(175) + sqrt(7) + sqrt(7)) - (-1 + -3*sqrt(3)))**2 - (-3 + sqrt(3) + (sqrt(3) + 0 - sqrt(3)) + sqrt(3) + 4 + 4 + 1).\nAnswer: 30*sqrt(3)\/7 + 1305\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 148*g + 2644. Let t(q) = -66*q - 1323. Calculate -9*t(l) - 4*y(l).\nAnswer: 2*l + 1331","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) + 1 - sqrt(612)) + sqrt(612))*4 + 5 - ((sqrt(272) + 2)*1 + ((-1 + sqrt(272))*5)**2).\nAnswer: -6818 + 220*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 518701 to the nearest integer?\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14965.\nAnswer: 5, 41, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7 and -0.2037809.\nAnswer: 6.7962191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 139367, 278729, 418091, 557453, 696815, 836177?\nAnswer: 975539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + 6*v + 4. Let z(o) = -3*o + 15. Let l be z(7). Let t be 286\/39 - (-2)\/l. Calculate f(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3434350 and 350?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(1331) + -1 + sqrt(1331) + 5)**2 + -4 - (4 + sqrt(1331)*-2 + 4))*3.\nAnswer: 2376*sqrt(11) + 63936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**3 + 0*c**3 + 5*c**3)*(c**2 - 2*c**2 + 0*c**2) - 3*c**5 + 5*c**3 - 5*c**3 + (7*c**3 - 3*c**3 - 3*c**3)*(3*c**2 - 4*c**2 + 2*c**2).\nAnswer: -4*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -399 + -15?\nAnswer: -3ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 + 256. Let k = 311 - i. What is the common denominator of k and 103\/84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + -4. Let m be (0 - 1)\/(h\/2). Let f = -0.278 - -13.278. Is m > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65768*s**2 + 526140*s + 32 = 0 for s.\nAnswer: -1\/16442, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143907649?\nAnswer: 6659, 21611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d + 9. Let f be (-2814)\/(-12) - 2\/4. Let l = f + -142. Calculate the remainder when l is divided by w(10).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1196 is divided by 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fefeftktefktk. What is prob of sequence ektt?\nAnswer: 9\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 4 + 0 + -1 + (31 + -38 - 20).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -14*o - 82. Give b(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -30*d**2 + 19*d - 5. Let h(n) = 15*n**2 - 10*n + 3. Let m(j) = -7*h(j) - 4*i(j). Calculate the remainder when m(3) is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 310 and 40.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 11*s**2 + 44*s - 28. Calculate j(8).\nAnswer: 516","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 + 7*a + 2. Let l be f(5). Let d = l - 10. Solve 8 = -4*t, d*t = 4*m - 2*t - 28 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -92. Let r = 110 - w. Suppose -3*f + r = -29. Is f a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 4*b + 6. Let d be w(2). Suppose d - 4 = 5*m. What is the tens digit of 7\/((-14)\/(-114)) - m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 28?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 7. Suppose z + 3 = c, -3*z - 4 = -5*a + 15. What is the second derivative of p**a + 50*p - 13*p**3 - 55*p - p**2 wrt p?\nAnswer: -78*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/(2*sqrt(2)))\/sqrt(12).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 4*b + 23, 0 = -2*a + 4*b + 5 - 7. Solve 5*z = 4*z - a for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*p**3*w**4 + p**3 - 8179*p**2*w**4 - 78441*w**2 wrt w?\nAnswer: 48*p**3*w - 196296*p**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2526 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + (sqrt(117) - sqrt(117)*-1))*-1)\/(sqrt(576)*1).\nAnswer: -3*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3608 - 3602. Calculate the lowest common multiple of 366 and r.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -4*v**2 + 5 - 6*v + 3*v**2 + 5*v. What is w(4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 307\/5 - 2334\/35. Calculate the common denominator of 61\/106 and j.\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*d - 57*d - 3*d**5 + 4*d**2 + 78*d)*(1 - 3 + 4).\nAnswer: -6*d**5 + 8*d**2 - 8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 279 and 2.\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence puc when three letters picked without replacement from pppnculpcncpnpcp.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (399\/76)\/(3\/16). What is the highest common factor of 112 and j?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 9 + 1 = 0. Let q be -36 - -4*(-5)\/j. Let h = 89 + q. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 6*c**3 - 173*c**2 - 65*c - 76. Let t(h) = 11*h**3 - 348*h**2 - 129*h - 149. Let o(i) = -9*q(i) + 5*t(i). Find the second derivative of o(v) wrt v.\nAnswer: 6*v - 366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1 + sqrt(425) + 4 - (1*sqrt(425)*5 - sqrt(425)))**2.\nAnswer: -90*sqrt(17) + 3834","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 683612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 0.12, -0.1, -5 in ascending order.\nAnswer: -11, -5, -0.1, 0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/291 and 85\/1642.\nAnswer: 477822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 926.\nAnswer: -3, 3, 926","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3\/1054594?\nAnswer: -3\/1054594","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.0433 to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.25 and -832.\nAnswer: -208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*l**5 + 4*l**3 + 1402*l**2 + 276*l + 39?\nAnswer: 60*l**3 + 24*l + 2804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 139\/(-57) + 24 + 477\/(-27) + -4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f + 1. Let q(g) = 6*g - 7. Let c(b) = -q(b) - 3*z(b). Let v = 11 - 7. Let h = 7 - v. What is c(h)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 743650 and 2650.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 451 + -199. Is 12 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**5 - 504*u**4 + 27320*u**3 + 176340*u**2 + 330282*u + 181764 = 0. Calculate u.\nAnswer: -297, -3, -2, -1, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.06 + 1.94. Let g = 14 + -14.45. Let n = g - -0.05. Which is the closest to -0.3? (a) -1\/3 (b) t (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -239201 - -3?\nAnswer: -2391a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11779 is divided by 513?\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.017 - 0.113. What is the biggest value in -3, y, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33805 = 421*g + 13176 for g.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000012033 rounded to 6 decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 AM and 12:30 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8742*t - 7291*t + 1960*t + 15511*t.\nAnswer: 18922*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2823, 2822, 2821?\n\"Answer: -h + 2824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t + 4. Suppose 4 = -2*j, -2*g = -4*g + 5*j + 28. What is the least common multiple of h(-6) and (-12)\/(-8)*30\/g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -80, -187, -290, -389?\n\"Answer: 2*w**2 - 113*w + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 7 + 10 = 3*r, 3*r - 3*x - 9 = 0. Suppose r*o - 2*d - 20 = 0, o + 5*d + 3 = 7. Suppose 246*p - 248*p - 2 = 0. Put -11, p, o, 3 in increasing order.\nAnswer: -11, p, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 10. Let i(g) = 20*g. Let m be i(-4). Let t be (-3)\/((-5)\/(m\/12)). What is the closest to 0.1 in t, 0.1, r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22152\/(-12922))\/(2*3\/10)?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -1746?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, 1\/4, -25, 1\/7.\nAnswer: -52, -25, 1\/7, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -312 divided by 156.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of w**4\/24 - w**3\/6 - 45*w**2 + 2*w. Let l(t) = 3*t - 6. What is l(k) - 6*u(k)?\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 797953.\nAnswer: 13, 61381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/45)\/((-2)\/(-18)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 1:28 PM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 9*h**2 + 14*h + 5. Let k be o(7). Suppose -2*j + 442 + 1440 = -3*u, -3*j = -k*u - 3135. Let r = u + 1421. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16317 + 39623. What are the prime factors of b?\nAnswer: 2, 43, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 5 (b) 4 (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d**2*v**2 + 500*d**2 - 571*d*v**4 + 2*d wrt v.\nAnswer: 2*d**2*v - 2284*d*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.1 + 3.10049. Round c to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -79\/160 - -3\/32. Suppose -62*o = -58*o + 444. Let x = -106 - o. What is the nearest to h in x, -1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-28)\/(-7) - 16\/(-1). Suppose -4*d + 2*l - h = -8*d, -20 = -4*d - 4*l. Solve 2*w - d = 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/10)\/(((26 + -4)\/((-22)\/(-4)))\/260)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 7296461 and 7296464 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of x**2\/2 - 1. Let p(s) be the first derivative of 2*s**3\/3 - 6. Give p(n(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7)\/(21\/(-36)) + 0. Let b = 1 - -11. Calculate the greatest common factor of b and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -265, -218, -139, -28, 115?\nAnswer: 290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2348*n**2 + 1269*n**2 - 1162*n**2.\nAnswer: -2241*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1*(sqrt(190)*-1 - sqrt(190))*-6)\/(-1*(1*sqrt(10) + sqrt(10)) + sqrt(10) - sqrt(1440)*-2).\nAnswer: -24*sqrt(19)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164 + 236 - 7*f**3 - 71.\nAnswer: -7*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 85 - 71 = 0. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 286*u**3 + 1198343*u**2\/5 + 251054744*u\/5 + 526683\/5.\nAnswer: (u + 419)**2*(1430*u + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 7 - 1)*(3 + 2*y - 3) - 25 - 68*y - 63*y + 100 + 126*y.\nAnswer: 11*y + 75","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/14496 and -97\/16.\nAnswer: 14496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 56\/5 (b) -5 (c) -0.8 (d) 0 (e) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and -71889.\nAnswer: -71886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -50*q**2. Let x(r) = r**3 + 5*r**2 - 6*r - 8. Let p be x(-5). Let j(m) = -47*m**2 + p*m**2 + 24*m**2. Give d(j(b)).\nAnswer: -50*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2342*z = -2348*z + 15882. List the prime factors of z.\nAnswer: 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 14 + 6 = 0. Let p be (-32 - o)*2\/(-8). Suppose -3*j + 5*w + 1 + 15 = 0, -14 = -2*j + 5*w. Solve -4*l - p = -d, 6*d = j*d + 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2067, 2083, 2123, 2199, 2323, 2507?\nAnswer: 2763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*o**3 + 0*o - 2 + 11*o + 12*o**3 + 46*o**3 as m*o**2 + k + c*o + p*o**3 and give c.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 956.\nAnswer: -4780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w. Let h(z) = -46*z**2 - 1396*z + 18. Let j(r) = 13*r**2 + 399*r - 5. Let a(s) = 5*h(s) + 18*j(s). What is b(a(m))?\nAnswer: -4*m**2 - 202*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 4*t + 21. Let f be i(-7). Let k(o) = -o**3 - o**2 + o + 2. Let u be k(0). Solve f = -4*h + 5*x - 22, 0*x = 2*h + 4*x - u for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**3\/10 + 99*z**2\/5 - 6534*z\/5 + 143748\/5 = 0. Calculate z.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19232.\nAnswer: 2, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 1. Let f(x) = -20*x**2 - 6. Calculate -f(y) + 6*s(y).\nAnswer: 14*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5162 + 1?\nAnswer: -5161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 2*g - 72 = 0, 8*g - 5*g = 2*c + 44. What is the common denominator of -1\/2 and (c\/(-10))\/(414\/529)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 10:55 AM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 16 - -6 - (15 - 7)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 115 + -89. Find the second derivative of 0*n - f*n + 10*n**3 - 14*n**3 + 35*n**3 wrt n.\nAnswer: 186*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y = -8*y. Suppose 4*j - j + 24 = y. Let b(d) = -d - 5*d - 3*d - d**2 - 9. Determine b(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c**3 - 7*c**2 + 3*c. Calculate the remainder when n(-6) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = j + 3, -3*i + 4 = -j + 3*j. Suppose 5*f = 4*s + 778, -3*f + i*s = -4*f + 150. Is f a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*h + 25*h = 0. Let a(n) = -n**3 + 3*n + 2. Let s be a(h). What is the highest common divisor of 6 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 5*z**2 - 14*z + 6. Let q(b) = -3*b**2 + 9*b - 4. Calculate -5*m(y) - 8*q(y).\nAnswer: -y**2 - 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 7 = 3. Suppose -3*f = v - 1, -2*v = v + t*f - 3. Let n = v - -6. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74 divided by 703\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-3*(-305)\/60.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1711404781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 6*m**2 - 8*m - 5. Let g be i(-7). Suppose -34 = 5*w - 49. Suppose 4*n + g*d + w*d = 22, n = 3*d - 3. Solve -5 - n = 2*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 13 - 133 = 0. Calculate the remainder when m is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3850 and 8658.\nAnswer: 4808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1136?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5986 + 7103. Is 28 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 16. Let g = 49.5 - 23. Let p = g + -26. Put p, -0.4, a in increasing order.\nAnswer: -0.4, p, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14450 is divided by 1288?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + 7 + -14 - (-1 + 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**2 + 1110*n + 4*n**3 + 0*n**3 - 2*n**4 - 1108*n - n**2 + 1 to the form b*n**4 + y*n + k*n**3 + s + u*n**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7033 by -541.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.155 - 3.845. Which is the biggest value? (a) -16 (b) 1\/3 (c) y (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 95119431, 95119432, 95119443, 95119470, 95119519?\n\"Answer: f**3 - f**2 - 3*f + 95119434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*p - 140 = 0, 0 = -15*p + 14*p + 4. What is the smallest value in y, 1, -1, -0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-243 - 22*a + 873 - 622)*(2 - 1 - 3).\nAnswer: 44*a - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.73 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 9:40 PM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + 21*k + 56. Let z be y(23). Calculate the greatest common factor of 50 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -87805, -175611, -263423, -351247, -439089, -526955, -614851?\n\"Answer: -y**3 + 3*y**2 - 87808*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddrdre. What is prob of sequence rder?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/3))**(-45)*(i\/i**(-2))\/(i*i**(-4)\/i)*(i*i**(-2\/5))\/(i\/i**(-6))*i**5\/i*i\/(i\/i**(-3\/8)) assuming i is positive.\nAnswer: i**(-431\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2*u**3\/13 + 670308*u**2\/13 + 72416810*u\/13 - 73087116\/13 = 0.\nAnswer: -109, 1, 335262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*l*r**6 + 4859*l*r**3 - 4766*l*r - r**2 wrt r.\nAnswer: 360*l*r**3 + 29154*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19268 divided by 1.\nAnswer: 19268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -31 + 30 - -7?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33528971 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -59 + (20 - 16) + 76.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1597 or 1595?\nAnswer: 1597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/10 (b) 4 (c) -0.85 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s**3 - 10*s**3 + 8*s**3 - s**3 + 2*s**3 + s**3 + (-2*s**2 + s**2 + 5*s**2)*(-3 - s + 3) to l*s**2 + g*s + z*s**3 + w and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19710258 divided by -172897.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millimeter in micrometers?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -2*o**5\/3 + 279568*o**4\/3 - 9769783304*o**3\/3 - 3354784*o**2\/3 + 117232926848*o\/3 + 156316533248\/3 = 0.\nAnswer: -2, 4, 69892","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(432) + -1 + 0.\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -750 = -15*z + 10*z. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -36*k - 104. Let n be u(-3). Let w be 11\/n + 1 - 24\/32. Factor 14\/13*j**w - 16\/13 - 60\/13*j**2 + 72\/13*j.\nAnswer: 2*(j - 2)**2*(7*j - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.029 - -2.871. Let a = -3 + w. Sort 0, 1, a.\nAnswer: a, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 831*v - 170*v + 41072 - 15954 = 0 for v.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 815381159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*d - r - 138 = 0, -238796 = 4*d - 5*r - 238847 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -8*t**2 + 2. Let c be w(-4). Let v = 187 + c. List the prime factors of v.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - 9*f - 13. Give o(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 9:05 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - (-1 - 0) - -99. Let j be 80\/30 - (-1)\/3. Suppose -8*d + j*d = -a. Calculate the greatest common factor of 5 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34 - 22. Suppose -20 = 5*c - 4*l, -3*c - 5*l + 37 = f. Let j = 97 - 1069\/11. What is the closest to c in j, 2, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (41 - (-13 + 52)) + 12.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17789061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/12)\/t**9)\/(t**(4\/7)\/((t*t*(t**(-2\/3)*t*t)\/t*t)\/t*t*t)))**27 assuming t is positive.\nAnswer: t**(-4023\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 69513 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -807 + -1887?\nAnswer: -2805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from {d: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4*q - 7. Let v be f(1). Which is smaller: -11\/4 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-15) + (-2)\/(-5). Let q = n - -7. What is the units digit of 2\/q - (-12)\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 32? (a) 3\/2 (b) 1440 (c) 0.5 (d) 2\/13 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 5*h**2 + h - 53 - 27 + 5*h**2 + 132 + h**3. Determine x(0).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2*k - 4, -h + 3*h + 5*k = -11. Let v(j) be the third derivative of 1\/6*j**4 + 0 - 1\/24*j**5 - 2*j**h + 1\/240*j**6 + 0*j - 1\/3*j**3. Factor v(x).\nAnswer: (x - 2)**2*(x - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2939144 divided by 9.\nAnswer: 2939144\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1158 minus -0.7?\nAnswer: 1158.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15.9 + 2.9. Let u = -9 - g. Let c = 424 + -7206\/17. Put c, 2, u in descending order.\nAnswer: u, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1585 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 72\/(-1710)*(-9310)\/196\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1052 - 1052 + 10475*p**2 - 10470*p**2.\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 55*x - 385 + 715 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -3 - (-4)\/8.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - 1\/5*-3. Let g = 3 - 4. What is the closest to g in 1\/6, -0.1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93784?\nAnswer: 2, 19, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 15 + 13. Suppose -2*n + 1 = -k. Let s = 8 - n. Solve -4*z - 24 = s*b, 4*z - z + 2 = b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**2 + 7*o - 9. Suppose -2*t - 3*u = 94, 3*u - 269 = 5*t + 2*u. Let y = 45 + t. What is the units digit of z(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 2*w + 101, -27*n + 4*w = -25*n + 26. Which is bigger: -17 or n?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -0.02 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76 + 628*i**3 + 296*i**3 - 76 + 3*i.\nAnswer: 924*i**3 + 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 7*o**2 + 6*o - 4. Let j be i(-6). Suppose 3 = f - 0. Suppose 3*b + 5 = -s, 4*b + 11 = f*s - 0*s. Put s, 2, j in descending order.\nAnswer: 2, s, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 5*r + 45, -3*v + 22 = -0*v - 2*r. Suppose 4*n + 565 = v*j + 197, j = 4*n + 89. Let z = j + -18. Does 4 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -516 - -965. List the prime factors of m.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 821 = 5*t, -4*t + 486 = -7*t + 4*n. Let j be t\/(-104) - (-16)\/(-728)*-7. What is m in -j*m + 1\/4*m**2 + 3\/2 = 0?\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3287740 to the power of 1\/2, to the nearest integer?\nAnswer: 1813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9366*g**3*w - g**3 - 183*g**2*j**2 - 25*g*j**2 - 29*j**2*w + 3*j wrt w?\nAnswer: -9366*g**3 - 29*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 22*o + 2. Let d be l(22). Suppose -5*m - d = -2*p, -4*p - 4*m - m + 34 = 0. What is the greatest common factor of p and 60?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4 + sqrt(882) + 2 + (0 + 3 + sqrt(882))**2)*-1.\nAnswer: -893 - 147*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - -8. Let f = -26 + v. Let d = 7\/26 + -3\/26. What is the closest to 0 in f, d, -0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 12:20 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (66\/18)\/((-33)\/((-7920)\/20))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2482 + -2486. Is p <= 8\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 4 = 0, -4*y = 2*b + b - 1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-3\/5)\/f**37 assuming f is positive.\nAnswer: f**(-188\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36 - -74. Let h = c + -19. Is 4 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2277565811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 45 - 2ed?\nAnswer: -2a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - 4) + 5 + -1. Suppose -2*q + 20 = -6*q. Let o = h + q. Is -2\/3 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 11. Suppose -2*m + 4 = 2*d, d - 3*d + 14 = 4*m. What is the biggest value in v, 4\/7, d?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 970125568 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, 2, 26, 80, 176, 326?\nAnswer: 542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 2*n + 12. What are the prime factors of z(5)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -140, -657, -1666, -3287, -5640, -8845?\n\"Answer: -20*u**3 - 126*u**2 + u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 1 - 7 + s**3 - 5*s**2 in the form u*s + v*s**2 + l*s**3 + y and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/29490940 and 119\/26541846.\nAnswer: 265418460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 692614678 a multiple of 404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 231107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16\/7*b**2 - 212\/7*b - 52\/7.\nAnswer: -4*(b + 13)*(4*b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54325346 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2035 is divided by 58?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 4*m + 432 = 28*m. Solve -8*q - 64 + m = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of c**2\/2 - 3. Let s(v) = v**2 - 7*v. Calculate a(s(w)).\nAnswer: w**2 - 7*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 7*h**2 - 151. Let o be w(-9). Solve 2*x = -o + 5 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/382434 and -125\/29418?\nAnswer: 382434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1399 (b) -3\/4 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2396*z - 1895*z = -13026 for z.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mrrvrvcurrvvrmrrmrrv. What is prob of picking 2 v and 1 m?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 5*y. Let q(v) = -5*v + 1. Let p(m) = -4*q(m) - 5*x(m). Is p(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/(-3)*1*-3. Let b be (-1)\/((468\/8)\/y). Is b greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2443 by 535.\nAnswer: 2443\/535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1031 - 674. Calculate the remainder when b is divided by 102.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 2*y, 7*w - 3*w + 30 = -3*y for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccxvxvcccxxcxxccc. Give prob of sequence vxcc.\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -290 = 4*w - 334. Calculate the highest common divisor of 209 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 247 and 513.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186222763 is divided by 1978.\nAnswer: 1975","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c + 24*c**2 + 0*c + 4*c**2 to d*c**2 + i*c + j and give d.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 67867 less than -5?\nAnswer: -67872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 254*c**2 + 38*c - 11. Let r(t) = 85*t**2 + 13*t - 4. Let o(m) = 6*a(m) - 17*r(m). What is the second derivative of o(y) wrt y?\nAnswer: 158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -2) + -2 + 3 + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 82 = 3*r. Let w = -18 + r. Is w a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -111?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 124.3723ug to nanograms.\nAnswer: 124372.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 365 and 735.2?\nAnswer: 370.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 45, 70, 89, 96, 85?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, j: 1, r: 4, q: 1, s: 2}. What is prob of picking 1 s and 1 j?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -13*f. Let l(t) = 35*t**2 + 14*t + 28. Let v = -265 - -279. Let h(s) = -12*s**2 - 5*s - 10. Let q(r) = v*h(r) + 5*l(r). What is a(q(p))?\nAnswer: -91*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 193727, 193728, 193729, 193730, 193731, 193732?\n\"Answer: b + 193726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zvvpppv. What is prob of sequence vv?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(-16) - (-9)\/4. Suppose k*g - 2*g + 95 = 3*q, 0 = -q + 3*g + 45. Suppose q = -2*n + 4*n - 5*c, -16 = -4*n - c. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5338 (base 16) to base 8.\nAnswer: 51470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ij when two letters picked without replacement from ikjdejjijj?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 230.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 5*w**2 - 5*w - 5. Give r(-4).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -23, 20, 127, 298, 533?\n\"Answer: 32*h**2 - 53*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -26179*f + 104723. Give n(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 433643257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b + 0*b**3 - 2*b**3 + 0*b**3 + 10*b**3.\nAnswer: 8*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - 0 - (-2 - 0) - 0. Solve l + 4*d + 8 = w, 6*d + 10 = d for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.9 - 4.3. Which is the smallest value? (a) j (b) 4 (c) -2 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 32 - 32 = 0. Let x = a - -25. What is the greatest common factor of x and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -3 + -3 + 5 + 0\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(64) - sqrt(64))*-4)\/(sqrt(40)\/(sqrt(5) - (sqrt(90)\/sqrt(2) + sqrt(45))\/sqrt(9))))**2.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**7)\/j*j*j)\/j)**(-2\/37)*j**39*j**(-22)\/j*j assuming j is positive.\nAnswer: j**(641\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of 6*d**5\/5 - 5*d**4 + 2*d**3\/3 + 6*d**2 - 105. Let i(l) = 0. What is l?\nAnswer: -2\/3, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00411495 to four dps.\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -5*b - 118, 2*b - 7*b + 4*k = 127. Let i = -23 - b. Solve w - 13 = 4*h, i*h = h + 4*w + 16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**3 + 18*r**2 - 3*r + 2 + r - 15*r**2. Let k be b(2). Let q(t) = -68*t + 1. Is q(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, h: 2}. What is prob of sequence nnnn?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 + 908*m + 13104.\nAnswer: -2*(m - 468)*(m + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7171143 divided by 2191?\nAnswer: -3273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 2*k = 21304, 10644 = 4*o - 6*o + k. Let l = -3375 - o. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11\/2*b**3 - 2\/5*b + 7\/5*b**4 + 26\/5*b**2 + 0.\nAnswer: b*(b + 2)**2*(14*b - 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1653 + 80 = -143*t for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(18) + -2 + sqrt(18) + 0 - ((-2*sqrt(216) + sqrt(216))\/sqrt(4))\/sqrt(3).\nAnswer: 1 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 25 = -6*l. Suppose 105 = l*j - 10*j. Let p be (-1)\/(j\/12 + 2). Which is greater: p or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 823991 and 36844169?\nAnswer: 257909183","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -332 - -936. What are the prime factors of h?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99.12023m to millimeters.\nAnswer: 99120.23","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: (-11*20\/(-1210))\/(-1)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 7935.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2135892 and 9126084?\nAnswer: 100386924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -778445, -778443, -778441?\nAnswer: -778439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*((-8)\/3 + 2). Suppose -f*a = -2 - 4. Find the second derivative of 1 + 3*w**a + w - 3*w - 1 wrt w.\nAnswer: 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1588733\/24 + 66192. Find the common denominator of k and (1\/(-30))\/1*-86.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a - 1. Let k(n) = 2*n**2 + 11*n + 10. Suppose v + 0*v - 2 = 0. Let j(z) = v*k(z) + 22*l(z). Differentiate j(i) wrt i.\nAnswer: 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 + -4 + 1)\/(-1). Suppose w = z - 9 - 3. Let l = 19 - 3. What is the smallest common multiple of z and l?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.42633 and -6.\nAnswer: 2.55798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 1065745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -57\/3871001 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a gram in milligrams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in fifteen quarters of a second?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4387 + -4386.7. What is the closest to t in -1\/2, -0.02, -0.29?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1155 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: What is the second derivative of -1713108*d**4 - 4*d**3 + 37484556*d wrt d?\nAnswer: -20557296*d**2 - 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -617 (base 13) to base 8.\nAnswer: -2012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1698.2338 + -1699. Let f = 0.416116 + q. Let d = f - -0.35. What is d rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 49989500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 576 and 576?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 78*l + 75*l + 5*l - 147 + 57 with respect to l.\nAnswer: 158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*g - 148 = -52. Solve -12 = -g*b, -32 = -4*u - 5*b + b for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fuun when four letters picked without replacement from {f: 3, u: 2, e: 1, n: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/3 - 68665*q.\nAnswer: -q*(q + 205995)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8849.94 millimeters?\nAnswer: 884.994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 271, 537, 803, 1069, 1335?\nAnswer: 1601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2414 and 473722.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2186.95 + 2179. Round o to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.661 and 3?\nAnswer: 1.983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/26*1\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**4*u - 8*a**4 - 1713*a**3 - 14*a**2*u + 1850*a**2 wrt a.\nAnswer: 48*a*u - 192*a - 10278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 84?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1627, 0, -279, 3, -5 in descending order.\nAnswer: 1627, 5, 3, 0, -5, -279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (-1 + 11 - (8 - 11)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j**2 + 40*j + 79. Calculate n(-3).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 386328 = 4*z, -32*a + z = -29*a - 289744. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -646440 (base 7) to base 2\nAnswer: -11011100001011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*n - f + 8 = -108*n, -3*n - 34 = -5*f for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d - 33?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + -2 - (-22)\/10. Suppose u - 20 = -5*y, -2 + 17 = 2*y - u. Put y, s, 1 in increasing order.\nAnswer: s, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14.3 + 14. Which is the third biggest value? (a) 2\/9 (b) o (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2d5091 + 0?\nAnswer: -2d5091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -1 + (0 - 0 - (140 + -136))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o = 3 + 151. What is the greatest common divisor of 42 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -741, -740, -745, -762, -797, -856, -945?\nAnswer: -1070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -59288853.\nAnswer: -5\/59288853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/(-8)*(-1)\/1*1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -132 divided by -2240480?\nAnswer: 3\/50920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + -1 + 25\/(-4). Let s = u + 137\/20. Let m = -154 + 154.4. What is the second smallest value in s, m, 4\/9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(5\/3)\/t)\/(t\/((t*t**42)\/t)*t))**(4\/21))**39 assuming t is positive.\nAnswer: t**(6344\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 3 (c) 0.3 (d) -5\/147 (e) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -3) + 222\/27 + -2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2280933 a multiple of 207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69246033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 32*x - 1192. Let i be b(37). Let c(n) = 3*n + 1. Calculate c(i).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + 6*t + 96. Let k(x) = -x**3 + 4*x**2 - 8*x + 28. Let i be k(3). Let c be y(i). Solve -c = 5*s - 0*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -0.3 (c) 2 (d) -2675 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 173173 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 7:42 PM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -368 (b) 45 (c) -1\/355\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/12 and 131\/2484.\nAnswer: 2484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 999833.\nAnswer: 23, 29, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 26493124 divided by -826\nAnswer: -32074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6455 - -6460. What is the biggest value in 0.03, 1\/6, -0.2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184012 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 4*p**3 - 1200*p**2 - 8572*p - 7368 = 0?\nAnswer: -6, -1, 307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 258348330?\nAnswer: 2, 3, 5, 2870537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fjffffjf. What is prob of picking 3 f and 1 j?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s*s\/s**(2\/5)))\/(s\/s**(-4\/11)*s)*s**(-3\/8)*s\/(s\/s**9*s*s) assuming s is positive.\nAnswer: s**(1171\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6528\/1024 + (21\/28)\/((-2)\/16). Factor -3\/8*g - y*g**2 + 3\/4.\nAnswer: -3*(g - 1)*(g + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/3)*m)**(-44)*(m\/m**(1\/2))\/(m\/m**(-2)))**47 assuming m is positive.\nAnswer: m**(-4841\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 4*h = 5*b - 76, 66 = 5*h - b. What is the remainder when h is divided by 8*4*(-1)\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/2 + 2915*r - 8497225\/2.\nAnswer: -(r - 2915)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -4*u + 150. Determine r(37).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2085 or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b - -17118?\nAnswer: 1710b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 8*p - 1. Let z be (2 - (-15)\/(-6))*2. Let j(t) = -3*t**3 - t**2. Let q be j(z). Suppose -q = -v - v. Calculate f(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 2. Suppose -5*x = -m*h + 53, -2*h + 2*x + 73 = x. Suppose 20 = 3*t - t. Calculate the remainder when h is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/1 + 0\/(-2). Let c = 4 + 17. Let u = 25 - c. Solve 2*h + 3*r - 1 = 4, 2*h + z*r - u = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/88*(-121)\/22?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r + 928 = 373. Suppose -36*o = -r*o + 8. Solve 3*x + v = 11, -4*x + o = -0*x - 2*v for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 152, 0 in increasing order.\nAnswer: -3, -1, 0, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 386353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 7:17 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q + 2. Let p be f(0). Let k be (-70)\/(-9) - p\/(-9). Let j(x) = -x**2 + 8*x + 4. What is the units digit of j(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -71528, -143089, -214734, -286505, -358444, -430593?\n\"Answer: -7*x**3 - 71512*x - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 p when two letters picked without replacement from {m: 3, l: 4, t: 2, p: 2, i: 6, j: 1}?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-1*sqrt(228) - sqrt(171)\/sqrt(3)*-5)\/((sqrt(3) + -1*sqrt(12))*-6))**2 + 2.\nAnswer: -49\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 584281219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 1 = -4*c, -5*c + 120*g - 25 = 119*g for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.722 times 699\nAnswer: 504.678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 21 - 1. Suppose 4*k - 440 = -j*p - 0*k, -5*p - 4*k = -551. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26*o**3 + 34*o - 16 wrt o.\nAnswer: 156*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0196586043 rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 + -130031?\nAnswer: -130103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 1\/3, 0.06, -1\/3, -4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, q: 1, r: 1, c: 2}. Give prob of picking 1 h, 1 q, and 1 c.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*j - 17*j + 34 = 16*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -17*h + 86. Let k(c) = -2*c + 22. Calculate the remainder when s(2) is divided by k(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 229798290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -b**4\/4 + 2*b**3\/3 + 5*b**2\/2 - 6*b + 16. Let y be h(3). Solve -3*w + 8*w + 25 = y for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d**2 + 12*d - 15. Let i be h(-11). What is the highest common divisor of 27 and i?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/35)\/((-200)\/1000)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v + 0*v - 621 = 0. Let w be 3\/(-351)*2*v\/46. Is w bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0014585 rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18.3 - 20.7. Is -49 at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/19 in 262, -2\/5, -2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3390439 divided by 18941.\nAnswer: -179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -4*q + 1. Let t(y) be the third derivative of -y**8\/2016 + 161*y**5\/30 + 284*y**2. Let s(h) be the third derivative of t(h). Give c(s(z)).\nAnswer: 40*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39287*j**5 + 54768*j**2.\nAnswer: 2357220*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -23*i**2 - i. Give l(1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 96753, 193735, 290717, 387699, 484681?\nAnswer: 581663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(1200) + 2) + 0 + (sqrt(1200) - sqrt(1200)*-1) + 2 + 0)**2.\nAnswer: 960*sqrt(3) + 19236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3282949 is divided by 2794?\nAnswer: 2793","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33164 + 16998 = -411*l + 18104 for l.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/17 - 448832712*p\/17 - 25181350420159368\/17.\nAnswer: -2*(p + 112208178)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -1876*r + 1427. Is l(-131) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 6*u + u + 75, 69 = 5*x - u. Suppose -y - 3 + 18 = 0. Are y and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2601?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.03391027*-0.1\nAnswer: -0.003391027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*x = -48*x - 345. What is the least common multiple of 82 and x?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -230237*b**3 + 138540*b**2.\nAnswer: -1381422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 5*o + 1. Determine x(-5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002945294 rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5375151, 5375013, 5374875, 5374737?\nAnswer: 5374599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5 = -2*k + 2*b, 2*k - 4*b = 2. Let h(w) = -w**2 + 3*w + 3. Let g be h(k). Suppose -g*l = -41 - 28. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yennneiyyennyin. Give prob of picking 1 y, 1 i, and 1 e.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a century in years?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 370128 divided by -2.\nAnswer: -185064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26057 + -8428. Calculate the greatest common divisor of 244 and s.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3834 - 36169 - 330*b**2 + 5*b**3 - 20905 + 7260*b.\nAnswer: 5*(b - 22)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -2, 2\/13, 8258, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -z + 207, -3*z = -2*s + 4*s + 107. Suppose -3*w - 3*c = 321, -5*w - 3*c = -0*c + 543. Let t = s - w. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1945.\nAnswer: 5, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in five quarters of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of 8 + 4*b**2 - 3*b - 1\/3*b**3. What is k(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/30*(8\/(-1))\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141169 is divided by 8084.\nAnswer: 3741","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 0.028.\nAnswer: 0.0084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, p: 2, a: 1, y: 3}. Give prob of picking 3 y.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -829*u - 2278*u + 279270 for u.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7143 divided by -6.\nAnswer: 2381\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m + m**4 - 2*m - 2*m**4)*(0*m - 5*m + 7*m).\nAnswer: -2*m**5 + 6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(684) - (1 + 0 + sqrt(684))) + -5 - (-2*2*sqrt(684) + -1))*2)**2.\nAnswer: -1344*sqrt(19) + 43972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002916 rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 37*u + 25. Let t(d) = -12*d - 8. Let s = -18 + 14. Let w = s + 15. Let j(i) = w*t(i) + 4*n(i). Find the first derivative of j(z) wrt z.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 45\/10 + -5 + 2\/4. Solve -x - l - 4 + 0 = t, l = x + 2 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18319 + 18488. Calculate the remainder when 426 is divided by c.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 333*b - 1557. What is r(6)?\nAnswer: 441","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1*n)**(1\/2)*(n**3\/n)\/((n**(1\/7)\/n)\/n)*(n*n*n**(-3)*n)\/n*n**(-2\/3)*n*n**7*(n\/(n*n*n**(-2\/3)*n)*n)\/n assuming n is positive.\nAnswer: n**(69\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 + -0.4. Let x = 3.6 - 3. Let i = x + p. Which is the second smallest value? (a) 3 (b) i (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - 1. Let s be o(0). Suppose 0 = -395*g + 410*g - 15. Sort 5, 6, s, g in descending order.\nAnswer: 6, 5, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 4*h - 90. Suppose -12*i + 6 = h. Let d(x) = -x**2 - x - 1. Let m(y) = 3*y**3 - 15*y**2 - 15*y - 15. Determine i*m(t) + 30*d(t).\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5947?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/1941 and 77\/19410.\nAnswer: 19410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - -1239289410.\nAnswer: 1239289409.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 572960, 572955, 572950, 572945, 572940?\nAnswer: 572935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -334?\nAnswer: -341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f + 26*f - 108 = 64. Let i(s) be the third derivative of 0 + 7*s**2 - 1\/30*s**6 + 8\/3*s**3 + 2\/15*s**5 + 7\/6*s**f + 0*s. Factor i(j).\nAnswer: -4*(j - 4)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 373786\/39 + -9585. Let m = s + 2\/3. Which is smaller: 1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14329\/9 - 1592. Let f = -86\/91 + 16\/13. Which is the third biggest value? (a) -0.4 (b) f (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -12*h**5 + 24926*h**4 - 53962*h**3 + 24894*h**2 + 12454*h - 8300 = 0.\nAnswer: -1\/2, 2\/3, 1, 2075","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.7 - -2. Let k = -0.1 + w. Let i = -0.014 - 0.386. Sort i, k, 0.1 in increasing order.\nAnswer: i, 0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -2, -5, -0.635896, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*i - 55 + 27 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.189247 times 0.5?\nAnswer: 0.0946235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.28 - 0.02. Let i = -79 - -631\/8. Suppose 6*m - m = 20. Sort a, i, m in increasing order.\nAnswer: a, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 759 and 21367?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 275, 1225, 2901, 5375, 8719, 13005?\nAnswer: 18305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5742 and 1264516?\nAnswer: 11380644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -20, 24\/37, -15?\nAnswer: 24\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -6. Suppose -4*q + r*q - 4 = 0. Let a be q*(0 - -3 - 6). Solve 0 = 2*d + 5*z - a, 4*d + 9 = 2*z + 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/8 and -15\/926.\nAnswer: 3704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -3*k**2\/2 + 1. Let t(j) = 6*j. Determine w(t(f)).\nAnswer: -18*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - 32*y - 61. Let h(w) = -2*w**2 - 33*w - 60. Let t(q) = 3*d(q) - 2*h(q). Is t(36) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -191.5*4.\nAnswer: -766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -11*p**5 + 35*p**4 - 48*p**3 + 29*p**2 + 5. Let n(w) = 6*w**5 - 18*w**4 + 24*w**3 - 15*w**2 - 3. Let h(z) = 3*l(z) + 5*n(z). Factor h(s).\nAnswer: -3*s**2*(s - 2)**2*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 50, -5\/4, 5, -1068, -2 in decreasing order.\nAnswer: 50, 5, -5\/4, -2, -1068","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -71\/61?\nAnswer: -71\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -20. Which is the fourth smallest value? (a) -5 (b) 2\/13 (c) 3 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -160\/3? (a) 55 (b) 1 (c) 0 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 720337 divided by -2.\nAnswer: -720337\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s**3 - s + 3*s**3 - 4*s**3 - 3 - 3*s**3 to r + w*s + q*s**3 + z*s**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 293133 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of u**3\/3 + u**2 + 3*u + 2. Suppose 2*m - 4*v = 0, 5*v + 3 = m - 0. Determine l(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000003198 rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 255744 and 154944.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z**3 + 4*z**3 - 2*z**3)*(-5 + 5 - 3*z).\nAnswer: -21*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -0.139?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in eleven halves of a microsecond?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven quarters of a year?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -a**5\/180 + 7*a**4\/72 + 22*a**3\/9 + 2*a**2 - 15*a. Factor k(b).\nAnswer: -(b - 11)*(b + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -78, 0, -0.18?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 6. Suppose 0 = -5*s + y + 11, y + 0*y + 3 = s. Solve k*h - 3*g = 28, 5*h + 4*g + s - 6 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*-4*2\/(-4). Solve -o*w = 6*d - d + 12, -w + 24 = -5*d for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2522.69 * -27.\nAnswer: -68112.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (2*161\/(-42))\/((-1)\/291) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 5*k + 227. Let t be b(-43). Let z be (-17)\/(-68)*t\/(-5). Is -2 < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**4\/7 + 48*y**3\/7 + 158*y**2\/7 + 108*y\/7 = 0. Calculate y.\nAnswer: -2, -1, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/329098?\nAnswer: 3\/329098","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 7*r**4\/4 + 8*r + 8. What is the first derivative of t(a) wrt a?\nAnswer: 21*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-6) + (-39683)\/21. Let s = h - -4393. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**3 - q**3 + q**3)*(237*q - 48*q + 193*q - 5*q).\nAnswer: 377*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-731)\/(-1118) + 4\/(-26))\/((-195)\/(-10))\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**18\/x*x*x**42*x**(11\/2)*x**(-1) assuming x is positive.\nAnswer: x**(129\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -1532, -210, 0.1?\nAnswer: -1532","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -128630, -257282, -385934, -514586, -643238?\n\"Answer: -128652*y + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-317)\/(-2) - (-1)\/(-2). Suppose 3*x = b + g, b - 145 = -5*x + 121. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 + 1)*(3*i - 2*i - 2*i)*(0 + 3*i - 1 - 2*i) to the form r + s*i**2 + k*i and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and -11.8896.\nAnswer: -11.7896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 4*q**2 + 10*q + 11. What are the prime factors of b(-7)?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 689123 or 689125?\nAnswer: 689123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -8*-4352227\nAnswer: 34817816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -823, -2 in descending order.\nAnswer: 3, -2, -823","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2544618 = 3*h - 48144593, 0 = -5*h - 5*d + 75999975. What is h rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8055 a factor of 1310508694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a millennium in months?\nAnswer: 74400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 297836 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -5, 4, 27, 70, 139, 240?\nAnswer: 379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-30)\/(-100))\/(6\/(20\/1050*-25))\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5532346 millennia in months?\nAnswer: 6638.8152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 755295 to the power of 1\/3, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(320))*5*2 - (1*(2 + sqrt(320)) - (-3 + (sqrt(320) - (sqrt(320) + sqrt(320)*-1 - sqrt(320)) - sqrt(320)))))**2.\nAnswer: -4000*sqrt(5) + 32625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1458 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 2*t**2 + 4*t - 4. Calculate q(4).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(704))**2 - (sqrt(11) + sqrt(44) + 0) - (1 + 1*sqrt(539)))*-4.\nAnswer: -11260 + 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4a05c4 - -14?\nAnswer: 4a0608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 + 2*y**2 - 10*y**2)*(y**2 - 2*y**2 + 0*y**2).\nAnswer: 9*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of -t**4\/24 + t**2. Let k(y) = 0*y - 2*y - 2*y + 1. Suppose 3*s + 17 = -4*b, -5 = -2*b + 5*s - 2*s. What is b*k(a) + 7*q(a)?\nAnswer: a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2052, -5, 1.4, 2, -1, 1?\nAnswer: 2052","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v + 41. Determine f(27).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -184*c - 46. Let p be b(11). Round p to the nearest 100.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -74\/46804819 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 19*k + 4. Let q(s) = 20*s + 3. Determine 4*p(j) - 5*q(j).\nAnswer: -24*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63 + 26 - 4)*(-14*l**4 - 6*l**4 + 5*l**4).\nAnswer: -1275*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22411313 - 1?\nAnswer: -22411314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2775 - -13919\/5. Suppose -3*p - 3*q - 6 = 0, 4*q = 3*p + p + 32. Find the common denominator of y and 21\/6*12\/p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56\/6*(-5 + 2)*-2.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 - 1. Let j(i) = 7*i**3 - 5. Let k(y) = -y**3 - y**2. Let q(z) = -j(z) + 4*k(z). Let u(l) = -q(l) - 5*w(l). What is the units digit of u(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 9. What is the first derivative of n*g**3 - 2*g**3 + 2*g**3 - 3*g**3 + 3 wrt g?\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 h when two letters picked without replacement from {w: 4, n: 3, z: 3, o: 2, v: 4, h: 4}?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -231738083*n**3 + 863*n**2 - 61249?\nAnswer: -1390428498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -22*u**2 + 17*u - 115. Let n(w) = -21*w**2 + 17*w - 111. Let y(a) = -7*n(a) + 6*t(a). List the prime factors of y(5).\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 850\/884 - 6\/13\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1883\/4, 0.4, 3, 2\/13?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 118 = -2*l, l + 0 = 4. Let w be 18\/4*(26 - -2). Suppose 4*u = z + w. Calculate the greatest common divisor of u and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 11) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/5 - 1754*u**2\/5 + 720314*u\/5 - 62158558\/5.\nAnswer: -2*(u - 161)**2*(u + 1199)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 1)*-2 + -3. Let p = -87 - -89. Suppose 2*w = -w + 3*g - 15, -w - 2 = 2*g. Put p, s, w in decreasing order.\nAnswer: p, s, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/5 (b) 5.24 (c) -65 (d) -1\/5 (e) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30017 + 41131 - 31*a**2 + 91*a**2 + 924*a - 30*a**2 - 27*a**2.\nAnswer: 3*(a + 154)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 57 + -56.47. Let v = 13 + -13.9. Let c = o + v. Round c to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2240*i + h + 19 = -2244*i, -19 = -493*i + 492*i - 5*h for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2045921030 rounded to the nearest one hundred thousand?\nAnswer: 2045900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(1700) + 4*sqrt(1700))**2 + -5.\nAnswer: 42494","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 8*y**2 - 15*y - 14. Determine v(-10).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/35 + 31\/70. Sort 0.2, k, 3.\nAnswer: 0.2, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 4:29 AM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(363) + -3))**2.\nAnswer: -1056*sqrt(3) + 5952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1525 (base 11) to base 12\nAnswer: 1177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -1592*u + 30273. Determine o(19).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(-28) - 74\/(-14). What is the third derivative of 0*g**m - 2*g**2 + 5*g**5 + 4*g**5 - 5*g**5 wrt g?\nAnswer: 240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 9, 8, 7, 6, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c - 46. Calculate the least common multiple of 8 and j(-21).\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g + 1. Let m(a) = -2*a**2 + 15*a + 3. Calculate 3*h(n) - m(n).\nAnswer: 2*n**2 - 18*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 160700*b**2 - 192992*b - 2?\nAnswer: 321400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at least -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -60*(-3 - 44\/(-12))*-3. Suppose -4*a + 5 + 63 = -4*s, f = 5*a + 2*s. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, t: 3, e: 2, b: 7, a: 4}. What is prob of sequence am?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 107*y**3 + 2 - 4*y - 34*y**3 - 2*y**4 - 33*y**3 - 36*y**3.\nAnswer: -2*(y - 1)**3*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11900 - 0.158.\nAnswer: -11900.158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4 + 54*s**3 + 312*s**2 + 664*s + 480.\nAnswer: 2*(s + 2)**2*(s + 3)*(s + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15692 - 213201.78.\nAnswer: -197509.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/346*15\/280. Let o = s + 4583\/1384. Find the common denominator of o and -9\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 10*x**2. Let u(y) = -1329366*y. Give u(r(n)).\nAnswer: -13293660*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -32*j - 329. What are the prime factors of c(-16)?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 667865436?\nAnswer: 2, 3, 7, 7950779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x. Let u(w) = -2*w + 6871. Calculate u(t(r)).\nAnswer: -2*r + 6871","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2*(sqrt(204)\/(sqrt(12) + -3*sqrt(12)*-2) + ((sqrt(153) - sqrt(153)*2)*-6 - sqrt(153))\/sqrt(9)).\nAnswer: -3 + 72*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/8*(-48)\/21.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3386 - 3385. What is the nearest to 4\/11 in g, -5, 3\/10?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 312*o - 341*o + 419021 = 0. Round o to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -380*q**5 - 721*q?\nAnswer: -7600*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24935017\/762082722 + -5\/300269. What is the common denominator of a and -29\/108?\nAnswer: 5076","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9367, -9253, -9139, -9025, -8911, -8797?\nAnswer: -8683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 11:12 PM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 13*s**2 + 3*s - 85. What is the hundreds digit of q(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 2:50 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 6*p**3 - 9*p**2 - 5*p - 2. Let x(w) = w**3 - w**2 - w. Let z be (12 - 5) + -5 + -1*3. Give z*u(v) + 5*x(v).\nAnswer: -v**3 + 4*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5428.649 rounded to the nearest one hundred?\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**5 - 14*b**2 + 0*b**5 + 15*b**2 wrt b?\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -170.53\nAnswer: 852.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3263*g = -2*s - 3260*g + 15, 3*s = 6*g + 24. Suppose 4*t = 100 + 40. Calculate the smallest common multiple of t and s.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 1199*w + 37173. Calculate x(-31).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 77 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1545*r + 1540*r = -8 - 2, -4*k - 4*r - r = -2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001 times 1544.33?\nAnswer: -1.54433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 34*y - 51. Let g be d(2). Suppose -g*n - 87 = -5238. List the prime factors of n.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21941, 88438, 199267, 354428, 553921?\nAnswer: 797746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3748650149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*(2\/(-7) + (-51)\/42). Let a = -184 - -1165\/6. Calculate the common denominator of (29\/i)\/((-80)\/(-24)) and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.87459 - -0.12541. What is the nearest to 2 in -1, h, -1\/2, -24?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3979491389.\nAnswer: 29, 137223841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/5280 and -43\/3?\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6 - (4 - -5) - -5. Let l(a) = 315*a**2 - 3*a + 5. Is l(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j*v**3*z**2 - j*v**3 - j*v**2*z - 17*j*v*z**2 - 4*j*v + 3*v*z**2 wrt z.\nAnswer: -2*j*v**3 - 34*j*v + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*g**3 + 1 + 24*g - 24*g.\nAnswer: -8*g**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 698 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 226 - 5*c**3 - 224 + 25*c + 10*c**3 - 2*c**2 in the form s*c + y*c**3 + b*c**2 + p and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2192211?\nAnswer: 3, 7, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-3)*s)\/(s*s*(s*s\/s**(-1\/3))\/s))\/(((s\/s**(2\/7))\/s)\/s*s)**(-47) assuming s is positive.\nAnswer: s**(-394\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**4 - f**4 + 4*f**4 + (-4*f + 2*f + f)*(2*f**3 - 3*f**3 + 0*f**3) + 5*f**3 + 84*f**4 - 5*f**3 + 0*f**3 + 2*f**4 + 0*f**3.\nAnswer: 88*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -6*b. Let q(l) be the third derivative of 7*l**6\/360 - l**4\/12 - 3*l**3\/2 - 5*l**2. Let n(t) be the second derivative of q(t). Give f(n(r)).\nAnswer: -84*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a microgram in nanograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 2, -125, -2\/5, -1\/59, 0.2, -4, 3\/7?\nAnswer: -125","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-45 + 41 - (-188)\/9)\/((-4)\/(-18)). Calculate the greatest common factor of x and 3496.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43 + -19 + -2 + 3 + -4 + 6\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*h**2 + 4*h**2 + 3*h**2)*(-h + 31*h - 3 + 4) to the form w*h + k*h**3 + q*h**2 + o and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*i - 33*i - 27 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -220793295 take away 0.018?\nAnswer: -220793295.018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mb when two letters picked without replacement from {m: 9, c: 2, l: 1, b: 1, x: 7}?\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 2. Suppose 2*v + 3 = -3*r, w*v + 49 = 4*v - 5*r. Let p be v\/(-27) + 40\/18. Solve -p*a - 3 = 3*q, 2*a + 6 + 1 = q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g - 1. Let s be i(3). Suppose -16 = -s*j + 29. Is j a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -14*h - 3. Let i be b(10). Let q = -1717\/12 - i. Is 0 at most q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 6, 11, 16, 21, 26?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.9 - -0.1. Let k = 95 - 95. What is the nearest to h in 0.3, k, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, -29, -176, -455, -908?\nAnswer: -1577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -4*g**2 - 22. Let m(n) = 2*n. Give k(m(h)).\nAnswer: -16*h**2 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 553 and 15.7978864.\nAnswer: 568.7978864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 4514?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - p + 3*w, -3*p + 15 = -2*w. Solve 3*h = -p - 3 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -28*c**6\/15 + 6*c**3 - c - 5. What is the second derivative of s(t) wrt t?\nAnswer: -672*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 910 + -400. What is the greatest common divisor of u and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 5. Suppose 5*p - d = 10, p - d - 4 = -a*p. Suppose 0*z - 3*v - 9 = -p*z, 0 = -3*z + v + 7. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + -6 - -3) + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 7131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23.6 + -23. Let c = p - 0.5925. What is c rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316 is divided by 40.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3 + 1181*n**2 + 348099*n - 349281.\nAnswer: (n - 1)*(n + 591)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 192808, 192810, 192814, 192820, 192828, 192838?\nAnswer: 192850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 e when three letters picked without replacement from {j: 4, e: 14}.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 b when two letters picked without replacement from idombxi?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 10) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -1 - 2 - 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34 + -35. Let j(w) = -3*w - 1. Determine j(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1692*s + 2320*s = -6512 - 626 - 886 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*d - 192 = 4*t, -79*d + 80 = -74*d - 3*t for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*b + 39 = -89*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7154.66133 rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -5*s - 36 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 r when four letters picked without replacement from {l: 7, k: 2, z: 3, r: 5, g: 1}.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (sqrt(80) + 2*sqrt(80)*-3 - (-1 + sqrt(80) + -2 + sqrt(80)) - ((sqrt(5) - (4 + sqrt(80))) + sqrt(500) + 3*sqrt(500))))*-1)**2.\nAnswer: -1560*sqrt(5) + 21269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (-3 + -2 - (-73 - -36)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-8)*(-73)\/(124830\/(-600))\nAnswer: -5\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5 + 0. Which is the second biggest value? (a) 2.3 (b) m (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24910459 greater than or equal to 24910459?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -16. Suppose 0 = -3*t, 3*r - d = 4*r + 4*t. Let x(y) = -12*y - 2. Calculate the remainder when x(r) is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1.22 (b) 4 (c) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 + 77. What is the highest common factor of 145 and y?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -420806435, -420806437, -420806439, -420806441, -420806443, -420806445?\nAnswer: -420806447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -910, -1462, -2010, -2554, -3094?\n\"Answer: 2*t**2 - 558*t - 354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -6*l. Let f(h) = 868*h. What is f(v(w))?\nAnswer: -5208*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 4558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -90*w**2 - 60*w + 340. Let g(m) = -36*m**2 - 25*m + 136. Give -12*g(c) + 5*p(c).\nAnswer: -18*c**2 + 68","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 449473.5 years?\nAnswer: 449.4735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v**2 - 1. Let x be b(-1). Suppose -x*d = d - 15. Suppose u - d = 20. Does 10 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-647 + 653 - (12 - 2)) + 131?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3821*l - 83875. Calculate the least common multiple of t(-22) and 102\/(-4)*(-8)\/3.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = m - k, -4*m + 5 - 1 = 4*k. Let t be (m + (-3 - 1))\/2. Solve 4*s + 2 = -2*x + s, t = x - 3*s - 17 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1209202 times -0.2?\nAnswer: -241840.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = -11*p + 8568. Suppose -p = -33*m - m. Does 9 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1734 and 1734?\nAnswer: 1734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 53 + 17. Let a(v) = 75*v - 36*v - 40*v + 10. Let g be a(8). Solve t - 12 = -3*s, 0*s - 4*s = g*t - c for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1579500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3990.00509 less than 4?\nAnswer: -3986.00509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000028905 to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -20*m**3 + 2*m**2 - 34*m - 93. Does 7 divide i(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -49*s**5 - 10985*s**3 + s**2 - 20469*s + 45 wrt s?\nAnswer: -980*s**3 - 65910*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 746*s - 1849?\nAnswer: 746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 726008 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-82)\/4)\/((-135)\/(-54)) + 8. What is the closest to 1 in 0.198, -3, -2, s?\nAnswer: 0.198","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 10 = 0, 4*o - 429*a - 352 = -425*a for o.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*(u*(u**25*u*u)\/u)\/u)**(-36))**(-50))**(3\/32) assuming u is positive.\nAnswer: u**(18225\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 47*c - 65. Let m be r(10). What is the highest common divisor of m and 720?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1364*y**2 + 1365*y**2 - 1 - 395*y + 0)*(-3 + 3 - y)*(-4*y - 24 + 24).\nAnswer: 4*y**4 - 1580*y**3 - 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 31*t**3 + 14*t - 6. Let m(i) = -83 - i - 6*i**3 + 39 + 45 - 2*i. What is -2*f(w) - 11*m(w)?\nAnswer: 4*w**3 + 5*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -4*x - 4 + 8, -4*z - 3*x = -7. Solve -z*b + 26*b - 88 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25 by -77152767.\nAnswer: 25\/77152767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 775 and 425?\nAnswer: 13175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n - 4. What is h(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*t + 20*t = -490 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 3, 3*g = -d + 2*g - 1. Solve -21 = 5*w + d*k + 12, 5 = -5*w + 5*k for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*o**3 + 2*o**3 + o**3)*(-31 - 21 + 39) to u*o + t + d*o**3 + q*o**2 and give d.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2116*i + 318*i + 3581*i + 7012*i as v*i + z and give v.\nAnswer: 13027","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h + 12. Let b(d) = -d - 7. Let z be b(-12). List the prime factors of t(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 790348 is divided by 1335.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 21*b + 20 - 6 - 4. Let w(f) = 2*f + 1. Let g(o) = v(o) - 5*w(o). Let p(t) = 12*t + 6. What is 6*g(k) - 5*p(k)?\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 46*d**2 + 47*d - 97. Let x be s(45). Which is smaller: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*u + 306 = -252 for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4483 + -4486. Let t(b) = -2*b**2 - 2*b + 8. Calculate t(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one sixteenth of a kilometer?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -33*i**2. Let f(m) be the third derivative of -7*m**5\/60 - 8*m**2 - 33*m. What is l(f(h))?\nAnswer: -1617*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-three halves of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of 31*c**5\/10 + 3*c**4\/4 + 73*c**3 + 114*c - 3. Find the second derivative of h(q) wrt q.\nAnswer: 372*q + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/3, 0.1, -2, -0.4 in ascending order.\nAnswer: -2, -5\/3, -0.4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47 - 415*v**2 - 41 + 90)*(-2*v - 8 + 8).\nAnswer: 830*v**3 - 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38957 - 38962. Let v = 3 + -2. Sort p, 5, 6, v.\nAnswer: p, v, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*d**3 - 5 + 2*d**2 - d**4 + 36*d**3 as w*d**3 + o*d**2 + h + p*d**4 + x*d and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(16) + sqrt(64) + sqrt(64) + sqrt(64) + 5*sqrt(64)))\/((sqrt(4536)*-4)\/sqrt(7)).\nAnswer: 17*sqrt(2)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 98980680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 19.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 2*g = -4*g + 15*g. Solve g = -24*l - 158 + 38 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 - 30. Let f = -12 + u. Let r = 49.3 - 49.8. Which is the nearest to -1? (a) f (b) 4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 371128736321 and 501?\nAnswer: 371128735820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jdnojjjdojnjjjnj. What is prob of picking 1 o, 1 j, and 2 n?\nAnswer: 27\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**2 + 3*i - 1. Let m(a) = -a**2 - 2*a - 4. Let p be m(-5). Let d = 16 + p. Determine b(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that n**4\/2 - 4*n**3 + 11*n**2 - 12*n + 9\/2 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (456\/627)\/(36\/22).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 2\/2471?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1.7 times 5\nAnswer: -8.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3*y**2 + 418*y - 169144. Give m(-317).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -196 divided by 3\nAnswer: -196\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1192\/(-447) - 7\/21.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r = -10*r - 3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 8 - 1. Suppose -2*r - 4 = -36. Find x, given that -r*x**3 + 3 + 14*x**2 - 6*x + 1 - u + 15*x**4 - 6*x**4 - 2*x**5 = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8829243807?\nAnswer: 3, 29, 37, 2742853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 1. Suppose -m*i + 0*i = -10. Suppose -i*k + 4*k - 62 = 0. Calculate the highest common factor of 124 and k.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 104 - 69. List the prime factors of (36\/(-15))\/(((-2)\/u)\/2).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -60.693330195 - 2715083.807759805. Let y = r + 2715161. Let s = 16.5 - y. Round s to four dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -269.0652 + 0.0652. Let y = -272 - n. What is the smallest value in 0, -8, y?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -2*i + 2*x + 4, 0 = 5*i - 3*x - 55. Let b(g) be the second derivative of 0 + 5\/6*g**3 + 5*g**2 + i*g. Find the first derivative of b(k) wrt k.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59.8304 litres to millilitres.\nAnswer: 59830.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4 - 0.1. Let b be ((-1)\/(-7))\/((-162)\/(-1134)). What is the biggest value in b, -4, g, 0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 7127 = 3*i - 7097, 9*v - 55 = 2*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 30, 55, 92, 147, 226, 335?\nAnswer: 480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 4, 475, -4, -2\/7 in increasing order.\nAnswer: -4, -2\/7, 1\/2, 4, 475","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 17*w**2 + 38*w - 4. Let o be q(-19). Let s(p) = -4*p**3 + 3*p**2 - 6*p - 5. Is s(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 277695 and 9435.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3100 and 1070900?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + -6*54\/(-4). Determine y, given that -107*y + o*y - 20*y**3 + 1 - 5 - 44*y**2 = 0.\nAnswer: -1, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010011 (base 2) in base 3?\nAnswer: -12110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1417 - -1344. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3*1 + 1)\/(-2). Let b be (-6)\/(-9)*u*-3. Which is greater: b or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -6360*x - 44660. Give i(-7).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109074*f**2 - 11042*f**2 - 34398*f**2.\nAnswer: -154514*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 42, -4, 0.4, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, -624\/7, 1.036, -4\/9, -5 in increasing order.\nAnswer: -624\/7, -5, -4\/9, 4\/7, 1.036","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*f**4 + 1364485*f**2 - 1479180*f - 2 wrt f?\nAnswer: -72*f**2 + 2728970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (2 - 6 - 10).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-12) + (205\/20 - 4). Let t(a) = 2*a - 8. Let q be t(b). What is the greatest common factor of q and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 to the power of 1\/5, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 0.1 (c) 2\/5 (d) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12.48 - -3.68483.\nAnswer: -8.79517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -1 (b) 1\/240 (c) 1206\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 4*c - 5*c + 2 = 0, -6 = 4*j + c. Let d(n) = -n**2 + 1. Let q be 1 + 5*(-2 + 1). Let z(o) = 3*o**2 - 4. Determine j*z(m) + q*d(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 0*z - z)*(-z**4 + 0*z**4 + 2*z**4) + 0*z**5 - z**5 + 5*z**5.\nAnswer: 2*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1 (b) 2.2345 (c) -0.1 (d) 3\/2 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5 and -206.68.\nAnswer: -206.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 29229917413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2341 is divided by 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -173*r - 11. What is the tens digit of a(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -34*j**2 + 340*j - 8. What is z(10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-4))\/(4*(-3)\/(-6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -o**2 - 7*o - 411. Let a(y) = y + 1. What is 21*a(d) + 3*b(d)?\nAnswer: 15*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 154, 318, 592, 976, 1470, 2074, 2788?\n\"Answer: 55*i**2 - i + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1165148?\nAnswer: 2, 291287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-4*sqrt(363))**2.\nAnswer: 5804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 200 divide 135000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -1000001101001000111000001?\nAnswer: -1000001101001000111000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 175395709.90000119 + -175395846.9. Let w = -137.179 - -0.179. Let i = p - w. What is i rounded to seven decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(231\/(-36))*210\/(-90).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(27\/(-6)))\/((-4)\/6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 5*m + 13. Let o = 26 + -16. What is the lowest common multiple of o and b(6)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - -0.04404?\nAnswer: 4.04404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -64, -135, -234, -361, -516?\nAnswer: -699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -37*x**2 - 2*x + 1. Determine o(1).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7, 19, 35, 55, 79, 107, 139?\n\"Answer: 2*k**2 + 6*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 2 + 2. Suppose -3*u - 9 = 0, -w + 2*u + 15 = -b. Solve 20 = 5*p + 3*x, 0 = -2*x - 0*x + w for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -279*u - 4. Let o(s) = -139*s - 2. What is 2*a(q) - 5*o(q)?\nAnswer: 137*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 1\/3, 0, 2\/45, -3\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111110000011111 (base 2) in base 4?\nAnswer: -33300133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 + -88. Let b = v - -60. Let m = b + 18. Solve 5*f + 1 = p + m, 11 = -3*p + 4*f for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/((-105)\/12))\/((-2)\/10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 8*h - 4. Let l be y(7). Let g = -15 + 33. Let b = l + g. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 31107373.443 - 303.\nAnswer: 31107070.443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gfg when three letters picked without replacement from fgfftfffggffftf?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, n: 7, h: 4}. What is prob of sequence hnnh?\nAnswer: 3\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*r + 0 + 82*r + 31*r + 0.\nAnswer: 187*r","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: 68.533 times -1.3\nAnswer: -89.0929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2161 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/20 and 69\/19321090.\nAnswer: 38642180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -52 + 171. Calculate the highest common factor of 34 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 5509832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 9*t**2 + 34*t - 8. Let h be v(10). Suppose 0 = 6*r + 10*r - h. Calculate the highest common divisor of r and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 smaller than 100?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -755, -4593, -14783, -34499, -66915, -115205?\nAnswer: -182543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*i + 0*i**3 - 3*i**3 + 14*i + 31*i**2 - 15*i to x + m*i + c*i**3 + n*i**2 and give n.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1652\/(-1650) + 1)\/(22\/60665). Let a = 1\/110 + t. Let g be 8*(0 + (-3)\/6). Is g greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ty when two letters picked without replacement from {t: 1, y: 2, j: 2, u: 4}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1550 + 70 = -270*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -294*q - 2144 - 11663 = 8475 - 5230 for q.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 1, -0.5, 2\/7, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-3902)\/(-14) + 69\/21 + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -212110 + -21?\nAnswer: -212201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 232 a factor of 642298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11599688 is divided by 3866561?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 3:48 AM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 o, and 1 n when three letters picked without replacement from {n: 2, o: 1, e: 3, k: 4, r: 3, f: 2}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/30 and -27\/5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 + 110543*q - 331638.\nAnswer: (q - 3)*(q + 110546)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t**2 + 19*t - 18. Let u(k) = -4*k**2 + 19*k - 17. Let m(x) = -3*r(x) + 2*u(x). Let i be m(19). Solve 5*q = -3*y - 1 + 8, 4*y - i = 4*q for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*p**2*q**2 - 22*p**2*q - 44*p**2 - 2*p*q**2 - 13484*p*q wrt p?\nAnswer: 6*q**2 - 44*q - 88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d + 14 = -15*d. Suppose 10 - d = w. Suppose -w*f = t - 2, 0 - 10 = -2*t - 3*f. Calculate the lowest common multiple of t and 22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*o - 496*o + 10878 = 47*o + 203*o for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 - 2*y**2 + 3*y**2)*(2 - y**2 - 2 + (2 - 6 + 2)*(-2*y**2 + 1 - 1)).\nAnswer: 9*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90, -23, 44, 111, 178, 245?\nAnswer: 312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u**3 - 6 + 6)*(4*u - 8*u + 0*u) + 12*u**4 + 5 - 5 + u**4 in the form z*u**2 + q*u**3 + j*u + f + x*u**4 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*z - 294. Let q be ((-3)\/(-2))\/(21\/z). Solve 1 = 2*x - 2*d + q, 3*x = 2*d - 11 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (3 + (7 - (-2 + 2))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1480451 * -0.3\nAnswer: 444135.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -29, -3, 0 in descending order.\nAnswer: 0, -3, -4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 406627 and 403?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*33.\nAnswer: 9.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 634922?\nAnswer: 2, 523, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**3 - 37*z**2 - 127*z - 25. Determine v(-14).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 932 + 3268 = 75*i. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-4)*(-16)\/312.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -147*x**3 + 1179*x**2 + 39*x - 364. Give o(8).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 1158*u - 1158. Let q be m(1). Suppose 2*a - 5*h = -0*a - 31, -5*h = 3*a - 16. Put q, a, 4, 10 in decreasing order.\nAnswer: 10, 4, q, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 4 + sqrt(11)*2*-2.\nAnswer: -4*sqrt(11) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9965447.\nAnswer: 9965447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 6*h - 2. Let a(w) = -w**2 + w. Give a(t) + v(t).\nAnswer: -2*t**2 - 5*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56 - 156 - 40)*(q + 0*q + q)*(-2 + 3 - 2).\nAnswer: 280*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + r**2 + r + 8. Let i be p(0). Suppose 3*f = 7*f - i. Let u(k) = 0*k**2 - k**2 + f*k**2. Let t(s) = 2*s**2. Calculate t(u(w)).\nAnswer: 2*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + b**2 - 30*b - 5. Determine s(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of -8 - 1\/2*x**2 - 7*x. What is c(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 432560 or 3027928\/7?\nAnswer: 3027928\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 3*f - 9*f. Let g be (f\/10)\/((-18)\/(-27)). Let r be (-9 + 5)*1\/(-2). Are r and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 14 from -26898.767.\nAnswer: -26912.767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6829?\nAnswer: 6829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-28) + (-3)\/21. Let w = -2309\/35 - -466\/7. Factor 0*a - 3\/5*a**2 + q - w*a**3.\nAnswer: -3*a**2*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 91843 times 574\nAnswer: 52717882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3*(sqrt(7) + -3 + sqrt(7)) + (sqrt(441)\/sqrt(7))\/sqrt(9)) + 0.\nAnswer: -9 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5\/6, 2, 8.29, 83?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*((((b*b**(-11)\/b)\/b)\/b)\/b)\/b)\/b)\/((b*b*(b**(1\/13)*b*b)\/b)\/b*b))\/(b*b*b**3\/b)**(18\/7))**(4\/27) assuming b is positive.\nAnswer: b**(-10324\/2457)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1 - (0 + -3 + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 19605.7271 and 0.0276522.\nAnswer: 19605.7547522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1901\/540 + 4\/135. Find the common denominator of 93\/196 and l.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hyqqqjoyqhyhqohh. What is prob of picking 1 j, 2 y, and 1 h?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137*l - 238*l - 1170 = 289*l. Let x(u) = u**3 + 16*u**2 + 37*u - 6. Determine x(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201 - 9749*u - 201.\nAnswer: -9749*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 431, 1738, 3925, 6998, 10963, 15826, 21593, 28270?\nAnswer: 35863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -130, -0.2, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -4*f - 12. Suppose -3*s = 2*g - 81, -g - 4*g + 115 = f*s. Is 5 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 7 = u - 0*u, 5*u - 3*z = -3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 6*m = 0, 0 = -v + 4*v - 4*m - 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2322 + 1101033?\nAnswer: 1043211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3479 - 3478.999998307. Round n to seven decimal places.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -337 + 103 = -2*c. Suppose 35 + c = 8*p. Differentiate -4*d**2 - 10 - p*d**2 + 5*d**2 - 6*d**2 wrt d.\nAnswer: -48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 37*y**2 + 2. Let o be g(2). Let h be 48\/o*(1 + 4). Let u = -66\/35 + h. Which is the second biggest value? (a) 5 (b) -1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1.1, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1307*y + 11 - 2637*y + 6 - 17 + 1316*y.\nAnswer: -14*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -1. Let u = -11 + r. Let d = u + 13. What is the lowest common multiple of 6 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -10*a**2 - 765*a + 372. Give b(-77).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 215.1 + -215.6. Which is the second biggest value? (a) -3 (b) 0.4 (c) 4 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -349, -348, -347, -346, -345, -344?\nAnswer: -343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 10:27 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - l = 17, -5*y - 5*l = 6 + 4. Which is greater: 38\/11 or y?\nAnswer: 38\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 325 = 5*m - 235, 420 = 3*p - 3*m. List the prime factors of p.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.09 less than -9?\nAnswer: -12.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*o + 23*o + 3*v = 16, 2*v - 9 = -o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 7*p**2 + p. Let d be j(1). Suppose -n = -3*n + d. Let k = n - 1. Solve -3 = -k*s + 9 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*x**2 + 147*x**3 + 1114*x - 559*x - 526*x wrt x.\nAnswer: 882","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4*z**3 - 4*z**2 + 4*z. Let t(g) = -g**3 + g + 0*g**3 - 2*g. Let w(s) = n(s) + 6*t(s). Determine m so that w(m) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 30 = -2*v, 23 + 37 = 4*v - 3*l. Solve 29*w = v*w + 70 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 4 = m - 2*j, -j - 1 = 0. What is the third derivative of 0*v**5 - v**2 + 3*v**m + v**5 wrt v?\nAnswer: 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3298 = -276*t + 82*t for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4.2, -4\/3, -7, -4, -56, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 992 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6c39 (base 15) to base 5.\nAnswer: 1214004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m + 2. Suppose -2*n - 2*n = 0. Let c be h(n). What is the third derivative of -2*x**2 + 0*x**c + x**5 + x**5 wrt x?\nAnswer: 120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1945 by 5.\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12805312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 54*w**2 - 40*w + 119. Let d be k(3). Let y = d + -482. Solve 0 = -q + y*q + 10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - d + 4, -2 = -h + 3*d + 1. Let j(b) = -b**3 - b**2 - b - 1. Let s(r) = r**2 + r + 1. Calculate h*s(p) - 3*j(p).\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of 2*m**5 - 49*m - 90. Differentiate p(q) wrt q.\nAnswer: 40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/3223815 and 73\/1381635?\nAnswer: 9671445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 - 15*p - 6. Let g be 3\/(-12) - (-45)\/20. Suppose -2*a = -2, 4*q - g*a = 20 + 38. Let l be r(q). Put l, 3, -2 in descending order.\nAnswer: 3, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 11:09 PM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19269 + -19265. Let x(b) = -14 + 5*b - b + b. Determine x(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29\/5 + -27\/5. Let a(m) = m**2 + 5*m + 1. Let j be a(-3). Let w(t) = -t**2 - 5*t + 1. Let k be w(j). Is z >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) + (sqrt(130) - -2*sqrt(130) - sqrt(130)))*-4)\/(sqrt(10) + sqrt(120)\/sqrt(3)) + 2.\nAnswer: -4*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 30*l**3 - 64*l**2 - 8*l + 171. Let k(v) = -11*v**3 + 21*v**2 + 3*v - 57. What is -3*d(u) - 8*k(u)?\nAnswer: -2*u**3 + 24*u**2 - 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v\/(v**7*v))\/v)\/(v**(13\/5)*v) assuming v is positive.\nAnswer: v**(-53\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*y, 13*k - 12 = 16*k - 4*y. Let n(v) = 2*v**2 - v + 2. Let o be n(-2). Solve 0*l = k*l + o for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 1, -19 in decreasing order.\nAnswer: 9, 1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 11\/2 of a micrometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/4)\/(i**1*i))\/((i*i*i**5)\/i**2))**(-7\/5) assuming i is positive.\nAnswer: i**(203\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, l: 1, t: 6, p: 5}. Give prob of sequence kpt.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r*(r**(-2)\/r)\/r*r)\/r)**(-22))**(-5\/8) assuming r is positive.\nAnswer: r**(-55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -218 - -135. Let w be f\/(-28) + 90\/21 + -4. Which is greater: 3 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -211 - -234. Let r(c) = 806*c - 400*c - 406*c + f*c**2. Let h(k) = -6*k**2. What is r(h(y))?\nAnswer: 828*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 114\/101 + -13820\/12423. Let z = 3919\/28372 - -326\/519. Let a = z - b. Is 2 < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/7 + 42\/(-147))\/1. Suppose -p + 2*p - 5 = 0. Let w(c) = 2*c - p*c - 2 + 2*c. Give w(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 115 = 3*u, -7*u - 2*m + 98 = -9*u. Calculate the common denominator of (u\/36)\/((-5)\/166) and 62\/21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3, 7, 9, 9, 7, 3, -3?\n\"Answer: -l**2 + 7*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 553.4349 micrograms?\nAnswer: 0.0000005534349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -10, 3, -6, 0 in descending order.\nAnswer: 3, 0, -2\/9, -6, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = t, 0*m = 5*m - 20. Let x = 27 + t. Solve -2*k + x*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147*r + 3*r**2 - 3*r**2 - 173*r + 81*r + 2*r**2.\nAnswer: 2*r**2 + 55*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in milligrams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wdddddwdnndwydydy. Give prob of sequence dy.\nAnswer: 27\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1790*w + 497 + 123013 for w.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*12*(-3)\/6. Let v = 6 + p. Suppose 0 = 5*w + 27 - v. Which is the nearest to 2\/7? (a) -2\/5 (b) -1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -h - 2 - 14, 2*r + 10 = 5*h. Suppose h*t = -4*q + q + 32, -5*t + 28 = 3*q. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6 - 29 + 2 - 10*i**2 - 9*i**2 + i**5 - i**3 + 36*i**3 wrt i?\nAnswer: 60*i**2 + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of 7\/6*c**3 + 1\/2*c**2 + c + 0. What is r(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -5, o = -4*s + 12 + 7. What is the least common multiple of 22 and s?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-6))\/(1420\/(-2556))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + 131642510?\nAnswer: 131642510.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 90, 84, 76, 66?\n\"Answer: -w**2 - 3*w + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -3819346.69\nAnswer: -1527738.676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + d + 1. Let l be g(-2). Let n = 0 + 4. Let r = -0.2 + -0.1. Which is the biggest value? (a) l (b) n (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1199.1 or -0.022?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000340956938 to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -12 (c) -8 (d) -0.016 (e) 3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1819133 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 217 divide 4653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 182235679*a**3 + 161072846*a**2?\nAnswer: 1093414074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -161621*v**2 - 4713?\nAnswer: -323242*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + i - 13 - 4 = 0, -4*i = -q - 23. Let s be (16 - 1)*6\/q. Let z = s - -15. What is the remainder when z is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 2*q**2\/13 - 32*q\/13 - 34\/13 = 0?\nAnswer: -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**3 + q**3 + 0*q**3)*(2 - 3 - 1) + 0*q**3 - 2*q**3 + 0*q**3 - 341 + 341 + 79*q**3 + (4*q + 0*q - q)*(-q**2 + 2*q**2 - 2*q**2).\nAnswer: 72*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -4\/5 (b) -17.4 (c) -4\/7 (d) 0.5 (e) 17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 12*m - 1446. Determine p(123).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1967891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1 + sqrt(68) - sqrt(68) - sqrt(102)\/(sqrt(216)*1))**2.\nAnswer: sqrt(17) + 341\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 4:24 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (120\/18)\/5*9*(-45)\/36.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 34320, 68638, 102956?\n\"Answer: 34318*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2061197 rounded to three decimal places?\nAnswer: 0.206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + p = -17, -5*w - 3*p - 36 + 1 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*w + 0*w - 442 = 45*w for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4245 divided by 18448.\nAnswer: -4245\/18448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**3 - 6*h**2 + 5*h - 1. What is c(4)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**3 + 105*p**2 - 874*p - 6339. What is y(-59)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*f - 3578 = -3864 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2147*z + 2106*z - 1.\nAnswer: 4253*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 7, 3 in descending order.\nAnswer: 7, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -1. Let c(l) = -6*l**2 - 3. What is -2*c(m) + 6*w(m)?\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 3*o + 5*o**2 + 5 - 2*o - 1. Let i be l(4). Suppose 31 = 4*w + 4*b - 73, -4*w + b + 124 = i. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of c**8\/112 - 2*c**7\/35 + 3*c**6\/20 - c**5\/5 + c**4\/8 - c**2 - 7*c. Let o(j) be the first derivative of m(j). Factor o(i).\nAnswer: 3*i*(i - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 390938366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*m + 4*m + m)*(-1 + 1 + m)*(5 + 8 - 5)*(4 - 3 - 5)*(-m - 3*m + 6*m) as p*m + d*m**3 + x*m**2 + g and give d.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 12*g + 10*g**2 + 0*g + 1838*g**3 - 1840*g**3 = 0.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 + -4)*124*(-175)\/70 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 125*n**3 - 3*n**2 - 3. Let f(w) = 249*w**3 - 5*w**2 - 5. Determine -3*f(k) + 5*h(k).\nAnswer: -122*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + 5*d - 11. Let m(r) = -3*r**2 - 51*r - 193. Let c be m(-11). Calculate k(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 766 is divided by 94?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5372?\nAnswer: 2, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {j: 2, s: 6, r: 10}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.029 - 15.079. Let j = 15 + l. Let i be 8 + -5 - (-9)\/(-2). Is i at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5785508 to the power of 1\/2, to the nearest integer?\nAnswer: 2405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, x: 2, h: 1, o: 1, z: 2}. What is prob of sequence uxo?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - 0.30106.\nAnswer: 10.69894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8 - 272\/24)*9\/(-6). Suppose 0 = 2*y + f*p - 4323, -24*y - 2*p - 6437 = -27*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((40\/(-30))\/(104\/(-12))).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (-1 - -2) - (-13 + 57 + -47).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -19*x + 676. Calculate c(38).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -313 - -308. Suppose 4*n - 36 = -12. Let z be (-4)\/8*n*1. Which is the third biggest value? (a) 3\/5 (b) z (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-98)\/(-4)*-1*-4. Suppose 4*i = 2*i + 4. Suppose -i*l - 3*l = -3*g + 67, -4*g + 2*l = -66. What is the highest common divisor of g and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c, -2*h + 4 = -0*h - 4*c. Let u be -2*h\/(-4) + 3. What is the second derivative of 56*d**3 - 5*d**u - 56*d**3 - 3*d wrt d?\nAnswer: -60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-9) - (-282)\/9. Suppose 3*y - b = y. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4873993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - -13) + -10 + 24 - 18?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 20 - -16) + (-3 - 10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1141, -4288, -9521, -16828, -26197, -37616, -51073?\n\"Answer: 2*v**3 - 1055*v**2 + 4*v - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 16321, 1, -1, 10, 3 in decreasing order.\nAnswer: 16321, 10, 3, 2, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 632096748 a multiple of 2083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -88 - -83. Let k be (-2)\/(1*(-1)\/(-6)). Let i be (-2)\/j + k\/5. Is i greater than or equal to -2\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 10*h**2 + 13*h - 12. Let w be (-2)\/(-10) - 2\/10. Calculate the least common multiple of v(11) and 1 - w - (1 - 8).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 36 + 4 = 0. Let g be 2\/p - 1\/(-4). Suppose g = -9*i + 11*i. Solve i = -o + 3*o - 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gygg when four letters picked without replacement from {g: 7, y: 7}?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 623 and 46785965?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14250226?\nAnswer: 2, 7125113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 - ((-265 - -35) + 97)?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142384244?\nAnswer: 2, 47, 757363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (3030\/1818)\/((-230)\/(-12))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29377 + 13*y**2 + 14687 + 14690.\nAnswer: 13*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 115*i**2*n*x**3 + 31389*i*n*x - 818108099*n*x**3 wrt i?\nAnswer: 230*i*n*x**3 + 31389*n*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j + 3*j - 4*j)*(-3 + 6 - 1)*(33*j + 25*j - 19*j)*(20 + 20 - 17) to w*j**2 + y*j + u and give w.\nAnswer: 1794","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*f - 5*f, 29*f = 4*d + 30*f - 14 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (14 + 282 + 145)*(-2*x + 0 + 0) in the form d*x + p and give d.\nAnswer: -882","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 746.6769ns?\nAnswer: 0.00000000000864209375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3838 (base 10) to base 13.\nAnswer: -1993","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -616 + 1736. Does 20 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 7)\/((-6)\/(-14)). Suppose 0 = -q*s + 6*s + 40. Solve 0 = -2*d - 0*d - 10, s = 4*j - d for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43187 is divided by 366?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -k**6\/21 + 6*k**5\/35 - k**4\/7 - 4*k**3\/21 + 3*k**2\/7 - 2*k\/7 - 21. Solve y(h) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 118 = 14*b - 236, 0 = 3*y - 2*b - 126 for y.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5590*m - 5173*m + 27105 = 0 for m.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in -0.08254, -7, -5?\nAnswer: -0.08254","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/4 of a year?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 + 2)*(-3)\/2. Suppose 2*p + 2*p = f*u + 48, -60 = -5*p - 2*u. Calculate the smallest common multiple of 18 and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 4*w**2. Let c(y) be the second derivative of 3*y**5\/20 + 11*y**4\/12 - y. Suppose 10 = -5*m, -3*f + 37 + 6 = -5*m. Determine f*b(l) - 4*c(l).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -8674*s - 52053. What is f(-6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13.6 and 1.58.\nAnswer: -21.488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2325 = -21*c + 35379. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36 by 10.\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.953 + 0.047. Put 0.1, q, -2, 3\/5 in increasing order.\nAnswer: -2, 0.1, 3\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18\/10*(-10)\/(-3). Calculate the common denominator of (-79)\/15 + u\/(-18) and (-26)\/16 - 0 - -1.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 33264659 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/6 - 85*l**2\/3.\nAnswer: -l**2*(l + 170)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/19, -2, 11, 3, -3, 0 in ascending order.\nAnswer: -3, -2, -4\/19, 0, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -202298?\nAnswer: -202300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 3*u = 420, -205 - 110 = 3*y - 4*u. Round y to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (9 + (5 - 6))) + (7 - 22)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 12*s**2 + 33*s - 7. Suppose -7*p = 80 + 39. What are the prime factors of y(p)?\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -5*q - 27. Let d = 18 + q. Suppose -2*p - 2*p + 16 = 3*u, u = -5*p + d. Is u at least 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -20*a + 40*a + 3 - 18*a. Let y(p) = p**2 + 4*p + 4. Let i be ((-4)\/(-5))\/(1\/(-5)). Let b be y(i). What is m(b)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 35698157 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-8))**(-1\/7) assuming q is positive.\nAnswer: q**(8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 59236 or 59095?\nAnswer: 59095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/4*8\/18*-6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 3*i**2 + 4. Let s be p(-3). Suppose s*k + 2008 = 2*x, -103 = 4*k - 5*x + 1899. Let f = k + 213. Round f to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 151453 (base 6) to base 11\nAnswer: 10008","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(3\/8)*o)\/(o**4*o))\/(o**(-6)\/(o\/(o\/o**(-7\/5)*o*o*o))))**(-5\/6) assuming o is positive.\nAnswer: o**(41\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 3*o + 9, 2*i = -5*o - 2 + 25. Is i a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 215.8 - 216. Let p be 4\/(-28)*(-6 - -3). What is the third biggest value in 1\/2, b, p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1794875?\nAnswer: 5, 83, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 24 = b, -4*f - b + 12 = -5*b. Suppose 0 = 3*y - f + 19. Sort y, 2, 4 in descending order.\nAnswer: 4, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18096.4 + -16599. Round y to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/14*-3*(-133)\/(-38)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 8, g: 2, r: 4, d: 2, u: 2, k: 1}. What is prob of picking 1 d, 2 g, and 1 k?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2750188?\nAnswer: 2, 7, 98221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -11 (b) 2\/5 (c) -7 (d) -8 (e) -0.32 (f) 2\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 317656?\nAnswer: 2, 59, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000085058425 to seven decimal places.\nAnswer: -0.0000085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 341300 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**4 - 41*f**3 - 348*f**2 + 1628*f + 1936 = 0. Calculate f.\nAnswer: -22, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*f = -15*f - 58540. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 8 = 3*b - 6*b, 3*b - 4 = -q. Let t(f) = f**3 - 2*f. Let h be t(b). What is the closest to -1 in 4\/5, h, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-72)*12\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 129\/370 and 37\/225630?\nAnswer: 8348310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 558211680 a multiple of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -1\/4, -0.2, 4 in ascending order.\nAnswer: -1\/4, -0.2, 2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 41479.\nAnswer: -1\/41479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -a*r + 1378*a*u**3 - 12*a*u - a + 11*r**2*u**3 + 2727*r**2*u + 2*u**2 + 2 wrt r?\nAnswer: -a + 22*r*u**3 + 5454*r*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**3\/3 + 1511*v**2\/3 + 297623*v\/3 - 1526015\/3 = 0.\nAnswer: -1277, -239, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - f - 11, -3*s - 4 = -4*s + 2*f. Solve -4 = -2*d - s*t, -3*d + 12 = -3*t - 6 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of -1\/60*z**5 + 0*z**4 + 0*z + 12*z**2 + 0*z**3 + 0. Let b(a) = 212*a**2. Determine b(x(t)).\nAnswer: 212*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1533 and -7.\nAnswer: -1540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -112 + 194 + -209 - -222?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) + -1 + (sqrt(5) + (sqrt(5) + (sqrt(5) - sqrt(15)\/sqrt(3)))*-5)**2 - (-5 + (sqrt(250)\/(-1*sqrt(10)))\/sqrt(5))**2) + -4.\nAnswer: -3*sqrt(5) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of w**4\/4 - 4*w**3\/3 + 5*w**2\/2 - 4*w - 1. Let b(g) = -g**2 + 4*g - 1. Let r be b(2). What is the units digit of j(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-488 + 953 - 477 - t)*(2*t + t - 5*t).\nAnswer: 2*t**2 + 24*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i**(8\/3))\/i)\/i)\/i)**(-20) assuming i is positive.\nAnswer: i**(-40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2869.96 + 2870. Sort -5, 1\/23, m.\nAnswer: -5, m, 1\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5605386 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w + 9*o - 177 = w, -4*o + 11055 - 10992 = -3*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -25 greater than -1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3*q - 24. Let u(z) = z - 11. Let g(d) = -5*u(d) + 2*y(d). Let r be g(-3). What is the first derivative of -125*c**4 + 27 - 159*c**r + 258*c**4 wrt c?\nAnswer: -104*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-17)\/(-5) + (-4)\/10. Suppose -4*h = 5*b - 2*h + 6, -4*b - h = 3. Solve 0 = -3*k + 6, b = 5*z + 3*k + 6 + i for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + 2 - -8) + -1 + (15 - 6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23601657*y**3 + 126251592*y.\nAnswer: 141609942*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11240 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-10)\/8)\/(3\/24). Let x = -1 - 3. Let p = x - r. Solve -s = 4*b - p, 2*s - 2 = s for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 383168114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 6c?\nAnswer: -6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -17, -1.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34223985 - 34223961.9999964. Let b = 2.5 - 25.5. Let i = y + b. What is i rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 368*u + 137. Let k = -529 + 554. Is v(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 146 + -163.3. Let x = c - -17. What is x rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m = 6*m + 10. Let r(g) = 2*g**2 - 2*g - 2. Let f(d) = -4*d**2 + 4*d + 5. Let p(u) = m*f(u) + 5*r(u). Let p(b) = 0. What is b?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 2*i + 29 = i, 0 = 2*j - 5*i + 7. Suppose j = 4*h - 5*x, h + 2*h = 2*x + 3. Let b = -0.4 + 0.7. Which is smaller: h or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 82.26 - 17.26. Which is smaller: 2\/109 or j?\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q**3 - 65*q**2 - 1260*q + 73. What is n(34)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -460*i + 87*i + 119*i + 72*i + 90*i + 94*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 14263?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 5*g. Let d(j) = 6*j**2. What is x(d(y))?\nAnswer: 30*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*v**5 + 788*v**3 - 3*v**2 + 85*v + 8?\nAnswer: 120*v**2 + 4728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 54. Let k = u + -50.79. Let j = k - 0.210017. Round j to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - i = c - 12214, 0 = i + 3. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3402*g + 19388. What is s(-6)?\nAnswer: -1024","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**3\/5 - 233313*k**2\/5 - 5598216*k\/5 - 33586704\/5 = 0. Calculate k.\nAnswer: -77747, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 921438 is divided by 65?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -157 - -266. Suppose 3*g + s = -219, 0 = -5*g + 54*s - 50*s - 382. Let u = f + g. Calculate the remainder when u is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 5)*(2*v**5 + v**2 - v**2) + (1 + 1 + 0)*(-2*v + 12 - 12)*(v - 3*v**4 - v) - 2*v**5 + 2*v**5 - 2*v**5.\nAnswer: 4*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1662.49 from -17879.\nAnswer: -16216.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05719657 rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b. Let j(x) = -3*x - 1. Let l(m) = -m**2 - 2*m + 1. Let i be l(3). Let q = 10 + i. Determine q*n(w) + j(w).\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -384, 4, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 172.752 to 0 decimal places.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-2))\/(12\/30). Let r(a) = 13*a**2 - 7*a + 21. Is r(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 1) + -10 + (-2 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -324, -1314, -2954, -5238, -8160, -11714, -15894, -20694?\nAnswer: -26108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 94290?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.43917693 rounded to 3 dps?\nAnswer: -0.439","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9340*r - 239179 - 311881 = 0 for r.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -756*m - 3954. Let y(z) = -142*z - 791. Determine 3*x(o) - 16*y(o).\nAnswer: 4*o + 794","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -79*s - 963. Calculate a(-12).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 16*o**2 + 7*o**2 - 19*o**2. Let z(b) = 11*b. What is u(z(t))?\nAnswer: 484*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 4514*j + 388171. What is g(-86)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2108*y + 4121 = -1791*y for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -4*i + 22, 3*i = -x - 0 + 11. Let b(z) = 5*z - 2. Let f be b(5). Suppose p + p = i*c + f, 4*c + 26 = 2*p. What are the prime factors of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*a + 235924 = 21*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 8*y**2 - 8*y + 1. Determine j(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -752, -799, -844, -887, -928, -967, -1004?\n\"Answer: v**2 - 50*v - 703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -14*(-14)\/49*(5 - (-28)\/(-8)). Let t(d) be the third derivative of 0 - 7\/240*d**5 - 10*d**2 + 0*d - 3\/8*d**3 - 5\/32*d**4 - 1\/480*d**i. Factor t(f).\nAnswer: -(f + 1)*(f + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006905324 rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p + 20*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*x + 7*x + 8 - 63*x - 1 - 18*x to the form i + l*x and give l.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v - 60*v**2 + 30*v**2 + 25 + 0*v - 4*v**3 + 31*v**2 as p*v + h*v**3 + g + x*v**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -252209*f + 252134*f + 3600 for f.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*h + 679746 - 339872 - 339871.\nAnswer: 89*h + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 q, 1 j, and 1 y when four letters picked without replacement from {w: 1, q: 1, j: 1, y: 1, a: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**2\/3 - 468*s + 11360\/3 = 0. What is s?\nAnswer: -710, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g + 9. Is q(5) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*m**3 + 33*m**3 - 64*m**3.\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38 and 147776338?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1267)\/315 - 16\/(-72) and (-14)\/(-10) - (0 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 894 and 1557?\nAnswer: 463986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13838 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13479.\nAnswer: 3, 4493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/f**4)*f)\/(f\/(((f*f**(-4)\/f)\/f)\/f)))**(2\/47) assuming f is positive.\nAnswer: f**(-4\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-257)\/(-28) - -22*(-27)\/16632.\nAnswer: 64\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8991.623mm in kilometers?\nAnswer: 0.008991623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -2*p**5 - 2122*p**4 + 43340*p**3 + 105100*p**2 - 3254250*p - 12161250 = 0.\nAnswer: -1081, -5, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/6*(-2)\/(-4). Let k be 12 + (-224)\/(-294)*-16. Which is the third smallest value? (a) k (b) 0.4 (c) 2 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -0*k. Let m be 41*(k + -1 + 2). Solve 2*z + 1 + 9 = -5*v, -5*z + m = -4*v for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7 - 36\/(-6))\/((-1)\/(-307)). Let o = r - -1231\/4. What is k in o + 0*k - 3\/4*k**2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*p - 14*p = 12. Sort -14, -2, p in decreasing order.\nAnswer: p, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21\/146 or -1?\nAnswer: -21\/146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*p**2 - p**2 + 2*p**2)*(4*p + 2*p - 4*p) + 3*p**3 - 4*p**3 + 4*p**3 in the form q*p**3 + u*p + c + g*p**2 and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/((-30)\/(-4)*(-24)\/(-60)). Which is greater: -1\/185 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 48.057941572 + 2.\nAnswer: 50.057941572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 0*n**3 - 26 + 23*n**2 + 0*n**3 + n**3 + 15*n - 5*n**2. Let v be p(-17). Calculate the highest common factor of 8 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4725 and 250.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8337, 8162, 7989, 7818?\n\"Answer: s**2 - 178*s + 8514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 8. Suppose -12 = 2*j - 4*k, 130*j = 129*j - 4*k + 18. Solve -f*b = -j*q + 4, 0 = -q + 2*b + 1 + 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210*z - 53 - 31 = 252*z. Sort z, 45, 2.\nAnswer: z, 2, 45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20319237?\nAnswer: 3, 2257693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-1)*(-126)\/63. Differentiate 55 + 532*n**2 - 216*n**2 - 205*n**2 - 272*n**u wrt n.\nAnswer: -322*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 884\/85*(-5)\/(-2)*150\/(-300)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 80062 to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 22, 2, 38, -1 in decreasing order.\nAnswer: 38, 22, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - 11. Calculate the remainder when ((-4)\/(-6))\/((-4)\/(-102)) is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, r: 4}. Give prob of picking 1 r and 3 g.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8547, 17105, 25675, 34257, 42851, 51457?\nAnswer: 60075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = g - 780. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 91703 - 45775. What is the thousands digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 18*t**2 + 14*t + 49. Give x(17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 2\/7, 3\/2, -11\/5, 237?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 57*h + 276. Let v be o(-50). Which is the closest to 0? (a) -19 (b) v (c) 3\/2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1181 + -331. Let i = d + -5946\/7. Let 0*p + 4\/7*p**5 - i*p**2 - 12\/7*p**4 + 0 + 12\/7*p**3 = 0. Calculate p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8098 is divided by 690?\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1740 - -1739. Which is the nearest to h? (a) -0.7 (b) 0.5 (c) -0.4 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 33 = -3. Let u = j - 10. Find s, given that -4\/7*s**3 - 6\/7*s**u + 0*s + 0 + 10\/7*s**4 + 0*s**2 = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(425) + 1)*-4 + -3*(sqrt(425) + 0) + sqrt(425) - 5*1*3*sqrt(425))**2.\nAnswer: 2520*sqrt(17) + 562323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 604467*t**6 + 553971*t**2 wrt t?\nAnswer: 72536040*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n\/n**(-1\/5))\/n*n))\/n)\/(((n**(-1)*n)\/n)\/n)*(n\/(n*n*n**(-2\/7)\/n*n)*n)\/n**3 assuming n is positive.\nAnswer: n**(-67\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*n - 3*a = 18*n - 25, -22*n = -2*a - 30. Factor 0*t - 2\/5*t**n + 0 - 2\/5*t**3.\nAnswer: -2*t**2*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {f: 1, n: 11}.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 370 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 4*i**2 - 172*i - 552 = 0.\nAnswer: -3, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 + 5. Let f be (-3 - k)*(-2)\/12*-2. Solve -s - 6 = 5*j + 18, -s = -f*j - 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 11:59 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/47 in 3\/7, -2\/9, -5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zjjj when four letters picked without replacement from {c: 3, z: 2, j: 3}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 2 = 4*h. Calculate the highest common factor of 3 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89\/2 of a century in decades?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 854?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-6))\/(5\/150). Suppose 2*t + 2*t = -g. Let k(u) = u**3 + 6*u**2 + 3*u - 5. List the prime factors of k(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 44*t - 90 = 41*t, 110*a - 64 = 106*a - 4*t for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 4805?\nAnswer: 4805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 881 = 3*k, 4*r + 5*k + 203 + 684 = 0. Let p = r - -225. Let n(z) = -11*z - 9. Let f(g) = -5*g - 4. What is p*f(y) - 3*n(y)?\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - -28. Let g be 21\/6*z\/(-1). Let h = 180 + g. What is the remainder when h is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*k - 128 = -29*k for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 10920*d. Let p(h) = -h - 505. Give p(x(z)).\nAnswer: -10920*z - 505","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1 + -1*sqrt(5) - (-1 + sqrt(720) - sqrt(720))) + -2*sqrt(320)*-3.\nAnswer: -1 + 47*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7.86575l?\nAnswer: 7865.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 24 - (-427 + 419) - -14) + -72.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 5 (b) 0.204 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 3149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179012 is divided by 35646.\nAnswer: 782","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 75*x**2 + 87 - 82 - 7*x + 37*x**2. Let r be v(1). Do r and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011101111 - 101?\nAnswer: 1011101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*4 - (54 + -59).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 95, 303, 707, 1373, 2367, 3755?\nAnswer: 5603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 2*n**2 - 1. Let v(b) = -7*b**2 - 3*b + 3. Let y(k) = 12*k**2 + 5*k - 5. Let p(f) = -10*v(f) - 6*y(f). What is m(p(z))?\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifteenth of a hour?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**4 + 4*i**4 - 4*i**4 + i**4 - 5*i**4 + 5*i**4 + (-2*i**3 - i**3 + i**3)*(0*i + 2*i + 0*i) - 6 - 5*i**4 + 818*i**2 - 818*i**2.\nAnswer: -10*i**4 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-18)\/(-414)*0)\/(1\/1). Solve -2*k + 170 - 156 = m for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 8*u + 12. Let j be z(2). Solve j = -s + 3*s - 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -0.5 (b) -1 (c) -0.2 (d) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1520 + 13?\nAnswer: -1504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -397*h - 6 = -399*h, -4*b + 5*h = -25 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74912 divided by -18728.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -3 + 2)\/((-1)\/(-4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 2*u - u)*(15*u + 88*u + 43*u).\nAnswer: 292*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7621.75um?\nAnswer: 7.62175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + -7. Let j = -15 - a. What is the units digit of j*(-3)\/(-6)*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o + 4. Let k be b(0). Let m(n) = -n**2 + 5*n - 6. Let h be m(k). Let d(p) = -38500*p**2 - p - 2. Let s be d(h). Round s to the nearest 10000.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 1 + 7 = 0. Let z(d) = 4*d + 2*d - 1 - 4 - r*d. Does 3 divide z(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(105)\/sqrt(5))\/(sqrt(36)\/(sqrt(12)*2)))**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5783\/13 + -445. Sort v, 0, -1, -5\/4 in ascending order.\nAnswer: -5\/4, -1, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20? (a) -1534.2 (b) 3 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 99\/63 + -3 + (-666)\/63\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 8*n - n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 65*j - 202. Is y(17) a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 103*q - 1393. Let c be o(15). What is the greatest common divisor of 22 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of 43*b**6\/90 - b**5\/15 + 2*b**3\/3 + 123*b - 254. Let d(v) be the third derivative of g(v). Factor d(i).\nAnswer: 4*i*(43*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 4*b + 142. Calculate the remainder when c(-4) is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (19 - 11 - 12) + -4 + 4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**3 + 0*u + 0*u)*(u + 3*u - 6*u) + 2*u**4 - 3*u**4 + 2*u**4 + 4*u**4 + u**4 - 2*u**4.\nAnswer: 8*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 6*(-1 + ((-5*(sqrt(75) - (sqrt(75) - (sqrt(75) + -3))))**2 - sqrt(75)) + (sqrt(75) + sqrt(75) + sqrt(75) + 1 + -2 + 1*sqrt(75) + -2)**2).\nAnswer: -5250*sqrt(3) + 19849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 94*h. Let n be i(2). Suppose 5*t + n = 63. What is the units digit of 6\/10 + (-660)\/t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*a = 29*a + 1628. Calculate the lowest common multiple of a and 416.\nAnswer: 4576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 + 22. Let v = 15 + d. What is the first derivative of 9*b**2 + 1 - 3*b**2 - v + 1 wrt b?\nAnswer: 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/4)\/((44109\/5278)\/((-12)\/(-14))).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2 + 5*t**2 + 5 + 0 wrt t.\nAnswer: 10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185*v + 5 + 166*v - 5.\nAnswer: -19*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m = -156 + 135 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -97, -3, 24, -1, 1 in descending order.\nAnswer: 24, 3, 1, -1, -3, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 11. What is the units digit of (f\/2)\/((-3)\/(-5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 - 4472*a + 290310. What is z(64)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74, 75, 100, 161, 270, 439, 680, 1005?\nAnswer: 1426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 135 + 116 = -2*n + 7*m, -m = 2*n + 9 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 82185039 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 371555211?\nAnswer: 3, 123851737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/2*(-8)\/(-3). Suppose -k - 23 = 4*q, 4*k - 2*k = -q - 11. Which is greater: f or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -x - 3*x + 80, 4*a + x - 85 = 0. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3*n**2 - 7*n - 5. Let k(t) = t**2 - t + 1. Suppose -2*y + 3*w = y + 9, y - 3*w = -7. Let j(v) = y*x(v) + 2*k(v). Calculate j(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -8660*y**2 + 25967*y**2 - 8652*y**2 - 51*y - 8656*y**2. Let q(f) = 15*f**2 - 2. What is h(q(d))?\nAnswer: -225*d**4 - 705*d**2 + 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3135 + -3072. Solve 0 = -4*n - 17*n + w for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x - 8*x = 250. What is the remainder when x is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 11 (b) 0.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 5, -5, -0.68, -2?\nAnswer: -0.68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -6*v. Let u be (-2)\/(-4) - (-9)\/(-6). Let z be x(u). Calculate the greatest common factor of 6 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76\/(-95) - (-1241 - -8)\/(5\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -8*a - 37. Let z be u(-5). Solve -z*t = -4 - 11 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w + 4*w = 390. Let z = -50 - w. Let l = z + 201. What is the remainder when l is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12477*k**4*s + 2*k**3*s + 82*k**3 - 9830*k**2 - 122*s wrt k.\nAnswer: -299448*k*s + 12*s + 492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190 = -2*m + 5*m - l, -5*l + 266 = 4*m. Is m a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2021141\/1022164 - 1\/23231. Find the common denominator of c and -101\/940.\nAnswer: 10340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203749*u**2 - 250284*u**2 - 201396*u**2.\nAnswer: -655429*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32580 is divided by 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -2*z + 58, 2*z - 2*a - 71 + 9 = 0. What is the highest common factor of 216 and z?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 10:11 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(-3\/2)\/y)*y)**3*(y\/(y*y\/y**(2\/3)))\/y**(-6))**33 assuming y is positive.\nAnswer: y**(1265\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**4 + 2*t - 2*t)*(-1 - 2 + 2) - 11103 + 367*t**4 + 11103.\nAnswer: 366*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (((-300)\/(-27) + -11)\/(-1))\/(2\/12). Which is the third biggest value? (a) 29 (b) v (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3827741941 - 3827741782.9999911. Let p = 0.34 + 157.66. Let m = y - p. What is m rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b + 1. Suppose 2*w + 6 = -w. Let l be u(w). Let i(g) = g**2 - 4*g - 5. What is i(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8143993 by -8143993.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6433 * -3.\nAnswer: -19299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5921 and 279.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12560 (base 7) in base 3?\nAnswer: -11121222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -636 + 1138. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1471138.6 - -13848875.6. Let o = t + -12377735.3500146. Let z = o - 1.65. What is z rounded to six decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - (0 + 2\/(-1)). Suppose 4 = 2*d, 4*d = j*b + 12 - 34. Differentiate 3 + b - 9*a**3 + 10 - 6 with respect to a.\nAnswer: -27*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + 7*b + 16. Let u be h(-6). Suppose -23*t = -u*t - 26. Let o(g) = g**2 - 4*g - 6. Let k be o(6). Solve 4 = k*n - t*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 96*b + 163 + 41 = 0. What is the highest common factor of 2134 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10555114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than -451584167?\nAnswer: -451584169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-4))\/((-6)\/6)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus 672?\nAnswer: 672.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + g = -115156, -27*q - 115140 = -31*q - g. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 692118 and 692117 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -2376475.66 to the nearest 100000.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -121122 + -1690418.6.\nAnswer: -1811540.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.10043 grams in nanograms?\nAnswer: 39100430000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-2\/9)*s)\/(s**7\/s)*s**(3\/4)*s\/((s*s**(-2\/5))\/s)*s)\/(s\/s**(-1\/2)*s*s**(-3)\/s*(s**(-1))**27) assuming s is positive.\nAnswer: s**(5017\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 q when two letters picked without replacement from {o: 1, e: 6, h: 8, q: 1, t: 2}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 6*w**2 + 6*w - 3. Let z be q(-7). Suppose -m = 3*m. Sort -4, z, m in descending order.\nAnswer: z, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 7:54 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-4) - (-74)\/4. Let r = p - 9. Is 8 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 905713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219104191.\nAnswer: 2657, 82463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, a: 12}. What is prob of sequence xaa?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.003? (a) 7 (b) -2\/13 (c) 0.7 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -294883 - -1140500\nAnswer: 845617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 38, -2\/17, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2 - 2*q + 17. Let g(u) = -3*u**2 + 2*u - 17. Suppose 218 = 14*m + 134. What is m*y(v) + 5*g(v)?\nAnswer: -3*v**2 - 2*v + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 214283474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 951315004.\nAnswer: 2, 103, 181, 12757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 1 - 9. Suppose -2 = w - 7. Suppose -5*u + 7 = 2*x, -v*x = x - w*u - 23. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4233345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8257.\nAnswer: 23, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -736 (b) 1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3456)*2 + sqrt(3456))\/(sqrt(128)*-6))**2 + ((3 + sqrt(9)\/sqrt(3))**2 - sqrt(600)\/sqrt(8))*4.\nAnswer: 4*sqrt(3) + 219\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - 5*i - 13. Determine j(9).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -14 + 3 - -5*45\/25. Let n(h) = 2*h**2 + 2. Let a be n(-2). Let i be (a\/14)\/((-42)\/(-49)). What is the biggest value in -0.4, d, 0, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 88 and 77?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(-1)\/(-2) - 1. Let a = -0.044 + -0.456. Sort a, k, -3\/5.\nAnswer: k, -3\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2386 + -2350. What is the lowest common multiple of 60 and w?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 233 + -3?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**3 - 2*g**3 - 7*g**3 + (-3*g + 7*g - 2*g)*(-g**2 - g**2 + 3*g**2))*(-1 - 3 + 6)*(1 + 3 + 0)*(-37*g - 3141 + 3141).\nAnswer: 888*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*n + 2 - 2 in the form a + i*n and give i.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4417, -5, -2, 3, -13, -1 in decreasing order.\nAnswer: 4417, 3, -1, -2, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -4*b**2. Suppose 0 = y, -2*y + 0*y + 4 = -4*d. Let x = 1 - d. Let i(u) = -u**2 - x*u**2 + 4*u**2. What is i(z(v))?\nAnswer: 16*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**2 + 2 - 2 + (2*i + 2 - 2)*(i + 0*i + i) + 6*i**2 - i**2 + 4*i**2 - 2*i**2 - 5*i**2 + 4*i**2.\nAnswer: 11*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9.4 + -2.4. Let n = 1.1 + 9.9. Let a = f - n. What is the second biggest value in 2\/7, 4, a?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-57)\/15 - (-182931)\/(-1405) - -30.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d + 1. Let p be k(-5). Let a = 11 + p. Solve 3 = a*g - 1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688588 to the power of 1\/2, to the nearest integer?\nAnswer: 830","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*m**3 - 4*m**3 + 5*m**3 + (3*m**3 - 2*m**3 - 3*m**3)*(-2 - 1 + 1).\nAnswer: -14*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 1:05 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 + 14. Suppose u*b = 9*b - 72. Let f(n) = -n**2 + 7*n + 4. Calculate f(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.27 + -0.09. Let i = 1.28 - y. Is i at most as big as -2\/209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-40)\/15)\/(-4) - 10210\/(-12). Let u = -827 + p. What is the common denominator of u and -97\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1305)\/42)\/(-5) + (-24)\/(-84))*2?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o. Let j(b) = -b**2 + 2*b + 5. Let p be j(0). Let y(i) = -i**2 + 11*i. Let w(g) = p*l(g) + y(g). Determine w(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 21*k - 12. Give j(3).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 0*x**3 + 80*x + 3*x**2 + 3*x**3 - 2 - 78*x - x**3. Calculate a(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 750 - 1501 + 101*h**3 + 751.\nAnswer: 101*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 18 = 4*c + 1, -c - 3*b = 0. What is the third biggest value in 1, c, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 213 = -q + 3*y, -2*q + 130 = -y. Let b = q - 25. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -244*m**2 + 499*m**2 - 221*m**2.\nAnswer: 34*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 476 is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2534ddc1 - -3?\nAnswer: 2534ddc4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 5*o**2 + o. Calculate the remainder when (20\/(-25))\/(3\/(-45)) is divided by y(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = 0, 5*h - s - 1 = 4*h - 0*s for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 2*b + 20. Suppose b*g - 86 = -26. Calculate the smallest common multiple of g and 14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of n**4\/6 - 5*n**3\/6 - 7*n**2\/2 - 7. Let u(r) be the second derivative of c(r). Calculate u(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*b**4 + 4077280*b**3 - 166244568334*b**2 + 199489078560*b - 59846283225.\nAnswer: -(b - 81545)**2*(5*b - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of -7601*z**6\/120 + z**4\/24 + 14423*z**3\/6 + 4*z**2 + 70*z - 8. Differentiate q(h) with respect to h.\nAnswer: -22803*h**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/5 - (-6 - 285\/(-25)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2018*x + 14894. Is w(-8) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/14 + (-185)\/(-35). What is the third derivative of 4*m**2 + 0*m**4 - 3*m**4 + 3*m**4 - 2*m**l wrt m?\nAnswer: -120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -4, 5 in increasing order.\nAnswer: -8, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qgu when three letters picked without replacement from qug?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 20321017 to the power of 1\/2, to the nearest integer?\nAnswer: 4508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bvvvvbvvbvb. What is prob of picking 2 v?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 = -22*c - 18*c. Let o be (1 - (c - -2))*(-6)\/15. Factor -4\/9 - 2\/9*a**o + 2\/3*a.\nAnswer: -2*(a - 2)*(a - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63\/8 of a millennium in years?\nAnswer: 7875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1298515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + 2)*(-40)\/(-16). Suppose 0 = -y - 1 + m, 0 = 5*o - 2*y + 258. What is the common denominator of -41\/8 and 3\/(-1) - o\/16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/1903 or 0?\nAnswer: -1\/1903","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 17 = 5*j, 4*a - 3 = 4*j - 19 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -14908, -3, 224 in decreasing order.\nAnswer: 224, 11, -3, -14908","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161051 is divided by 16105.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = q + 4*q + 10, -4*g = -5*q + 30. Suppose q*u = 5*u - 252. What are the prime factors of u?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44985 - 89967\/2. Solve 0 - u*t + 1\/2*t**2 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3*sqrt(891).\nAnswer: -27*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - 3 - ((-7 - 4 - 51) + -5).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12599, 7, -3, -1 in decreasing order.\nAnswer: 7, -1, -3, -12599","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cyx when three letters picked without replacement from eaeeymaacxem.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73498, -72691, -71944, -71287, -70750, -70363, -70156, -70159?\nAnswer: -70402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -95, -0.3, 158887 in descending order.\nAnswer: 158887, -0.3, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 242 + 240003200?\nAnswer: 240003442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 3*y**2 + y - 9. Let n be j(-4). Suppose -2*a - 4 = -2*d - 2*d, n*a - 2 = 2*d. Let t(g) = d - 1 - 8*g + 0 + 18*g. Give t(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of u**5\/20 + 7*u**4\/12 - u**3\/6 - 5*u**2\/2 - 16*u. Let i be f(-7). Let t(s) = 24*s + 4. Is 13 a factor of t(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*y + 5 - 460. Let f be (3\/(63\/(-15)))\/((-7)\/49). What is the greatest common divisor of y and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2. Let y(d) = 3605*d + 20. Calculate y(p(i)).\nAnswer: -3605*i**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*b*d*l**4 - 2*b*d*l - 7*b*d - 299*b*l**3 - d*l**4 + 399*l**2 wrt l?\nAnswer: 432*b*d*l - 1794*b - 24*d*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1302)\/(-78) - 323\/19) + 16\/32?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*c**5 + 35*c**3 + 108*c**2 wrt c.\nAnswer: -180*c**2 + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**3 + 2*w**3 - w**3)*(0*w - 4*w - 2*w)*(12 + 3 + 12)*(-4 + 0 + 5).\nAnswer: 324*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12660 or -11588?\nAnswer: -11588","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*2*sqrt(144))\/sqrt(12).\nAnswer: 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b**2 + 2*b + 35*b**2 - 2*b.\nAnswer: 32*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-8 - 4 + 0)*(-3 - 13 + 10) - 1 - 3 + 3)*(-28 - 13*p + 28)*(-1 - 1 + 0) to the form n + w*p and give w.\nAnswer: 1846","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -g**2\/2 + 5. Let h be d(-3). Let w = 571 + -569. Solve h - 11 = w*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 5 = -2*v. Let l be v\/(-2) - (-30)\/4. Suppose 2*i = -5*m - 18, -2*m + 2*i - l*i = 24. Which is the closest to -1? (a) -0.5 (b) -1\/4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 86632 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2575638*q - 2575265*q + 12309 = 0 for q.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2 + (0 + sqrt(200))*-6) - (2*-4*sqrt(200) - (sqrt(200)*4*3)**2).\nAnswer: 320*sqrt(2) + 28792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 3*z = 3 - 24, -6 = -3*c - z. Suppose 0 = 3*h + c - 0. Let r be (-12)\/(-8) - (-107)\/(-74). Which is bigger: r or h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10\/(-4))\/((-10)\/20). Suppose -4*b + i + 14 = 0, -x*i = 2*b - 2*i. Solve 3*v - 6 = -5*t, t + b*t = -5*v - 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.267539 centuries to millennia.\nAnswer: 0.6267539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 2070 = k, 3*w - 6*k + 10*k - 880 = 0. What is the smallest common multiple of 24 and w?\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23151677 or 23151675?\nAnswer: 23151675","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 33*c + 7. Determine a(6).\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17196795 + 17196795 - 3*u**2.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -17.93. Let v = 0.43 - f. What is the nearest to 0 in 1, -0.2, v?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*g + 15*g + 2*x - 30972004 = 0, -x = -2. Round g to the nearest one hundred thousand.\nAnswer: -7700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51494647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -40 - -1?\nAnswer: -3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 112.\nAnswer: -3, 5, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + 15 + 3 + -5?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 8*u**2 + 5*u + 1. Suppose -5*v - 7 = 3*i, 0 = 2*i - i + 2*v + 1. Is f(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/20565? (a) 0.3 (b) 5 (c) -6 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-6))\/(4\/(-24)). Put 0, -0.4, -2\/9, 1\/21, a in decreasing order.\nAnswer: 1\/21, 0, -2\/9, -0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/4))**21)**(-12\/11)*a*a**(-4)*a*a*a*a\/a**6*a*(a**(-6)*a)\/(a*a\/(a*a\/(a**(-2\/9)\/a)*a)) assuming a is positive.\nAnswer: a**(-104\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -5*u - d - 145, 5*d - 115 = 5*u. Let c = -13 - u. Calculate the remainder when c is divided by (-7)\/14 + 22\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 932.\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4178 at least as big as 4174?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22092 and 12?\nAnswer: 22092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 12*a - 544. Is j(56) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52881 is divided by 3121.\nAnswer: 2945","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/2*-9*(-4)\/24?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-11)*7\/((-2800)\/(-480))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 1372?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 798 and 1453746.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5611250 and 5000?\nAnswer: 22445000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -1. Let t(w) = -2*w - 6. Suppose -3*y + 80 = 2*y. Suppose -y*g + 12*g = 16. Give g*k(h) + t(h).\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31 + 18*c**2 - 31)*(-3*c**3 + 0*c**3 + 4*c**3 + (-3*c**3 + 0*c**3 + c**3)*(0 - 3 + 6) + 0*c**3 - 3*c**3 + c**3 + c - c + c**3) + 2*c**4 - c**5 - 2*c**4.\nAnswer: -109*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a milligram in micrograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 8*o + 58. Is 18 a factor of 3504\/108 - (-4)\/o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 7*n**2 + n - 2. Let h be j(-4). Which is greater: 107 or h?\nAnswer: 107","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1147602 minus 0.5?\nAnswer: -0.3852398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4659 divided by 1185.\nAnswer: 1553\/395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-2121)\/140)\/(45\/(-10)) and 131\/150.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -853*i**3 - i**2 - 2*i - 1. Is u(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.22+-366\nAnswer: -365.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h + 13*h + 17*h - 3*h.\nAnswer: 24*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, w: 1, r: 1}. What is prob of sequence aar?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of 26 - 9\/16*v**2 + 0*v - 1\/8*v**3. Solve y(u) = 0 for u.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 7 = -3*r, 4*p - 38*r + 12 = -34*r for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lje when three letters picked without replacement from nrlnlleelejl?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -3*b + 2. Let s(z) = z**3 - 3*z**2 - 3. Let q be s(3). Suppose -38*u + 12 = -41*u. Let v(p) = 2*p - 1. Determine q*h(x) + u*v(x).\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 303579725 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 470 + -468. Suppose -3*f - r*m = -277, 8*m = 12*m + 4. What are the prime factors of f?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(189)\/sqrt(7)*6 + -2)*2*3)**2.\nAnswer: -2592*sqrt(3) + 35136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 18*p**2 - 28*p + 62. Let o(y) = 6*y**2 - 9*y + 20. Let h(b) = -5*g(b) + 16*o(b). Calculate the remainder when 376 is divided by h(-3).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20078, 40198, 60362, 80570, 100822, 121118?\nAnswer: 141458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-155)\/(-31) - (-99)\/(-21).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of x**6\/10 - 3*x**5\/20 + 8*x. Suppose k(n) = 0. What is n?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 9\/(-6))*2. Let q(u) be the first derivative of 1\/12*u**t - 1\/4*u - 3 + 0*u**2. Determine z so that q(z) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 16\/5, 0.003, 2, -3, -2, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3808\/15 + 254. Let a = -0.603 - -0.103. Sort 4\/7, 0, a, i.\nAnswer: a, 0, i, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*1*sqrt(114))\/(sqrt(72)\/sqrt(4) + sqrt(2)))\/(sqrt(108)*2*6*5).\nAnswer: sqrt(19)\/1440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qiocfzizozzzo. Give prob of sequence fi.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5*(-5)\/60*16\/30. Let n = 0.3 - 4.3. Which is the second biggest value? (a) 5 (b) x (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19884.0000098139 + -19884. What is h rounded to seven decimal places?\nAnswer: 0.0000098","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-27) - (-14)\/(-18). Let f = 17 - 15. What is the nearest to 3 in c, 3, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2. Let f(a) = 60*a + 38*a - 48*a + 43*a + 33*a. Give f(w(s)).\nAnswer: 126*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -739846 and -8.84.\nAnswer: 6540238.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 90.61231nm?\nAnswer: 0.00000000009061231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -64.9 + 70. Let v = 9.5 - f. Let x = -3.4 + v. Which is the second smallest value? (a) -1 (b) -5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -7. Let f(p) = -p. Let r(b) = 4*b + 5. Let w(c) = 6*f(c) + r(c). Let n be w(0). What is the second biggest value in n, -1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o + 13265 - 13265 + 3*o - 6678*o**2.\nAnswer: -6678*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - c + 0*c + (c - 2*c + 3*c)*(0 - 1 - 2))*(0*c**2 - 4*c**2 + c**2).\nAnswer: 21*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 46508499 - 2854.39?\nAnswer: 46505644.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-6)*w*w\/((w*w**7)\/w*w*w)*(w*w**9)\/w*w*w**(-2\/5) assuming w is positive.\nAnswer: w**(-17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 122148 and 407160.\nAnswer: 1221480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 11 - (1 - 7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h - 71. Let a(g) = 2*g - 72. Let n(q) = -6*a(q) + 5*u(q). Let c be n(-25). Solve 31 - 4 = -3*i - 5*p, i = c*p + 2 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2745, 2744, 2743, 2742?\nAnswer: 2741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 215929.4l to millilitres.\nAnswer: 215929400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 34737123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -68.9 and 78.\nAnswer: -5374.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + -12 - (-40 + 9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -357 by -1.\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1589454161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16933450 to the nearest integer?\nAnswer: 4115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 6) + -33 + 38.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16555410*i + 52020214 wrt i.\nAnswer: 16555410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.77 or 434?\nAnswer: 0.77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*w + 23*w = 30 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 113894, 227808, 341730, 455660?\nAnswer: 569598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 39520.99 minutes in seconds?\nAnswer: 2371259.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 89249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**3 - 841*c**2 - 177240*c - 176400 = 0. What is c?\nAnswer: -420, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-14))\/((-36)\/21)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 4*h. Which is bigger: -2\/5 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 336549 and 255.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 23*g**2 + 36*g + 1. Let q be j(-2). Suppose q = 10*n + 1. Let w(b) = b. Determine w(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -9, -3\/5, -5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -106594, -111367, -116140, -120913, -125686?\nAnswer: -130459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 6*d + 2, d - 20 = -3*f. Let b be 5 - (5 + (-24)\/f). Solve b*v - 2 + 22 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -2.518 (b) -2\/9 (c) -0.204\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 v when two letters picked without replacement from {o: 3, r: 1, l: 5, v: 1, x: 1}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + o + 4*o)*(-o**2 + o - o) + 2*o**3 + 2*o**3 - 5*o**3 + 3*o**3 - 274 - 247 + 480.\nAnswer: o**3 - 41","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4894038401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h. Let o = -3 + 7. Let m be (-11)\/(-2) - (-4)\/8. Let d(t) = -4*t + m*t - o*t. Determine d(c(j)).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 360, 362, 372, 396, 440, 510, 612, 752?\n\"Answer: c**3 - 2*c**2 + c + 360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 3*o - 62, -3*o = -3*s - 43 + 13. Suppose o*m + 20*m = 38488. Is m a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.058 - 3.958. Let p = 9.2 - -0.8. What is the second biggest value in -1, -2, c, p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 13) in base 5?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 h when three letters picked without replacement from righghd?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, w: 2}. Give prob of picking 2 w.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 11\/2 (c) -3 (d) 1.3 (e) 30 (f) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12 - 9 - (-3)\/(-5))*5. What is the highest common factor of 132 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1, 35, 91, 169, 269, 391?\n\"Answer: 11*o**2 + o - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/9 bigger than -11\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1023374758 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1807457 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -309037425*a**3*y - 3*a**3 + a**2*y - 2*a**2 - 140*a*y - 37*a + 16*y - 22 wrt a.\nAnswer: -1854224550*y - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - -21 - (-7 + -6 + 20 + -27).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35 + -24. Suppose -9*m = -w*m - 880. Round m to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 15.311 and 26.147.\nAnswer: 41.458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2047?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -4*a**3 + 66*a**2 - 328*a + 3590. Calculate v(15).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52326*l**3 + 91 + 332 + 52324*l**3 to t + x*l**3 + z*l + f*l**2 and give t.\nAnswer: 423","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3131 divided by -101.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t - t + 3*d + 19, -2*t + 14 = -2*d for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 779 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h. Let o(r) be the first derivative of 33*r**2\/2 - 2*r - 128. Calculate j(o(l)).\nAnswer: -66*l + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -1. Let n(g) = 31*g + 10*g + 4*g. What are the prime factors of n(v)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(-2))\/((-2)\/(-4)). What is the tens digit of (-4 + 3)\/(t\/17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 0*x - 3*f + 74 = 0, -4*x + 5*f = -74. Let c = x + -9. Is c at most as big as 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 87406 - (6\/5)\/(45\/(-150)). Let v = 139910 - r. What is v rounded to the nearest 1000?\nAnswer: 53000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*r - 14 + 38 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1869878.\nAnswer: 2, 934939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10\/37 - -104\/111. Let i = 1992\/7 + -285. Which is the nearest to u? (a) i (b) -0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 33266636\nAnswer: -33266634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -116, -2, 2 in increasing order.\nAnswer: -116, -2, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 - 16. Let h(n) = -21*n**3 + n**2 - n - 1. Calculate the remainder when h(-1) is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/((-12)\/1)*6. Let x(y) be the second derivative of y**4\/3 - y**3\/3 + 586*y + 2. Determine x(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i*i*i*i**(-1\/3)*i)**(1\/35)*(i**(2\/3)\/i)**(-2\/81))\/((i\/(i**(-7)\/i))\/((i**(-5)*i)\/i)*(i**(-2))**(5\/17)) assuming i is positive.\nAnswer: i**(-1914541\/144585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/17)\/((n\/(n*n*n\/n**(-3\/5)*n))\/n*n)*n**(-5\/4)\/n**(-1))\/((((n*n**(-1\/3))\/n)\/n**(-1))\/(n*n\/n**1)**41) assuming n is positive.\nAnswer: n**(44677\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15 or 306?\nAnswer: 306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 63\/(-12) + 6\/24. Let r be i\/((-25)\/85)*17. Suppose 5*s - r = 51. Is 9 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8298 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1377, -2770, -4165, -5562, -6961, -8362?\nAnswer: -9765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 8*g + 2. Suppose 0 = -2*k + 4*a + 24, 4*k + 2*a = a + 21. Let d = -2 + k. Calculate the least common multiple of 8 and l(d).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 3)*(-7*a**4 - 22*a**4 - 3*a**4).\nAnswer: 128*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 296, -4, -1, 11\/13 in ascending order.\nAnswer: -4, -1, 11\/13, 296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a3 + -12?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*g**2)*(-18 + 7 + 9) + (-3*g + 3*g + g**2)*(-3 + 2 + 3).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 409*w**2 + 123*w wrt w.\nAnswer: 818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 2624, -5 in descending order.\nAnswer: 2624, 5, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 210, 198, 170, 120, 42?\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2*h + 95775 = 23818, -3*h - 71963 = -5*w. Does 8 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 238 - 266. Let t = 14 + h. Which is the nearest to 0.1? (a) 0.5 (b) 1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3 = -12. Suppose y*z - 3 = 0, -7*n + 3*z = -3*n + 11. Let b be 1\/n - (-22)\/4. Solve -5 = -0*v + b*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, n: 10}. What is prob of sequence nr?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 73237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2211*j**2 - 1309*j**2 - 880*j**2.\nAnswer: 22*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 6, s: 3, i: 1, l: 2}. What is prob of sequence kk?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of -f**4\/24 + 3*f**3 + 2*f**2 - 19. Let h be x(-9). Solve -30*n = -h*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 23*k**2 + 37*k + 513. What is the tens digit of l(19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**2 - c + c + (-c + 2*c - 3*c)*(-3*c + c + 0*c) + 2*c**2 - c**2 + 0*c**2 + (2*c - 4*c + 0*c)*(-4*c - 3*c + c).\nAnswer: 19*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3879778?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from svjvsssvjssjfjvjj. Give prob of sequence jjf.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 3, 4, 0, -1, 542.\nAnswer: -6, -1, 0, 3, 4, 542","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 175\/28 + (-1)\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 10*s**2 - 6*s + 12. Calculate the remainder when l(11) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3240, 6932, 11106, 15792, 21020?\n\"Answer: 5*c**3 + 211*c**2 + 3024*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 4*g + 13. Let u be c(0). Suppose u - 31 = -3*w. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 14271\/(-284) + (-1 - (-5)\/4).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -18219*n**2\/4 + 27339*n - 63 = 0. Calculate n.\nAnswer: 14\/6073, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -268.002*0.118.\nAnswer: -31.624236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/103 or 24\/11?\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 28737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, -1, -4.14, -33 in decreasing order.\nAnswer: 1\/7, -1, -4.14, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 332275 - 332277. Let v = 4 + -6. What is the nearest to v in -4, r, -0.05?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41 (base 9) to base 2\nAnswer: -100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirty-one fifths of a gram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 13*f**2 - 29*f + 19. Let r(b) = -32*b**2 + 72*b - 48. Let k(q) = -12*m(q) - 5*r(q). Let g be k(9). Suppose -3*y = y - g. List the prime factors of y.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -30, -63, -108, -165?\nAnswer: -234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 v when three letters picked without replacement from {v: 16, q: 2}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 6?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 10*b**2. Let h be t(-10). Let k(s) = h - 3*s + 0. Let n(j) = -2*j. What is k(n(u))?\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5.2? (a) 0 (b) -1 (c) 0.2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -773*n**3\/3 - 1385*n - 662. What is the derivative of g(w) wrt w?\nAnswer: -1546*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1\/11 (b) 1272 (c) 1\/22 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (35\/(-2) - -20) + (-34)\/16. Which is the closest to 0.1? (a) m (b) -1 (c) -2 (d) 0.24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -4*d + 2*b, -7*b + 2*b = -2*d + 9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -223.5012 rounded to the nearest ten?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 39223221, 3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-55)\/(-10 - -21) - -537. What is the greatest common divisor of m and 2432?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 28*g**2 - g + 29. What is h(28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10791 + 10804. Solve -5*c - y*j - 12 = -9*j, -5*c = j + 18 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 0.3433602, 4 in decreasing order.\nAnswer: 10, 4, 0.3433602","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 - 157 = -2*d. What is the remainder when d is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7*3\/(-3) - -1. Let d(u) = -u - 4. What is the units digit of d(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**4 - 675565*i**3 + 22820416775*i**2 - 68455170375*i.\nAnswer: 5*i*(i - 67555)**2*(i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - y = -1, 470*w - 3 = 467*w - y for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 12745594*q. Let b(n) = -27*n**2. Determine b(m(l)).\nAnswer: -4386154493146572*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 3:54 AM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (795\/1590)\/(3*(3\/(-126))\/(-1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k + 4. Suppose 9 = 5*p - 11. Let b be q(p). Suppose 16 = 2*t + 4*o - 4, 4*t - 4*o + 20 = 0. Put t, 1, b in decreasing order.\nAnswer: 1, t, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 2)*(2*d**2 - 4*d**2 + 3*d**2)*(47 - 14*d - 47 - 2*d + 3*d - 4*d + (2*d - 3*d + 3*d)*(1 - 4 + 2) + 1 - 1 - d).\nAnswer: 20*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146697 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -4, -2*t - t - 10 = i. Let m be 15\/(-40)*i\/9. Which is the closest to -0.15? (a) -4 (b) m (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45359250 = -d - 22577313. Let t = -36936563 - d. Suppose -5*i + 0*i - t = 0. What is i rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1572036092*0.3.\nAnswer: 471610827.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 6480612?\nAnswer: 25922448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 3*q + 99 = 0, -5*z + 101 = 3*q - 60. Suppose 38 = -29*u + z*u. What is u rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -100*r**3 - 7500*r**2 - 11*r - 822. What is s(-75)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 19*t + 3. Let d(y) = -1540*y - 242. Calculate -6*d(g) - 484*k(g).\nAnswer: 44*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 3 + 6)*(o**3 - o**3 - 5*o**3) to t*o**3 + i*o**2 + y + d*o and give t.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4527282 is divided by 4527265.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (7 - 2) + -17.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 40 = -0*l. Let d = 29 + l. What is the remainder when 25 is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 1. Suppose f*g - 1019 = 7799. Suppose 3*a - a = -k - 8803, 3*k + g = -a. Round a to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + 0 + (0 - -4). Solve -3*x = -4*x - z for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 276*a + 3643. Let w be l(-13). Does w = -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 1)\/((-4)\/(-152)). Let g be z\/(-8) + 1\/4. Solve -23 - 2 = -5*m, -g*i + 5*m = 15 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/10 and 41\/137.\nAnswer: 1370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 366920 and 295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + 10*t - 51. Let u be z(-14). Solve -u = -3*m + 4*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -12 - 4. Suppose -10*x + 5*x = -3*m - 42, o*m + 14 = 2*x. Suppose -21 + x = -z. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1015134 (base 7) in base 15?\nAnswer: 26179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1158953, -2317986, -3477019, -4636052, -5795085?\n\"Answer: -1159033*s + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 12320\/(-21700) + (-1)\/31\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 c when three letters picked without replacement from {i: 4, c: 3}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9305.2 grams in milligrams?\nAnswer: 9305200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5038 - 4902. Which is the nearest to 2\/3? (a) s (b) 0.5 (c) 1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 22*g. Let f(c) = c - 980002. What is y(f(q))?\nAnswer: 22*q - 21560044","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2651 is divided by 908?\nAnswer: 835","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-30) - 12\/(-24).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*z**4 + 12 + 13 + 10*z**4 + 96 + 11*z**4 with respect to z.\nAnswer: 56*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36 - -36. Suppose -2*c + y*c = 0. Solve f = -c*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n - 3 + 3. Let s = 8 - 7. What is u(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35832449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**0)**(-33)\/((s*s**(-4\/5))\/((s**(-8)*s*s)\/s*s)))**(-24) assuming s is positive.\nAnswer: s**(744\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-16)\/(-2) + -3)\/((-39)\/(-117)). Solve 7*q - 5*q = 5*w + d, -15 = 3*q for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-6)*(-3615)\/(-964). Let w = 6 - 12. Let h(u) = -u**2 - 10*u - 4. Let f be h(w). Solve v = -0*c - 5*c - 20, j*c + f = -3*v for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 39, -4 in descending order.\nAnswer: 39, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 + 5*s - 5*s)*(-542 - 156 - 531 - 318)*(-3 + 4 - 3).\nAnswer: -6188*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6*((-7)\/4*2 - -3). Let y be (d\/(-12) + 4\/16)*-2. Is (y*2\/(-2))\/(3\/99) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**2 + 6*f**2 - 2*f**2)*(-98*f + 6*f - 27*f).\nAnswer: -119*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/15 - (1112\/10)\/(-2). Let r be 8\/6*(-24)\/m. Let n = -453\/8 - -113\/2. What is the closest to n in -2, r, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 13*f - 56. Suppose -647*u + 640*u + 119 = 0. Let p be q(u). Calculate the greatest common factor of 28 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100211001 - -112120100?\nAnswer: 11202022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -14. Suppose 4*i - x*i = -20. Solve 5*g = -i*k, 2*k = 3*g + 6*k + 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -382, -381, -378, -373?\n\"Answer: o**2 - 2*o - 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 - 30.5. Which is the fourth smallest value? (a) -1\/8 (b) 0.1 (c) v (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 11, c: 5, f: 2, n: 1}. What is prob of sequence fnc?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 78.4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/36 - (-20)\/9. Suppose -n*w + 11 = -3. Suppose -2*k - 18 = -2*z - w*k, -5*z = 3*k - 7. Put 1, -4, 4, z in increasing order.\nAnswer: -4, z, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -42106 + -3?\nAnswer: -42112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1015212215 - 10?\nAnswer: -1015212225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 9*v. Let l(d) be the second derivative of -d**4\/6 + 3*d. Determine l(m(o)).\nAnswer: -162*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 23*j**2 - 111*j + 7. Does 51 divide y(20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/31, 435, -5\/27, 2\/19 in decreasing order.\nAnswer: 435, 2\/19, 2\/31, -5\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53*-0.4.\nAnswer: 21.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 r when two letters picked without replacement from uhhbrrrruubrrhuhrrrr.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (160\/(-75))\/(-1) + 2\/(-15). Suppose -7*t = -i*h - 2*t - 251, -301 = 2*h + 5*t. Let s = 24 - h. Is 9 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2179 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: Suppose 9*w + 9 + 45 = 0. Let a(q) = q**2 + 3*q - 13. Let f be a(w). Solve -f*r = -4 - 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 1151*q**2 + 14964*q + 7. Determine s(-13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1443 and 117.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(30)*-3 - (3*sqrt(330))\/sqrt(11))\/((sqrt(360)*-1 - sqrt(10))*1*6).\nAnswer: -5*sqrt(3)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20414 and 354?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59304 is divided by 159.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ixh when three letters picked without replacement from isxuuussuiuuishvs?\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32)*2)\/((sqrt(64)\/sqrt(4))\/sqrt(4)).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**2 - 7*n + 11. Let w be l(-5). Let s be (-1 - 0)*20\/w*1. Solve 3*r = -s*u - 1 + 12, r = -5*u + 17 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14 - -4)*-1)\/(12\/6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -21 + 4. Suppose -3*g = -w*g + 23604000. What is g rounded to the nearest 100000?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27.4 - -87.6. Put 0, -5, c in increasing order.\nAnswer: -5, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 122040885?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -5*b**3 + b + 1. Let y be p(-1). Let f = 9 - y. Solve 0 = 4*r - 2*i - 22, 1 = -r - f*i + 2 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 18 = -3*k, 27320*d = 27318*d + 4*k - 14 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1180211675 to the power of 1\/5, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216 = -5*c + 18*t - 17*t, 0 = -2*t + 8. Calculate the greatest common divisor of 28 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-15))\/((-40)\/200).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 167060 to the nearest one thousand.\nAnswer: 167000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*q**3*u**3 + q**3*u**2 - 876*q**2*u + 2*u**5 - 21*u**3 wrt u?\nAnswer: -42*q**3 + 120*u**2 - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f + 1 - 8*f + 5*f - 1605*f**3 - 1569*f**3 + 3160*f**3.\nAnswer: -14*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4488 and 18768.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqlqqllspqlpqml. What is prob of picking 1 s and 2 p?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 4*m**2 - 112. Let g(x) = 38*x**2 + 16. Determine g(w(d)).\nAnswer: 608*d**4 - 34048*d**2 + 476688","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 6*b**2 - b + 32. Let n be r(0). Let j be (-2)\/((-99)\/(-51) - 2). Solve -j*c + n*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43096.08 days in minutes?\nAnswer: 62058355.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of 17*s**4\/6 + 37*s - 1. Let a(g) = -4*g. Calculate a(n(m)).\nAnswer: -136*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 5*k**3 - k**2 + 50*k + 56. Let w(v) = 2*v**3 + 17*v + 19. Let s(n) = 3*c(n) - 8*w(n). What is the units digit of s(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.06, -0.8, 5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(-1\/2)\/s))**(3\/17)\/((s*s**(-5))\/(s*s*s*s*s**10*s)) assuming s is positive.\nAnswer: s**(661\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 6 - 8)*(3 + 0 - 5)*(-3 + 2*f + 3)*(2*f - f + 2*f) as y*f**2 + m + h*f and give y.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/322 and 147062\/(-13344) - (-2)\/(-32).\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of x**6\/10 + x**3\/3 - 7*x - 4. Let k(v) be the first derivative of o(v). Find the second derivative of k(d) wrt d.\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19725 = 19422*o - 19419*o. Does 54 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -182d (base 15) to base 14.\nAnswer: -1c8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -71860.62 rounded to the nearest one thousand?\nAnswer: -72000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u + 9. Let z be g(7). Suppose -4*o - o = -5. Put 4, o, z in decreasing order.\nAnswer: 4, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198729 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.16 - 5.16. What is the nearest to 1 in -4\/3, p, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 913615 times -15.5?\nAnswer: -14161032.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*c*j*z**2 - 15335*c*q*z**2 - 7*c*q*z - 154602730*j*q*z**2 - 658*q*z**2 wrt j?\nAnswer: -2*c*z**2 - 154602730*q*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 24694, 98798, 222306, 395218, 617534?\n\"Answer: 24702*q**2 - 2*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 0.2, -14 in ascending order.\nAnswer: -14, 0.2, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -125 (base 11) to base 7.\nAnswer: -301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -464319376 divided by -116079844.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + b + 0)*(0*b**3 + 0*b**3 - b**3) + 2*b + 2*b**4 - 2*b + 3*b**3 - 7*b**4 + 2*b**4 + 0*b**3.\nAnswer: -4*b**4 + 3*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286498 is divided by 392?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 121753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20435484?\nAnswer: 2, 3, 599, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003117627 to seven decimal places.\nAnswer: 0.0000312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 4 + 4 - 5 + 2*t as k*t + o and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 2*c)*(28 - 19*c**2 - 28) + 3*c + 2*c**3 - 3*c + (-3 + 3 - 2*c**2)*(-3*c + 7*c - 2*c) to the form a*c**3 + k*c**2 + o + t*c and give a.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 566504761?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 1497472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -231300121 (base 4) to base 8.\nAnswer: -556031","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1059684, 1059682, 1059680, 1059678, 1059676, 1059674?\nAnswer: 1059672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15 + -15c?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 139, 102, 49, -14, -81?\n\"Answer: s**3 - 14*s**2 - 2*s + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {o: 3, u: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 32534\/1337 or 24?\nAnswer: 32534\/1337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10\/(-15))\/((-4)\/18). Let o = 109\/539 + -1\/49. Let k = 0.2 - 0.3. Which is the nearest to k? (a) w (b) 0.3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.9772118 rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bism when four letters picked without replacement from moyobooioooioismooo?\nAnswer: 1\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1411 - -1406. Let l = 23\/4 - 6. Which is the second biggest value? (a) -5\/3 (b) -1 (c) o (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of -g**4\/12 - 2*g**3\/3 + 5*g**2\/2 - g. Let h(d) be the first derivative of b(d). What is the derivative of h(r) wrt r?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/55 (b) 29 (c) -23 (d) -1 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 + 29. Sort x, 4, -5, 2 in ascending order.\nAnswer: -5, x, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3320537 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-6))\/((-2)\/(-6)*(-51)\/884).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z = 2*z + 5*o - 17, o - 3 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 438.01315 + -438. Round l to three dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 8 = 5*z - 27, 5*z - 3*f - 3 = 0. Let d be (4\/6)\/(1\/z). Solve 5*s - 4*s - d = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from hqfzffhhrffhfhharfz.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.8 + 5.8. Which is the closest to -2? (a) -0.3 (b) -4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -432 divided by -1593.\nAnswer: 16\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 210122 (base 3) to base 8\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**3 - 3*t**2 - 4*t - 4. Let l(h) be the second derivative of h**5\/10 - h**4\/6 - h**3\/2 - 3*h**2\/2 + 34*h. Calculate -3*l(o) + 2*n(o).\nAnswer: -2*o**3 + o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in -3, 0.3, -1\/2, -0.4, -0.0515?\nAnswer: -0.0515","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -223 (base 6) to base 8.\nAnswer: -127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert cc05 (base 13) to base 9.\nAnswer: 42852","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 328492?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -8*k - 6. Let o be (-356)\/(-28) - (-8)\/28. Suppose 3*v + o = -5. Let r(g) = -2*g + 0 + 5 + 9*g. Give v*r(j) - 5*y(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of 2*a - 2 - 1\/2*a**2. Calculate o(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 4242?\nAnswer: 4234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 524.865 micrometers to nanometers.\nAnswer: 524865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3*f + 2. Let k(x) = -x**3 + 3*x + 1. Let l be k(-2). Suppose z - 5*z - 4*h + 32 = 0, 5*z - 3*h = 8. Let w(g) = 2*g - 1. Calculate l*s(y) + z*w(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 101101011010010000001110?\nAnswer: -101101011010010000001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dog when three letters picked without replacement from {o: 4, d: 2, g: 1}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29 - -18. Suppose -3*z + 13 + 28 = -4*t, -5*z - 4*t = -x. Suppose 0 = g - 14 - 6. What is the remainder when g is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of -u**6\/720 + u**4\/24 - u**2. Let j(w) be the second derivative of m(w). Let c(k) = -k**2. Calculate c(j(a)).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 215 + 241. Let j be l*(-19)\/2 + -3. Round j to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mh when two letters picked without replacement from whhwhwooxwmmhowzww.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 13016 to the power of 1\/2, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1840440?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4199, 4196, 4193, 4190, 4187, 4184?\nAnswer: 4181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 1:12 PM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 - 9. Let n be (-4)\/2 + -2*(-8 - -4). Suppose 2*j - i = n, j = 7*i - 4*i - 2. Solve -5*a - 2*m + h = 30, -3*m + 19 = -j*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 3*c + 75 = 0. Suppose -d - 22 + c = 0. Suppose 2*q + d*r + 161 = 7*q, -5*q - 2*r + 176 = 0. What are the prime factors of q?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 49 in 154, -0.29, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (3 - (0 - 0)) - 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3891865712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 8:26 PM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2947 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -117*m - 23. Let y(n) = -32*n - 6. Let p(a) = -6*c(a) + 22*y(a). Determine p(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4 + 472*t**3 - 952*t**2.\nAnswer: 2*t**2*(t - 2)*(t + 238)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37 and 296?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*z, -4*z - 173 = -4*f + 291. Calculate the highest common factor of f and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 359421053 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -4*a**2. What is q(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.466 - -2.2282. Let d = -16.6722 + x. Let k = d + 17. Round k to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 3 = 2*j. Suppose 5 = 3*z - j. Suppose -730 = -z*q + 88. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -694.2 + 694.369019. Let y = v - 0.169. What is y rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -205 divided by -126548\nAnswer: 205\/126548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2\/2 + 45765*x\/2 + 42425019.\nAnswer: -3*(x - 16926)*(x + 1671)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in twenty-five quarters of a millisecond?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of y**10\/105840 - y**9\/26460 + y**8\/23520 + y**4\/12 + 2*y. Let c(w) be the third derivative of h(w). Factor c(q).\nAnswer: 2*q**3*(q - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0454 times -887.7\nAnswer: 40.30158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1111132 to 2 dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x*((x\/(x*x**(1\/16))*x)\/x)\/x)*(x**(-14)*x)\/x*(x\/(x**(3\/10)*x))**(1\/28) assuming x is positive.\nAnswer: x**(-7251\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(147) + -1 + 5.\nAnswer: 4 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -199.887 - -200. Let v = q - -4.207. What is v rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 5 = -4*r, r + 5*d = -24 + 4 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1111011100001001110101 (base 2) to base 3\nAnswer: 21121122002120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 5, -4 in increasing order.\nAnswer: -4, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 778947.\nAnswer: 3, 13, 19973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 1:03 AM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -623.494 + 615.6. Let t = -0.006 + m. Let r = -9.4 - t. Which is the biggest value? (a) -3\/7 (b) -0.2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10439400 to the nearest one hundred thousand.\nAnswer: -10400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 11*n = 2886. Suppose -208 = -5*o + n. Suppose -3*a - 97 = -2*r, 4*r = -a - a + o. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + (0 + -3)*-1. Let t be 1*(l - (-3 + 1)). Let s(k) = 2*k**3 - 41*k**2 - 70*k + 91. Let y be s(22). Solve -t = y*u + u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000009161 rounded to 6 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 27 = h. Let k(s) be the first derivative of -3\/8*s**4 + 1\/2*s + 1 - 1\/4*s**2 - 5\/6*s**h. Suppose k(p) = 0. Calculate p.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 7*x**2 + x - 1. Let m = 7 + 4. Calculate the smallest common multiple of f(7) and m.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of -2*w**4\/3 - 8*w. Let k = -4 - -6. Let i(p) = 1 + 1 - 2 + k*p. Give i(r(l)).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1356983 a multiple of 193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 82.319.\nAnswer: 411.595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 11*i - 5. Let c be o(-6). Let q = 92 + c. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 plus 85549?\nAnswer: 85549.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-11)\/(-22))\/(1\/(-4)). Let u = r + 4. Is 2 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 135 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 223 a factor of 248645?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -4*y + 2930, m + 4*y + 950 = -0*y. Find the common denominator of ((-2)\/(-20))\/((-4)\/m) and -59\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (120\/50)\/3*6\/8.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, 2, 2\/15, -2, -3 in decreasing order.\nAnswer: 2, 2\/15, -2, -3, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 greater than -341331?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 89526\/7?\nAnswer: 89526\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -11 (b) -0.1 (c) 1 (d) -1\/3 (e) 12 (f) 16\/15 (g) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -113?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 3:06 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18.8 + -18. Let j = u + 4.2. What is the second biggest value in 0.1, 3, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 135\/4 + -34. Let n = 48.3 - 28.8. Let a = n - 6.5. Which is smaller: a or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 18898 + -5?\nAnswer: 18893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 210.983912 to one decimal place.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**4 + 1. Let z be 2*8\/(-16)*-4. Let r(l) = -10*l**4 + l**3 + 37. Let c(h) = z*b(h) + r(h). Find the first derivative of c(w) wrt w.\nAnswer: -8*w**3 + 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -29*x**2 + 8*x - 71?\nAnswer: -58*x + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161*x = 99*x + 145 - 21. Factor -28\/3*t + 4\/3*t**3 + 16\/3 + 8\/3*t**x.\nAnswer: 4*(t - 1)**2*(t + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 596467506.\nAnswer: 2, 3, 47, 2115133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7474, 7512, 7552, 7594, 7638?\nAnswer: 7684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*g + 0 + 0)*(-5 - 2*g + 5) + 2*g**2 + 0*g**2 - 3*g**2 - 24*g**2 - 347 + 347)*(-5*g + 2*g + g).\nAnswer: 42*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -71\/57 - -3061\/627. Calculate the common denominator of x and 39\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*r, -4*h + 131*r - 134*r - 5 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 8. Let w = -4.1 + -0.8. Let p = j + w. Which is the closest to 1? (a) 0.4 (b) p (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -391063304+0\nAnswer: -391063304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 12, 12860, -1, 0 in ascending order.\nAnswer: -5, -1, 0, 5, 12, 12860","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 16. Suppose 5*i + u*i - 10 = 0. Calculate the remainder when 6 is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 6:16 PM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -2 - -3 - -1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/12708 and -58\/4005?\nAnswer: 5655060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -222, -441, -658, -873?\nAnswer: -1086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4068 and 7095415?\nAnswer: 7095414.5932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s + 8. Let m = 20 - 34. Let k be a(m). Let f be 9 - 6*3\/k. Solve -5*l - f = -2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218128 is divided by 330.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-50)*-55 - (-4 - -8)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -5 + 3 - (-4 - -14).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20925 and 425.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 b when three letters picked without replacement from bzzzmbbzrbbmm?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 117380 by -27.\nAnswer: -117380\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1571969*g**5 - 825298*g?\nAnswer: -31439380*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 30903.4 or 0.185?\nAnswer: 30903.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 9*c**2 + 552*c + 2860. Determine r(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - 0)*(-1 - 1). Suppose -4*q - 1 = 3*w, 4*q - p*w = -q + 16. Suppose 27 = 4*r + 3*n, 3*n = -q*r + 14 + 7. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*c + 17 - 11*c + 25 - 2808*c**2 - 42 as z*c + s*c**2 + v and give s.\nAnswer: -2808","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyhh. What is prob of sequence hh?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9459 - -9493. Solve 3*w - 4*a + 11 = v, 16 = 4*w + 2*a for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.736 + 5.941. What is b rounded to 1 decimal place?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132.4525 millilitres in litres?\nAnswer: 0.1324525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -4*o**2 + o**2 - 3*o + 0*o. Let f(r) = 3*r**2 + 4*r. Suppose 3*q - 12 = -q. Suppose 15*k - 51 + 19 = -2. Determine k*f(l) + q*h(l).\nAnswer: -3*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u**3 + 16*u**2 + 34*u + 48. Determine f(-5).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475) - (1 + sqrt(475))*-4 - sqrt(475)*2*-5)**2 + -6*(4 + sqrt(475)*2) + -3.\nAnswer: 540*sqrt(19) + 106864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((sqrt(6)*1)\/sqrt(2))**2 - sqrt(18)\/(sqrt(12)\/sqrt(2))) + 4.\nAnswer: -sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -10*p + 168. Determine z(17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 2. Let i(d) be the first derivative of d**2\/2 + 14*d + 8. Let s be i(-14). Is s smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x\/x**(-1\/3))))**(7\/2)*(x**(-1))**0 assuming x is positive.\nAnswer: x**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175570285?\nAnswer: 5, 11, 3192187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 0.6. Let i = 2.295 - -0.705. What is the third biggest value in 2\/15, q, 0, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (208\/(-65))\/8*4085\/43.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5387, -10, 7, -3\/5 in increasing order.\nAnswer: -10, -3\/5, -2\/5387, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u + 6943 + 55319 = 25*u. List the prime factors of u.\nAnswer: 3, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 8 (b) 3 (c) 0.5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, -4, -5, -3955, -3 in ascending order.\nAnswer: -3955, -5, -4, -3, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w + 1. Determine d(12).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 418174709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-6*-6*sqrt(300)*-6)**2.\nAnswer: 125971200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -370 + 365 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0 (b) -0.9 (c) -1\/4 (d) 5\/3 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 3:10 AM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90743?\nAnswer: 103, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2226*m - 457*m = 26830 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 429346648 a multiple of 1652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 75*p + 33*p**2 - 13*p**2 + 116*p**3 - 271*p - 18*p**2 wrt p?\nAnswer: 696*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5 + (4 - -3))*(-28)\/(-8). Suppose 4*w - f*w + 2*l = -3551, 5889 = 5*w + 4*l. List the prime factors of w.\nAnswer: 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003276684627 to five dps.\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -78 - -51. Let j be (-16)\/(-6) + -3*3\/s. Suppose 2*t - 3 = j. Solve 7 + 8 = -t*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 2:29 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25687 - -51996. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1))**(-14\/5)\/((r*r\/r**(-2))\/(r*(r**2\/r)\/r)) assuming r is positive.\nAnswer: r**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 3 = 9. Let i be 22\/t - (-1)\/(-2). Let g = i - -17. What are the prime factors of g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188475 bigger than 188731?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7520 - -149. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2410*f**3 + 17*f + 8. Let j(b) = -796*b**3 + 6*b + 3. Give 8*j(t) - 3*r(t).\nAnswer: 862*t**3 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5249 + 4511. What is the thousands digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 981 and 18.\nAnswer: 1962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -864 - -838. What is the closest to -1 in -5, v, 10\/9?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v - 3. Let k be b(6). Let z = 0 - 0. Suppose z*w = k*w. Solve x = -w*o - 4*o + 14, 4*x = -2*o for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 10 = -5*f, 2*f - h = -2*f - 8. Let a be f\/(-6) + 32\/(-6). Let w = 8 + a. Is w a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 4*k**2 + 55*k + 92. Let m be i(-20). Solve -596 = -2*n - m for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of -1 + -1 + 7 - (4 + -1) and 124?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - 21\/(-9))\/(6\/9). Solve 0 = w*g + u - 2 - 3, 4*g - 19 = u for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -3*v + 3*u - 16, -12 = -3*u. Let i be 10 - -2 - (-3 - v). Solve 4*l + 8 = 0, -5*r - 2*l - 8 = i for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 139 + -47. Calculate the remainder when a is divided by 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 1 + 1)*(5*y**2 - 2*y**2 - 2*y**2) - 8*y**3 - 9*y**3 + 0*y**3 + (6*y - y - 3*y)*(-2*y**2 + 4*y - 4*y).\nAnswer: -22*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 67347499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5663214 to the power of 1\/2, to the nearest integer?\nAnswer: 2380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.276 + -0.034. Let h = 0.519 + 0.201. Let w = l + h. Round w to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 d when two letters picked without replacement from {v: 2, d: 4, e: 8}?\nAnswer: 32\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 9*x**2 - 2*x - 18. What are the prime factors of g(-7)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -246 divided by 74194\nAnswer: -123\/37097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 5579759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5424790?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 15*w = 7*w. Sort 0.1, 0.5, w, 82.\nAnswer: w, 0.1, 0.5, 82","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5 + (2*(((-2*sqrt(121) - sqrt(121))*-6)\/(-1*sqrt(539)) + -5*(-2*sqrt(176) + 1)))**2.\nAnswer: -10480*sqrt(11)\/7 + 3024844\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 3*x + 7*x + 5165, -4*l = 3*x - 20698. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3.233074 centimeters?\nAnswer: 0.03233074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b + 8*b - 2*b - b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*r + 28616*n - 28612*n - 176 = 0, -43 = -298*r + 301*r - n for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299 is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 147 + -140. Suppose 0 = -c*f - 806 + 3060. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 282*d - 3*d**2 - 573*d + 292*d + 5*d**3 + 2 in the form l*d**2 + z + o*d + g*d**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*q - 50*q + 95*q.\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 227 + -87. Let d = -118 + u. Suppose -2*i - 4*j = -3*j - 29, 5*j = 25. Calculate the remainder when d is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 470 is divided by 449?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42376.\nAnswer: 2, 5297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-39)\/(-6))\/(2\/72). Suppose 0 = g + 2*g - z. Suppose 4*t + 336 = 4*c, 0 = -c + 4*t - t + g. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -20*m - 9. Give k(3).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.18619 and -70.\nAnswer: -13.0333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 3:21 AM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -0.4, 77, 2\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3*x + 16 = 0. Suppose 0 = -x*l + 5 + 7. Suppose -3*w - 2*w + 4*v + 20 = 0, -w - l*v + 23 = 0. What is the smallest common multiple of 14 and w?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -13*u. Suppose -y = -d + 11, 0 = 6*d - d. Let j(n) = 7*n. Give y*j(o) - 6*x(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3 + 3135*j**2 + 946014 + 1130125*j - 309541*j - 128562.\nAnswer: 3*(j + 1)*(j + 522)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4*s**2 + s + 1. Let h be y(-1). Solve -f = -4*m + h*f, -m - 2*f = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t**2 + 2492*t - 24520 = 0. Calculate t.\nAnswer: 10, 613","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 886\/685 + 42\/137. What is the third smallest value in 21, p, 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9399*a**3*m**2 - 120*a**3*m + a**3 + 5*a**2*m wrt m.\nAnswer: 18798*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**4 + 11539*a**2 - 11729*a.\nAnswer: -24*a**2 + 23078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 147 and 924?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*k + 559 + 73 + 22*k.\nAnswer: 72*k + 632","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5324)*-5 + ((sqrt(11) + 1)**2*-1 - (sqrt(11) + (sqrt(11) - (sqrt(11) + sqrt(275)*2))**2)).\nAnswer: -1112 - 113*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 25548 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -5026, 3\/2, -1\/2, -5, 1.4 in decreasing order.\nAnswer: 3\/2, 1.4, -1\/2, -5, -5026","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - (1 - -1) - (-38 + 28 + 6)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1212 and 21276.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 12000, 3.9, 1\/4, 5?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 536*u**3 - 80*u**2 - 210*u - 17. Let v(k) = -179*k**3 + 28*k**2 + 70*k + 6. Let n(m) = -6*q(m) - 17*v(m). Find the third derivative of n(c) wrt c.\nAnswer: -1038","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -6. Let y = -1805 + 1800. Sort 4\/9, o, -6, y in ascending order.\nAnswer: -6, y, o, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3272.\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*p = -58 - 122 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122144535 (base 7) to base 6.\nAnswer: -432301303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/18 + 2\/9. Let m be (4 - 8)*4\/((-256)\/(-6)). What is the closest to a in 1, m, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*t + 8. Let r be -2*t*(-6)\/(-4). Put -26, r, 2 in descending order.\nAnswer: r, 2, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -10, 18, 5, 0.02, 1\/3, -1.7?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68638 + 68630 + 9*r**3 - 13*r**3.\nAnswer: -4*r**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + f**3)*(397*f - 192*f - 193*f + (-5*f + 2*f + 2*f)*(-4 - 3 + 3))*(-2 + 3 - 2).\nAnswer: -16*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.063, 7, 0, -15.5, 1\/4, -145?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -107*j**5\/20 - j**4\/4 + 37*j**3\/3 - 3*j**2 + 314*j - 2. Find the second derivative of p(g) wrt g.\nAnswer: -642*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 74 + -68. Solve 5*c - g*c + 3 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 55090*j**4*v + 14*j**4 + 63*j**2 - 129*v - 6 wrt j?\nAnswer: 1322160*j*v + 336*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s + s**2 + s - 27*s**3 - 2*s**2.\nAnswer: -27*s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5\/4 - (-148)\/32*430?\nAnswer: 2, 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 5*q - 40. Suppose 39 = s - 2*n, 113 = 3*s - q*n - n. Which is the smallest value? (a) -5 (b) 0 (c) s (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -516 + 520. Let q = 0.01 + 1.99. Let v = -3 + q. Which is the nearest to v? (a) -4 (b) -2\/9 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 55, 127, 237, 391?\nAnswer: 595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 6*i**2 + 3*i + 4. Determine k(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (15 + -11)\/(4\/(-6)). What is the common denominator of (3 - (-2)\/c)*-5 and -49\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3\/4, -4, -3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*c = 3493156 - 3495895 for c.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 1 + 9\/57. Let q be (203 - 219) + -4*71\/(-18). Sort q, i, -3, 5 in descending order.\nAnswer: 5, i, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(13) + -2)*-1 + -2.\nAnswer: -sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 21*w - 41. Let r be y(-19). What is the third biggest value in 0.06, r, 0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -14*m**2 - 1 + 2*m**3 - m**3 + 17*m**2 - 2 + 3*m. Determine b(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**6\/(a*a*a**(-9\/4)) assuming a is positive.\nAnswer: a**(25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000020699573 rounded to seven dps?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**4 - 1 + 1)*(4 - 10 - 3 + (1 - 1 + 1)*(-4 + 4 - 1)).\nAnswer: -10*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1583327 is divided by 2466.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kekqkeeqeqedqdk. Give prob of picking 2 k and 2 q.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/2)\/((-5)\/(-10)*-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of t**6*u**3 + 1657*t**3*u**3 - 3*t**2*u + t**2 - 850*u**3 wrt t?\nAnswer: 120*t**3*u**3 + 9942*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2022675?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -8*b**2. Let d(z) = 2*z**2 + 6862419*z + 1. What is d(v(p))?\nAnswer: 128*p**4 - 54899352*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704) + 1 - sqrt(704) - sqrt(704) - sqrt(704))*-5*-5)**2 - -1*(1 + sqrt(1584) + (sqrt(1584)*-2)**2).\nAnswer: -19988*sqrt(11) + 1766962","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.2 and -315.\nAnswer: 1323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.8, 3\/14, -2 in decreasing order.\nAnswer: 1.8, 3\/14, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -19*n**2 - n + 1. Let q be o(1). Let m = q + 10. What is the units digit of m*(-2 - (-4)\/3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of v**6\/24 + v**5\/15 - v**4\/8 + 3*v**3\/2 + 2*v**2 - 49. Suppose 0*y = 2*y - 8. Is t(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8488684?\nAnswer: 2, 59, 35969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 140059607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -114773 - 15*l + 114747 - 4*l**2 + 3*l**2. What is g(-12)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (105\/49 - 2)*(11 + -12)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (72\/(-126))\/(2\/(-14))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 530185.0487 - 530951. Let v = c + 766. What is v rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 99084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -7*q. Let m(i) = -4*i. Let k(p) = -5*m(p) + 3*w(p). Let o be k(5). Which is the biggest value? (a) 2 (b) o (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 15. Suppose 4*g + 2*z = -4, z - 5 = -g + q*z. Let f = 15 + -11. Put 3, f, g in descending order.\nAnswer: f, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18113 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 433540, 867078, 1300616, 1734154, 2167692, 2601230?\n\"Answer: 433538*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -8*c**3 - 2*c**2 - 2*c - 2. Let f(t) = -15*t**3 - 5*t**2 - 5*t - 5. Give 2*f(o) - 5*x(o).\nAnswer: 10*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 24660 - 4?\nAnswer: 24654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 1191187 (c) 0.21 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7328 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -33*i + 25*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 306952.\nAnswer: 2, 17, 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4929729, -4929723, -4929717?\nAnswer: -4929711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -15216 at least as big as -15207?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11.2 (b) -2 (c) 1.3 (d) 3 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 221276274?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -5*a + 23, -3*u = 4 + 8. Suppose -3*k + 8 = k. Calculate the remainder when a is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -143 + 28. Let b = t + 197. List the prime factors of b.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167766402.\nAnswer: 2, 3, 27961067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6887663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/35)\/(16\/56)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*v**4 + 6*v**2 - 12*v**3 + 5*v**4 + 10*v**3 + 2*v to the form q*v**2 + k + y*v**4 + b*v + c*v**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.56 + 0.76. Which is the third smallest value? (a) m (b) -1 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5 = 0, -2*j - j - 15 = -5*l. Suppose -u = -l*u + 1. Let t = 10 - u. List the prime factors of t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w + 12 + 65 = 0. What is the lowest common multiple of 3\/7 + w\/(-147)*-33 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**2. Let q(a) = 13*a - 4. Let v(y) = 27*y - 10. Suppose -4*z + 1 - 8 = -5*g, 2*z + 11 = 5*g. Let f(k) = z*v(k) - 5*q(k). What is f(x(i))?\nAnswer: -22*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30274.36 or -42\/11?\nAnswer: -30274.36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or -1.4?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39 and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 16 + 0 = 0. Solve 2*i + 2*b - 19 = -3*i, y*i + 3*b = 18 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of g**4\/12 + g**3\/6 - 11*g + 2. Let o(r) = 135*r**2 + 2*r + 89. Let i(u) = -2*d(u) + o(u). Differentiate i(z) wrt z.\nAnswer: 266*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 648672 by 464.\nAnswer: 1398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101 divided by -13143.\nAnswer: 101\/13143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139791596 is divided by 52?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -17*c + 30. Suppose 46 = -4*d - 2*y, 4*d = 2*y + 9 - 67. Is w(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -37*n - 25 - 12 + 18*n + 29*n wrt n?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1196 = 2*g + 532. What is the remainder when g is divided by 84?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jsrj when four letters picked without replacement from {j: 10, s: 5, r: 4}.\nAnswer: 25\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 531*b - 361*b + 5610 for b.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2. Let j(v) = 25*v + 2. Determine -j(q) + 5*r(q).\nAnswer: 5*q**2 - 25*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from {i: 11, o: 2, m: 6}?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2004852 divided by 94?\nAnswer: 1002426\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 3*t**2 + t + 8. Let m be d(3). Find the second derivative of -4*y - y - y - 7*y + m*y**3 wrt y.\nAnswer: 66*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -562*a*d**3*q**2 - 445816*a*d**3*q - d**3*q**2 + 8652*d*q**2 + 19*q**2 + 17 with respect to a.\nAnswer: -562*d**3*q**2 - 445816*d**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36.5 + 9.5. Let m = -43.1 + d. Let p = -3 + m. Round p to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -34*s - 172. Does 26 divide r(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -55*l**2 + 10*l - 5. Let m be k(10). Let d = 50405 + m. Round d to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -s**4\/24 + s**3\/2 + s**2. Let y(b) = -5*b + 16. Let x be y(4). Calculate the remainder when 13 is divided by d(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-307 - 0)*-5 + (-7)\/(-7). Calculate the highest common factor of 6 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 2*l**2 + 1 + 22*l**2 - 58*l**2 - 66*l**2 + 2*l**2 - 3*l**2 + 0*l**2 + (l + 0*l - 2*l)*(2*l + 0 + 0).\nAnswer: -107*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 968 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -322*k + 138*k + 152*k - 2*k**3 - 32 - 32*k**2. Let q be h(-15). Put -10, 5, q in increasing order.\nAnswer: -10, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 95 - 67 = -3*h, u + 221 = 4*h. Suppose -4*j + 11*j = h. Does 2 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (802863\/(-108495))\/((-1)\/5).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1229*h**4 - 32*h**5 - 1229*h**4)*(3 - 3 - 2)*(0 - 6 + 2).\nAnswer: -256*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -191 - -133. Suppose 0 = 12*c - 5*o - 43, -4*c + 11*o + 19 = 14*o. Put c, l, 3 in descending order.\nAnswer: c, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 0.4, 172, 0.2, 4, -0.85?\nAnswer: 172","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17734, 17585, 17344, 17017, 16610, 16129, 15580, 14969?\nAnswer: 14302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(3\/2)*i*i*i)**(-48)*i**(-10)\/(i**0*i))**(-49) assuming i is positive.\nAnswer: i**13475","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wrppwpccppwwppcpwppp. Give prob of sequence pp.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 (base 13) in base 10?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 + 126588299?\nAnswer: 126588306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1cb1 - 28?\nAnswer: 1c88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2188918 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/30*(-3)\/(27\/(-18)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6 * 8\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3676 rounded to two dps?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*z - 5819068*k = -5819067*k + 71, 5*z - 4*k - 71 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -2*b - 12, 3*b = b - 4*z - 18. Let d = b + 13. Let u(h) = 2*h - 6. Give u(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (228\/(-15))\/((-6)\/75). Suppose 5*p - v = 5. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -485717 (base 9) in base 15?\nAnswer: -5bbc7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 110 and 374.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c**5\/3 - 784*c**4 + 388292*c**3\/3 - 12181096*c**2\/3 + 7735568*c - 11411552\/3 = 0. Calculate c.\nAnswer: 1, 38, 274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1674762 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 101\/4 + (-15)\/60. Let l be (k*37)\/(-5 + 6). Suppose 2*i - 33 = l. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2054?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*l + 16 - 16)*(3*l + 0*l - 5*l) + (-4*l + 3*l + 3*l)*(-30*l - 61*l + 409*l) to the form p*l**2 + a + s*l and give p.\nAnswer: 624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -0.3, 38, 0.1, 0.47 in decreasing order.\nAnswer: 38, 0.47, 0.3, 0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + 36\/(-15) + (-17660)\/100. Let z = s + 179. Solve -5*d + z = 13 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 4*f + 24. Let s be o(-16). Let u = s + -106. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 57?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6717 + 205?\nAnswer: 6920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (32 + -12 + (7 - (-3 - -8))).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120691 is divided by 5718?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34923, 139789, 314565, 559251, 873847?\nAnswer: 1258353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of 0 - 2*f + 5*f**2 + 16\/3*f**3. Differentiate n(d) with respect to d.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 16722, 16736, 16754, 16776, 16802?\n\"Answer: 2*c**2 + 8*c + 16712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 35*u**2 + 44*u - 256. Determine g(36).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2037 - 1950 + 3981 + 1374*y in the form q + f*y and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34154735.0000008 + 34154748. Let p = -13 + c. What is p rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6601248 divided by 91684.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 35*p - 39*p. Let n(f) = -3*f**3 - 11*f**3 - 4*f + 5*f. Calculate n(p).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 180, 337, 494, 651, 808?\n\"Answer: 157*a + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 87928811 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 348, 348, 350, 354, 360, 368?\nAnswer: 378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*a**3 - 7*a**4 - a**2 + 3*a**2 + 0*a**3 + 25*a**4.\nAnswer: 2*a**2*(3*a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2662408653?\nAnswer: 3, 887469551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-3))\/((-728)\/273).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2 + (sqrt(6)\/(sqrt(14)\/(sqrt(7)*-1)) + 3 - (sqrt(6) + (sqrt(6) + sqrt(96))*5)\/(sqrt(2) + sqrt(4)\/sqrt(2)*4))))**2.\nAnswer: -62*sqrt(3) + 3508\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -914963 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 20, 0, -2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 w when four letters picked without replacement from arcwccn?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -369*v - 24. Let c(j) = 46*j + 3. Let q(p) = 33*c(p) + 4*k(p). Calculate the remainder when q(2) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0234*349\nAnswer: 8.1666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1140 (b) 0.5 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -22 equal to 0.0056202?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of z**4 - 2016508*z**2 - 19452420*z?\nAnswer: 12*z**2 - 4033016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 6*q - 5. Suppose 5*b - 5*g - 35 = 0, -3*b + 19 = 5*g - 2. Is o(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35515?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**3 - 39*h**2 + 3637*h - 23205 = 0. Calculate h.\nAnswer: -85, 7, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -44, -43, -30, 1, 56, 141, 262?\n\"Answer: n**3 - 6*n - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*q - 71 + 33 = 202. What is the nearest to 3 in -0.21, -3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120 (base 9) to base 8.\nAnswer: -143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f**2 - f**2 + 2*f**2)*(-3*f**2 + 3*f - 3*f) + (-2 + 2*f + 2)*(-48 - 15*f**3 + 48) to the form k*f**2 + u*f**3 + c + q*f**4 + i*f and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-96)\/5)\/((-2)\/40). Let r = 731 - z. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*o + 49 + 20. Solve 0 = -3*z - 4*f + 18, 3*z - o*f + 9 = 2*f for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 13 + 47. Suppose -f*w + 2160 = -10*w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - (-6 + 2\/1). Let p(w) = -w - 5*w**2 + 4*w - 3*w + w**3 + 2*w. What are the prime factors of p(t)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/9 + 9305690*f\/3.\nAnswer: -2*f*(f - 13958535)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sf when two letters picked without replacement from ggfgggsggggfgggxggx.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 938043867.\nAnswer: 3, 17, 79, 232823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + 4 + 1 - 2*p - 4*p. Suppose 42 = 5*g + 4*q, -5*q - 45 = -5*g - 10*q. Determine d(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -6*y**2 + 371523434*y - 123841144 = 0.\nAnswer: 1\/3, 61920572","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + -15. What is the biggest value in c, 3, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1533581 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -6*n + 22. Suppose -4*y = 15 + 29. Let k(o) = -2*o + 8. Let w(p) = y*k(p) + 4*u(p). Let c(q) = 2*q. Calculate w(c(h)).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (20 - (25 + 3)) + -1 + 10\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**2*p)**(3\/4))**(-25) assuming p is positive.\nAnswer: p**(-225\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -20*x**3 + 3*x**2 - 20*x - 52. Is q(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10\/(-4))\/(1\/(-4) - 0). Solve 2*j - s + 0 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (19 + -8 - -82) + 11 + -4 + 4?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 217524 or 217526?\nAnswer: 217526","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5*q = 39, 0*l + 4*l = -4*q + 12. Suppose 2*g = l, 0*i + 57 = 5*i + 4*g. Suppose 0 = -6*a + 9*a - i. Solve 8 = a*c - 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -102 in increasing order.\nAnswer: -102, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of 3*u**8\/7 + u**4\/2 - 20*u. What is the third derivative of q(i) wrt i?\nAnswer: 2880*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of 859*l**4\/4 - l**3\/3 + 9577*l - 8279. Differentiate y(p) with respect to p.\nAnswer: 2577*p**2 - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 282879390 + 5?\nAnswer: 282879395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 124 = 7*t, -t + 2862*y - 14 = 2864*y for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1296394634?\nAnswer: 2, 648197317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of -11*n**5\/20 + n**3\/3 - n**2\/2 + 505*n + 1. Let x be (-2)\/(-8) - 26\/8. Let b be 3\/x + (-4)\/(-2). Calculate o(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -bc + -3744cd?\nAnswer: -37459a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 1. Let m(o) = -30*o**2 - 2. Calculate -2*j(z) - m(z).\nAnswer: 32*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, t: 1, l: 4}. What is prob of sequence qq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 21864?\nAnswer: 21865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (128\/(-48))\/(3*(-2)\/9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n + 0*n - n)*(-n + 3 - 3) + n**2 + 2*n**2 - 5*n**2 + 3*n**2 - 6*n**2 + 4*n**2 + (-2*n + 2*n + n)*(2 + 2*n - 2) - 111*n - 10*n**2 + 9*n**2 - 152*n.\nAnswer: -2*n**2 - 263*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -65*z**2 + 19 - 1 - 9*z + 63*z**2 - 20*z. Let o be t(-15). Solve n = o*n + 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 3*a - 99, -18*a = -22*a + 2*d + 132. Let l = -2 - -5. Let q(m) = m**3 - m**2 - 1. Calculate the remainder when a is divided by q(l).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, p: 3}. Give prob of sequence pkkk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 1 + 9 - 9*w - 10609*w**2 - 2*w + 21216*w**2 + 2*w**3 - 10609*w**2. Give t(4).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -455 - -321. Let d = -131 - k. Suppose -4*u = -z - 586, 2*u = -d*u + z + 733. Calculate the remainder when u is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, 3\/8, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -8*x. What is n(4)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 10*w + 18. Let n be m(-3). Let i be 2\/(-21)*n + 52\/14. Suppose -7 = 3*x + i*u - 459, -4*u = 2*x - 300. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 596, 444, 148, -340, -1068?\nAnswer: -2084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -0.065, 5, -2\/183 in increasing order.\nAnswer: -0.065, -2\/183, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 0.1 (c) 0.2 (d) -10.8 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 48 - 7*c**2 - 2728*c**3 + 2*c + 5461*c**3 - 2735*c**3 in the form t*c**3 + s*c + z + g*c**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1025 (base 11) to base 4\nAnswer: 111032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/1446 and -83\/22?\nAnswer: 15906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4*i - 105589 = 0, m - 88358 = -i + 17216. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + 4*b + 7. What is p(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -202809852.83000226 - -202810071.83. Let c = -219 + a. Round c to seven dps.\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 4, -917 in decreasing order.\nAnswer: 4, 2, 0, -917","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16\/6 + -2 + -1. Let y = 0.02 + -0.06. Let m = -0.04 - y. Which is the nearest to m? (a) -0.4 (b) 1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.611636t?\nAnswer: 611636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t - 77 + 77 + 4*t. What is n(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**2 + 28*l - 54. Give x(-18).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -6. Suppose -1416 = 13*y - 1442. What is the closest to y in s, 0.4, -2\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19076 - 19074 + 0*k**3 - 6*k**3 - 5*k - 2*k**4 + (-k - 2*k**3 + k)*(0*k + 2*k - k) + 0*k**4 - k**4 - k**4.\nAnswer: -6*k**4 - 6*k**3 - 5*k + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 2*l + 3*i, -16*l + i = -97 + 60 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*a - 189 = -113 + 287 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 249 divided by 1726.\nAnswer: 249\/1726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1268592 and 142500?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzyzzzzzyzz. Give prob of sequence zzzz.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54 and 9860634.\nAnswer: 29581902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1b2 + -8845?\nAnswer: -8663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3545 + 9511 = 0. What are the prime factors of b?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8\/3 of a day?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 3:38 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7968, 3 in descending order.\nAnswer: 5, 3, -7968","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 534 a factor of 12858186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 1. Let f(r) be the second derivative of -1\/6*r**3 + 9*r + 0 - 3\/2*r**2. Determine 3*c(v) + f(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, q: 1, s: 2, y: 2, g: 1}. Give prob of sequence ccq.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 8:16 AM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1674310?\nAnswer: 2, 5, 11, 31, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 194 a factor of 10864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -q - 1, -4*q - p = -0 + 29. Let z be -2 + q\/(-3) + -91. Let j = z - -133. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -243*w**2 - 378*w + 54. Let r(u) = -22*u**2 - 35*u + 5. Let y(s) = 5*m(s) - 54*r(s). Let v(j) = -2*j**2 - 6*j. What is v(y(q))?\nAnswer: -1458*q**4 + 162*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 (base 13) in base 12?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 13*n**2 + 5*n + 3. Let s be c(-8). Suppose 5*t = s + 282. Does 11 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/135 + 92\/135. Which is the nearest to h? (a) 1 (b) -1\/3 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + m = 138, -5*a - 4*m - 5 = -152. Let v be 126\/a + 2\/6. Suppose 10 = v*n - 5. What is the remainder when n is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u + 5, 136 = o + 5*u + 158 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q + 3*q + 0*q + (1 - 2 - 32 - 6 + 5 + 3 + 1 - 2 + 0 + (0 - 4 + 5)*(0 + 2 + 0))*(-4*q + 4*q - 1 - 2*q).\nAnswer: 62*q + 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 15*n - 4. What are the prime factors of v(3)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (2 + -4 + 6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 0*w = 0. Suppose w = -4*v - 3*d + 4*d + 11, -2*d + 2 = -2*v. Let g be (-1)\/v + 117\/36. Solve 15 + 0 = -g*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 4172039, 2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 0) + (5 - 29) + 18 + 17 + -13?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 5*a**5\/8 - 7467*a**4\/8 - 4861*a**3\/2 - 1497*a**2\/2 + 748*a = 0.\nAnswer: -2, -1, 0, 2\/5, 1496","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12422\/13523 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/304 and -83\/190.\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + 41a6?\nAnswer: 41ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*p - 18. Solve -p*s + 10 = -s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 8*p**2 + p - 5. Let c(f) = f**2 + 6*f + 8. Let n be c(-6). Let d be g(n). Solve -d*b + 4*b - 5 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64 divided by -16\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.9 + 0.6. Let l = -0.09 + -0.41. Let a = r - l. Is a > -0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (5 - (10 + 6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(152)\/sqrt(8) - sqrt(19)) + sqrt(19) + -1 + 2)**2.\nAnswer: -6*sqrt(19) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-5 + sqrt(242) + 2*(0 + sqrt(242)) + 3*(sqrt(242) + 2) + 4))**2.\nAnswer: 5940*sqrt(2) + 78633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/11 in -654, 0.5, -0.1, -0.02?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 7*m - 6. Let y be c(-8). Solve a + 5*u = 25, -4*u + 26 = y*a - 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7912.8 rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3719 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -36*l + 32*l + 3, -4*l - 7*o = 21 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 692616898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -41b460?\nAnswer: 41b463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 102701797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -88 and -0.03.\nAnswer: 2.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 100\/3, 7, 5, -0.3 in descending order.\nAnswer: 100\/3, 7, 5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 1567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = k + 16, k + 1 = -0*k + n. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -259734c - 0?\nAnswer: -259734c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252 is divided by 109.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 414\/(-4002) + (-2445)\/(-87)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10550?\nAnswer: 2, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pkk when three letters picked without replacement from {p: 5, k: 3}?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0009183 to 5 dps.\nAnswer: 0.00092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07 + 0.10763.\nAnswer: 0.17763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.0436*-242544\nAnswer: 10574.9184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 7*q**3 - 2*q**2 + 18*q - 305. Is h(26) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -3420883\nAnswer: -3420880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 0.6. Let t = 17.5 - 17. Which is the smallest value? (a) t (b) k (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-782)\/(-510)*24\/8*5\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 10\/339607?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 - 20*h - 41. Let q be z(-12). Calculate the highest common divisor of 20 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 21 = 3*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 30 = -7*c - 51, -26 = 4*u + 2*c for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-2)\/9*23\/((-69)\/108) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(110) + -1*sqrt(110)))\/(sqrt(320)\/sqrt(2)) + -4)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -309*h**5\/20 + 283*h**3\/6 - h**2 + h + 5. What is the second derivative of v(b) wrt b?\nAnswer: -1854*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 9817, 19634, 29451, 39268?\n\"Answer: 9817*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - -1. Let t(m) = -m**3 + 5*m**2. Let u be t(5). Suppose 19 + 6 = 5*v - 5*y, -2*v - y + a = u. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -23*y - 15. Let m be b(5). Let h = -919\/7 - m. Is h <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - m - 2. Let b(d) = 7*d**2 - 12*d - 9. What is b(a) - 6*r(a)?\nAnswer: a**2 - 6*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(448\/24))\/((-2397)\/752)\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 117*n**2 + 151*n**2 + 288*n**2 + (12 - 7*n - 12)*(2*n + 2*n - 2*n) + (2*n - n + 2*n)*(6*n - 2*n - 2*n) as x*n + m*n**2 + g and give m.\nAnswer: 548","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 65, 0, -2 in ascending order.\nAnswer: -2, 0, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 0. Suppose r = -n + 5. Suppose r = 2*o - 4. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-67)\/2 + 4\/8. Let v = g + 68. Let n = v + -2. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4546*b + 231*b + 1 - 5210*b - 3749*b.\nAnswer: -13274*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3585 divided by -1444.\nAnswer: -3585\/1444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 + -39 - (-1 + 0 + 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 757779 to the power of 1\/2, to the nearest integer?\nAnswer: 871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 at most as big as 663?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b + 6 - 5 + 17 + 2*b - 6*b + 2*b + 0*b - 4*b + 2*b + (3*b - 3*b + 2*b)*(1 + 1 - 3) + 2*b + b - 5*b.\nAnswer: -9*b + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*u**2 - 830172*u - 4303540 wrt u.\nAnswer: 4*u - 830172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30295 by 5.\nAnswer: 6059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 208 and 18.\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(2880)*-4 + (sqrt(5) - (2 + (sqrt(10)\/sqrt(2))**2) - sqrt(5))*5).\nAnswer: -192*sqrt(5) - 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, -4\/7, 3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 25 = 4*m - 5*j, -3*j + 9 = 0. Let t be 4 - 262*m\/4. Suppose 0*k = 5*k - t. Is k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -15, -39651 in decreasing order.\nAnswer: -6, -15, -39651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w*w**0)*w)\/w**(-6)*((w\/((w*(w\/(w*(w*(w*w**1)\/w)\/w))\/w)\/w))\/w)\/((w*w\/w**6)\/w))\/(w**(1\/3)\/((w**(-3\/7)*w)\/w))**(-13) assuming w is positive.\nAnswer: w**(523\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2249\/(-18) + 12936\/(-8316))\/((-11)\/4)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 497900876 from -0.2.\nAnswer: -497900876.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1*55717 + (-25848)\/(-1077)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*g = 0. Let m(d) be the third derivative of 0*d**4 + 0*d - d**2 + g - 1\/3*d**3 - 1\/60*d**5. What is the first derivative of m(f) wrt f?\nAnswer: -2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -11134?\nAnswer: 11137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - c**2 - 2*c**3 - 2*c**2 - 9*c - 9*c**2 + 25. Let r be i(-11). Factor -3*k**2 + 3*k**4 - 3*k + 8*k**r + k**3 - 6*k**3.\nAnswer: 3*k*(k - 1)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 654958635 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 8701?\nAnswer: 8705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 78?\nAnswer: 23.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 131365*d**3 - 83*d - 131365*d**3 - 819*d**4 + 10*d**2 wrt d.\nAnswer: -19656*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 1860*r. Let s(i) = -3*i**2. Calculate l(s(x)).\nAnswer: -5580*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a milligram in micrograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2856*y**2 + 378*y**2 + 497*y**2 + 491*y**2 + 496*y**2 + 499*y**2 + 498*y**2.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8603 at most -34\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15677.96 - -15689. Round z to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-35)\/(-10))\/(12 - 1235\/104).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*c**3 + 1 - 2 + 99*c**3 - 65*c**3 + 1.\nAnswer: 138*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, n: 3, o: 4}. What is prob of picking 1 n and 2 l?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -272*z - 66 = -273*z - u, 5*z - 280 = 5*u. Solve 0 = m - z + 57 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/((-780)\/(-315))*2.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 18 = 96. Suppose -3*y - 2*k = -k - 13, 5*k = 2*y + 31. Calculate the highest common divisor of y and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 239428 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of q**4\/3 + q**3\/3 + q**2\/2 - 2*q. Let h be z(-1). Suppose -2*n + 10 = 4. Is h != n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 591514?\nAnswer: 2, 7, 11, 23, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44328 + 58*z - 44328.\nAnswer: 58*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/20)\/(-1) - 2\/5. Suppose 0 = -y - b + 12 + 7, c = -5*y + 2*b + 88. Suppose -y*q + 19*q - 87 = 0. List the prime factors of q.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 8*y**2 + 2*y + 5. Suppose 0 = i - 5*x + 5 - 16, 13 = -4*i + x. What is the hundreds digit of f(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*s**2 + 6*s**2 + 7*s**2 - 259*s**3.\nAnswer: -259*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2409*l**2 - l - 3*l + 2255*l**2 + 4*l. Let c(o) = 9*o**2. Calculate c(a(i)).\nAnswer: 213444*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 746.\nAnswer: 5968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*d + 104 = -166 - 40. Suppose 0 = -j + 5*j + 8. Let q be (1\/(-2))\/(j\/100). Calculate the highest common factor of q and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.2 and 0.109.\nAnswer: 0.1308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b**3 - 9*b**2 + 22*b + 9. Calculate w(4).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 10:02 AM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 371171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v**2 - 7*v - 7. Let b be n(-6). Let c = 1264 - 1220. Let s = b - c. Does 9 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1688150, 1688147, 1688154, 1688171, 1688198, 1688235?\nAnswer: 1688282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) 4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1e (base 16) in base 14?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 69\/24*2 + (-18)\/(-72). Suppose 0 = -4*u + 369 + 339. Suppose g*h + u = 933. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -699?\nAnswer: -699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 8. Let j(s) = 3*s**2 - 44*s - 4. Let f be 285\/20 - (1 + 28\/(-16)). Calculate the least common multiple of n and j(f).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57 and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 54271596622 + -1088.\nAnswer: 54271595534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 4. Let g = -21202479 + 21202482.9999986. Let f = g + q. What is f rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*g**2 + 2*g - 15*g**2 - 20*g**2 + 4*g**3 + 62*g**2 - 17*g**2 to b*g + x*g**2 + o + s*g**3 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2051957037 to the nearest integer?\nAnswer: 1271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from {h: 10, b: 4}?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*x + 7*x = 601, 5*x = -5*m + 3035. Let h = 608 - m. What is the nearest to h in 3\/5, -1\/11, 0, 1?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that z**3 + 310848*z**2 - 18032607*z - 18343454 = 0.\nAnswer: -310906, -1, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 0*p = 242. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of q**5\/20 + q**4\/4 + 2*q**3\/3 + 126*q**2 + 112*q. Does 18 divide w(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-60)\/(-18)*46908\/12. Suppose -h = -b + 8*r - 7*r, -3*r + 9 = 0. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 15*z + 201. Let d be x(-16). Suppose 3*n = -5 + 122. Let y be (-162)\/n + (-6)\/d. Let i(b) = -2*b - 3. Calculate i(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (7 + -10)*-2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.8 + 3.7. Let j = o - 1.9. Let f = 0.62 + j. Round f to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5561 - 5504. Calculate the remainder when 119 is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -110*h + 146*h - 198648. Is 97 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20496094851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -255 + 259. Let v be 181 - -4 - 0\/j. What is the highest common factor of 74 and v?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 112 + -36. Let y = t - 73. Sort y, 0.4, 0.1, 1\/4.\nAnswer: 0.1, 1\/4, 0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/3 - 962*r\/3 + 1916\/3.\nAnswer: 2*(r - 479)*(r - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 675, 4.\nAnswer: -1, 4, 675","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 603274.6 millennia in decades?\nAnswer: 60327460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -669 - -672. Let w = 52 - 48. Suppose 4*j = -w*j. Solve u*k + 0 + 3 = j for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1556 - (-5 + 7)) + 1. Let k = 24935\/16 + z. Calculate the common denominator of 49\/36 and k.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 196401957?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 4*i**2 + 13*i + 6. Does 25 divide c(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -6*d**2 - 20*d**2 + 41*d**2 - 204*d - 138*d - 13*d**2 = 0.\nAnswer: 0, 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2468 is divided by 472?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2. Let n(p) = -47*p - 43*p + 4 - 45*p + 136*p. What is h(n(t))?\nAnswer: t**2 + 8*t + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 691984.6 litres?\nAnswer: 691984600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 - 13*u - 11. Let r be d(14). What is the common denominator of 56\/33 and r\/(-18)*(420\/16 - 1)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 + 3 - 3)*(-8*k**3 + 25*k**2 - 25*k**2) + (-4 + 7 - 4)*(0*k**5 + 0*k**5 + 2*k**5) + k**5 + 0 + 0.\nAnswer: -9*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-237*n + 418*n - 465*n)*(0 + 0 + 1)*(-1 + 1 + 2).\nAnswer: -568*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -116800 to the nearest 1000.\nAnswer: -117000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -137 - -b5?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1758461743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s = -17*s + 115. Is s a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -13*y**3 + 3*y**2 + 7*y - 9. Let b(x) = -4 - 2*x**3 + 4*x - 1 + 2*x**2 - 3*x**3 - 2*x**3. Let l(r) = -11*b(r) + 6*p(r). Is 3 a factor of l(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**6)\/k)**(-29)*(k**(-7)*k)\/k**(1\/12) assuming k is positive.\nAnswer: k**(-2161\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/4*27\/(-81)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**3 - q**3 + 4*q**3)*(-3*q + 2*q - q + (-2 - 2 + 3)*(3 + 2*q - 3)).\nAnswer: -24*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206526446?\nAnswer: 2, 7, 14751889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.553 + -0.493. Which is smaller: -4\/11 or k?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = n + n - 102, 3*s - 106 = -2*n. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -146 + 213. Calculate the remainder when l is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 777 divide 33647985?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 96, -0.4, -0.3, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 88, -2\/7, -1\/6, -3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**4\/9 - 10*h**3\/9 + 2*h**2\/9 + 10*h\/9 = 0. Calculate h.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-27)\/(-21) - -3 - 8\/28. Calculate the highest common divisor of 48 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 + -78)*((-923516)\/(-33) + -12). What is z rounded to the nearest 100000?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_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: Is 22838811497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20880 is divided by 2981?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -63 + 160. Suppose c = -s + 100. Suppose -3*x = 12, c*x - x = 5*z - 203. Calculate the remainder when 151 is divided by z.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/17 in -1.3, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -1 - 8*s**2 - 2*s - 2*s**2 + 0*s**2 + s**3 + 3*s. Let g(c) = c**2 + 1. Let y(j) = -4*g(j) - i(j). Is y(3) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38\/19836*-10950 - -21.\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -295\/14 - -21. What is the third biggest value in 3\/5, 1\/11, 4, j?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 54*n**4 - n**2 + 166*n?\nAnswer: 648*n**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9913*g - 9198*g + 16445 for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2334*v = 10522*v + 491280 for v.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.24 and -0.079.\nAnswer: 1.161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-0.01329.\nAnswer: 0.05316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 22 - -2795040?\nAnswer: 2795062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 392 and 5054?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 452, 461, 470?\nAnswer: 479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 + 655 = 16*m - 23. Put m, 0, -7 in ascending order.\nAnswer: -7, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1838*k + 2420 + 24416 = -15438 for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 114 - 56 - (4 - (2 + -15)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 3*p**2 + 3*p - 2. Let g be n(2). Suppose g = -i - 0*i + 1. What is the smallest common multiple of i and (-2)\/(-3)*(-7 + 19)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 26344 and 26347 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -71, -5, 7, 0.18, 3, -13 in descending order.\nAnswer: 7, 3, 0.18, -5, -13, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -259 - -20 - -141 - (-4 - -32 - 2).\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -367595 times 0.35\nAnswer: -128658.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 407800 is divided by 1888?\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*r - 4 + 4)*(3 - 1 - 1) + 8 + 6*r - 8)*(-5*r + 3*r + 3*r - 3).\nAnswer: 2*r**2 - 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(45) + -4 - sqrt(5)))**2 + 4*(((sqrt(125))**2 - sqrt(5) - sqrt(5)) + 5).\nAnswer: -24*sqrt(5) + 556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 132697, 265384, 398069, 530752, 663433, 796112?\n\"Answer: -y**2 + 132690*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2535 divided by -5\nAnswer: -507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6176, -6249, -6366, -6527, -6732, -6981?\n\"Answer: -22*f**2 - 7*f - 6147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/24)\/(3\/(-6)). Let t = 138\/13 - 1190\/117. Let x = -1.9 - 1.1. What is the second smallest value in t, h, x?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 3, 38, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 546?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**4 + 23*q - 34*q - 2*q**3 - 7 + 12*q + 0*q**3 to the form d*q**3 + p*q**2 + a*q + c*q**4 + u and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9870*o**4 + 15*o**2 - 302.\nAnswer: 236880*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3506622 and 0.\nAnswer: -0.3506622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 3 (b) 1048\/3 (c) 2\/7 (d) 2 (e) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 389, 390, 391, 392, 393?\nAnswer: 394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.88 - 5.88. Put 9.5, 1\/3, f in descending order.\nAnswer: 9.5, 1\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 595 is divided by 95?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 269, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0118783 plus -11146?\nAnswer: -11144.9881217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1440 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 5:52 AM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 12) to base 6\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u. Suppose 0 = -181*n + 56*n + 625. Suppose -3*b + 0 = -5*y - 12, 0 = 5*b - 4*y - 33. Suppose -b*z = -n*z. Determine m(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 7*d - 3*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 915 - 7?\nAnswer: 909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a + 7. Suppose k + 5*q - 5 = -3, -3*k - 3*q - 18 = 0. Let o be (-9 - 1)*(-4)\/k. What is s(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1260) - 4*-3*sqrt(1260))*3)\/((sqrt(4900)*2)\/(sqrt(1050)\/sqrt(6))).\nAnswer: 117*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.1 (b) -2 (c) 0.069668 (d) 36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -5, 0, -2\/545, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2217 and 16997?\nAnswer: 50991","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -85036411, -340145631, -765327663, -1360582507, -2125910163, -3061310631?\n\"Answer: -85036406*i**2 - 2*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m**4 + 28799*m**3 + 1472*m**2 + 142127*m + 340 wrt m.\nAnswer: 12*m**2 + 172794*m + 2944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s + 1. Let o be v(6). Suppose -16 + o = 3*x. Sort -5, x, -2 in descending order.\nAnswer: -2, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + s + 69 + 43 = -18*o + 195 + 247, 0 = -o + 18 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 82*b. Let f(h) = -7*h. Determine f(x(r)).\nAnswer: -574*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -2*g + 4. Let y = 13 - 11. Let r = -2 + y. Solve r*o = -4*o + g for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 3, f: 5, z: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 1, 10.7, -4, -0.94, 0.4 in ascending order.\nAnswer: -6, -4, -0.94, 0.4, 1, 10.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1081400?\nAnswer: 2, 5, 5407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 73 - 52. Suppose 2*x - x - f = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22781 at most as big as -22785?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**3*u**2 - 444*d**3*u - 8*d**2*u**2 + 379*d*u**2 + 2*d*u wrt d?\nAnswer: -6*u**2 - 2664*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, 10, 61, 168, 349, 622?\nAnswer: 1005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 8 + 0*a**2 - a**2 - 8 as w + y*a + j*a**2 and give w.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2933 minus -318?\nAnswer: 3251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**15\/(b*b**10))**(-6\/29)*(b**(3\/8)*b*b\/b**(-13))**(29\/3) assuming b is positive.\nAnswer: b**(34289\/232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - s + 1. Let m(v) = -v**3 + 4*v**2 - 2*v + 3. Let h = -4 + 6. Suppose -1 = -w + h*w. What is w*m(x) + 2*o(x)?\nAnswer: x**3 - 2*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/11*q**3 + 4\/11*q**2 + 0 + 0*q + 2\/11*q**5 + 0*q**4.\nAnswer: 2*q**2*(q - 1)**2*(q + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6847, -13560, -20421, -27424, -34563, -41832?\nAnswer: -49225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (132*d - 61*d - 46*d)*(2*d - 3*d + 0*d) to q*d + o*d**2 + y and give o.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 - -509?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 4?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39 - 28. Suppose 0 = l*q - 8*q - 474. List the prime factors of q.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 299951209.\nAnswer: 181, 1657189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -68, -69, -70, -71, -72, -73?\n\"Answer: -f - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x - 1. Let n be c(2). Let z(p) = 13*p**2 - 2*p - 4. Is z(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5047 * -11939.5\nAnswer: -60258656.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92 = 501*x - 503*x + 9*p, 5*x - 4*p + 5*p + 230 = 0 for x.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g = -615409 + 173257. What is the hundreds digit of (-6)\/33 + g\/(-132)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*f**3 + 116*f**3 - 28*f**3)*(0*f - 3*f + 4*f) - 10*f**3 - 19*f**4 + 10*f**3.\nAnswer: 81*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13395114?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -2.1\nAnswer: -4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 67*g**2 - 267*g - 8898. Calculate b(-69).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2308678 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 3. Suppose v - 64 = -3*v - 3*u, -3*u - 32 = -2*v. What is the remainder when w(10) is divided by (-8)\/v + 108\/8?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 8. Let y = f - 7. Solve -2 - 8 = -5*h, 3*b + 2*h + 5 = y for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q*q\/(q*q**9)))\/q*q**2*q*q*q**9\/(q\/(q**10\/q)*q) assuming q is positive.\nAnswer: q**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 31718 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 117.76698ms to days.\nAnswer: 0.00000136304375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 14231?\nAnswer: 14235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, z: 1, i: 1, m: 1, g: 1, e: 2}. What is prob of picking 1 m and 1 g?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 26*i + 36. What is the hundreds digit of q(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14693760 is divided by 1836716?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -7*m + 6. Is q(-3) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j**3 + 48*j**2 + 41*j - 97. Is i(22) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32 - (-24)\/(-4))\/(-29 - -27)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of -5 + (-70)\/(-15) - 110\/(-6) and 21.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 7*i**2 - 6*i + 3. Let k(l) = l. Let p be k(6). Let y be s(p). Suppose -5*v = 4*c - 927, -2*c + y*v - 56 + 525 = 0. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -3*q - 4*y, -3*y - 85 = -5*q - 8*y. Suppose 5*f + 11 = -4. Let v be -3 - f - (-2 - 3). Solve -v*x + 3*n = 29, 2*n - 31 = 3*x - q for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 166 = -30*c - 2861 for c.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 139150?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 641606971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 81031 - 18231929\/225. Find the common denominator of (-3910)\/918*3 + 16 and u.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, j: 4, u: 3, z: 1}. What is prob of picking 1 j and 1 y?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16416083\/837 + -19613. Let a = f - -257\/9207. Which is bigger: -1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - y. Suppose -4*v - 19 = -3*d, 7*v + 24 = 3*v + 4*d. Let h be v + 6 + -4 + 1. Suppose -5*a + h*u = -10, 4*u + 20 = -4*a + 2*a. What is r(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 3 - (27 + -23)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 53 + 4171\/301 - (-5)\/35\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/2)\/((-11)\/66). What is the nearest to u in -4, 2\/5, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 1036 = 5*f. Suppose 5*h + 285 = -4*z, -3*h + 7*h + f = 3*z. Is -1 + -2 - h\/1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10136 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9 (b) 2\/1493 (c) 1\/4 (d) -7 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o. Let u(k) = -5 + 5 + 0 - 3*k. Determine u(s(w)).\nAnswer: -9*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - (-8)\/6)\/(-1). Suppose 0 = -3*z - 0*z - 6. Let o be 4\/6 + z\/2. Is n at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/1*(-10)\/(-20)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 2571.24365 to zero dps.\nAnswer: 2571","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -15, -37, -81, -159, -283, -465?\n\"Answer: -2*w**3 + w**2 - 11*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7b (base 12) in base 10?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29625 - 17844. What are the prime factors of r?\nAnswer: 3, 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 - 23 - 13*u - 12.\nAnswer: -13*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -72. Let w = f - 59. What is the lowest common multiple of 24 and w*(2\/1 - (-76)\/(-8))?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 t when four letters picked without replacement from {t: 5, j: 3}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1200?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by (6*4\/(-15))\/((-16)\/200)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 9*p + 1. Let r(w) = -46*w - 8. Determine v(r(f)).\nAnswer: -414*f - 71","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23452.361 - 23311.3. Let o = 481 - 340. Let l = b - o. Round l to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, u: 1, v: 4, w: 3, c: 2, m: 4}. What is prob of sequence vw?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -33076, -33079, -33082, -33085?\n\"Answer: -3*r - 33073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.04 (b) -42 (c) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21635 = -5*q + 5*m, -4*m + 7368 = 4*q - 9972. What are the prime factors of q?\nAnswer: 61, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 3\/8, 0.03 in decreasing order.\nAnswer: 3\/8, 0.03, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.059 times -0.2\nAnswer: -0.0118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - -5 - 2) + -779 + 860?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x - 10. Let z be o(-5). Suppose 0*g - z*g = 0. Suppose 5*a - 2*q = -5 + 18, -11 = -2*a - 5*q. Put g, a, 4 in descending order.\nAnswer: 4, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-15))\/((-8)\/20)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 126473\/44380 + 1\/4438. Let q = 243539\/18 + -13522. What is the common denominator of q and m?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**3\/5 + 1419*j**2\/5 + 2592*j + 26028\/5.\nAnswer: -3*(j - 482)*(j + 3)*(j + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1512015 divided by -5?\nAnswer: -302403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, 0.3, -2, -2\/9.\nAnswer: -2, -2\/9, 0.3, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -4. Let y be v\/2*(0 - -3). Suppose y*a - 3 - 3 = 0. Solve 7*p + 8 = a*p + 3*r, 4*r + 12 = p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 0*b + 0 + b + 2*b**2 - 1 + 2. Determine x(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 5124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 129402577009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in -3\/7, -3, 1\/13, -0.2?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a gram in milligrams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 450 is divided by 57?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -7*b**3 - 260*b**2 - 41*b - 58. Give l(-37).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*d - 3*d. Let s = -244.9 + 257. Let t = 12 - s. Which is the closest to t? (a) -2\/19 (b) d (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 306479?\nAnswer: 306479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (129 - 39*x - 129)*(-3*x + 3 - 3) + ((x + 0*x + x)*(-1 - 3 + 2) + x + x - x)*(4*x - x + 4*x).\nAnswer: 96*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 2*z = 15, z + 1 = 4*x + 2*z for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 48, 98, 148, 198?\n\"Answer: 50*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnqq when four letters picked without replacement from {q: 3, n: 11}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2553721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -614*p + 646 = 32*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10205865 + 83015*k**3 - 10205865.\nAnswer: 83015*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 75604.77 kilograms?\nAnswer: 75604770000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5*g = -163 + 50, 2*q - 49 = g. Suppose 3*k - q - 38 = 0. Solve 14*i - 10*i - k = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1037 + 103155?\nAnswer: 102116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 2022.\nAnswer: 4044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 89b2c1 (base 13) to base 7\nAnswer: 36433132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 478*f**2 - 1511*f + 216. What is y(3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 10 = 5*q - 0*g, 0 = 5*q + g - 10. Let j = -11 - -12. Let x be j*((-6)\/(-2) + 1). Solve -3*w - x = q for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -8*w + 44. Let q be x(5). Suppose 5*b + 3 = 3*d + 13, -q*d = -3*b - 5. Let i = -5 - -7. Solve 0*l + i*l + 3*y = 13, -d*l + 4*y = -21 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 - 3*r + 10. Let h(t) = 1200 - 2408 + 1208 - t. Suppose 23 - 11 = -4*w. What is w*h(p) + j(p)?\nAnswer: -p**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a millennium in months?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 9*m + 234 = 0, -5*k + 2*k + 3*m - 75 = -k + 3*k - 16 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 542 - 88. Let l = -2268\/5 + k. Which is the nearest to 2? (a) 2\/3 (b) 1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -77 + 155. Let o = u + -65. What is the highest common factor of o and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/90132 and 87\/252266?\nAnswer: 43894284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5 + 21 = -4*v, 0 = 2*v + 3*a + 8. Let g be v\/8*16\/(-6). Determine b so that -1\/3*b**3 - 2\/3*b**2 + g*b**4 + 0 + 0*b + b**5 = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -354*d**5 + 530*d**2 - 1773*d - 214?\nAnswer: -7080*d**3 + 1060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2478804914?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98207 is divided by 61?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4813 + 4382. Suppose 8*r + p = 23*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 940047 is divided by 940042?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.022278923 rounded to four dps?\nAnswer: 0.0223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 15*s = 75. Let h = s - -71. Let c = 351 + h. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and 8556108.673025?\nAnswer: 8556108.973025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 381 - 216. What are the prime factors of z?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 6*x + 80. Let c be t(-14). Let y = 15 + c. What is the highest common divisor of y and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.5 (b) 1\/6 (c) 2 (d) -222 (e) 58.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14612 - 14698 + 28907 - 6 + 4 + 4 + (0 - 1 + 0)*(-1 - 2 + 4))*(62 - 62 - 3*o)*(1 + 0 - 3) to the form m + u*o and give u.\nAnswer: -2412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a + 7. Let h be d(-6). Let i = h + -11. Is i\/(-7) - (-447)\/21 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32536071 is divided by 1914.\nAnswer: 1899","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -3 + (-1 - -5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/((-2 - 2) + 3). Suppose d*a + 55 = a. Does 15 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, m: 2, b: 1, i: 2, s: 1, u: 1}. What is prob of picking 1 u, 1 m, and 2 i?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 27*k + 5. Suppose 30*s - 1282 = -22*s - 762. Calculate the remainder when y(3) is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171001.\nAnswer: 271, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (128\/48)\/((-2)\/((-12)\/(-2))).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 11 (b) -708 (c) -5 (d) -2\/9 (e) 75\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) -2\/11 (c) -4 (d) -156\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -316\/3 - -1568\/15. What is the closest to 1\/41 in 0.3, q, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 9*b**2 - 6*b + 12. Determine x(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -7904, -4, 292, 1, 3, 0 in decreasing order.\nAnswer: 292, 3, 1, 0, -4, -7904","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 3. Let r(x) = 31*x**2 - 1. Let z(i) = 125*i**2 - i - 5. Let d(j) = 9*r(j) - 2*z(j). Is d(f) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (101 + -86 - (-1 + 23)) + -14?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (8\/24*1)\/(1\/222477) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 8*t**2 - 13*t + 11. Let v be f(-6). Let b(i) = 57*i - 32. Is b(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2150663 (base 9) in base 6?\nAnswer: 40432303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 2)*(0 + 0 - 2*k) - 3 - 2*k + 3 + 0*k + k + k - 4 - 15*k + 4 + 16057 - 16057 + 565*k.\nAnswer: 548*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 127600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 + -50. Let l = -14 - h. Let o be ((-20)\/l)\/(2 + 7\/(-3)). Solve z = 5*z - o for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 a factor of 1751781?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -2*a**3\/3 - 5*a**2\/2 - 6*a + 7. Let m(k) = -k**2 - k - 1. What is -5*m(v) + x(v)?\nAnswer: 3*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3460 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/(-10))\/(1\/60). Let z = 307 - c. Let v = 367 - z. Does 27 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2*b = 4, -2*b = b + 6. Solve t = d - 4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -4. Let k be 0*(-2 + -2 + 3). Let m = 1 + k. Sort g, m, -3 in increasing order.\nAnswer: -3, g, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 3:54 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 220*i - 2714 - 2786 for i.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 3*t**2 + 1602*t + 1599 = 0.\nAnswer: -533, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 817 = 835 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 6082 = 7598. Let f(j) = -72*j**3 + 2*j + 2. Let m be f(-3). Let q = w + m. What is q rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + 3 - (-401 - -413)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 247.1 + -247. Let r(l) = l**2 - 2. Let h be r(2). Which is the closest to f? (a) h (b) -2\/3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -5*b**2 - 5*b - 8. Let h(v) = 12 - 282*v**2 - 35 + 550*v**2 - 14*v - 283*v**2. What is 6*h(m) - 17*y(m)?\nAnswer: -5*m**2 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 10:50 PM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2*95.41\nAnswer: -190.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2 = 2*m, 4*m = -4*d - 4 - 4. Let j = 6122 - 6123. Which is the nearest to m? (a) -4 (b) 2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-177))\/(45 - 43 - 6)?\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 493851454.9 to the nearest one hundred thousand.\nAnswer: 493900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4263 is divided by 299.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -47501.9 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 5 + 2 - 9\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fnfvlslvtlvs. What is prob of picking 2 f and 2 s?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 308*u**2 - 69*u**2 + 17*u**2 in the form h + x*u**2 + z*u and give x.\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2. Let k(w) = -4698*w + 232. Let c(p) = 63*p - 3. Let i(z) = -z. Let o(b) = -c(b) - 2*i(b). Let r(h) = -3*k(h) + 232*o(h). Give r(v(s)).\nAnswer: 58*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 + 195*f + 190.\nAnswer: 5*(f + 1)*(f + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.12 - 0.32. Let t = -0.8 + g. What is the smallest value in t, -5, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 295, 220, 95, -80, -305, -580, -905?\nAnswer: -1280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2*(sqrt(17) - (sqrt(153) - sqrt(17)))**2 - 5*(sqrt(17) - sqrt(51)\/sqrt(3))) + 3.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(95)*2)\/sqrt(5).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4*i + 0 = -15, 0 = -5*i. Suppose -4*l = -n*l - 54. Calculate the greatest common divisor of l and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 139061568 by 23176928.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 602429 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 349083892 to the nearest integer?\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-15)*(125\/(-10))\/(-5)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/8295*234710\/30177.\nAnswer: 2\/237","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 99\/5 < -127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 740431?\nAnswer: 101, 7331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.3 + -5. Let x(g) = -g**3 + 3*g + 1. Let o(c) = c**3 - 4*c**2 + 2*c + 2. Let d be o(2). Let s be x(d). What is the nearest to -0.1 in b, s, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -3*v + 1. Suppose 53*o - 51*o = 0. Suppose 9*n + 2*n + 11 = o. Determine l(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 36*c**2 - 6*c + 2. Let a be r(0). Find w, given that -9\/5*w + 4\/5*w**3 - 2\/5 - 3\/5*w**a = 0.\nAnswer: -1, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/220*-11 + 4. Let i(v) be the second derivative of 8*v**2 - 37\/6*v**u + 0 - 17*v. Differentiate i(t) with respect to t.\nAnswer: -37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-6) - (2 - (-70)\/(-15)). What is the greatest common divisor of j and 34?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15363 (base 8) in base 7?\nAnswer: -26054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 161 and 529.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -157291246.6 rounded to the nearest 100000?\nAnswer: -157300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 85316 to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 19680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -4. Let x = h - -11. Suppose -64 = -4*p + 4*b, -5*p = x*b - 0*b - 80. Is p a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 533 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5\/(-10))\/((-1)\/4). Let l(s) = -s**2 - 3*s - 5. Let a(g) = -2*g**2 - 3*g - 6. Let i(h) = 5*a(h) - 6*l(h). What is i(c)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -66*k + 68*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4*b = -12, -2*v - 4*b + 28 = -8. Let p(q) = v - 4*q + 5*q - 8 + 10. What is p(0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-6))\/v*v**(3\/10)*(v**(1\/2)*v)\/(v**(-1)*v))**(-35) assuming v is positive.\nAnswer: v**(-273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, s: 3, t: 1, k: 1, m: 2, e: 5}. What is prob of picking 1 s and 1 l?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -106, 1, 4, -11, 10 in decreasing order.\nAnswer: 10, 4, 1, -1, -11, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4254 divided by -4\nAnswer: 2127\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -8961*q - 125088. Calculate o(-14).\nAnswer: 366","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.03 + 0.43. Let r = -0.3 + i. Let d = 1 - -3. Which is the second biggest value? (a) d (b) r (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*y - 2813012 + 2813012.\nAnswer: -58*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-12))\/(1\/3). Suppose 68 = 4*w - 8. Calculate the remainder when w is divided by 22*(m - (-6)\/4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 418 = -62. Let b = 99 + h. Calculate the remainder when 109 is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 149 and 20.\nAnswer: 2980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 1552*g - 1553*g = 8, -4*d - 4*g = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37\/2 of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 + 0.3. Suppose 3 = -z + 11. Let b be 0 - -1 - (8 - z). Put b, d, 4\/3 in ascending order.\nAnswer: d, b, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 18*d**2 - 12*d - 34. Suppose 15*a + 60 - 315 = 0. Let r be i(a). Which is smaller: r or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 42*d**3 + 12*d**2 - 12*d. Let a(v) = -17*v**3 - 5*v**2 + 5*v. Let s be (-1)\/(6\/4) - (-1360)\/(-120). What is s*a(w) - 5*g(w)?\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) -0.176 (b) -4 (c) -0.08 (d) 5 (e) -44\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 145404151 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/84 and -75\/196?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 13*a**2 - 14*a + 10. Let u be y(-14). Let w(s) = s + 128. What are the prime factors of w(u)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**4 + 3*s**3 - 59*s + 59*s + (-s**2 + 3*s**2 - 3*s**2)*(-s + s + s**2) + 0*s**4 + s**4 - 3*s**4.\nAnswer: -4*s**4 + 3*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -2*m**3 - 23168*m**2 - 323986*m - 300820 = 0.\nAnswer: -11570, -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 0.1 (b) 1.1 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -0.2 (c) -8 (d) 0.006 (e) 0.1 (f) -67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*i + 36*i + 18 = 0. Let v = 8 + -3. Put 4, i, v in descending order.\nAnswer: v, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -493\/1080 + 13\/27. Which is the second biggest value? (a) 0.3 (b) -3\/4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7951, 15902, 23853, 31804, 39755, 47706?\n\"Answer: 7951*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, -5, -1868, 0.0905?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 + 1.8062.\nAnswer: 1.7462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 divided by -6?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 12, 47, 144, 333, 644, 1107?\n\"Answer: 5*x**3 + x**2 - 3*x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of 13*n**5\/20 - 12*n**3 + 110*n**2. What is the first derivative of p(u) wrt u?\nAnswer: 78*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {m: 2, i: 7, d: 2, q: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 + (-1)\/(-3)*0 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/45*-3)\/((-80)\/(-24))\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 2:46 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -n**3\/3 - 13*n**2\/2 - 6*n + 2. Suppose 0 = 3*w - 5*w + 94. Calculate the remainder when w is divided by z(-10).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60229 is divided by 14608?\nAnswer: 1797","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1181320, -1181324, -1181330, -1181338, -1181348, -1181360?\nAnswer: -1181374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-4) - 54\/(-8). Suppose l + y = 1, -3*y = -2*l + 17 + 5. Suppose 0 = -l*i + b + 8. What is the highest common factor of i and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3076931 = 188*q + 967947. List the prime factors of q.\nAnswer: 2, 71, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*t + 3*k, -3*t + 0*k + 1 = -2*k. Let x be 8\/(-6)*114\/(-4). Suppose g - 5*g - t*y = -172, 0 = -g - 2*y + x. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4567 is divided by 4505.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 7*p**2 + 2*p - 19. Let t be r(7). Let m(u) = 3*u**2 + 7*u + 13. List the prime factors of m(t).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2 - q**2 + 3 - 4 + 5*q. Give y(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2724607397.\nAnswer: 73, 103, 362363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 2:57 PM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lsslsslslssllsls. Give prob of picking 3 l.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.64*0.13.\nAnswer: 0.0832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 336155 rounded to the nearest one hundred?\nAnswer: 336200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 0. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26? (a) 0.5 (b) -6 (c) -27 (d) 76\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 107048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/39, -2\/3, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9219.\nAnswer: 3, 7, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1573) + sqrt(1573)*1*1)**2 - sqrt(1573))*-1.\nAnswer: -6292 + 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10\/3 + -3. Let w = 20 + -32. Let n be (3\/w)\/(1\/2)*-2. Which is smaller: i or n?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 102\/11, -2, 548, -4 in decreasing order.\nAnswer: 548, 102\/11, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 5) to base 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, l: 2, n: 1, y: 3}. Give prob of picking 1 n and 1 y.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -3) + -22 + 36.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -24, -48, -74, -102, -132?\n\"Answer: -a**2 - 21*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h = -281 + 305 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*q = 37*q - 14 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104245 (base 6) to base 12.\nAnswer: 5085","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 + 5*k + 16. Let l be p(7). Suppose y = l*y - 7. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -162 + 259. Calculate the remainder when i is divided by 27.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(72)*1*-2 + 2)*-6.\nAnswer: -144*sqrt(2) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17668130?\nAnswer: 2, 5, 41, 43093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 110200001211202?\nAnswer: -110200001211120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(1\/2))\/i**(-15))\/(i**(3\/4))**(-41) assuming i is positive.\nAnswer: i**(185\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 50123 (base 8) in base 7?\nAnswer: 113644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-20 + 21)*15*(-8)\/(-12)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/21)\/((-36)\/(-23456364)). Let f = 31026 - i. What is the common denominator of f and -83\/2?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**2 + 2*a + 2. Suppose 0 = 3*c + 3*q - 18, -5*c + 3*q + 16 = q. What are the prime factors of p(c)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 + b + 5. Let g be y(0). Suppose g = u - 0, 2*n + 3*u = 61. Suppose 4*m - 7 = -n. Is -3 less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.07, 2\/5, -1\/3, -5, -1 in descending order.\nAnswer: 2\/5, 0.07, -1\/3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 4:17 AM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4 + 7 + 9*h + 3 + 0 + 3*h**2.\nAnswer: 3*(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 5, 0 = -a + 3*g + 5. Suppose 0 = a*y - 5 - 1. What is the highest common factor of 3 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 w when three letters picked without replacement from {i: 12, c: 2, q: 4, w: 2}.\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -718 and -0.0437.\nAnswer: 31.3766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.157505ug?\nAnswer: 0.000157505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*y = 18*y + 254*y - 2964 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -6, -3, 26, 2, -14 in descending order.\nAnswer: 26, 4, 2, -3, -6, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -56 + 57. Sort 5, 0, d, 4 in decreasing order.\nAnswer: 5, 4, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-9))\/(107 - (-15136)\/(-129)).\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 326750896 and 8592.\nAnswer: 2864","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) 17 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(6*(1 + (sqrt(13) - (sqrt(13) - -3*sqrt(208))) - (4 + -1 + sqrt(1300))) + 0 + 2))**2.\nAnswer: 95040*sqrt(13) + 8158032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -z**6\/480 + z**4\/32 + z**3\/12 - 2*z**2 - 12. Let y(w) be the second derivative of o(w). Factor y(u).\nAnswer: -(u - 2)*(u + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -62 + 112. Is 9 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4634479\/5 >= 926897?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15981\/1048 + 1\/1048. Calculate the common denominator of -23\/16 and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5057 - -39658824.\nAnswer: 39653767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 812931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5, -23, 2, -1\/5, 0.09?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 30 = -5*g, -g = -3*v + g - 2. Solve v + 2 = -2*b - 2*a, -4*b = 2*a + 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u. Let i(j) = 7*j**2 + 8*j**2 + 13*j**2. Calculate i(c(k)).\nAnswer: 28*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 3*u + 903 = 0, 1204 = 4*q + u + u. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -1\/4 (b) -1\/2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-181*p**2 + 178*p**2 - 3*p**4 - 3*p**3 + 12*p**4)*(-64*p + 48*p + 45*p).\nAnswer: 261*p**5 - 87*p**4 - 87*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 22*w**2 - w + 12. Suppose 29*l + 203 - 200 - 641 = 0. Calculate a(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -100*k - 738 = 162 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111561817.\nAnswer: 139, 802603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6826 and 2.\nAnswer: -13652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + (-12)\/5)*-15. Let q be (z\/(-25))\/((-30)\/(-100)). Are 0 and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2423 - 928. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/25 + 33\/5. Suppose -3*s - 2*g = -m*g - 2, 3*s - 20 = -4*g. Suppose 22 = 5*a + 4*h - 29, 0 = 2*a - 3*h - 2. Solve a - 19 = s*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + f + 9 = 0, 4*f + 9 = -q - 2. Let y = 1.6 - 17.6. What is the nearest to y in q, -1\/6, 2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23012202 (base 4) to base 3.\nAnswer: -2022101020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 586770.4 grams in nanograms?\nAnswer: 586770400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 588*f - 3660. Let k be u(7). Calculate the greatest common factor of k and 336.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38.983 + -39. Let g = 13.983 - n. Which is bigger: -3\/5 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1488746 + -4?\nAnswer: -1488750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19363\/15 - 1291. Let h = 0.14 - -2.36. Let f = h - 3. Which is the third smallest value? (a) j (b) 0 (c) f (d) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1102560 is divided by 110253?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 5*b - 2*b + 8, -5*b - 22 = -2*t. Suppose 3*d - 16 = -t. Solve -d*s + 0 = -15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 126 and 1008?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -278745 divided by -5\nAnswer: 55749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00655150544 to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*u - 79 - 11*u + 79 in the form m + g*u and give g.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 7. Suppose 4*w - 4*n = -12, -2*w = 2*w - y*n + 10. Let b be 22\/6 - w\/3. Solve -c + 0*q = 2*q - 1, 2*c + q = -b for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*q**4 + 9*q**2 + 2*q**4 + 14*q**4 + 2*q**3 as w*q + l*q**3 + y + z*q**4 + j*q**2 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of l**5\/20 - l**4\/2 + l**3\/6 - l**2\/2 + 8*l. Determine h(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 22 = -2. Let y = -333147 + 333241. What is the remainder when y is divided by o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 5, l - 384 = -9*v + 4*v. Let p = 97 - v. Solve 0 = 2*m - 6*m + p for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 12*p**2 + 11*p + 16. Suppose -a + 5*a = -5*n + 36, 5*n - 32 = -3*a. What is the remainder when z(11) is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of 5*u**3\/3 + 27*u**2\/2 + 10*u - 106. Let q be i(-5). What is c in 4\/9*c**2 + 0*c + 2\/9*c**5 + q + 10\/9*c**3 + 8\/9*c**4 = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven halves of a millimeter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*sqrt(68) - ((sqrt(68)*-2 + sqrt(68))*-6 + sqrt(68) - sqrt(68)))\/((sqrt(4) + (sqrt(64) - sqrt(64)*-2 - sqrt(4)) + sqrt(4))*5).\nAnswer: -2*sqrt(17)\/65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 + 10*l + 12. Let o be c(11). Suppose u - 4 = 0, 7*u - 14 = -2*w + 3*u. Let b be (-2)\/(-10) + w\/5. Which is smaller: b or o?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5515 and 1686645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/2*(-327)\/6. Let j(f) = -109*f + t*f - 22*f**2. Let v(n) = -n**2. Calculate v(j(r)).\nAnswer: -484*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 196?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - 25. Let b = n + 11. What is the highest common divisor of 30 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 8:04 PM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34 + 27 + (3 - -4) + 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3639988?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -41 + -2?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76, -153, -220, -271, -300, -301, -268, -195?\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -9*z**2 - 5*z + 8. Suppose 0 = -0*c + 7*c - 42. Let w(b) = 8*b**2 + 4*b - 7. Calculate c*n(o) + 7*w(o).\nAnswer: 2*o**2 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-24)*138)\/((225\/(-400))\/(12\/(-16)))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/65)\/(6\/15)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 7*s**3 + s**2 - s + 1. Let q be y(1). Let i = 30 + -38. List the prime factors of 12\/i*q\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 254 - 243. Is 2\/x + 1005195\/(-110)*-6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/67120 and 7\/312?\nAnswer: 2617680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**2 + 16*d + 20. Let s be i(15). Let g = s - -195. Solve -3*c + g = 2*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 16 = 3*l. What is the biggest value in 0.04, l, 5\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -456490\nAnswer: -456490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3229?\nAnswer: 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22*s + 7*s + 9*s)*(-11 - 3 + 5)*(3 - 1 - 1)*(-4 + 4 + 2) to the form n*s + m and give n.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -14) + -21 + 15 - (-3 - -35)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -9\/7, 5, -4, -0.1.\nAnswer: -4, -9\/7, -2\/3, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4157 - -87301\/21. Let w(s) = s**2 + 7*s + 2. Let v be w(-7). Suppose -v*j + 3 = j. Is j at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-624)\/128 - -5)*(840 - 16)?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 8*f - 4*f = -14, -2*q = 5*f + 13. Suppose -q*k = k - 14. Let t(x) = 0*x - 32*x**2 - 5 - 4*x + 33*x**k. Give t(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -22, -89, -202, -361, -566, -817, -1114?\n\"Answer: -23*t**2 + 2*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.239 and -200.\nAnswer: 47.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 12. Let n(t) = t**2 + 8*t + 1. Let z be n(a). What are the prime factors of -34*(0 - z\/2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 11*x**2 + 10*x - 49. What is t(-9)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 977, 1392, 1807, 2222, 2637?\n\"Answer: 415*p + 562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16)\/2*(-3 + 2). Let x(c) = 3*c**2 - 7*c + 7. Is x(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from abxa. Give prob of picking 2 a.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/7 + 2622\/(-819). Let r = a - -2489\/546. Let b = -7332 - -88055\/12. What is the common denominator of r and b?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -942 + 15451. What are the prime factors of i?\nAnswer: 11, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46910015?\nAnswer: 5, 59, 159017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -9. Let d be a\/2 - 2*-5. Let u = d + -8. Solve 0 = -2*i + 2*q - 5*q - 2, -u*i - 3*q + 13 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-4))\/((-1)\/8). Let v = -1.43 + -23.57. Let j = v + 25.2. What is the biggest value in w, j, -0.1, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n + 6. Give q(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(2\/6*3)\/4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20)\/(-16) + 1*-2. Let l be 0 - (0 - -2 - 0). Which is smaller: l or p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -236*i - 337 - 1127 = -175*i for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 649632385 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/(-15))\/((-6)\/60)*-2. Suppose -26 = -4*m - j*t + 3*t, 2*m + 3*t - 14 = 0. Suppose -4441 = -3*v - 5*l, m*l - 6572 = -5*v + 821. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 18 = 2*y. Let g = 17 + y. Calculate the lowest common multiple of g and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 + -56\/3. What is the biggest value in i, -2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2108 and 18848.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 39217?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -2*z + 2, 5*z + 2*x + x = 13. Suppose 56*d = 39*d + 51. Solve d*y = 4 + z for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42091 and 196.\nAnswer: 168364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 54 = 6. Let h(s) = -14*s. Let b(g) = g. Let o(r) = q*b(r) - h(r). What is the units digit of o(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 - 0.1. Let n = -37\/290 + -1\/174. What is the nearest to o in n, 0.5, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v**3 - 2. Let g(x) = -x**2 + 5*x - 6. Let z be g(4). Is i(z) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -5*o**2\/2 - 11*o + 3011. Let w(f) = -f - 3. What is 2*h(d) - 9*w(d)?\nAnswer: -d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0642514 rounded to 3 decimal places?\nAnswer: 0.064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -166, -438, -1052, -2140, -3834, -6266?\n\"Answer: -22*l**3 - 39*l**2 - l - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 25? (a) -2 (b) -137 (c) 1 (d) 0.16 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*350\/245)\/(((-8)\/(-126))\/(-4))?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + p - 1. Let u(q) = -q**3 + 8*q**2 - 9*q + 66. Let l be u(8). Let i(x) = -8*x**2 + 6*x - 6. Give l*s(c) + i(c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zv when two letters picked without replacement from {z: 1, b: 2, o: 1, v: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 1416504?\nAnswer: 1\/236084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + u - u)*(u + 3*u - 5*u)*(-u**2 - 2*u**2 + 5*u**2) + (u**3 + 23*u**3 + 16*u**3)*(14 - 14 - 6*u).\nAnswer: -238*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - p + 283, 3 = 3*p + 9. Let f = 5 - -33. Calculate the highest common divisor of f and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 192468 and 516?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g + g + g**3 + (4*g - 2*g - 3*g)*(-3*g**2 - 3*g**2 + 3*g**2 + (0*g**2 - 5*g**2 + 6*g**2)*(4 - 1 - 4) + 7*g**2 + 1 - 1 + g + g**2 - g).\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) + -2*4*sqrt(228) + sqrt(228)*4*3)\/(sqrt(768)*-3 + (sqrt(12) - -6*(sqrt(1200) - sqrt(12)))).\nAnswer: 5*sqrt(19)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c = -20*c + q + 189, 2*q = 6. What is the greatest common divisor of c and 216?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 271*w + 127*w = -34*w - 14688 for w.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/89418 and -39\/647216?\nAnswer: 13591536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -0.3. Sort 0.5, 3, q in increasing order.\nAnswer: q, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3342239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (-38 + 50)) + (-5 - 0)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 628 divide 15027940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-9)\/3)*3\/(-1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l - 14. Let g be p(17). Differentiate 124*a**2 + 63 + 83*a**g - 124*a**2 wrt a.\nAnswer: 249*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 185528, 1484146, 5008968, 11873096, 23189632, 40071678, 63632336?\nAnswer: 94984708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -6*g - 142. What is b(-23)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11189927?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - 21*w**2 - 15*w + 76. What is a(-20)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 10*v - 6*v)*(-v + 0 + 0)*(2*v**2 - 254*v + 254*v).\nAnswer: -2*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11a121 - 1?\nAnswer: -11a122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 6*v**3 + 8*v**2 + 5*v - 3. Let a(f) = -18*f**3 - 23*f**2 - 14*f + 9. Give 6*a(o) + 17*q(o).\nAnswer: -6*o**3 - 2*o**2 + o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*y + 39*y - y = 77*y + 2460 for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - 15 + 22 + 0*u**2 + 10*u**2 - 8*u. What is the tens digit of m(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*z + 120 = 5*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -70.43 - 0.07. Let z = o - 17.5. Let r = -85 - z. Which is the smallest value? (a) 5 (b) -5 (c) r (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.07844, 0.1, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -k**7\/945 - k**6\/180 + k**5\/54 + k**4\/36 - 4*k**3\/27 + 11*k**2 + 1. Solve y(n) = 0 for n.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 8*i**2 + i - 14. Determine b(-7).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/552 and -13\/15.\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - 21\/9)*747. Suppose 6*f - t = -138. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 32\/(-20)*5 - -135. Is 2 >= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1187, 2370, 3553, 4736, 5919?\n\"Answer: 1183*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 84 = 4*h, -4*h - 60 = -h - 3*j. What is the common denominator of (2\/(-8))\/(h\/492) and -93\/28?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 254*k + 2. Let x(c) = -509*c - 5. What is -7*b(u) - 3*x(u)?\nAnswer: -251*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1))**(-4\/13))**(4\/23)\/((w**1\/w)**(-14\/15)\/((w\/w**(-1\/4))\/w**4)) assuming w is positive.\nAnswer: w**(-3225\/1196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -23*t + 441. Is 120 a factor of j(-33)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/111, 2\/3, -2, -0.4?\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 96 - 8*o - 26 - 5*o**2 - 35 + 2*o**3 - 30. Is f(6) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 6*q**3 - 8*q**2 + 9*q - 9. List the prime factors of p(5).\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -12. Let x = -4.5 - s. What is the smallest value in -1\/6, x, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.37 - 27.63. Let w = 3.00946 - 0.00946. Sort -0.5, w, b, 5.\nAnswer: b, -0.5, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 4*d - 2. Let g(q) = q**2 + 9*q - 6. Let c be g(-10). What is the units digit of d - -3 - 0\/c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*v + 42. Calculate the smallest common multiple of v and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i - 3*i + 8*i)*(-1 + 4*i + 1) in the form u*i**2 + s*i + h and give u.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -6702 > -6699?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2373 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.7682 + 4.8. Let v = d - 0.0318. Which is the smallest value? (a) v (b) 1 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 279, 1109, 2491, 4425, 6911?\nAnswer: 9949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) -1\/3 (b) 0 (c) -2694\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 140\/56*(23\/5 - 1). Suppose 63 = 8*a - m. Solve -7*g + a*g = 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + -37 + 38 + 6.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b**5 - 4965*b**4 - 688869*b**3 - 1131075*b**2 + 453750*b = 0. What is b?\nAnswer: -275, -2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -537310 = -22787*r + 3249*r - 2623460 - 317024 for r.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2*v**4 + 5888*v**3 - 35418*v**2 - 52992*v + 318600 = 0.\nAnswer: -2950, -3, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/75 of a day?\nAnswer: 2304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 370278184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 20\/(-90) + 4780\/45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21666 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: In base 6, what is 4 + -35?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -62 - -160. Is u a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 32110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**3 + 5*p + 29 - 29)*(2 - 1 + 1)*(-2*p + p - 3*p).\nAnswer: 16*p**4 - 40*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-6) + (-1883)\/(-150). Let l be 69\/(-2)*2088\/(-4050). Let t = v - l. Calculate the common denominator of t and -41\/14.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*a = 17*a + 4. Suppose -2*o = a*c - 1058, 4*o - 3183 = -2*c - 1049. List the prime factors of o.\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5311, -20077, -44687, -79141?\n\"Answer: -4922*d**2 - 389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 115*h**2 + 36*h - 16. Let k(y) = y**2 - 2*y + 5. Give 3*k(z) + u(z).\nAnswer: 118*z**2 + 30*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0025918 to four decimal places.\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8 + (27\/3)\/(-3). Suppose 1 + 79 = o*h. Does 16 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**2 - 71*u - 30. Let w be m(36). Solve -w*t + 19 = 13 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - 2*r - 2. Let o be p(3). Let s be ((-12)\/(-16))\/((-7)\/(280\/(-135))). Which is the closest to s? (a) o (b) -1\/2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.02 and -15.7849.\nAnswer: -15.7649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-60 + 60 + 286*t - 87*t)*(-2 - 1 + 1 + (1 - 4 + 1)*(-2 + 0 + 4) + 1 - 2 + 0)*(55 - 20 - 29) in the form d + p*t and give p.\nAnswer: -8358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2523867223 rounded to 2 decimal places?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -0*w + 16. Let v(k) = -k**3 + 7*k**2 + 4*k + 10. What is v(w)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(170)*-5 - sqrt(170)) + sqrt(170) + ((sqrt(170) + sqrt(170)*-2)*-1 - sqrt(170)) + sqrt(170))\/(4*(sqrt(810)*3*6 - sqrt(810))))**2.\nAnswer: 1\/1377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*h**2 + 6 - 7 + 3*h**2 to the form u*h**2 + p + o*h and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 149476698?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 21, 8, -5?\n\"Answer: -13*v + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -10*i**5\/11 + 64*i**4\/11 - 8*i**3 - 108*i**2\/11 + 162*i\/11 + 108\/11 = 0.\nAnswer: -1, -3\/5, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 117*j**2 + 4*j + 13. Is g(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 512 + -469. List the prime factors of i.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 5*u**3 - 35*u**2 + 70*u - 40 = 0?\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75724621.\nAnswer: 7, 10817803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5782, 5788, 5798, 5812, 5830, 5852, 5878?\nAnswer: 5908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11 + 0*(-1 - 0). Let p = r - 9. Solve -p*b - 10 = -3*v - 0*v, -5*v + 12 = -b for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*o - 34*o + 116*o**2 - 9*o**2 + 82*o - 21*o in the form l + a*o + u*o**2 and give u.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -10. Suppose -f*p + 8 = m - 4*p, 2*p - 14 = -3*m. What is the smallest common multiple of m and (-60)\/(-3) + 3 + -1?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 2:49 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 5:38 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110111021220 + -201?\nAnswer: 110111021012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0256 - -4.9744. Which is the smallest value? (a) s (b) -5 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3763\/3210 + -3\/535. Let p(r) be the second derivative of 0 - 2*r**2 - w*r**3 - 3*r. Differentiate p(l) wrt l.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 19*b**2 - 432 + 432 - 18*b**2. Let z(d) = -122*d**2 - 2*d. Calculate n(z(p)).\nAnswer: 14884*p**4 + 488*p**3 + 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) - (sqrt(78) - sqrt(78)*-2))*4)\/((sqrt(36) + -3*sqrt(36))\/sqrt(6)).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3}. Give prob of sequence xxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138*v**2 - 34*v**2 - 29*v**2 - 47*v**2 + 66*v - 68*v - 35*v**2.\nAnswer: -7*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 8 - 3 = v, -10 = -v + 2*l for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of d**7\/2520 - d**5\/120 + d**4\/36 + 4*d**3\/3 - d**2 - 68. Let v(f) be the third derivative of g(f). Find s such that v(s) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -13*u**2 + 29 + 36 - 178 + 113. Suppose -4*z + 12 = -0*z. Let v(m) = 3*m - z*m - 2*m. Give g(v(l)).\nAnswer: -52*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15690?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -1\/2 (b) -3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -8810*z + 7100874. Give y(806).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(((a\/(a**(-3\/5)*a)*a)\/a)\/a))\/((a*a**(-2\/21))\/a))\/((a*a\/((a**(-2\/7)*a)\/a)*a)\/a)**(1\/34) assuming a is positive.\nAnswer: a**(2549\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 43 + 8 = 0. Let l = 1 + p. Let t = -5 - l. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 5*v - 21 - 7, -2 = -3*t - v. Solve t*f = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5024979, 5024954, 5024929?\nAnswer: 5024904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 6*r**2 - 3*r - 9. Let k be x(-6). Suppose -6 = -3*l + k. Let b = 7 - l. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501.54 rounded to the nearest ten?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)*1*2)\/sqrt(10)*-6.\nAnswer: -12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9808, -58294, -189894, -446164, -868660, -1498938?\nAnswer: -2378554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (15 + -6) - -5 - 2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-216)\/(-40))\/(9\/30). What is the highest common divisor of 2 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184*z = -168*z - 8960. Is 35 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.5 (b) 3 (c) 0.02 (d) 2\/59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of b**6\/3 - b**5\/5 - 3*b**4 - 10*b**3\/3 + b**2 + 3*b + 28. Determine a so that c(a) = 0.\nAnswer: -1, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 6*y - 2*y + 22, y = -f - 6. Let p = -8.6 + 9. Which is the third smallest value? (a) f (b) p (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -346\/7, -0.46, -153 in decreasing order.\nAnswer: -0.46, -346\/7, -153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m + 2*m - 5*m)*(2 - 2 + 2) + 0*m + 0*m + m + (-m - 2*m + 2*m)*(-2 + 1 + 7) - 2*m - 4*m + 5*m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98363 + 26455 = 6*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 12:56 AM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1053844?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10624, -20928, -31232?\nAnswer: -41536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53 + -51. Factor 0*q + 2\/3*q**u + 0.\nAnswer: 2*q**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.372 + 32.248. Let a = g + -29.9. What is a rounded to 1 decimal place?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of h**4\/6 - 10*h + 3. Let v(d) = 23*d - 3. What is k(v(w))?\nAnswer: 1058*w**2 - 276*w + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (76\/(-57))\/(99\/(-27))\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 - -32. Suppose 0*s - s - 3 = 0. Let v be s*9\/((-36)\/z). Solve -v = 4*t - t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from axqxazxzzzbqbxxbb. Give prob of picking 1 b and 1 z.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 20 = -2*f, -4*f + 6 + 6 = 0. Let l = -21 + 56. Suppose 28 + 7 = 5*c + 2*d, 0 = -5*c + d + l. What is the highest common factor of g and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3873 + -3857. Let d = 0 + -0.2. Which is the closest to 0.1? (a) -2\/11 (b) f (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 t, and 1 b when three letters picked without replacement from fbfbbbfffts?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 119214 and 6208794?\nAnswer: 3222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 948 - 453. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2209984999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*t + 135 - 135)*(t**4 + 0*t**3 + 0*t**3).\nAnswer: 34*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 25\/7, 1\/102, -2, -4, -0.01, 0?\nAnswer: 25\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2c5 (base 13) to base 8.\nAnswer: 763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*6\/(-30)*5\/(-12)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32183 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 40604, 1\/5, -52?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkppokkokkgfl. Give prob of sequence po.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 8:01 AM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2517526186 rounded to 2 decimal places?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -22313132220?\nAnswer: -22313132203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/9 - 523656*f + 308492557128.\nAnswer: 2*(f - 1178226)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11001 (base 2) in base 3?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -18\/7 (b) -2 (c) -3\/10 (d) 3 (e) -0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.49 - -0.91. What is m rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 a when four letters picked without replacement from majaamjm.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12 take away 193?\nAnswer: -192.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v**5 + 20*v**4 - 28*v**3 - 20*v**2 + 24*v = 0.\nAnswer: -6, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -214064543 (base 7) to base 8\nAnswer: -60765563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 21 + (-87 - -83)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 66951949\nAnswer: -1\/66951949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -6*t + 120. Give k(18).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 5*w**2 + 2*w + 56. Let m be d(-7). Suppose 0 = m*k - 133*k - 10920. Is k a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 113.599 - 114. Let s = 0.099 - h. Let q = -0.5 + 0.2. What is the smallest value in q, 6, s?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**1)**(3\/46)*(b\/(b\/b**(2\/7))*b)**0)**(1\/3))**33 assuming b is positive.\nAnswer: b**(33\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 16\/7 (c) -4 (d) -0.3 (e) -1.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/156 and (-141929)\/23430 - 1\/(-11)?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18\/(-30)*20\/(-6). Suppose -2*n = w*n - 92. What is the greatest common divisor of n and 184?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of -l**6\/2160 - l**5\/90 - l**4\/9 - 14*l**3\/3 + 4*l. Let w(r) be the second derivative of z(r). Factor w(n).\nAnswer: -(n + 4)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**3 + 6*x**2 - x + 2. Let m be v(-3). Let j(s) be the third derivative of 1\/80*s**m - 2*s**2 + 0 - 1\/32*s**4 + 0*s + 0*s**3. Factor j(c).\nAnswer: 3*c*(c - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o + 7. Let q be f(-7). Suppose u - 2*z = -119 + 1019, 5*u - 4458 = -4*z. Is (q - 1)\/((-3)\/u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -1\/3, 49, 1128?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4389985 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -652963.38 rounded to the nearest one hundred?\nAnswer: -653000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 96916061 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 5*c - 25 = 0, 4*f + 60*c - 59*c = 21 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2426991\/230 - 10552. Calculate the common denominator of (-146)\/(-72)*15\/(-5) and p.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4275807 - 2690.\nAnswer: -4278497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4087661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -77 + 77. Let s = 0.9 - 2.9. Let j = s - -1.6. What is the nearest to m in j, -0.3, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100680 is divided by 4592?\nAnswer: 4248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/33)\/((c*c**(2\/27))\/c))**(-3\/17))**(-23) assuming c is positive.\nAnswer: c**(-299\/1683)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**5 - 4*r**5 + 0*r**5 + (0*r**2 + 4*r**2 + 4*r**2)*(-2*r**2 - 2*r**3 + 2*r**2) - 141*r**5 - 30*r**5 + 37*r**5.\nAnswer: -152*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*s + s = 0. Solve 5*a + c + 3 - 5 = s, -a - c - 2 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*r + 38*r + 22703 - 114653 = 0. What is the smallest common multiple of r and 10?\nAnswer: 6130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 80 = -5*i + 53, 4*u = 3*i - 91. Suppose 2*c + 22 = 3*z - 10, -c = 2*z + 2. Let b = c + i. What are the prime factors of b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*c + 9. Let w(t) = -t**3 + 7*t**2 + t. Let q be w(7). Sort c, -1, q in decreasing order.\nAnswer: q, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -197*l + 193*l - 22, 22 = 2*r + 105*l for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 2 - (0 - (-3 + 5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 187*h - 2 - 182*h - 4 + 583*h - 197*h.\nAnswer: 17*h - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3*c**3 - 6*c**2 - c + 11. Let o(m) = -7*m**3 + 12*m**2 + 3*m - 23. Let r(n) = 9*k(n) + 4*o(n). Determine r(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 127 and 1270.\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 722*k**2. Let i(g) = 7*g**2. Calculate i(o(t)).\nAnswer: 3648988*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -116 + 182. Let i be (44\/b)\/((-2)\/(-3)). Solve 0 = 4*u + v + i + 3, -4*v + 8 = 4*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8.722 - 10.722. Is k at least as big as 0.921?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3 + 72*z**2 + 18*z**3 + 8*z - 18*z**2 - 23*z**3 - 143*z.\nAnswer: -3*z*(z - 15)*(z - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1139474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, r: 7, z: 4, s: 6}. Give prob of sequence ra.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.4 (b) 5\/8 (c) 2 (d) -13512\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p + 5. Let h be y(-4). Which is the nearest to -2? (a) h (b) 2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24287 and 109047.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*u**2 + 6*u**3 + 31 - 30 - 7*u**2)*(379*u - 84*u - 56*u).\nAnswer: 1434*u**4 + 478*u**3 + 239*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7721 - 6530. Solve p = 9*f + 1137 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of 11*n**5\/20 + 3*n**4\/4 - n**3\/3 - 63*n - 18. Let y(o) be the first derivative of z(o). Factor y(q).\nAnswer: q*(q + 1)*(11*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 448201209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**2 - 4*r**2 + 0*r**2 + (20 - 26*r - 20)*(-3*r + 5*r - 4*r) + 4*r - 4*r + r**2.\nAnswer: 52*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -5. Let y(v) be the second derivative of v**3\/6 + 2*v**2 - 20*v. Determine y(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**2 + 35*k + 52. Let q(f) = -f**2 + 17*f + 26. Suppose 3*n + 5*n + 32 = 0. Let s(x) = n*j(x) + 9*q(x). Does 38 divide s(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4*l - 2. Calculate the least common multiple of 1\/(-4)*(-12 + 0) and i(3).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**2 + 53*m - 5 - 162*m + 98*m**3 + 109*m as h*m**3 + p*m**2 + n*m + j and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240) - -5*3*sqrt(240))\/sqrt(8))\/((sqrt(18) + (sqrt(216)*1 + sqrt(216) + sqrt(216) + sqrt(216))\/sqrt(12) + sqrt(18) + sqrt(18))\/sqrt(3)).\nAnswer: 16*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 84926*u**2 + 55*u - 107. Is m(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - 7*z + z)*(-z**2 + 0*z + 0*z) + 4*z**3 - 3*z**3 + z**3 + z**3 - 3*z**3 + z**3 + z**3 - z**3 + 4*z**3 - 1 - z**3 + 1.\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -4, 3\/5 in decreasing order.\nAnswer: 3\/5, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/4)\/(2\/(-24)). Let k(t) = -y*t**2 + 13*t**2 + 7*t**2. Let w(r) be the first derivative of -2*r**3\/3 - 6183. What is w(k(c))?\nAnswer: -392*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -383458.2 + 1227.61?\nAnswer: -382230.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (((sqrt(720) + (sqrt(720) - (sqrt(720) - (sqrt(720) - (-2 + sqrt(720) + 1)))) + -3)*2)**2 + -3)*-2)*-6.\nAnswer: -2304*sqrt(5) + 34728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g - 9. Let v be 9\/((-18)\/4) + -54. Let s = -63 - v. Calculate n(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 494\/(-48) + 9\/(-24). Which is greater: -10 or k?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 245*a - 2 - 967*a - 392*a**2 + 73*a**2.\nAnswer: -319*a**2 - 722*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*q**2 + 102*q**2 + 2*q + 590 - 590 - 4*q.\nAnswer: 136*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-48)\/9)\/(2\/(-3)). Let r(i) = -i**3 - 5*i**2 - 5*i + 1. Let m be r(-4). Suppose -3*b + 0*b - m*u + 6 = 0, -5*u - y = -4*b. Solve p = b - 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 4*a**5 + 260732*a**4 + 3910380*a**3 + 19550900*a**2 + 32584000*a = 0?\nAnswer: -65168, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2*w = -15. Solve w = s - 3*m + 8, -5 = s - 5*m for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6 + 1 + 2)*(2*q**4 + 0*q**4 + 2*q**4) - 2*q**4 + 5*q**3 - 5*q**3 + 0*q + 0*q - 4*q**4)*(-6 + 2 + 1 + (-4 + 0 + 2)*(-1 + 1 - 1)).\nAnswer: 18*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.32 - 1.38. Let y = g + -0.3. Let q = 15 + -15.1. What is the third smallest value in y, q, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j. Let z(v) = -14*v - 30. Let c(o) = -3*q(o) + z(o). What is the first derivative of c(w) wrt w?\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23737231*0.02\nAnswer: -474744.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 112901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/512298 and 77\/71958.\nAnswer: 34323966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*w - 26*w - 12 = 0. Let t(u) be the third derivative of 1\/32*u**4 - 1\/12*u**3 - 1\/480*u**w - 5*u**2 + 0*u + 0 + 0*u**5. Determine z so that t(z) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i - 102*i - 896 = 0 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75786682?\nAnswer: 2, 97, 390653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5469*k**6 - 1923*k**3 + 1096*k**2 + k + 2079 wrt k?\nAnswer: 656280*k**3 - 11538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 7:03 AM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15476177 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1236*c + 838*c = 4148 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/5 - (-14 - -13)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3889567 and 1728255.\nAnswer: 1691961645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + 40\/15 + (-8)\/(-6). Suppose -v*z - 4*s - 6 + 16 = 0, 4*z = s + 56. Determine w so that -12*w**3 - 5*w**4 - z*w**3 + 15*w**3 + 5*w**5 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 193*b**2 + 1297*b + 35. Calculate x(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224 = -5*p - 1994. Let o = p - -1505. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 37085173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - (-33)\/7) + -2. Let g = 67603 - 67599. Factor 16\/7*c + 6\/7 + s*c**2 - 2\/7*c**g + 0*c**3.\nAnswer: -2*(c - 3)*(c + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 198 and 702.\nAnswer: 7722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.337 - 0.663. Sort -2, -2\/7, j, 3 in increasing order.\nAnswer: -2, j, -2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19\/3*d**2 + 27 + 1\/3*d**3 + 33*d.\nAnswer: (d + 1)*(d + 9)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(-4)\/(-26) + (-10)\/(18200\/6559). Is 1 not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1362*r + 74 = -1358*r + 5*d, 2*d + 28 = 2*r for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(-6*(sqrt(208) + -6*(0 + sqrt(208)) - sqrt(208)) + 3) + 5)*-2 + 1)**2.\nAnswer: 34560*sqrt(13) + 17252577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/10)\/(51\/(-170)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1122401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (32\/(-30))\/(-8) - 41799\/(-45) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/405 and 7\/3.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 11*x**2 - 8*x + 15. Let t be p(-10). Let r be (-2)\/t + 60\/(-25) + 12. Is 16 a factor of ((-4)\/(-10) - (-4)\/r)*100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 0.3, 1, 102\/19?\nAnswer: 102\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(200)\/sqrt(4) + 3)*5)**2.\nAnswer: 27000*sqrt(2) + 53100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2c51a3b + 5?\nAnswer: -2c51a36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 e when three letters picked without replacement from eexx.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 913 and -468980423.\nAnswer: -468979510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 634857 to the nearest integer?\nAnswer: 797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/3 + (-21)\/(-9). Solve 8 = 4*c - 3*p + p, -c - g*p + 2 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1037 + 1050. Let g(v) = -v + 7. Give g(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 12*a**2 + 20*a - 20. Let m = 80 - 80. Let i be 1*(m + 14 - 1\/1). What is the units digit of s(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -360 divided by -31024\nAnswer: 45\/3878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q**2 - 54*q + 42. Let i(m) = -2*m**2 + 36*m - 28. Let k(o) = -5*c(o) - 7*i(o). What are the prime factors of k(12)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -33*h - 5078 + 4319 for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.7088455 milligrams?\nAnswer: 0.0000000007088455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 719*a - 591*a - 896 = 0 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -4*y - 6 - 4, -12 = -4*w + 4*y. Let g(n) = -n**2 - 4 + 224*n - 235*n - 11. Let x be g(-2). Sort 9, x, w in descending order.\nAnswer: 9, x, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39583 by -18.\nAnswer: -39583\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*f + 2*f + 168. Suppose 0 = -3*m + 17 - 47. Let t = m + f. Calculate the remainder when t is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from {g: 1, k: 11, p: 2, t: 2, q: 3}.\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 41 = -16. Let r = -746 + 751. Suppose 0 = 4*u - 12, 2*y + r*u + s = 62. Solve 17 = -4*l + 5*b, y = -5*l - 4*b + 3*b for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 1 + (-2 - -3) - 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73533*p**2\/11 + 147077*p\/11 + 2 = 0 for p.\nAnswer: -2, -11\/73533","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 3 + 3)*(1 + 5 - 5 + (-2 + 4 + 0)*(-3 + 1 + 1) + 3 + 1 - 6 + 1 + 0 - 3).\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 16*i**2 + 17*i - 20. What is u(15)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 659?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -6, -13, 3, 264, 43 in decreasing order.\nAnswer: 264, 43, 3, 2, -6, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of j**4\/6 + 203*j**2 - 4. Let i(u) = 83*u**2 - 11*u. Calculate l(i(x)).\nAnswer: 332*x**2 - 44*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/84662? (a) 0.5 (b) -6 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-4)*2 - (-2 + -1). Suppose -5*m + 70 + 110 = z. Let k = m + -13. Does 8 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - m - 7, 5*m = 3*l - 6 - 11. What is the remainder when (l - -44)\/(6 + -5) is divided by -22*((-3)\/(-6) + -1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 3157\nAnswer: -5\/3157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*t - 3 = -57 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.05 + -0.05. Let z = y - -0.1. What is the biggest value in -3\/4, 2\/9, z?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1825 and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-6) + 5\/(15\/18). Suppose 0 = t*q + q - 642. What are the prime factors of q?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zgrz when four letters picked without replacement from {i: 2, g: 1, o: 1, z: 2, b: 2, r: 1}.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-3\/4)*b)\/b)**(1\/12)\/(b**3*b)**(-3) assuming b is positive.\nAnswer: b**(191\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*y = -29, 0 = -0*p - 3*p + 3*y + 24. Suppose -20 + 0 = -p*t. Suppose 16 = -r - t*v, 5*r + v - 7 - 8 = 0. Is 3 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*v + 1782 - 17423 - 6550 = 0. What is the remainder when v is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3, 0.1, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i - 1909 = 2955. What are the prime factors of i?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.252269 to one decimal place.\nAnswer: -14.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 228189517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 35834022341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1903 + -1075. Does 6 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/9761 + 6666737\/253786. Let o = w + -23\/13. What is the common denominator of o and 27\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4*z - 2*p - 10 = 0, 0 = -2*z + p - 1. Let l be -3 - (1\/z - 4). Suppose 3 = 5*w - 2*w. Which is smaller: l or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a year?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o - 120141 = -10*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 943 and 200.\nAnswer: 1143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1382542 and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 - 5*c + 5*c)*(10*c - 3*c + c).\nAnswer: -16*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/(-10) - (1 - 4) and 55\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 5109*o**3 - 7*o + 2. Let a be m(-11). What is a rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61920 = -4*a + 4*i, 0 = 7*a - 30*i + 29*i - 108354. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13594547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1265?\nAnswer: 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 9:35 AM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1711 is divided by 107?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.8 - 3.9. Let z = t + 0.1. What is the biggest value in z, 2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 11:40 PM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-1 - ((2 - 0) + -6))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 311, 334, 371, 422, 487?\nAnswer: 566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -4*f**3 + 6*f**2 - f - 5. Let l be 30712\/4537 - 3\/(-13). Let c(a) = -5*a**3 + 7*a**2 - 2*a - 6. Determine l*q(y) - 6*c(y).\nAnswer: 2*y**3 + 5*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2891551736 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -746e - -5?\nAnswer: -7469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -810, -197, 5, -3 in decreasing order.\nAnswer: 5, -3, -197, -810","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*l**2 - 632200*l + 541896.\nAnswer: -2*(l + 45158)*(7*l - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/3 (b) 3 (c) -1\/116 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 4. Let j = m - -1. Let p = 0.5 - j. Which is the third biggest value? (a) -0.2 (b) p (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/7 - (-13629)\/49.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14534 and 67262?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 19052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 563332 divided by -281666.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1960 - 1305. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 - 5*z + 1. Let t be g(8). Let v = -73 - t. Calculate the highest common factor of 150 and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -10*v**3 - 348*v**2 + v - 4. Let u(q) = -7*q**3 - 346*q**2 - 2. Give -2*h(n) + 3*u(n).\nAnswer: -n**3 - 342*n**2 - 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 619 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 868*h**2*n**3 - 3*h**2*n**2 + 19047842*h*n**2 + 48964*n**4 wrt n.\nAnswer: 5208*h**2 + 1175136*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 213785 - 70465. What is r rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -30718252 and 250967.2.\nAnswer: -30467284.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -6*u**2 - u + 11\/6*u**3 - 1\/12*u**4 + 0. Let f be t(9). Solve -4*j - f = 10 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3*p**2. Let i(b) = -17*b - 2. Let s(z) = z. Let t(y) = -51*y - 7. Let h(r) = -2*s(r) + t(r). Let d(x) = -4*h(x) + 14*i(x). Determine d(f(k)).\nAnswer: -78*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-8))\/((-6325)\/172040)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -6, -4*i + 30*b = 35*b + 203 - 432 for i.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + 5 + 34 + 13.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-35 + 13 - 33)*(2 - 6 + 2 + 0 + 3 - 2 + (0 - 3 + 1)*(-2 - 1 + 2) + 15 + 2 - 9)*(-x**3 + x**2 - x**2) to v*x**2 + b + f*x + s*x**3 and give s.\nAnswer: 495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/90)\/(12\/10)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 + 798)*(-1)\/11. Let f = 15605\/198 + v. Find the common denominator of 143\/24 and f.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuuuubuuuuuuuuu. What is prob of picking 2 u?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -656 (base 10) to base 11.\nAnswer: -547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**6*b\/b**(-1\/3)*b**(-6)\/b**(8\/3))\/((b**1)**(-1\/6))**(-49) assuming b is positive.\nAnswer: b**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247757 is divided by 148?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 20717 to the power of 1\/2, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38*q**5 + 26*q**4 + 2*q**3 - 212081*q**2.\nAnswer: 2280*q**2 + 624*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6 or 4973?\nAnswer: 4973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 52515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 496*y - 1277 - 1754 - 1219 + 1274 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 102 - 115.4. Let u = o - -6.4. Let r = -4 - -8. Put u, r, 2\/9 in decreasing order.\nAnswer: r, 2\/9, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1012023 is divided by 337228.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -3\/50 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/13*w**2 + 8\/13*w - 8\/13.\nAnswer: -2*(w - 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18169801.0541 - -18170845. Let j = o - 1044. Round j to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9268067\/4 or 148?\nAnswer: 148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -11, -15, -21, -29, -39, -51?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 4*q - 6 = -15, -2*q + 6 = 2*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93415 = -3007*r - 50921 for r.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17082?\nAnswer: 2, 3, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*r**5 - 21314*r**4 - 3*r**3 + 17928*r**2 + 266*r wrt r?\nAnswer: -120*r**2 - 511536*r - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 113130?\nAnswer: -113127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of c**6\/60 + 67*c**5\/20 + 253*c**4 + 24200*c**3\/3 + 42592*c**2 + 15*c - 9. Find r such that m(r) = 0.\nAnswer: -44, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1100 + 1100 - 357*d.\nAnswer: -357*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 - -71. Suppose 5*r = 3*r + o. Suppose 0 = 2*z - 4*b - 4, 3*z + 3*b + 15 = 6*z. What is the remainder when r is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21\/6)\/((-119)\/(-170))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 83*b**3 - 84*b**3 + 19*b**4 + 13*b**4 in the form g + k*b + j*b**2 + p*b**3 + a*b**4 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 2)*(6 - 72\/16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1831280171?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dld when three letters picked without replacement from lhdhhdhhhhhlhlhlhhlh.\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.900598994 to four dps.\nAnswer: 0.9006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + g + 97. Calculate q(-11).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 34*c - 12*c - 12 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74204 is divided by 96.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 28. Let m = 27 - i. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -15*t**2 - 4165*t + 1374. Give g(-278).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/12)\/(66\/18)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**2 + 42*w + 48. What is c(22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.559 rounded to 1 decimal place?\nAnswer: 16.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 44, 0.2 in decreasing order.\nAnswer: 44, 2, 0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k**2 - 2*k + 1. Let a be x(1). Let b(l) be the first derivative of 1 + 15*l**a - 15*l**2 - 4*l - l**5. What is the derivative of b(n) wrt n?\nAnswer: -20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3*m - 1 = 0, 7*o - 2*o - 40 = -4*m. Solve o = 4*i, -t - 3*i = -4*t - 9 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3599480 a multiple of 580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a milligram in micrograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 4, 4*t + 5 - 1 = -k. Suppose t*h - 4*h = -14876. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + -2 + 2 + 1. Suppose -2*b - a*b - 5 = 0. Let s be b\/6 + (-15)\/(-36). Which is bigger: -3 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -79 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - 3) + (11 - 12)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 59 = -c - 5*o, -2*c + o - 118 = 0. Let x = 42 + c. Let w = 29 + x. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13317 is divided by 5536.\nAnswer: 2245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-528)\/(-77))\/(-12))\/(-3*(-5)\/(-7)).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = k + 4 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of 7*k**2\/2 - 11. Let p(m) = -51*m + 1. Let g(r) = 60*r - 1. Let l(y) = 4*g(y) + 5*p(y). Calculate 5*f(n) + 2*l(n).\nAnswer: 5*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s + 2. Let t be o(2). Let a be t + 2\/32*-2. What is the second smallest value in -1, 1\/4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 130.8379 - -0.1621. What is the biggest value in u, 5\/3, 2\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -6*t - 13. Let s(f) = 23*f - 227. What is h(s(p))?\nAnswer: -138*p + 1349","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, e: 2, d: 2, t: 1, v: 1, a: 1}. Give prob of sequence eq.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -36, -13, 70, 243, 536, 979?\nAnswer: 1602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2541 - 35.\nAnswer: 2506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 39277143 and 26184762.\nAnswer: 78554286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -4 + (1 - 26) + -146 + 151.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (-10 + -3 + 12 - -1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26701658.\nAnswer: 2, 13350829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -0.3, 1, 1193 in decreasing order.\nAnswer: 1193, 3, 1, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 5*h**4 - 3*h**3. Let g(t) = -11*t**4 + 0*t**3 + t + 7*t**3 + 0*t. Let r(l) = 3*g(l) + 7*i(l). What is the second derivative of r(u) wrt u?\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3971 from 0.276.\nAnswer: 3971.276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001231 to 5 decimal places.\nAnswer: 0.00123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -1 + 7 + -1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224 = -5*h - 3*o, 5*h - 423*o - 206 = -420*o. What is the remainder when (-2)\/3 - 1804\/(-6) is divided by h?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g - 25 = -2*g, -3*p + g + 20 = 0. Let s = p + -2. Solve 2*u - s = -3*j - 5, -3 = j + 3*u for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -287 + 313.5. Let w = u + -26.500132. What is w rounded to 5 decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 g when three letters picked without replacement from dgftgt.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c - 5. Let d be y(-8). Suppose 2*m + 1 = -3*h, d*h = 4*m - 0*m - 43. Solve -5*i + m + 3 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2319 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + -1. Let i be (-6)\/4*(s - 0). Let v be ((-50)\/(-3))\/(i\/(-900)). Round v to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -249781 divided by 15.\nAnswer: -249781\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from eeeeeeeeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**4 - 634542*d**3 + 33550456287*d**2 + 335552155020*d + 838920048300.\nAnswer: 3*(d - 105762)**2*(d + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -44 + -242?\nAnswer: -306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of x**3 + 21*x**2 + 922*x wrt x.\nAnswer: 6*x + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}