diff --git "a/data/dm_maths/full_data_2/10220_11255.jsonl" "b/data/dm_maths/full_data_2/10220_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10220_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose 0 = 4*n - 3*n + 6. Let t(b) = -2*b - 3. Give t(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -179 + 179.364. Let t = p - -0.036. Which is the closest to -0.01? (a) -1\/4 (b) t (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 16)\/(-3)*((-220)\/8)\/55.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/5 and ((-144)\/84)\/((-50)\/(-56)).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -925900 to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*d - 999 - 822 = -469 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 64445 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2617681692 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14 - -24628664?\nAnswer: 24628650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 12*p**4 - 3872*p**3 - 12*p**2 + 11532*p - 7680. Let d(f) = 2*f**4 - 8*f**3 + f. Let r(q) = 4*d(q) - z(q). Suppose r(a) = 0. What is a?\nAnswer: -2, 1, 960","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 319575 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/((a*a\/((a**12*a)\/a))\/a*a))\/(a*a**7*a) assuming a is positive.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7796 or 7791?\nAnswer: 7796","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 2. What is the third derivative of 0*r**2 + 0*r**m + r**4 - 4*r**4 - 3*r**2 wrt r?\nAnswer: -72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 601 = 16*m - 279. Calculate the highest common divisor of m and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -3. Suppose -n*s = s. Solve s = f - 5*q - 3, -4*q - 5 = -2*f + 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -v**4\/6 + 688*v**3\/3 + 41969*v**2\/2 - 127969*v\/3 + 64328\/3 = 0.\nAnswer: -88, 1, 1462","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -16989060 greater than or equal to -16989059?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/58944 and 79\/594352.\nAnswer: 7132224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of -t**8\/336 + 299*t**7\/210 - 22499*t**6\/120 + 22201*t**5\/60 - 4*t**2 - 324. Factor q(f).\nAnswer: -f**2*(f - 149)**2*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 q, and 1 g when three letters picked without replacement from qqooqopwqpawaqqaqgw.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 54, 19614, 1, -3 in decreasing order.\nAnswer: 19614, 54, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6473 + 142437\/22. Let c be -1 + 522\/(-3) - -1. Calculate the common denominator of (3\/9)\/((-20)\/c) and u.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.28585 + -0.18585. Which is the second biggest value? (a) 2 (b) n (c) 991.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 6:43 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(52) + sqrt(1300)) + sqrt(52))*5)\/(-1*sqrt(196)*4).\nAnswer: 115*sqrt(13)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -68 - -614\/9. Put 0.22, 3, b in decreasing order.\nAnswer: 3, b, 0.22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*(-4)\/44)\/((-1308)\/(-47960))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*a**5 + 7*a**3 + 185*a wrt a.\nAnswer: 140*a**3 + 42*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -22.9125291 and 336.\nAnswer: 313.0874709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9512775 is divided by 4145?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1312326, 1312323, 1312318, 1312311, 1312302?\n\"Answer: -v**2 + 1312327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 158542913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23611 is divided by 246.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -4. Suppose p*s - 14 = -4*a, 0*s - 10 = -s - 4*a. Let l be s\/(-12) - 6\/(-9). What is the third biggest value in 0.3, 2\/13, l?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/4 - 59*f**2\/4 + 69*f - 81.\nAnswer: (f - 54)*(f - 3)*(f - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - sqrt(28))*4 + sqrt(7)*1 + 4)**2 + -4*2*(sqrt(7) + -1) + -3.\nAnswer: -32*sqrt(7) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**5*a)**37 assuming a is positive.\nAnswer: a**222","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/18)\/(4\/(-12))*-33. Suppose 5 = 3*f + k. Let n(x) = -x**2 - 4*x - 2. What is n(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -58620000 to the nearest one million.\nAnswer: -59000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63100.3 minutes to milliseconds.\nAnswer: 3786018000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r - r + r)*(-2115 + 4234 + 222*r - 2119).\nAnswer: -444*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((12\/(-154))\/(321\/15729))\/(2\/(-11))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z + 2*z - 2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, -2\/3, 0.5, 23 in decreasing order.\nAnswer: 23, 0.5, -2\/3, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-440)\/(-70))\/(-11))\/(-3*44\/42).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 439123?\nAnswer: 439123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/4*(-372)\/(-62).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19061671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -382 = -2*g - 4*l, -g - 3*l - 5 = -198. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68642, 68446, 68250?\nAnswer: 68054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4578034?\nAnswer: 2, 53, 43189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 3*j - 29 = 0, 2*l + j + 5 = -0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40\/3*c**2 + 192 + 72*c - 2\/3*c**3 = 0.\nAnswer: -24, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 732 - 5126\/7. What is the nearest to s in 113, -0.5, 0.4, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 1153 = -4*u + 3*z, -4*u + z = 2301. Let n be -3 - (u\/(-5))\/(-5). Which is the closest to n? (a) 0 (b) -2\/9 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74435 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -77, -2, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 78*t**2 + 470*t + 12. Let y be q(-6). Solve -12 = -3*s + 4*n, y = -22*s + 26*s + n - 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - l + 14 = 0, -2 + 0 = -2*q - 4*l. Suppose -3*x + q*o + 774 = 0, -5*o = 2*x - 132 - 363. Is x\/6 + (-3)\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-2)*4 + -2. Let m be ((-8)\/z)\/(1\/(-3)). Put -2, m, -5, 2 in increasing order.\nAnswer: -5, m, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 5*i = 7, -2*t = -t - 4*i - 28. Let u be (14\/t - 1)*-4. Which is smaller: u or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 3*x - 5*l - 16, 0 = -2*x - 4*l + 4. Suppose -x*h = -5*h + 8. Solve a + a = h for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5300873 + 7480873. Round c to the nearest one hundred thousand.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/9061 - -607129\/190281. What is the common denominator of 11\/18 and r?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -138\/295 - -63\/59. Factor 0*q + 0 + f*q**2 + 0*q**3 - 3\/5*q**4.\nAnswer: -3*q**2*(q - 1)*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of (-28)\/(-28) - 20*2*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -1010.\nAnswer: 2020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 4)*(-462*c - 41 - 10 + 317*c).\nAnswer: 145*c + 51","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (100\/(-550))\/(6\/(-2244)). What is the highest common factor of 48212 and b?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 22*s**2 + 2*s - 2. Let w = 52 + -51. Is 4 a factor of q(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 957021, 3828026, 8613023, 15312012, 23924993?\nAnswer: 34451966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 10*l**3. Suppose 0*x - 5 = -5*x. Let w be h(x). Let c be ((-5)\/(-2))\/(7\/252). What is the highest common divisor of c and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12\/5 - -64\/35. Suppose -1 - 5 = 3*q. Which is smaller: q or k?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-2) + -1)*(-4762)\/(-4). Suppose 4*w + 1 = l. Is 17 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -285*m + 56*m = -11872 - 952 for m.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**4 - 2*m**4 + 0*m**4 + (-m**2 - 3*m**2 + 3*m**2)*(-3*m**2 + 3*m**2 + 2*m**2) + (-m**2 + 3*m**2 - 4*m**2)*(-m + m - 2*m**2).\nAnswer: 3*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0024902385 rounded to 7 decimal places?\nAnswer: -0.0024902","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*y + 4*f + 11 = -17*y, -15 = -2*y - 5*f. Solve 4*b + y = 9*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-9)\/(-3))\/(210588\/(-210597) + 1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*q - 33*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 7*g + 5*g + 8, -5*t - 2*g = -17. Solve -5*q + 25 = 0, -2*y + t = 13*q - 14*q for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of d**6\/60 - d**5\/60 + 5*d**4\/24 - d**3\/6 - 1074*d**2. Let y(s) = s**3 + 3*s. What is -5*y(p) + 3*z(p)?\nAnswer: p**3 - 3*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 31, 51, 99, 187, 327, 531, 811, 1179?\n\"Answer: 2*a**3 + 2*a**2 + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(1\/2)*p))**49 assuming p is positive.\nAnswer: p**(-147\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36486.\nAnswer: 2, 3, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19*c**2*z - 3018*c**2 + c*z + 148*c + 8*z + 1 wrt z.\nAnswer: 19*c**2 + c + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 295353264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 12:09 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, l: 1, d: 1, u: 1, c: 5}. What is prob of picking 1 u and 2 c?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zc when two letters picked without replacement from {v: 4, c: 1, z: 3}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/27 and -47\/93.\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 9*x**2 - 23. Let r(d) = -318 + 330 + 60*d**2 - 65*d**2. What is -3*b(s) - 5*r(s)?\nAnswer: -2*s**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n - 6. Suppose -i - 1 = 2*a, -i + 21 = 2*i - 2*a. What is the units digit of y(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 342 and 2928546?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 12 + 13 = 0, -5*m = 2*p - 10. Solve m = 6*h - h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239*d + 664 = -191*d - 131*d for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -54*t**6 - 6*t**3 + 2*t**2 - 98*t wrt t?\nAnswer: -6480*t**3 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-4 - 2)) + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-200)\/(-1400)*(-70)\/(-8)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81495863 is divided by 20?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -548*j - 456 + 456 to the form i + l*j and give l.\nAnswer: -548","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 5*u - 1 - 25 = 0, 4*j = 2*u for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uiu when three letters picked without replacement from {i: 1, u: 7, x: 10}?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59, -67, -75, -83?\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 5*u**5\/2 - 15*u**4 - 570*u**3 + 4225*u**2 + 21615*u\/2 - 54450 = 0.\nAnswer: -15, -4, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -92099.17157 and -44.7.\nAnswer: -92143.87157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-77)\/252)\/(1\/(-4)) and (-546)\/72 - 2\/(-4).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.5, -7, 1.31, 10, 28?\nAnswer: 1.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s + 8. Suppose -16 = 4*l - 0*l. Let q be t(l). Suppose q*m - 117 = n, 51 = 2*m - 5*n - 30. What is the greatest common divisor of 14 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - 4*u - 3*u)*(-5*u + 2*u + u) + 3*u**2 - 3*u**2 + 2*u**2 + (13*u - 14*u + 12*u)*(-2*u - 2 + 2).\nAnswer: -14*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/2640 and -211\/2288880.\nAnswer: 2288880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1068493 is divided by 1068135.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 238450 by -10.\nAnswer: -23845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*d - 301 = -109*d + z, 4*d + 3*z = 237. What is the greatest common divisor of d and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f - 3*f = -3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5527462 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -254220820 and -762662462\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 = 2*j - 3*n - 657, -j + n + 246 = 0. What are the prime factors of j?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b = -2*b + 132. Calculate the highest common factor of 8 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.8 + 7. Which is the smallest value? (a) -1\/3 (b) -3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 12) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 48\/5 of a century?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 62*v + 301. Give w(-4).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1015248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3376, 6764, 10152, 13540, 16928, 20316?\n\"Answer: 3388*c - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + sqrt(77)*5*2)*5)\/((sqrt(1584) + (sqrt(1584) - sqrt(1584)*-2))*-6 + sqrt(1584)).\nAnswer: -55*sqrt(7)\/276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - (2 + -1))\/((-4)\/(-20)). Solve -3*i = -i + j*m - 15, 0 = -3*i - 5*m + 20 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 676*m**3 - 79*m**3 + 427*m**3 - 36*m**3.\nAnswer: 988*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10330?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20659*j**4 + 3*j**2 - 3*j - 239 wrt j?\nAnswer: -495816*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 455.\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -811139.4 minus 18.772?\nAnswer: -811158.172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 113, 98, 81, 68, 65, 78, 113, 176?\n\"Answer: z**3 - 7*z**2 - z + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1)\/x)\/x)**(11\/4) assuming x is positive.\nAnswer: x**(-33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 287 a factor of 22099?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 2*c**2 - 3*c + 2. Let y be u(-3). Suppose 11 = -3*m - 4*s + 29, 8 = m + y*s. What is the units digit of 14\/((1 + m)\/3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1778093*j - 1778093*j + j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -319*y - 18724 - 1692 = 0 for y.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhl when three letters picked without replacement from hhrhhrlllh?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -200, -245, -290?\nAnswer: -335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-5))\/((-3)\/15). Let m = d + 8. Is (-3 + m - -157) + 1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.2 (b) -7\/5 (c) 4\/5 (d) 152\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7252904?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 12\/5 (b) -4\/5 (c) 6816498\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-163*u**4 + 5274*u**2 + 10*u - 5274*u**2)*(-3*u + 4*u - 3*u) + 4*u**5 + 2*u**5 - 7*u**5.\nAnswer: 325*u**5 - 20*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/14104804 and 31\/210.\nAnswer: 211572060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 d when two letters picked without replacement from {d: 4, l: 2, k: 1, t: 6}?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*q*z**3 + q*z**2 - 20*q*z + 2*q - 3*z**2 wrt z.\nAnswer: 30*q*z + 2*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 271010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 181 + -123. Let p = 53 - x. Which is the closest to -7\/5? (a) -4 (b) p (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, n: 1, g: 8, t: 1, y: 1, v: 1}. What is prob of sequence twgw?\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 112881765 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of -c**4\/8 + c**2. Suppose -5*g = -79 + 64. Let t(z) = 10*z - 3*z - 7*z - g*z. What is n(t(p))?\nAnswer: 9*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/40 and -71\/220.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 258, -1, 2 in decreasing order.\nAnswer: 258, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48162 is divided by 47?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2990 and 728.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2096*i. Let a be t(-1). Suppose -9*f - a = -11*f. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10484 divided by 2621?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 14655 divided by -3\nAnswer: -4885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -2 (b) -1267\/5 (c) -42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -178, -175, -172, -169?\nAnswer: -166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110 = -3*j - 19*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r*r\/(r*r*r\/r**(1\/7)*r)*r**(-9\/5) assuming r is positive.\nAnswer: r**(-93\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**2)**(-3)*(w**(-3)*w)\/(w\/(w**(3\/11)*w)))**(-1\/5) assuming w is positive.\nAnswer: w**(17\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 464 - 434. Suppose 5*z - 2*q + 23 = t, 5*z + 4*q = 31. Solve 15*l = z + 12 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -68.25 and 3233?\nAnswer: -220652.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-219)\/6*(3599 + -3597)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 0.6 (b) 0.3774 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4231.2kg in micrograms?\nAnswer: 4231200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2 = 3*z - 1, 0 = -z - 2*d - 11. Let u = 10 + -8. Let y = u - 1. Sort y, -4, z in ascending order.\nAnswer: -4, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34032 and 88188?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -4*r + 3*y, 5*r + y - 40 + 10 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219744 is divided by 583.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 10100101010100000100110?\nAnswer: -10100101010100000101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 35 = 2. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 12*g**3 - 47*g**2 + 410*g - 25. Let n(m) = -m**3 + 4*m**2 - 33*m + 2. Let f(c) = 2*k(c) + 25*n(c). Let i be 1*8\/10*5. What is f(i)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -503, -3 in decreasing order.\nAnswer: 1, -3, -503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 845803?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 106041829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*p + 99 = -39*p. Does 9 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-6\/11)*j)\/(j**(-7)\/j) assuming j is positive.\nAnswer: j**(104\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.3 - -7.7. What is the second biggest value in -0.4, y, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1742 and 5?\nAnswer: -8710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 2:04 PM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of j**2\/2 - 1780. Let t(w) = 6582*w. Give f(t(x)).\nAnswer: 6582*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1553 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: Suppose 2*i = 3*i - 4*o - 7, o + 2 = 0. Let u(m) = 7*m**3 - m**2 + m + 1. What is u(i)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2644, -6042, -9734, -13714, -17976, -22514, -27322, -32394?\nAnswer: -37724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 111374, 111373, 111372, 111371, 111370?\n\"Answer: -k + 111375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107722476 divided by -4.\nAnswer: 26930619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) - 3*sqrt(121)*-2 - (6*(1*sqrt(121) + sqrt(121)) + sqrt(121)))\/(sqrt(33)\/(sqrt(3) - (sqrt(75) - sqrt(3)))*4))**2.\nAnswer: 891\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**3 + 40*s**2 - 250*s - 27. Let c be k(-25). Let a(q) = -16*q**2 - 2*q + 2. Let j(n) = -207*n**2 - 27*n + 27. What is c*a(h) + 2*j(h)?\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 20, -9*m - 53 = 439*o - 437*o for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -291, -639, -1015, -1431, -1899?\n\"Answer: -2*g**3 - 2*g**2 - 328*g + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 125559373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = w + 10, 0 = -0*r - r + 3*w - 9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21*1.9.\nAnswer: -39.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -2*a - 3 - 2, -a = -z + 4. Let b be 115\/25 - (16\/10 + -2). What is the closest to a in 0.5, -5, b?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 180824224 to the power of 1\/3, to the nearest integer?\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 43 in decreasing order.\nAnswer: 43, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 8:17 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/(b*b\/b**(-7\/4)))\/b)\/((b**(3\/2)*b)\/b))\/(b**(-2\/11)\/(b*b\/(b**(3\/2)*b))))**10 assuming b is positive.\nAnswer: b**(-1225\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 139 + -136. Let h(s) = 20 + v*s + 16 - 33. What is h(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3251066093?\nAnswer: 11, 47, 83, 239, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -30577123 take away 0.56243?\nAnswer: -30577123.56243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - f - 5. Let n be q(-2). Let c be (-13 + 8 - -9) + (-3)\/n. Which is bigger: -4\/41 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 87*m + 1 + 91*m)*(0*m + 5*m + 0*m) in the form y + d*m**2 + o*m and give d.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 34\/(-6) + 5\/(-15). Let y(q) = 3*q**3 - 17*q**2 - 17*q - 17. Let s(p) = p**3 - 6*p**2 - 6*p - 6. Give l*y(d) + 17*s(d).\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -3, 11, 41, 93, 173, 287?\nAnswer: 441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(405) - (sqrt(405)*1 + 3)) + -5 + -2 + -5)*-6)**2.\nAnswer: 8100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2200935779 and 301.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -520*c**3 - 50*c**2 + 1945*c**3 + 50*c**2.\nAnswer: 1425*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 2385 + 1199 = -4*h - 1142, -4*h + 10*w = -4*h + 10 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71280 = -138*g - 687*g - 471*g for g.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 799 (b) 7 (c) 0.3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.09 - 3906137599692.\nAnswer: -3906137599691.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -19*t + 17248. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 297494993?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31503585.\nAnswer: 3, 5, 2100239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167586119.\nAnswer: 17, 23, 113, 3793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 823*p**2 - 25*p - 48. What is the thousands digit of h(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/2)\/(-2)*0. Let j = 14 - 73. Let q = 62 + j. Solve b = 2*x - 3*x - q for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(-10)*(-1)\/2. Let s(t) = t**3 + 4*t**2 + 4*t + 3. Let z be s(-3). What is the closest to w in z, 0.4, 0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1624 - (3 + -1)\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 37 = -3*x, -41*x + 45*x = -4*k - 36 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -6*t**2 - 393*t - 206. Let n(p) = 39*p**2 + 2751*p + 1440. Let x(w) = -27*i(w) - 4*n(w). Suppose x(r) = 0. What is r?\nAnswer: -1\/2, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -297685465790710 - -3?\nAnswer: -297685465790707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-150)\/(-20)*(-16)\/(-40)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18\/48*-4*2\/3. Is s bigger than -2\/45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 193727 + 81.\nAnswer: 193808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - 3534\/247 - 7.\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 246\/410*40\/6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/90 and 13\/27660.\nAnswer: 82980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.02, 7.3, -2, 4\/5 in ascending order.\nAnswer: -2, 0.02, 4\/5, 4, 7.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -102 + 2?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57866277.\nAnswer: 3, 7, 1427, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 12272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*k**4 - 935*k**3 - 16970*k**2 + 367640*k = 0. What is k?\nAnswer: -28, 0, 13, 202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 657\/(-511) + (0 - -1). Which is the nearest to s? (a) 5 (b) -3\/4 (c) 2\/3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 432 = 5*q, q - 5*i = 2*q - 81. Suppose 2 = -2*s, 5*t - 3*s = -2*s + q. What is the second derivative of 3*x**3 - 6*x - t - 9*x**3 + 17 wrt x?\nAnswer: -36*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 26*g**2 - 29*g + 54. Let f be z(27). Sort f, -5, 6, 3 in descending order.\nAnswer: 6, 3, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44900319?\nAnswer: 3, 1627, 9199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7919, -7922, -7925?\n\"Answer: -3*n - 7916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 169326 - 33?\nAnswer: 1692a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) - ((sqrt(243) - (sqrt(243)*-1*-2 - sqrt(243))) + sqrt(243))) + 2 + sqrt(3) + -3 + 6*(-2 + sqrt(3)).\nAnswer: -13 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 173, 152, 95, -16, -199, -472, -853?\nAnswer: -1360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6313 is divided by 6308.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 421 - -12. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*y**3 + y**3 - 3*y**3)*(0*y**2 - 4*y**2 + 14*y**2) + 31 - 31 - 2*y**5.\nAnswer: 38*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 + 44 + 12 + -21?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*q = -20, 5 = -0*u + 5*u - q. Let y(s) be the third derivative of 3*s**2 + 0*s + 1\/9*s**3 + 0*s**5 + 1\/24*s**4 - 1\/360*s**6 + u. Factor y(c).\nAnswer: -(c - 2)*(c + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 3*r + 1 = 0, 0*r + 3 = -r. Suppose -2*v = f - 15, 2*v + x*v - 2*f - 50 = 0. Suppose 0*u + u - v = 0. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**2 - 767*u + 1535. Let x be g(2). Which is the closest to 0.1? (a) -1\/5 (b) 4 (c) -2\/7 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a + 11. Let q be w(6). Suppose -10*c = -12*c + 8. Suppose 0 = -3*p - 0*p + 15, c*u + q*p = 37. Solve 5*i + 30 = -h, u*i + i = 4*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 6*r - 17. What is the units digit of t(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7062*z**3 + 2*z**4 + 3532*z**3 + 3529*z**3 + 78*z**2 + 1 as u*z**3 + a*z + w + h*z**2 + j*z**4 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 564872564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207 is divided by 32.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38 + 43. Suppose 2*d - 335 = j*l - 3*d, 3*l - 4*d + 205 = 0. Let y = 74 + l. Calculate the greatest common divisor of 44 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 + -68\/3. Let w be (-6)\/(-4)*68\/(-714). Which is the nearest to 1? (a) w (b) 2\/11 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y - 2*y**3 + 4*y - y**3. Let s = -33 - -22. Let v = -26 - -24. Let o(k) = 16*k**3 - 11*k. Determine s*t(d) + v*o(d).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 9*w + 1. Let v(a) = 3*a + 10. Let l(c) = 8*c - 29. Let o(u) = l(u) + 3*v(u). Calculate 6*o(h) - 11*p(h).\nAnswer: 3*h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -13000?\nAnswer: 12330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1417 - 58307?\nAnswer: -56780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 13 + 5. Let i be (1 + -1)\/t + -6. Let l(m) = -2*m + 3*m**2 - 2*m**2 - 4 + 9*m - m. Give l(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(2299) - 2*(sqrt(2299) + 1) - (sqrt(2299) - (sqrt(2299) - -4*(sqrt(2299) - (sqrt(2299) + 0))))))**2 + 3.\nAnswer: 1100*sqrt(19) + 57578","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25.474 - -30.55. Let w = s - -0.024. What is w rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -176*x + 33. Let m(k) = 11*k - 2. What is -33*m(p) - 2*z(p)?\nAnswer: -11*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 6:32 AM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(-5) - (-8)\/(-40).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 149 + -121. Suppose -p - 1 = -4*x + 3*l, 0 = -3*l - 9. Suppose x*z + 10 = 0, n - 4*z + 10 = 360. Calculate the greatest common divisor of n and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -7\/3 (b) 0.3 (c) 5 (d) -12 (e) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4780561 is divided by 24?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 32\/5 (b) 3 (c) 0 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 AM and 5:38 AM?\nAnswer: 143","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 503364 is divided by 423.\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2523358716 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t - 33. Let a = -2287 + 2308. Determine r(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-10))\/((-2)\/(-8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4142)\/(-218))\/((-11)\/12 + 1). What is the greatest common factor of 76 and d?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/7)*n)**2)**(-1\/3) assuming n is positive.\nAnswer: n**(-4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10792183*z**2 - 3443206*z - 2 wrt z.\nAnswer: -21584366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n*n**(-3\/19)\/n*n)**(-33))**(-11))**(-15\/2) assuming n is positive.\nAnswer: n**(-190575\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12.67 - -13.08. Which is the third biggest value? (a) -4 (b) 0.04 (c) 0.3 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(-1\/8))**(-2\/49)\/(y**(-4)*y*y)**(-8))**(-1\/5) assuming y is positive.\nAnswer: y**(3151\/980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1370 plus -3652?\nAnswer: -5022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/4 and 79\/1758.\nAnswer: 3516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1017 from -35685.\nAnswer: -34668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - p = 20. Suppose 6*n - 3*t = n + 7, 2*n = -2*t - p. Let q be (12\/27)\/((-10)\/3). Which is greater: n or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-2 + sqrt(684))**2 - sqrt(684)) + 2 + (1*(sqrt(684) - (sqrt(684) + 1)) - (1*sqrt(684) + -2)).\nAnswer: -36*sqrt(19) + 688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-9) - 32\/(-18). Suppose 0 = 5*l + h*q - 236, 4*l - 2*q = 42 + 136. Suppose -3*o + 2*o + 89 = 0. Calculate the remainder when o is divided by l.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-1 - 4) - (-5 - 17).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 4*f - 4. Let p be k(6). Suppose 338*c = 335*c - 6. Let v(b) = b**2 + 3*b + 6. Let h be v(c). Calculate the highest common factor of p and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90.39664 millennia to years.\nAnswer: 90396.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4\/9, -12, 5?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -265 + 270. Suppose 3*k = p*o + 1378, 5*k - o - 179 = 2081. What are the prime factors of k?\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2155753?\nAnswer: 17, 173, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -182*u**2 - u**3 + 106*u**2 - u**3 + 80*u**2.\nAnswer: -2*u**3 + 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 1.8. Suppose 335*k = 338*k + 9. Which is the second smallest value? (a) -2 (b) v (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(143) - (sqrt(143) - sqrt(143)*-1)) + sqrt(143))*-3)\/(sqrt(66)\/(sqrt(24)\/sqrt(4))*2).\nAnswer: -15*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29*s**3 - 19*s**2 + 5 + 1 - 6 wrt s?\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36 - 0. Let d = p - 42. What are the prime factors of 3\/9*(-216)\/d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 10*k + 9. Let c(x) = -2*x - 15. Let v be c(-13). Let b be l(v). Let r(a) = a**2 + a. Let t(w) = -4*w + 1. Give b*r(n) - t(n).\nAnswer: -2*n**2 + 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(720) + 1 + -4 - ((sqrt(720) - -1*sqrt(720)) + sqrt(720))*3) + -3)**2.\nAnswer: 11520*sqrt(5) + 1152144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**2 - 37*l**3 + 2*l - 5 + 37*l**3 + 7 - 6*l**4 - 13*l**2 as q*l**3 + g*l**4 + m*l**2 + x + o*l and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 23560913 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 18*n. Let b(l) = l**2 - 5*l - 5. Let j(t) = t**2 - 4*t - 4. Let d(h) = 4*b(h) - 5*j(h). Determine y(d(w)).\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/(-3) - (3 - 12355\/21).\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 10999995 = -4*s, s - 3*r - 2842654 = -92669. What is s rounded to the nearest one hundred thousand?\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(72) - (sqrt(72) + (sqrt(72) + sqrt(72) + sqrt(72) + sqrt(72)*1 - sqrt(72)))) + (sqrt(72) + 0)*4)**2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3078 - 3075. What is the closest to -0.1 in 1\/18, -48, a?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 + -10.3380129\nAnswer: -10.2680129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-102)*405\/9*(-6)\/(-30)?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/2 (b) -50 (c) 0 (d) 2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1d4 - 6cc?\nAnswer: -8c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 685 a factor of 127048462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12560*u**2 + 0*u + 2*u - 2*u + 12349*u**2.\nAnswer: -211*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3359 is divided by 57?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((-5*(sqrt(288) + -4 + sqrt(288) + -1))**2 + 2 + -3 + (2*sqrt(288))**2)*2 + 0).\nAnswer: -61152 + 12000*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 1:38 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 145 - 19. What is the derivative of -9 - 136*o**4 + v*o**4 - 6 wrt o?\nAnswer: -40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 29\/5 of a microgram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2509 = 120*b - 7036 - 4113 for b.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**4\/4 + 5*a**3\/2 - a**2 - 21*a\/2 - 27\/4 = 0.\nAnswer: -1, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 6*i**2 + 8*i + 8. Let t be v(-7). Suppose -3*b = 17 + t. Let f be ((-6)\/9)\/((-4)\/b). Which is greater: -2\/7 or f?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.312 - -3.64. Let o = j - 0.108. What is o rounded to 1 decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 359.58 and -1024222976?\nAnswer: 1024223335.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {w: 3, c: 1, z: 8, x: 5, y: 2}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -5*v**2 + 3*v**2 - 19*v**3 + 5 + 18*v**3 + v**2. Suppose 0 = q - 3*x - 2*x + 25, -3*x + 15 = 5*q. What is o(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107746?\nAnswer: 2, 17, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/9749 and -127\/6.\nAnswer: 58494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/5, -2\/13, 5.21?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 10*v - 381 = 0. Is v a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14842*j**3 - 784 with respect to j.\nAnswer: 44526*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/228895 less than -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -109120 - 411*f**3 + 109120 + (-5*f**2 + f**2 + 3*f**2)*(-3 + 3 - 2*f).\nAnswer: -409*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2598 is divided by 225.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 17\/4 of a micrometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -4*a**2 - 14*a - 11. Let t(k) = k**2 + 5*k + 4. Let f(s) = -2*m(s) - 7*t(s). Let l be f(7). Let g(x) = x**2 + 5*x - 2. Calculate g(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wlq when three letters picked without replacement from {l: 1, t: 4, m: 2, w: 8, u: 1, q: 2}?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Solve -451*d + 150822 = -1821*d - 1252*d - 106134 for d.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + -20812)*40\/(-120) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -71819, -71824, -71829, -71834?\n\"Answer: -5*d - 71814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -5*c**3 + 4*c - 3. Let d be b(1). Let i be (-2)\/(4\/148*d\/(-8)). Let t = i - -220. Is t a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(9\/(-2)))\/(28\/42)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m. Let v(o) = 6*o + 1. Let k(n) = -7*r(n) + 4*v(n). Suppose -4*i = w + 8, 3*i + 11 = -12*w + 10*w. Let s(d) = d + 1. Calculate i*k(x) + 4*s(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 7. Let a(r) = r**2 + 6*r + 4. Let n be a(i). Let m = -5 + n. Sort 0, -7, m.\nAnswer: -7, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - 34*s + 42. What is the hundreds digit of w(-21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**0*v)\/v)\/v)**(-33)\/(v**(2\/27)\/(v**(2\/9)\/v)) assuming v is positive.\nAnswer: v**(868\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*o**3 - 42*o**3 - 52*o**3)*(1 + o - 1) + (4*o + 2*o - 4*o)*(-6*o**3 + 4*o**3 + 0*o**3).\nAnswer: -72*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 7:39 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1684 - 1684.00000000755. What is x rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -41077112 + 739193795\/18. Let s = q + 10787. Find the common denominator of 25\/64 and s.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1506\/2611 + 2\/373. Sort b, 0.01, -1 in increasing order.\nAnswer: -1, b, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155*k = 178*k - 186047. List the prime factors of k.\nAnswer: 8089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 3\/(3\/(-4)). Let k be (-1)\/3 - 14\/(-6). Suppose k*a + 4*t + 15 = 5, 4*t + 30 = 2*a. Put a, 3, n in increasing order.\nAnswer: n, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12120335?\nAnswer: 5, 491, 4937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -37 (b) 0.3 (c) 4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3\/2 (b) -5\/26882 (c) 0 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 4*c**2 - 2*c - 2. Let z(l) = -l**3 + l + 1. Calculate -t(o) - 2*z(o).\nAnswer: o**3 - 4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a microsecond in nanoseconds?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4390.999992058 - -4391. What is u rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 122, 119, 116, 113, 110, 107?\n\"Answer: -3*h + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c\/(c\/((c**(-2)*c)\/c))*c*c\/(c**(1\/12)*c) assuming c is positive.\nAnswer: c**(-1\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**4\/r)\/r**(-1\/8))\/(r**8*r*r**(-9)))**(-4) assuming r is positive.\nAnswer: r**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + 7134774\nAnswer: 7134773.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/sqrt(8) + (sqrt(11) + -3)**2 + -2 - (0 + -1*sqrt(539) + (sqrt(539) - (1 + sqrt(539))) + 0)**2.\nAnswer: -522 - 39*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 50 + -7 - (0 - 2). Suppose 0*f + h = 3*f. Calculate the greatest common divisor of 15 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -306475 (base 8) to base 16\nAnswer: -18d3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 853, 658, 129, -902, -2603, -5142, -8687?\n\"Answer: -28*j**3 + j**2 - 2*j + 882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 971 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7826262.\nAnswer: 2, 3, 137, 9521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 404497823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6\/775 - 36281\/18600. Let l = h - -13\/8. Let v(u) = u**3 + 8*u**2 - u - 7. Let m be v(-8). Is l equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -1, -13, -41, -91, -169, -281?\nAnswer: -433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 10:09 PM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7\/2*(-2328)\/(-28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 128524589?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11594 and 33473.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.035 - -1.975. Let j = -0.06 - y. Let h be -3*(-1)\/(-6)*0. Which is the second smallest value? (a) h (b) j (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m - 53. Let q(a) = -172*a + 324*a - 164*a. Give q(p(n)).\nAnswer: 24*n + 636","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**2\/2 + 1284811*a\/2 = 0.\nAnswer: -1284811, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Is 440599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 451.1 rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 49913.13ug?\nAnswer: 0.00000004991313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 8*u**2 - 12*u - 6. Let x be a(-6). What are the prime factors of (4\/x)\/(8\/(-48))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2910639 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j**3 - 2*j**2 + 2*j. Let t(n) = -4*n**3 - 3*n**2 + 3*n. Let r(k) = -31*k + 91. Let m be r(3). Determine m*t(u) + 3*g(u).\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 4*y**2 + 3*y + 1. Let l be s(-2). Suppose g + 1 = l. Suppose -g*j = -342 - 496. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (92*q - 61*q + 44*q + (2 - 2 + 2)*(2*q + q - 2*q) + 2*q - q + 0*q)*(3*q**2 + q**4 - 3*q**2) + 54*q**3 - 54*q**3 + 10*q**5.\nAnswer: 88*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 20083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1994*b + 16650 - 142050 = 410*b - 314*b for b.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2 (b) 2\/29 (c) 0.2 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 94 - 38 = 0. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 106\/22 - (-6)\/33. Find the third derivative of -3*w**i + 4*w**2 + 29 - 29 wrt w.\nAnswer: -180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -51 (b) 7 (c) 39 (d) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 154362504?\nAnswer: -154362502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2739*o. Let w(a) = 39*a. What is w(q(h))?\nAnswer: -106821*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -723749 or -723747?\nAnswer: -723747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/4 of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k**5 - 16*k**3 + 635*k.\nAnswer: 40*k**3 - 96*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(12\/3)\/(-2). Let k be 2 - 15\/(3\/1). Sort k, x, 5.\nAnswer: k, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -3*y + y + 106, -4*n = -2*y - 230. Suppose 0 = -0*z - 5*z + a + 67, 4*z - 44 = 4*a. What is the highest common divisor of n and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 113*p**2 - p**2 + 35276 - 35472 with respect to p.\nAnswer: 224*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8773*k - 14886*k - 408608*k**2 + 408609*k**2 as g + u*k + f*k**2 and give u.\nAnswer: -23659","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = 13*o - 19*o. Find the third derivative of 0*h**6 + 8*h - h**6 - 101 - o*h**5 - 8*h - 3*h**2 + h**2 wrt h.\nAnswer: -120*h**3 - 1320*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 782 and 1.8123?\nAnswer: 780.1877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-10) - (-8)\/40?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 955*l + 17214. Let h be w(-18). Calculate the highest common factor of h and 7032.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - -6)*235\/5. Suppose 4*b = -5*c + 632, 5*c + j = 4*b - 357. Which is greater: b or 151?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 8) to base 11\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -56.79804 rounded to zero dps?\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9105 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 5*z - 25 = 0, -9*z + 6*z = -4*n + 15 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*t - 61. Suppose -2*d - 2 = -d + a, -3*a = 2*d + 4. Let h be 40\/(-12)*3\/d. Solve -t - 11 = h*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 6*y**2 + 8*y + 4. Let c(s) = -7*s**2 - 9*s - 5. Let n(v) = 2*c(v) + 3*k(v). Factor n(t).\nAnswer: 2*(t + 1)*(2*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/sqrt(300) - sqrt(15))\/sqrt(5).\nAnswer: -4*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.669 - -0.769. Let t = 15 + -14.988. Which is smaller: t or j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 54.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 509 - 1824?\nAnswer: -1318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -6*h**3 - 27*h**2 + 4*h + 3. What is the remainder when 345 is divided by g(-5)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 45*k - 443. Determine d(15).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12 - -4a?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1380398779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -41, -31, -21, -11?\n\"Answer: 10*z - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.24718cm?\nAnswer: 2471800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*b - 6. Let t(w) = -4*w**3 + 2*w - 1. Let v be t(1). Let u be (-18)\/v + b + -1. Solve 0 = 3*r - 0 - u for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (456\/12 - 41)*(-28)\/(-6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 308, 1169, 2594, 4577, 7112, 10193, 13814, 17969?\n\"Answer: -w**3 + 288*w**2 + 4*w + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.51 + -34.49. Let w = 38 + g. What is the nearest to -2 in 0.1, w, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146275 is divided by 61.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 337662480 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 330 a factor of 158070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13714984?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.686 to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -19722, -39426, -59130, -78834?\n\"Answer: -19704*j - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 6*c - 7. Let u be w(5). Let a = -13 + u. Calculate the lowest common multiple of 3 and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2052\/(-7)*(-322)\/69. Suppose 638 = 59*r - p. Calculate the remainder when 372 is divided by r.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 + 8*k + 88. Calculate the remainder when 357 is divided by f(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0301882315 to four decimal places.\nAnswer: 0.0302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 4596?\nAnswer: 1838.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1024, 1016, 998, 964, 908, 824?\nAnswer: 706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -6. Suppose -m = 3*m - 4*g + 24, 0 = -m + 2*g - 8. Calculate the remainder when 20 is divided by (5 + a)*(-14)\/m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 13 - 93. What is the units digit of (-494)\/(-10) - 8\/z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 170 and 510.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -7*p**2 + 25*p + 29. Let b(t) = 39*t**2 - 151*t - 173. Let q(r) = -6*b(r) - 34*g(r). Let q(w) = 0. What is w?\nAnswer: -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -7907098*z - 15814194. Calculate y(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-1\/20)*w)\/(w**(-2)*w)*(w*w**1*w)**(4\/19) assuming w is positive.\nAnswer: w**(1399\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 111354 and 33969.\nAnswer: 18818826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 13626415, 27252843, 40879271, 54505699, 68132127?\n\"Answer: 13626428*o - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2238 is divided by 1898.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 2*j + 6 + 4, -17 = -4*f - j. Calculate the smallest common multiple of 9 and f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 6*k**2 - 38*k + 21. Let l be r(-10). Let o(i) = 2*i - 6. Give o(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-480)\/(-144))\/(1280\/22656)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10377, 41095, 92291, 163965, 256117?\nAnswer: 368747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**2 + 14*j - 8. What are the prime factors of u(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 798*h**2 - 11*h - 42. Is n(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9588 and 1552410?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -80971646 by 166.\nAnswer: -487781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 - (-9 - (-10 + 6 + -2)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 721972?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 96 + 143. Calculate the remainder when m is divided by 42.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -8*d**3 + 208*d**2 - 835*d - 7190. Let y(f) = -4*f**3 + 104*f**2 - 418*f - 3596. Let g(a) = 2*j(a) - 5*y(a). Let g(t) = 0. What is t?\nAnswer: -4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/17 (b) -3 (c) 0.5 (d) -43 (e) 500\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5157?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 54*w**2 + 50*w + 11. Give n(2).\nAnswer: 327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 426 times -141.859?\nAnswer: -60431.934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6006 and 935?\nAnswer: 510510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -154059 (base 15) to base 5\nAnswer: -230313314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**5\/17 + 168536*b**4\/17 - 6576026*b**3\/17 - 6744560*b**2\/17 = 0. Calculate b.\nAnswer: -84307, -1, 0, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -274.7 - -274.64615. What is l rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -121 + 209. Let y = -63 + f. What is the remainder when 71 is divided by y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 - 36. Let z be 13\/2 - p\/(-14). Let t be (-2 - (1 - 4)) + z. What is the highest common divisor of 1 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 3*r - 8, o - 1 = -5*r + 17. What is the units digit of (o\/5)\/((-5)\/50)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33459.23ng in tonnes?\nAnswer: 0.00000000003345923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1521 + -1517. Solve -4 + 0 = q - b, -4*q = b - p for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuv when three letters picked without replacement from vvvvvvvvvuvvvvvvvvvu.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 a factor of 14205490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9501*l**2 - 2924*l + 2?\nAnswer: 19002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 861783 a multiple of 247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 5*m + 3 = 0, -r - m = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.21 - -3.21. What is the third smallest value in -40, z, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 90404 - 90404 - 5189*d**2 + d - 1080*d**2 as t*d + z + f*d**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7658737 - 44.\nAnswer: 7658693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5933282 divided by -11.\nAnswer: -5933282\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*y**4 + y**4 + 0*y**4 + (0*y**3 - 2*y**3 + 0*y**3)*(-y + 3*y + 0*y).\nAnswer: -9*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 24 + (0 - (1 + 1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r - 44 + 17 = 0. Let b(i) = -i**3 - i**2 - 1. Suppose 7 + 11 = 6*t. Let d(s) = 20*s + 0*s**2 + 2*s**2 + 2*s**t - 20*s + 3. Give r*d(a) - 8*b(a).\nAnswer: 2*a**3 + 2*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(858\/(936\/72))?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7ffe (base 16) in base 3?\nAnswer: -1122221120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*q + 15*q = -7 - 8. Calculate the highest common factor of q and 320.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 r when three letters picked without replacement from jgpprppjjyjpppjcpppg?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14381 and 788.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5415836814 rounded to three dps?\nAnswer: -0.542","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2176 (base 9) to base 13.\nAnswer: -969","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-54)\/144*(3 - 11)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 183?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-14)\/63 + 11\/9. Let w be -1*(2 - x)*-2. Differentiate -1 + 3 + 1 - v**w with respect to v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 7 (c) 5 (d) 13795\/2 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001 (base 3) to base 8.\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b\/(b\/(b**(-2\/3)*b)))\/b))**(-10)\/(b**(-1\/7)*b*b*b*b**(-2\/7)*b)*(b**(-1)\/b**7)**40 assuming b is positive.\nAnswer: b**(-7145\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - n - 9 = 0, -4*j + 51 = -n + 2*n. Calculate the smallest common multiple of j and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9867 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 614 is divided by 89.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4520, -4511, -4504, -4499, -4496, -4495?\nAnswer: -4496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220 + 8 = -4*o. Let m = -65 - o. Let u(x) = -x**2 - 10*x + 1. Let w be u(m). Which is smaller: w or 19?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/13540 and -17\/606592?\nAnswer: 3032960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 10*y**2 + 9*y + 6. Suppose -5*z - 9 = -4*z. Let s be i(z). Solve 5*n + d = -7, -s*n + d = -3*n + 9 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1209 + 1222. Suppose 36*k - l = 95. Suppose 2\/9*n**k + 0 + 10\/9*n**2 + 8\/9*n = 0. What is n?\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 16b81b3 - 3?\nAnswer: 16b81b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*m + 1\/11*m**3 + 0 + 10\/11*m**2.\nAnswer: m**2*(m + 10)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*w + 533 = -1255 - 359 for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/270 + (115\/(-9))\/(-1))\/1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 14*m**2 + 28*m - 8. Let t be r(-12). Let n be ((-5)\/(15\/12))\/(t\/42). Let f(o) = o**3 - 4*o**2 + 2*o + 1. What is f(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 10 = 3*h. Let b = h + -3. What is the first derivative of -2*n + 1 + b*n + 2*n**3 wrt n?\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 3 - (6 + -14 + 0).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 311633*o**3 - 76 - 66 + 142.\nAnswer: 311633*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 310 = t - 3*r, 4*r = -5*t + 752. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21428 + 37544. What is the ten thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 39*a**2 + 2*a + 109. Calculate m(-39).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 8*f = -326. List the prime factors of f.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10171 + 5213*a**2 - 357*a**2 - 10171 + 6389*a wrt a?\nAnswer: 9712","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3120220 - 12?\nAnswer: 3120202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 86693022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2415a + 509?\nAnswer: -23951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 11:57 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) 2\/9 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 6*s**2 - s + 8. Let p be b(-5). Which is greater: -14 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 12467*i**2 + 312297*i + 76. What is l(25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*a**2*p - 609642*a**2 + 3*a*p + 4*a + 20212467*p - 9 wrt p.\nAnswer: -2*a**2 + 3*a + 20212467","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + -50195.\nAnswer: -50205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 2, 671 in descending order.\nAnswer: 671, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - 0. Suppose 2*g + 5*s = -45, -5*g - 46 = -51*s + 54*s. Which is the third biggest value? (a) 2 (b) -3 (c) k (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 + 19. Solve -h + 4 = -u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 64 + -928ab?\nAnswer: -92847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1848 at most as big as -1848?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -521 - 3*j**2 + 1032 - 514 - 28*j**3 - 3*j. Is b(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.05 and -153.37656.\nAnswer: -153.32656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 58\/345 - -602\/21045. Find the common denominator of -79\/112 and u.\nAnswer: 6832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 105 and 630?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0068 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 75*c - 93*c + 6732. Calculate the greatest common factor of 68 and c.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7927, -8380, -8833, -9286?\n\"Answer: -453*q - 7474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**3 - 2*l**2 - 2. Suppose 5*r - 45 = 2*q, -4*q + 39 = 5*r - 6. Let b = -7 + r. Give a(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 759 = 57*d + 8*d - 1841. Let c(g) = -g**2 + 40*g + 1. What is c(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9825*v**2 - 48870*v**2 - 27193*v**2 + v.\nAnswer: -85888*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of r**5\/20 + r**2 - 7*r - 7. Let f(k) be the first derivative of l(k). What is f(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -24\/32725 (b) 9\/4 (c) 3 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/14*(-94325)\/2695.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (482832*i**2 - 482832*i**2 - 507*i**3)*(2*i**2 + 4*i**2 - i**2).\nAnswer: -2535*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 265419 and 495?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10173072?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 207477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82850869.\nAnswer: 82850869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24216*s**3 + 861*s - 13?\nAnswer: 145296*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/7 - -9\/14. Let n be 11 + (-62)\/5 + -1 + 3. What is the nearest to 2 in 5, h, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*p + p. Let j(i) = -i**2 - 6*i - 6. Let c be j(-3). Put c, p, 1 in descending order.\nAnswer: p, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, -0.0244, -0.5, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of m**4\/4 + 10*m**3\/3 - m**2\/2 - 11*m + 39. What is r(-10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 441403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + sqrt(19)*-2 + -2 + 5.\nAnswer: -sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 239167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 4*a. Let m(r) be the second derivative of r**3\/3 + 2*r. What is b(m(n))?\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3577304962?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 2*d**2 - d + 4. Let o be b(3). Let y be (-6)\/o*(-2 - 3). Suppose y*k - 24 = 2*k - 2*h, 4*k = -h + 103. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-4)\/(-96))\/(1*(-3)\/(-32))\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k. Let i(j) = -13*j + 5. Suppose -41 = -3*m - 5. Let y(f) = -32*f + 12. Let u(g) = m*i(g) - 5*y(g). Give u(a(x)).\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-24)\/(-4) - (-12)\/(0 - 2). Which is smaller: x or 2\/2865?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 6*z**2. Let j(y) = -2*y + 2. Determine m(j(r)).\nAnswer: 24*r**2 - 48*r + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1044, -2, 14, 77 in decreasing order.\nAnswer: 77, 14, 5, -2, -1044","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.68 - 37.28. Let v = 298.6 - 332.6. Let s = v - c. Sort s, -0.5, -0.12.\nAnswer: -0.5, s, -0.12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**0*i*i*i*i**(2\/7)*i*(i\/((i**0\/i)\/i*i))\/i*i*i**6 assuming i is positive.\nAnswer: i**(93\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1782866030?\nAnswer: 2, 5, 11, 1473443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8.62 + 9. Let b = -0.5 + m. Let t = b + 0.11842. What is t rounded to four dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 77*l - 76*l + 17, -l = -7*m + 29 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15775*p**4 - 159*p**3 - 11890139*p**2.\nAnswer: -378600*p - 954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 64*o**2 - 694*o + 63. Determine f(-50).\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5*f - 481 = 0, -6 = 2*c + 5*f + 348. Suppose -x = -4*k - 611 + 234, 4*x - 1522 = 2*k. Let v = x + c. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 136, 525, 1160, 2029, 3120, 4421, 5920?\nAnswer: 7605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20831 is divided by -6 - (-23 + 2)\/1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43*a**5 + 17*a**5 + 2*a - 3*a**5 - 23*a**5 + 4 wrt a?\nAnswer: -1040*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 2*i = 48, -143327*y + 143330*y + 4*i = -96 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a47a + -136a?\nAnswer: 19110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.073 - 24.407. Let a = f + 1.28. Let o = 14.3 + a. What is o rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 12:23 PM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14504?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(343) + 3 + 1)**2.\nAnswer: 70*sqrt(7) + 368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -102*o**4 + 110*o**4 + 89*o**4 + ((-1 - 1 + 0)*(-o + 0 + 0) + 2 + 2*o - 2)*(-5*o**3 + 3*o**3 + o**3).\nAnswer: 93*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 8 + 18 + 9*y**2 - 2*y**3 + y + 11*y + 3*y**3. Let w be r(-6). Suppose 3*h - 4*c + w = 921, h - 5*c - 268 = 0. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5469 a factor of 400713630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 4561140925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1913921 to the nearest 10000.\nAnswer: -1910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-9))\/((-36)\/27)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2538305?\nAnswer: 5, 7, 11, 19, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -7*-0.0242\nAnswer: 0.1694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1812, 7557, 17212, 30777, 48252, 69637?\nAnswer: 94932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 493, 494, 495?\nAnswer: 496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.071 + -0.071. Which is the closest to -7? (a) p (b) 1\/3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21 in 0.1, 0, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-4) + (-14)\/(-12). Which is the closest to 1\/3? (a) y (b) -0.02 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 155673795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -a, -2*o + 4*a = 6 - 24. Suppose 2*f - 186 = -2*n + 798, -3*f + o = 0. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -781 + 786. Put -0.2, 162, r in decreasing order.\nAnswer: 162, r, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 355*s = 350*s + 55. Let t(q) = 7*q**2 - 6*q + 8. Let i(u) = 5*u - 9*u**2 - 4*u**2 - 15 + 6*u. Calculate s*t(w) + 6*i(w).\nAnswer: -w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -111111001011011101?\nAnswer: 111111001011011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1950?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/13, -3, 3, -1204?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.2 + -10. Let i = w - -13. Which is the second biggest value? (a) i (b) -2\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 11*x**2 + 3*x - 29. Let b(n) = -5*n**2 - 2*n + 14. Let q(g) = 9*b(g) + 4*p(g). Let t be q(-7). Solve 0 = t*f - 2 - 7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9136658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 441 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 223313110 (base 4) in base 15?\nAnswer: 3837d","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111154 is divided by 84.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1322652 is divided by 809.\nAnswer: 746","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -38792743\/26329950 - 1\/526599. Let w = m + -2\/75. Suppose s + 6 = -s. Is w at most s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 3*v = 6. Suppose f + o + 8 = 0, -v*o = -3*f - 0*o + 1. Let y = 4 + f. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -1121?\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6292) - -1*sqrt(6292) - sqrt(6292))\/(sqrt(512)\/sqrt(8)).\nAnswer: 11*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 14) in base 16?\nAnswer: -1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-six fifths of a meter?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8149343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 826 and 295?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - 2*w**2 + 4*w + 1. Let n be a(-3). Let h = 23 + -20. What is the smallest value in h, n, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*i - 13. Suppose 0 = u - i*u + 20. Is 5\/(u\/(-382))*-1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 + (-1 + 3 - 3). Let q(y) = -y**2 - 6*y - 2. Let k be q(a). Suppose k*d = 8*d - 70. Calculate the remainder when 53 is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112221 (base 3) to base 10.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - (2\/(-1))\/(-2). Let x = -560 - -333. Let k = 1131\/5 + x. Which is greater: z or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -7*a**2 - 11*a - 8. Let z(v) = 6*v**2 + 11*v + 8. Let t(u) = -5*r(u) - 6*z(u). Let k be t(-6). Let d = k + -8. Does 14 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5200545 (base 6) to base 2\nAnswer: -111100110011010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 894188962?\nAnswer: 2, 1303, 343127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/3 + 65*s + 194\/3.\nAnswer: (s + 1)*(s + 194)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -833 + 835. Suppose 3*k - 37 = -1. Solve -j*h - k = -4*u, -h = 4*h - 10 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 4*t + 3*w + 25, 2*t = 2*w + 66. List the prime factors of t.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13.3 + 118688\nAnswer: 118674.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2555814?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -581, 16, 1\/7, 2\/13?\nAnswer: -581","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - c + 328. Let i be d(0). Suppose -53 + i = 5*b. Is b a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -263 divided by -160\nAnswer: 263\/160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 32*u - 28. Let m be o(1). Suppose m*a - 540 = -5*n, -3*a = -4*n - 4*a + 432. What is the remainder when n is divided by 55?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -13*g**5\/60 + g**4\/6 + 19*g**3\/3 - 34. Let y(s) be the third derivative of t(s). Differentiate y(j) with respect to j.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c + 4. Let m be j(4). Suppose 4*y + 4 = -m*y + 4*k, -y - 6 = -2*k. Suppose -5*l - 5*a + 284 = -l, y*l + 2*a = 272. What are the prime factors of l?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12078*a - 12070*a - 4*n = 648, -4*n = a - 63 for a.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*p - 8*p = -48. Let q(z) = -10*z + 23. Let b be q(p). Solve o + 10 + b = 4*f, 5*f + 5 = -3*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3 - 1)*(10962 - 74*j**2 - 10962) to x*j + v + p*j**2 and give p.\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1585 by 1.\nAnswer: -1585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 220279 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 276 - 280. Which is the second smallest value? (a) i (b) 0.3 (c) 8\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-102)\/5*176\/24. Let r = g - -150. Factor r*w**2 - 4\/5*w + 0.\nAnswer: 2*w*(w - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -11*j**4\/4 - 3*j + 9. Differentiate r(d) with respect to d.\nAnswer: -33*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 4*j + 9*j = -18, -j = k - 2. What is the first derivative of 5 + d - k + 4 wrt d?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 28090 to the nearest one thousand.\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 64393.63 rounded to the nearest one hundred?\nAnswer: 64400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -78.7 + 87. Let a = o + 0.7. Let w = a - 5. What is the second smallest value in w, 2\/5, -2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 768115 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 296*c**2 + 40*c + 98830. Calculate a(-295).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 17 + -3 - (-20 + 28). What is the nearest to -2 in 1\/5, -3, c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = -3*b - 2552. What are the prime factors of ((-2)\/8)\/(5\/b)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -245 + 270. Solve -d = 6*f - 7 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 PM and 2:16 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/111 or -214?\nAnswer: -214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2 - 50*n - 625.\nAnswer: -(n + 25)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1218656555 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 + 37. Let p = -62 + 113. Suppose -7*a + 4*a = -5*z + p, 6 = -3*a. Calculate the remainder when j is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 9) in base 13?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 - (-81)\/21) + 31\/21. Which is the fourth smallest value? (a) 0.3 (b) -3 (c) 5 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3096 = -14*q + 2*q. Is 5 a factor of (-1*(-3)\/(-3))\/((-2)\/q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -372 and -726.\nAnswer: 270072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o - 0*o - 8*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -6*m**5 - 5*m**4 + 14*m**2 + 5*m. Let x(q) = q**4 - q. Let p(a) = 10*x(a) + 2*z(a). Find the third derivative of p(h) wrt h.\nAnswer: -720*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -20*x + 79. What is m(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 119718*q*s**2*v**3 - 42*q*s**2*v**2 + 15*q*s*v**2 + 333*s**3*v**3 + 2*s**3*v + 2071*s**2*v**2 + 3*v wrt v.\nAnswer: 718308*q*s**2 + 1998*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**4 - 3*t**4 + t**4)*(3 - 3 + 2*t + (2*t + t - 2*t)*(1 - 4 + 4)) + (-72 - 93 + 135)*(-2*t**5 - t**5 - 2*t**5).\nAnswer: 144*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -7, 0, 5.\nAnswer: -7, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000101000010 - 10?\nAnswer: -1000101000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -109*j - 215. Let d be r(-2). Solve -3*k + 27 = -d*t, -3*k - 2*t - 2 = -4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4*a - 1 = 0, -6*u - a = -u - 6. Suppose 2*p = -u + 99. Suppose -g - p = -s + 70, 4*g = -2*s + 214. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 9\/5*t**2 - 2\/5*t + t**3.\nAnswer: t*(t + 2)*(5*t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 e when two letters picked without replacement from eonoene.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**2 + 3*s - 83. Calculate w(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9348070?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(468) - (sqrt(468) + -3 + 2)**2 - sqrt(468) - -2*sqrt(468)*-5.\nAnswer: -469 - 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -1, -7110, 3 in descending order.\nAnswer: 3, -0.2, -1, -7110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156 = 73*f - 61*f. Is -28 greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1562 is divided by 499?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*1 - 0 - 3. Suppose -5*n - 5*f + 12 = 2, 4*f = 16. Which is the third smallest value? (a) k (b) n (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 12:32 PM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -135.4? (a) 0.4 (b) -3\/5 (c) 0.1 (d) -1 (e) 9 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a micrometer in nanometers?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8.54 - 8. Let c = -15368 - -15368.54092. Let f = c - a. Round f to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -186433 divided by -1\nAnswer: 186433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -4873968.59 to the nearest 100000.\nAnswer: -4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.151 + -0.1.\nAnswer: 0.051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -62 - -74. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-116)\/(4 - 6))\/2 - -2 is divided by 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -5*t**2 + 57*t - 179. Calculate u(5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 226446 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -5*d. Let i be f(3). Let c be (-4 - i\/5)*-3. Solve 8 + 4 = -c*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50*y**2 + 2*y + 103*y**2 - 6 - 51*y**2 - 2*y**3 to o*y**2 + l + d*y**3 + c*y and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 n, and 2 f when four letters picked without replacement from {j: 1, c: 1, n: 1, f: 6}?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 23048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-24 - (0 - 22)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 6) to base 5\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 22352*a**2 - 9*a - 13. Is t(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 8 = 2*f. Find the second derivative of 5*p**2 + 4*p + 7*p**f - 15*p**2 wrt p.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06023591253 to 5 decimal places.\nAnswer: -0.06024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, p: 1, f: 2, q: 1, d: 2}. Give prob of sequence fpi.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1045713 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*q + 16 = 0, -2*z + 5*q - 1 + 21 = 0. Suppose z = -5*h - 2*x + 54, -4*x - 22 = -2*h - h. Is h >= 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 3*f + 2*c + 302, 2*c + 898 = -3*f. Let m = 1129 + -1629. Let g = f - m. Does 28 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of 3*w**6\/7 - 76*w**5\/35 - 181*w**4\/14 + 4*w**3\/7 + 260*w**2\/7 - 16*w - 78. Let z(o) = 0. Calculate o.\nAnswer: -2, 2\/9, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (43\/(8729\/58))\/(1\/119).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122496*v + 1728 = -122280*v for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 8) in base 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 7:55 PM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1120920743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002249878 rounded to six dps?\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20521 + -20520. Sort 5, o, -1658 in increasing order.\nAnswer: -1658, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13674194 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-12)*(-2 + 20). Suppose 15 - p = 2*d. Suppose 0 = -d*g + 5*f + 169, -2*g = 4*f - 10 - 88. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l + 8*l + 9*l + (-1 + 1 + l)*(-1 + 0 - 1))*(-3*l**2 + 3*l**2 + 4*l**3) in the form s*l**4 + w*l**2 + o*l**3 + a + g*l and give s.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - -1 - (-9)\/(-4). Let r = -15 + 29\/2. What is the closest to r in -0.4, -0.3, h?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 23 - ((-15)\/(-3) - 2). Let z = 22 - p. Suppose -10 - 30 = -2*o. What is the smallest common multiple of z and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 327, -6, -2\/13, -11, 8\/3, 0 in increasing order.\nAnswer: -11, -6, -2\/13, 0, 8\/3, 327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 2*n + 31. Suppose 3*c - n = -3*b - c, -5*c = 4*b - 40. Suppose b*y - 271 = -4*x, -4*y = -0*x + 4*x - 216. Is y a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -35*l + 49. Calculate g(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - f**2 + 1. Let m = -467 - -472. Let u(z) = -4*z**3 + 4*z**2 - 2*z - 5. Give m*n(d) + u(d).\nAnswer: d**3 - d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 7051 - 7019 = -5*g, -4*b - 5*g = 51 for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 60 = -5*a, 3*k = 3*a + 4*k - 35. Is 4 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 + 61. Let h = d + -30. Let q = 48.7 - h. What is q rounded to 0 decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12810*v + 13948*v - 587*v - 2796*v + 2691*v.\nAnswer: 26066*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -32*m + 3 + 6 + 2 + 12*m**2 + 5 = 0?\nAnswer: 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 2*a - 12, -5*a = 4*o - 9*a - 4. Suppose -v + 3*u = 38 - 137, 0 = o*v + u - 177. Is 18 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*j = 78, -2*j + 3 + 95 = -f. Let m be f\/(-28) + (-7)\/49. Sort m, -2, -4, 4 in descending order.\nAnswer: 4, m, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 980741914 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -4*y - 6. Let f(q) = -q - 1. Let j(w) = -b(w) + 6*f(w). Let h(c) = 6*c. Give j(h(p)).\nAnswer: -12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n + 18. Let x(k) be the second derivative of k**4\/12 + k**3 + 7*k**2\/2 - 3*k. What is the lowest common multiple of w(-13) and x(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1671470 = 1671470?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 3 + 3)*(y + 2*y - 4*y)*(1 - 2 - 2)*(0 - 2 + 8)*(71*y**3 + 2*y - 5*y - 63*y**3).\nAnswer: -144*y**5 + 54*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*j + 2637 = 4*r + 42*j, 0 = -3*r - 2*j + 1986. What is the smallest common multiple of r and 264?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/4 of a litre in millilitres?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - g**2 + 24*g + 88. Calculate the least common multiple of 335 and h(-4).\nAnswer: 2680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 - (51 + (92 - 129)).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.36957468 - 9?\nAnswer: -1.63042532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 48477461*b**6 + 1554*b**2 + 22*b - 8 wrt b.\nAnswer: 5817295320*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41275 (base 10) to base 2.\nAnswer: 1010000100111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/722779 and -107\/1976038?\nAnswer: 215388142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-396)\/(-598) + (-744)\/(-2852).\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 2:21 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1576\/36 - (-2)\/9. Suppose o - m = -o. What is the remainder when o is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t + 294940 - 295000 = 0 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -19852eb8 - -5?\nAnswer: -19852eb3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*t = 10*t - 3480. List the prime factors of (-4)\/10 - t\/25.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*t - 2 + 4 - 2.\nAnswer: -25*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1409009 and 53?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4107 (base 11) in base 16?\nAnswer: -154c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10214 + -10209. Solve -n - 20 = j*p, 2*n = 5*n + 3*p for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*v - 94 = 95. Solve -v = 3*z, -4*r + 2 = -z + 11 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -310*l - 1367 = -2*b - 39*l, l + 0*l - 25 = 4*l + 2*l for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1723 at least -1721?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -589, -733, 1 in decreasing order.\nAnswer: 1, -589, -733","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 470, 518, 576, 650, 746?\nAnswer: 870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 2527.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 500968*v + 46*v**3 - 500968*v - 39*v**3.\nAnswer: 7*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(2\/21)*w)**(-2\/27))**(7\/5) assuming w is positive.\nAnswer: w**(-88\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 21*y = -11*y + 1512. Let n(p) = -10*p + 1. What is the remainder when y is divided by n(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -6*v**2 + 2 + 4*v**3 + 2*v**2 - v + 4*v - 3*v**3. Let x be g(4). What is the highest common factor of x and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291 is divided by 40?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2\/325, 3\/8, -95.81.\nAnswer: -95.81, -3, 2\/325, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**8*i*i**(-7)\/i*i**(-2\/5)\/(i**(-1)\/i))**(-2\/17))**11 assuming i is positive.\nAnswer: i**(-396\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, u: 2, n: 8, y: 3, b: 2, h: 1}. Give prob of sequence un.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6298793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 3, -3\/4, 41941, 4, 1, -0.5, 1\/4?\nAnswer: 41941","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 263408756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(4*(sqrt(78) + -1*sqrt(78)) + sqrt(78)))\/(1*3*sqrt(6)*3).\nAnswer: 5*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/9)\/(9\/(-15)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20406 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 519 - 509. Solve 4*q - 17 = 2*d - 3*d, 5*d - m = 5*q for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**2 - 3*j + 2. Let w(r) = 7*r**2 - 11*r + 7. Suppose -3*z - 2*c - 20 = -2*z, -3*c + 3 = 0. Let p = 525 - 519. Give p*w(v) + z*u(v).\nAnswer: -2*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 85d - 2?\nAnswer: 85b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14058 and 3865311.\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 15, -60 = 5*k + 4*s + 67. Let j be (k\/(-69))\/((-2)\/(-54)). Suppose 15*r = j - 849. Which is smaller: r or -57?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(275) + ((1 + sqrt(11))*-2 - sqrt(11)))**2.\nAnswer: -12*sqrt(11) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of 17*b**3 + 0*b**4 + 0*b**2 + 8 - 21\/2*b**6 + 0*b**5 + 0*b. Find the third derivative of m(a) wrt a.\nAnswer: -3780*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -9. Suppose m*k - k = 0. Solve -12 = -k*l + 3*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 + -28.5. Which is the closest to 1? (a) -2 (b) -1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - -4. Let q(v) = -8*v - 5 + 0*v - 5 + v**2. Let h be q(n). Is -3 bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11139822 and 216.\nAnswer: 44559288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/660 and -11\/117.\nAnswer: 25740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*8\/(-216)*-30.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**3 + 340*a - 3 + 7 - 22.\nAnswer: -2*a**3 + 340*a - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2988*m**2. Let s(v) = -3*v. What is s(i(j))?\nAnswer: 8964*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 5*q = -0*r - 14, -4*q - 4 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -122, -241, -362, -485, -610, -737?\nAnswer: -866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/(-15)*(-5)\/(-6). Let g = -90 - -90.073. Let n = 0.027 + g. What is the nearest to 2\/21 in 3, x, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -196*w + 1270. Determine d(6).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -153.\nAnswer: 15.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2352) + sqrt(48))\/(sqrt(6)*-3*5) - (2 + (sqrt(48)\/sqrt(3)*6)\/(sqrt(1152)*-1))**2.\nAnswer: -9\/2 + 14*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 4. Let o be (0\/z)\/(7 + -9). Suppose o = -3*i - 2*i + 325. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (4 - -14) - -41) + -7 - (1 - -9).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (6 - ((-12 - -41) + 10)) + -11 + 2\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 488 + -1466\/3. What is the biggest value in c, 0.2, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.08? (a) 1\/12 (b) -0.3 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -31, 4, -13\/4?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-68)\/(-20) - 6\/15. Suppose -u - m*i + 2 = -4*i, -2*u = 4*i - 28. Let d(n) = 11*n - 9. Let k(b) = 7*b - 6. Let t(r) = 5*d(r) - 8*k(r). What is t(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -3 + 3*2\/(-30)*33?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9060 or -9059?\nAnswer: -9059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, -2.2602, 4, 2, 0.3 in increasing order.\nAnswer: -2.2602, 0.3, 2, 4, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hxm when three letters picked without replacement from {n: 1, y: 2, r: 5, h: 1, m: 5, x: 6}.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -10*f + 6*f. Sort f, 5, 1 in descending order.\nAnswer: f, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.163 + 0.163. Let v be 42\/8 - (-1)\/(-4). Which is the nearest to q? (a) -2\/9 (b) -0.4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 5*x + 4*x = -0*k + x + 3*x + 8, 5*k + 7*x = 13 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 3*y. Let n be 4\/(-18)*(-4 + -5). Let q(u) = 4*u - 6*u - 2 + u - 2*u - 4*u**n. Let g be q(-1). Give j(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 4*m)*(-2*m + 3*m + 0*m)*(-1 + 5 - 1) + (-2*m + 4*m - m)*(0*m - m - m).\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -8936*b - 232342. Give s(-26).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-12)*(1 + -4). Let w = 6 + m. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 2 n, and 1 l when four letters picked without replacement from mnbbnmmnmbmnbnnmlm?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3101202847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r - 7. Let n be b(-7). Suppose n*t = 2*t + 15. Suppose -t*g + 20 = 2*a, 2*a = a + 3*g + 19. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n - 27. Let h be t(-9). Solve 0 = -2*y - h + 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((15\/6)\/(-5)*-10)\/(98*(-98)\/(-153664)).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 11*f**2 + 28*f - 25. Let h be j(13). Which is greater: -6\/595 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -8 (b) 1\/5 (c) -2\/3 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 234673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8*(-76)\/(-16))\/(938\/(-469))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/1813 - 1815\/3626. Which is the second smallest value? (a) -1 (b) z (c) 11\/45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(19) + -2 - sqrt(57)\/sqrt(27).\nAnswer: 1 + 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17857 is divided by 238.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2792\/11 - -254. Let w = 0.32 + -0.5. Let v = -4.82 + w. Which is the smallest value? (a) v (b) n (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -76246 or 1\/9?\nAnswer: -76246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -15\/7681?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5069*t + 5044*t + 300 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 9 = 33. Let j be 9\/(-6)*o\/(-3). Let g = j - -7. Sort -3, g, -1.\nAnswer: -3, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 11:42 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5\/2221, -12\/5, -0.2?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**(-1\/5)\/w))\/(w**(-2\/37)*w)*(((w\/w**15*w)\/w)\/w)\/w*w**16)**(-28) assuming w is positive.\nAnswer: w**(-1316\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -24641*r**2 + 777 + 2*r**4 - r**4 + 24614*r**2 wrt r?\nAnswer: 4*r**3 - 54*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = o, -2*h - 4*o = -h - 38. What is the second derivative of k + 10*k - 11*k - 17*k - h*k**3 wrt k?\nAnswer: -132*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 4*s. Let j be a(0). Let v be j - 4 - 212*-1717. Round v to the nearest 10000.\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (180\/9 + -27)\/(1 - 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -23*c - 71. Determine q(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 u when two letters picked without replacement from gduzduygn?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/2)\/((-3)\/18). Suppose b + y + 36 = -4*b, 18 = -3*b + v*y. Let n = 12 + b. Solve 3*j - n*g - 19 = 0, 0*j + 11 = j - 4*g for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 21*q**3 + q**2 + 10*q - 4. Let w be v(3). Let i = w - 241. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31087858 a multiple of 597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(90)\/sqrt(3)*-5)\/(sqrt(90)\/(sqrt(9)*2)).\nAnswer: -60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -91045 + 998875\/11. Let k = -238 - n. Sort -1, k, 4, -3.\nAnswer: -3, -1, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1293235425 to the nearest integer?\nAnswer: 35962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*g - 3809 - 42*g + 14*g + 12*g.\nAnswer: 2*g - 3809","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + 0. Let l(g) = g + 7. Let t be l(-5). Solve z*k + s - 5 = t*k, 28 = 4*k - 4*s for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1642 (base 8) in base 5?\nAnswer: 12210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(931) - ((sqrt(931) + -1 + sqrt(931) - sqrt(931)) + sqrt(931)))**2 - sqrt(931)) + sqrt(1539)*-1)*2.\nAnswer: -60*sqrt(19) + 1864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.978 - -0.022. Let g be 8\/(-48) + (-19)\/102. Which is the third smallest value? (a) g (b) -0.5 (c) 5 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 4*v + 5. Let s(c) = 1 - 4*c - 8*c + 11*c. Give -5*s(b) + w(b).\nAnswer: -b**3 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*y**4 + y**4 + 1 - 4 + 4 wrt y?\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -639\/4 - -159. Let w = -280.329 + 285.329. What is the smallest value in 0, w, i, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 5*k**3 - 3*k**2 + 3*k - 3. Let q = -5 + 41. Let j be 8\/(-20) + q\/15. What is the units digit of i(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 2 + 2. Let w(l) = -5*l**2 + 2*l - 2. Let m be w(a). Let f(d) = d**3 - d**2. Let i(k) = k**3 - 1. Let v(n) = -5*f(n) + 6*i(n). What is v(m)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -362, -724, -1086, -1448?\n\"Answer: -362*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -7*u**3 + 4*u**2 - 2*u - 1. Let x be h(1). Let a(s) = s**3 + 4*s**2 - 12*s - 9. Determine a(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.26, 0.1, -1, -0.6, 7509 in decreasing order.\nAnswer: 7509, 4, 0.1, -0.26, -0.6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -199 (b) 3 (c) 2\/5 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-54468)\/(-48) + (-49)\/28?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -269184607*d*f**2 + 64978*d*f + 1408*f wrt f.\nAnswer: -538369214*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 2) + (-5 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/4)\/(-10 + (-1425)\/(-120)). What is o in g*o**2 + 32\/5 + 16\/5*o = 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -378518 or -378516?\nAnswer: -378516","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1444 divided by -13?\nAnswer: 1444\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -2. Calculate the greatest common factor of k and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 + -41. Let c = w + 47. Is (1 - 4 - -5) + c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 4\/86895913 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1559 divided by -1?\nAnswer: -1559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 99348?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*l + 0*l - 4*l**2 + (-2 - 3*l**2 + 2)*(2 + 2 - 2))*(-6 + 6 + 3*l**2) as o*l + m*l**3 + h + d*l**2 + c*l**4 and give c.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4225, -0.06, 0.3, -0.3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 10) in base 7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -17*u + 6. Let g(w) = 28*w - 313. Let b be g(11). Let i(o) = -18*o + 7. Calculate b*j(v) + 4*i(v).\nAnswer: 13*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3966 and 633088614?\nAnswer: 3966","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4640519, 4640520, 4640521?\n\"Answer: f + 4640518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-202 + (-1 - 1))*4\/(-16). Calculate the greatest common factor of 187 and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-6) - 126\/(-189)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yykyqkqkyqqkqyqq. What is prob of sequence yqyy?\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 5*d + 455 = a, -2*d = -5*a + 544. Let k = a + -61. Suppose -3*v + 31 + 44 = 0. What is the remainder when k is divided by v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 8*k + 7. Let c = -2 - 6. Calculate the smallest common multiple of x(c) and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/12 - (-51)\/(-9). Let t be (-4)\/n*6\/14. Let q = -0.05 - 0.25. What is the closest to t in q, -1, -5\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5 + 2*(3 + sqrt(44)) - (1 + sqrt(2816)*-2))**2.\nAnswer: 14256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29098 is divided by 938.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -40 in -5, -3, -2\/19, -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - 14*n - 11. Let l be x(15). Suppose 4*r = -2*k - 0*k + 46, l*r - 92 = -4*k. What are the prime factors of k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-108*22\/(-1320))\/((-6)\/10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 396 and 891.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -43*q**2 - 173 wrt q?\nAnswer: -86*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2\/3)\/(12\/432)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20984721 by 6.\nAnswer: -6994907\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1386703663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3 - 416*b**2 + 10792*b - 19936.\nAnswer: 2*(b - 178)*(b - 28)*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 3*n - 1, 0 = l - 3*l + 5*n - 1. Let f be (-23)\/(-7) - 4\/14. Solve s = -l - f for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66863, -66862, -66861, -66860, -66859?\nAnswer: -66858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.435 - 0.435. What is the closest to -1 in 0.4, z, -2, -4.17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -654 + 144 = -51*i. Let a(l) = l**2 + 5*l + 5. Let k be a(-5). What is the greatest common divisor of k and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.12 + 5. Let w = -0.15 - s. What is w rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -79494*k. Let t(d) = 1192*d. Calculate q(t(h)).\nAnswer: -94756848*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00016122328 to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-16)\/(-6))\/((-2)\/(-6)). Let c be ((-12)\/g - 0)*18. Let m be (8 - 2)\/((-3)\/c). What is the greatest common factor of 18 and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1577*j**2 + 2704*j + 30094 - 30094 wrt j?\nAnswer: -3154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36248 and 552?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2840*g*i**3 - 11704*g*i**2 - 3604*g*i - 3*g + 2*i**3 + 822*i wrt i?\nAnswer: 17040*g*i - 23408*g + 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-19 - 0) + (19 - 18) + 10\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/7, -5, 2\/27, -1\/8 in ascending order.\nAnswer: -5, -1\/8, 2\/27, 5\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(288) + -1 - (5 + sqrt(288)*2)) + (sqrt(288) - 2*sqrt(288)*6 - -1*sqrt(288)*-1))**2 + 4)*4 + 2.\nAnswer: 8736*sqrt(2) + 194902","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -619 - -889. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.4*-1551843.\nAnswer: 3724423.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fxxd when four letters picked without replacement from {f: 5, u: 5, d: 5, y: 1, x: 2}?\nAnswer: 5\/7344","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 155661079 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of 1\/126*x**7 + 0*x**3 - 5\/2016*x**8 - 6*x + 0 - 5\/36*x**4 + 1\/48*x**6 - 7*x**2 - 1\/18*x**5. Factor i(b).\nAnswer: -5*b*(b - 2)**2*(b + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mjjutbpu. What is prob of sequence pb?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -1. Let s = 70 + -69.6. What is the second biggest value in -2, w, s?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86 + 86 + 4*y + 4*y.\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 16281545.95 rounded to the nearest one hundred thousand?\nAnswer: 16300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.00812, 4.8, 32, 3 in decreasing order.\nAnswer: 32, 4.8, 3, -0.00812","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1117776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - 7*n + 1. Let m be k(-5). What is the tens digit of (-9 - -7) + m + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 43.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6230609.27894939 + 6230569.399. Let o = b - -1.87994589. Let w = o - -38. What is w rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 x when two letters picked without replacement from fltxllnxmxxllmlx.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63084 + 9261*a + 63084 to d + w*a and give w.\nAnswer: 9261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 566108148.\nAnswer: 2, 3, 1399, 33721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 4*d**2 - d + 5. Let h = -44 + 74. Let l = 32 - h. Suppose u + 12 = -l*u. Give j(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -0*a. Suppose 5*r + 0*r - 15 = a. Is 3 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 218 - 159. Calculate the remainder when v is divided by 29.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -4*b - b. Let q = 13 + b. Let m = q + -5. Sort m, -1, 2 in decreasing order.\nAnswer: 2, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3*v = -45, 2 - 5 = -k - 3*v. Suppose 0 = y + 2 - k. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69342 divided by 182?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 12:23 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -450, -801, -1062, -1233, -1314?\n\"Answer: 45*y**2 - 486*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 51730380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 1:26 PM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -69.0000029 + 69. What is m rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h - 9. Let m be y(-7). Suppose -70 = -m*f + 25. What are the prime factors of f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 129 or 131?\nAnswer: 129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 767150 - 2101184. Let t = -1333925.0013 - d. Let g = 109 - t. Round g to four dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 25*q**2 - 2*q - 48. Let j be m(-25). Let s = 719\/435 + 2\/145. Suppose 0 + 7\/3*w**5 - 3*w**3 + s*w**4 - 5\/3*w**j + 2\/3*w = 0. What is w?\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180164009?\nAnswer: 180164009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 23.5 (b) -0.7 (c) -0.2 (d) 212 (e) 1\/50 (f) -0.1 (g) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -7*c - 7. Suppose -3*g + 3*q = -5*g - 26, 5*g = 2*q - 27. Let t be x(g). Let h = 47 - t. Solve h*b - 6 = -3*k, 3*b - k + 3 = 15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 5 - 1)*(3*b - b + 0*b) + (-2*b - 3*b + 6*b)*(-2 - 2 + 2) - 5*b + 2*b + b - b + 2*b - 2*b - 4*b + 21 - 21 to the form i*b + l and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -4*m**3 - 4*m**2 - m + 2. Let d be p(-2). Solve 3*l + d = -2*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 64*k**3*m + 91595*k**2*m + 3*k**2 + 249*k - 48705*m wrt k?\nAnswer: 384*k*m + 183190*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 + 6. Let u(j) = -2*j**2 - 11. Let t(p) = 11*h(p) + 6*u(p). Let x(o) = o**2 + 2. Give t(x(n)).\nAnswer: -n**4 - 4*n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 1 = -2*m, 11 = -8*s + 3*m for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12209.74 * -30.\nAnswer: -366292.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3c91 - -b?\nAnswer: 3c9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 30 = -9*r. Suppose 0 = r*v - 140 + 131. Let k(t) = -t**3 + t**2 + 2*t - 2. Calculate k(v).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 166795?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 8 - 2)*(-m**2 + m - m) + (-2*m + 0*m + 3*m)*(m - m + m) + 3*m + m**2 - 3*m as a + v*m**2 + q*m and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1044401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one quarter of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.8 - -0.6. Let v = -0.542 - -0.29. Let g = v - r. Round g to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 2*g**2 + 0*g)*(g**2 + 2*g - 2*g) + 0*g**4 + 2*g**4 - g**4 - 2*g**4 + 2*g**4 + g**4 + 13*g - 15*g + 688335 - 688204 - 5*g**4.\nAnswer: -g**4 - 2*g + 131","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62 - -64 - (-3 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*w = -562, c = 5*c + 5*w - 541. Suppose -d = 137 - c. Solve -3*f + d*p - 2 - 3 = 0, -p = -4*f - 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - (30 + -85) - 36) + 89\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - (-54)\/(-4))\/((-1)\/(-2)). Let b be (-45)\/r + (-1)\/(-3). What is the first derivative of 9*h**2 + 15 + 16*h**b - 13*h**2 wrt h?\nAnswer: 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247435.\nAnswer: 5, 17, 41, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 22 = 4*r. Suppose 4*i = i + 3*q + 6, r*q - 8 = -4*i. Find the third derivative of -13*b**i + 21*b**6 - 30*b**6 - 7*b**2 wrt b.\nAnswer: -1080*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -923 and 608?\nAnswer: -561184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 + -7 + 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**2 + 5*o + 2. Let p be (1*24\/4)\/(-2). Calculate z(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 59 - 1 = 0. Let y = -52 + a. Suppose 37*v - 33*v - 256 = -3*u, 0 = -5*v + 5*u + 320. What is the greatest common divisor of y and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.485482139 rounded to one dp?\nAnswer: 11.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23001 - 2003223333?\nAnswer: -2003313000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yoypyoojsjyx. What is prob of sequence jy?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -208 - -208.2. Let s = -4.1 - -1. Let u = 3 + s. Is j not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 506 and 138?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 13833?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/273 + -187\/1365. Which is the closest to -0.2? (a) p (b) 0.4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*w + 628 = -151 - 181 for w.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 234009119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 462 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5491.\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 454*d**4 + d**3 - 5*d**2 - 11067?\nAnswer: 1816*d**3 + 3*d**2 - 10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((322 - 1)\/3)\/100 and -101\/10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 5, -2, 35, 13 in descending order.\nAnswer: 35, 13, 5, 4, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*h - 5591 = -5391 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**3 - o**3 - 2*o**3)*(0*o + 0*o - o).\nAnswer: 3*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of 61\/40*p**6 + 0*p + 71\/6*p**3 + 0 + 0*p**4 - 151*p**2 + 0*p**5. Differentiate s(o) with respect to o.\nAnswer: 549*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**4 + 40*g**3 - 1267*g**2 - 4066*g - 2760 = 0.\nAnswer: -60, -2, -1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 4 = -3*k. Suppose 2*s - 6 = -k. Calculate the greatest common factor of s and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -b**6\/6 - b**5\/2 + 5*b**4\/12 + 5*b**3\/3 + 104*b. Factor o(i).\nAnswer: -5*i*(i - 1)*(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 = -6*m + 1001. Suppose 0 = 2*x - 2*c - 64, -m = x - 5*x - 3*c. What is the remainder when x is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 966 + 181?\nAnswer: 1147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 127 - 22. Find the common denominator of -121\/24 and -1 + (-1)\/(-3) - t\/(-40).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 16, u: 2}. What is prob of sequence luu?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*t - 3626757*t**2 + 3626735*t**2 + 13*t.\nAnswer: -22*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1898, 3776, 5656, 7538?\nAnswer: 9422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/(-6975)*9\/6*5?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -294 + 862 = -529517*o + 529509*o for o.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((16\/(-4))\/44)\/((-20)\/40).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 559847 to the power of 1\/3, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1741835417 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1915 is divided by 118?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 124 and -12831891227.\nAnswer: -12831891103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**2 - 8*z - 4. Let d be b(6). Let g be 150\/(-4)*d\/(-15). Let n = -20 + 30. Calculate the greatest common divisor of n and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 994? (a) 3 (b) -0.4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4*p - 2*p + 0*p. Let m(k) = -1 - 468275*k**2 + 468274*k**2 + 1. What is h(m(r))?\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/1576878 and -29\/12.\nAnswer: 3153756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + 3*d - 2*d)*(0*d - d - d)*(-255*d - 60*d - 262*d).\nAnswer: 4616*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x + 0*x - 73*x**3 - 431*x**3 + 7 + 176*x**3 in the form g*x + j*x**3 + w*x**2 + b and give j.\nAnswer: -328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 289446426.\nAnswer: 2, 3, 5360119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -10. Suppose 33*o = 35*o - 6. Let p be x\/8*(51 - o). Solve 5*b + 5*u + 4 + 1 = 0, -b + 4*u = -p for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 987 = 4*l + 147. Suppose 5*d = 5, 3 = -g - 5*d + 4. List the prime factors of g\/8 + l\/4.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*w - 8*w + 51*w - 33*w + 4*w**3.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10134*v**3 - 25*v + 25*v + 10144*v**3.\nAnswer: 10*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(10)\/(sqrt(25)\/(sqrt(25)\/sqrt(5))) + -1 - (sqrt(18)\/(sqrt(27)\/sqrt(3)) - sqrt(882))) + -5.\nAnswer: -4 + 21*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**3 - 179*o**2 - 152*o + 342. Is n(-105) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - o = 39310, 3049*n - 3045*n = 5*o + 157236. What are the prime factors of n?\nAnswer: 2, 11, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 823912, 1647826, 2471754, 3295696?\nAnswer: 4119652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3859 - -383160.59781?\nAnswer: 387019.59781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 58*l - 110. Let d be g(2). Let p(z) = 40*z**3 + 34*z**2 - z - 18. Let n be p(d). What is n rounded to the nearest one hundred?\nAnswer: 9800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2005 = 3139*a - 2414*a + 6209 + 1936 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 + 25. Suppose -z + 1 = -p. Let o = -29894 + 30026. What is the greatest common divisor of z and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x**2 + x - 3. Suppose n - 2 - 2 = 0. Let r(a) = 1 - 2 + a - n*a**2 + 5*a**2 - 2*a**2. Let f(z) = -2*k(z) + 5*r(z). What is f(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-532)\/(-40) + -6 + -3.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7*((-42)\/(-6))\/7. Suppose 88*q = 81*q - m. Does q = -16\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 996 and 125828.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*b - 13*b + 24. Let h(x) be the third derivative of 0*x + 0*x**4 - b*x**2 + 1\/60*x**5 + 0*x**3 + 0 - 1\/240*x**6. Factor h(a).\nAnswer: -a**2*(a - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rjjrttjmtrtaftfttr. What is prob of sequence trfj?\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 391328814*b**2*j - 143224904*j wrt b.\nAnswer: 782657628*b*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1*(sqrt(567) + 5)*-2 + ((sqrt(567) + 4 + 0)*-3)**2.\nAnswer: 630*sqrt(7) + 5239","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -30245 smaller than -29343?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -58*r**3 - 2*r**2 - 2*r - 1. Let f be l(-1). Let o = 56 - f. Put -2, o, 1, -4 in decreasing order.\nAnswer: 1, o, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25822520 and 1952?\nAnswer: 103290080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -17, 9.2, -3\/4?\nAnswer: 9.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**4\/5 - 959894*s**3\/5 + 115174081452*s**2\/5 + 115176961144*s\/5 - 230350082704\/5 = 0. Calculate s.\nAnswer: -2, 1, 239974","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/18)\/((-50)\/(-180)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r, 1 y, and 1 j when four letters picked without replacement from ryjrr?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*y = -161 - 51 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -23, -45, -67, -83?\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13288498 to the nearest integer?\nAnswer: 3645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + 0*i - 6*i - 5 - 2 - 6*i. Let m be q(-9). Suppose -n = -0*n - m. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 11, i: 2}. What is prob of picking 3 x?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 18 + 17. Suppose 3*u + 60 = k*u. Let j = -6 - -11. Solve 0 = -v - j*w + u, -4*v + 2*w - 40 + 12 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(-3)\/4*(-144)\/(-81180). Let f = x - -9219\/4510. What is the common denominator of f and -37\/18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 13*d**3 - d**2 - 9*d + 17. Let l = -139 + 142. List the prime factors of r(l).\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -19, -1, 1 in descending order.\nAnswer: 9, 1, -1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -89325, -357299, -803921, -1429191, -2233109?\n\"Answer: -89324*u**2 - 2*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, m: 3, t: 2, j: 1}. Give prob of picking 1 m and 1 a.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/5*(43556\/(-8) + -3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1186 + 3166 = 4*r. Suppose -y = -6*y + r. Suppose -2*b - b = -y. Calculate the highest common divisor of b and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*s**5 + 75*s**5 + 13*s**5 - 5*s**4 + 20*s**5 + 5*s**4 + (2*s**4 - 4*s**4 + 0*s**4 + (1 - 1 - 2*s)*(-1 + s**3 + 1))*(s + s - 3*s).\nAnswer: 129*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 15*i**2 + 3*i. What is the units digit of z(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-96)\/40)\/1 + 3\/(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77, -336, -775, -1394, -2193, -3172?\nAnswer: -4331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**3 + 4*g**2 - 3*g - 3. Determine m(-7).\nAnswer: 900","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 - 17*x - 30. Let u be g(-15). Solve -4*c + 30 - 10 = u for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33137 is divided by 635?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of -s**5\/30 + 379*s**3\/3 - 890*s**2. Let k(o) = -2*o**2. What is w(k(t))?\nAnswer: -8*t**4 + 758","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 7:59 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8064*z**2 + 9511*z.\nAnswer: -16128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -544\/7*w**3 + 16928\/7 + 17664\/7*w - 11952\/7*w**2 - 6\/7*w**4 = 0?\nAnswer: -46, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*b + 31*b - y - 38 = 0, -2*b - 3*y = 2*y + 34 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 f, and 1 b when three letters picked without replacement from {f: 6, l: 2, c: 2, b: 3, w: 1}?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 187123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 208\/20 - (-1 - (-6)\/15). Solve -7 = 3*z - x, 2*z = 3*z - 3*x - j for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-9)\/36*4 - (-62)\/12 and -51\/64.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of w**4\/3 + w**3\/3 - w**2 + 2*w. Let f be m(-2). Let d = f + -7. Solve p - 22 = 5*l, -3*p + 3 = -d*l - 15 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 88, 261, 548, 949?\n\"Answer: 57*w**2 + 2*w + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -68701\/3926 - 2\/1963. Calculate the common denominator of n and -2\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 0 + sqrt(320) + 1 + ((sqrt(320) - (sqrt(320) + 1 + sqrt(320)))**2 - sqrt(320)).\nAnswer: 16*sqrt(5) + 322","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + q + 5*z - 54597 = 0, -2*q - 4*z + 27306 = 0. Suppose -2*l + q = -22683. Let t = l - 326825\/18. Find the common denominator of 49\/2 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/5 + 356*c\/5 - 6042\/5.\nAnswer: -2*(c - 159)*(c - 19)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/11738002 less than or equal to 0.14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/369 - 353\/2952. Sort -0.5, 0.1, -2\/25, n, 2\/5 in decreasing order.\nAnswer: 2\/5, 0.1, -2\/25, n, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 241706 divided by 14218.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.039012 times -59?\nAnswer: -2.301708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 170*b - 2383. What is r(-183)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k + 4. Suppose -5*m + 14 = 4. Let b(p) = p**2 - 3*p - 3. Let x be b(m). Give z(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -135117 - 3?\nAnswer: -135121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171 = 4*o - 53. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196382 is divided by 722?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -921.\nAnswer: 92.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*z**2 - 88*z**2 + 59*z**2.\nAnswer: -126*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 201267?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (38151\/3297)\/(18\/42)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1582 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-945)\/420)\/((-155)\/(-124) + (-2)\/2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z = 5*l + 9*z - 2991, 0 = 3*l + 3*z - 1773. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/6355, -0.1, 0.0109 in ascending order.\nAnswer: -0.1, 2\/6355, 0.0109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 857 is divided by 40?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 4821 + 5627. Let z be ((-6)\/(-4))\/(8\/u). Let j = 13668\/7 - z. Find the common denominator of 23\/4 and j.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 163 - 155. Let r(f) = f**2 - 47. Let g be r(c). Is g smaller than 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 3. Let i be (-22)\/(-40) + 2\/8. Let v be 12\/21*8 - (-30)\/(-6). Put v, i, o in increasing order.\nAnswer: o, v, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 5, 0.3, -0.03919, -5, -0.2, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1668)\/2224 - 7\/(-2) - 112\/(-64).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 1, -9.\nAnswer: -32, -9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*z**2 - 39*z**2 + 36*z**2 - 219*z**2 - 195*z**2.\nAnswer: -355*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1242291596?\nAnswer: 2, 7, 13, 61, 55949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -7*m**2 + 4*m - 2. Determine p(2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -2 - (16 - (-5 + 21))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1624, -3277, -4930, -6583, -8236?\n\"Answer: -1653*q + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + ((-5 - -11) + (4 - 7) - 10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 0 - (600\/(-25))\/624*(-788)\/(-6)\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 315219 + 0?\nAnswer: 315219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -8*n - 1. Let i be d(-1). Suppose 4*x - 45 - 67 = 0. What is the highest common divisor of i and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 8, h: 8, n: 1}. Give prob of picking 1 n and 2 h.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 122*n**4 - 530*n**2 + 530*n**2 - 2*n**4 + 79*n - 79*n - 3*n**3 + 3*n**3 + 2*n**4 + (-2*n**2 + 3*n**2 + n**2)*(-n**2 + 3*n**2 - 4*n**2).\nAnswer: 118*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -360*m - 25 = -2*s - 365*m, -43*m = 5*s - 276 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 469 less than 464?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 108522.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c - 12. Let f be w(-5). Does -2\/5 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is bebcb (base 16) in base 4?\nAnswer: 2332233023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wpjwptptp. What is prob of picking 4 p?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.61 + -1.01. Which is the closest to -14? (a) -3 (b) w (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/8? (a) -20544 (b) -3 (c) -0.4 (d) 28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 482245, 964486, 1446725, 1928962, 2411197?\nAnswer: 2893430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 7:15 AM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 2. Let m = -5.1 + a. Suppose -65 - 31 = -16*z. Which is bigger: z or m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -589117\/85 + 6931. Is 0 > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zx when two letters picked without replacement from xxzzxzxzxzxxzxxxxx.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)\/sqrt(36) + -2 + -1*-6*(sqrt(13)*-3)**2)*1.\nAnswer: sqrt(13)\/2 + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9670 and -0.064?\nAnswer: 618.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2777280.\nAnswer: 2, 3, 5, 11, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m - 5. Let x be 4*(-4 + 27\/6). Suppose -x*n + 3 = 1. Let w(k) = 1. Determine n*z(g) + 5*w(g).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 6, -6\/245, -1\/2, -1\/7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/6240 (b) 0.05 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2 - 92522*d - 8041845.\nAnswer: -(d + 87)*(d + 92435)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 14*v**2 - 26*v + 8. Let r(l) = l**3 + 15*l**2 + 12*l - 17. Let d be r(-14). What are the prime factors of m(d)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -218103 (base 14) to base 3\nAnswer: -2010201121001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 divided by -32.\nAnswer: -21\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 5*u, -l + 3*u - 3 + 20 = 0. Let h(x) be the second derivative of -l*x - 1\/54*x**4 - 4\/9*x**2 - 4\/27*x**3 + 0. Solve h(d) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -578969.2 rounded to the nearest one hundred?\nAnswer: -579000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of -a**6\/40 + a**5\/6 + 3*a**2. What is the third derivative of u(k) wrt k?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3 - 4)*((-3 + 0 + 1)*(-4*b + 2*b + b) + 5*b + b + 4*b + 3*b + 0*b - b) as r + w*b and give w.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1176 and 204.\nAnswer: 19992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c + 4. Let v be p(3). Let g = -10 - -5. Let u = g + 9. Solve -x = 3*r - 5, -r + 0*r = u*x + v for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 301, 1211, 2735, 4879, 7649, 11051, 15091, 19775?\nAnswer: 25109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1527 and 21999.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -65.82 - 1.18. Let h = 117 + m. Let u = -49.77 + h. Round u to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/((-1)\/15*2). Let c = 93 - t. What is the units digit of 4\/10 + c\/30?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.02 - -1.98. Let i = 4 - w. Let k = i + -2.3. Which is the biggest value? (a) -0.4 (b) k (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17606, -114968, -379244, -893894, -1742378, -3008156, -4774688?\nAnswer: -7125434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 238159*x**4 - 2*x**3 - 7*x**2 - 8964586*x?\nAnswer: 2857908*x**2 - 12*x - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xii when three letters picked without replacement from {i: 2, m: 3, f: 1, x: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8021 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (11 + -21 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6*2 + (-2 - 15). Which is the nearest to 0? (a) -2\/73 (b) 6 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 501*s + 41 = 502*s, -3*m - 24 = -3*s for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 160707 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 24?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/16 - 70\/(-8). Calculate the highest common divisor of t and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*a - 184 - 360 = 0 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 492\/(-2)*(-1 + 0). Let x be ((-25)\/(-5) - -4) + -3 + -3. Suppose 2*l = -x*l + 4*m + o, -2*l = 5*m - 72. Does 23 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -22*q + 273. What is j(12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -968, -3849, -8642, -15347, -23964, -34493, -46934?\nAnswer: -61287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**14\/h**(-3))\/(h\/h**(-3\/2))**(-9\/14) assuming h is positive.\nAnswer: h**(521\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9704, -17474, -23318, -27236, -29228, -29294, -27434?\n\"Answer: 963*w**2 - 10659*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -27.11 times 3\nAnswer: -81.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3*x - 3*x + 12*x**2 - 42*x**2. Let o(r) be the third derivative of 0 + 0*r**3 + 1\/24*r**4 + 0*r - 16*r**2. Calculate s(o(c)).\nAnswer: -30*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3086 and 5.12.\nAnswer: 1.580032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x. Let l(i) = 6*i + 6. Let o(b) be the third derivative of b**3\/6 + 2*b**2. Let w = 8 - 2. Let f(a) = w*o(a) - l(a). Determine h(f(c)).\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v + 381 - 1151 = 0. What is the highest common factor of 30 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/84 and 95\/150612.\nAnswer: 150612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - j**2 + 5*j + 2. Suppose 0 = 17*h - 13*h + 12. Let u be x(h). Suppose -u*c + 2350 = t, 0 = 2*c + t + t - 932. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 + 24. Let o(f) = -13*f**2 + 4*f + 5. Let t(a) be the second derivative of -5*a**4\/3 + a**3 + 4*a**2 + 17*a. What is y*o(g) - 5*t(g)?\nAnswer: -4*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000137312 to six dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180)*-1 + sqrt(180))*-5)\/(sqrt(36)\/(sqrt(16)\/sqrt(4)) + sqrt(9) + sqrt(729)*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of 2*k**3\/3 + 5. Let n(i) = -i**2. Give -4*n(g) - z(g).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6018913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b + 14. Suppose 59 - 3 = -4*v. Let j be s(v). Solve -6 = -3*q, c + j*q - 3*q = -11 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1294939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.323 + 0.223. Let w be 2*-3*(-3)\/90. Which is the nearest to -0.2? (a) 2\/9 (b) w (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -452, -909, -1366, -1823?\nAnswer: -2280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19326699 is divided by 1615.\nAnswer: 1609","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95476312?\nAnswer: 2, 23, 518893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19210.\nAnswer: 2, 5, 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 72 - 60*i + 27*i + 39*i. Let c be s(-12). Solve 19*k - 22*k - 3 = c for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 390.46116078 rounded to two dps?\nAnswer: 390.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 62298 to the power of 1\/2, to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2646 - -2666. Solve -32 + k = -12*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 230 - 108 = 2*u + u, 138 = 7*a - 4*u for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -24, 5, -5, -404.\nAnswer: -404, -24, -5, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (-4 + -79 - (-70 + 46 - (-26 - 3)))?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3056*c**4 + 14*c**2 + 21988*c + 4?\nAnswer: 36672*c**2 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -8*g + 6*g. Let h = 186 + -111. Calculate the greatest common factor of g and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -3.8. Let k = 0.8 + d. Let q = 1.2 + -1.2. Which is the smallest value? (a) q (b) k (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + k = 22 - 11, k + 21 = 4*a. Suppose 9*n - 1053 = 5*n - c, a*c + 276 = n. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 45 - 8 = 0. What is the greatest common divisor of 74 and h?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 241855 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -943, -1817, -2703, -3613, -4559, -5553, -6607, -7733?\nAnswer: -8943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -22.1 and -2.16.\nAnswer: 47.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/((-33)\/(-9) - 3). Is -2 at most o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 142, 300 in increasing order.\nAnswer: 1, 142, 300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 708.\nAnswer: 3540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*c - 15 = 0. Let i = -16 + 31. Solve s - i = -5*r, c*s - 2*r = 4 - 10 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 5*x - 2*x - 771, -4*x + 1026 = 5*d. Is x a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 - 25 = -8*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 155 + -167. What is the third biggest value in 0.5, -4, 2, g?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 w when two letters picked without replacement from {g: 2, e: 1, y: 1, w: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*a + 60*a + 247*a + 76*a + 69*a - 460*a.\nAnswer: 84*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5}. What is prob of picking 3 e?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -18 - 6. Let d be 1\/(0 - -1) - -1. Suppose 2*s - 4*w + 5*w - 4 = 0, 5*w = d*s + f. Which is smaller: s or -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {o: 3, b: 2, j: 10, f: 4}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -290093 or -290092?\nAnswer: -290093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 18301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(136)\/((sqrt(48)*-5 + sqrt(48))\/sqrt(6)).\nAnswer: -sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 5*x**2 - 23*x - 129. Calculate s(-8).\nAnswer: 375","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y + 8. Let z = -15 - -9. Let k be x(z). Find the third derivative of 6*t**k - 2*t**6 + 0*t**3 - 3*t**3 + 3*t**3 wrt t.\nAnswer: -240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/203623 and -37\/16841.\nAnswer: 2239853","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -476273\/130 smaller than -3664?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -145, -7, 0.03, -2?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(4)\/(sqrt(2) - sqrt(6)\/(sqrt(3) + (sqrt(27) - sqrt(3)))) + -4*(2*sqrt(8)\/sqrt(4) + (sqrt(2) + 1 + -3)**2).\nAnswer: -21 + 19*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 5*m - 21. Let i(r) = -3*r + 14. Let n(f) = 8*i(f) + 5*k(f). Let x be n(-4). Suppose -b = x*b - 56. Does 14 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from {x: 6, p: 7, r: 2}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -7, 3\/7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 78\/13*(-5 - 2). Let y be a\/(-28)*(-8)\/(-3). Solve -2*o - 12 = 3*t, 0*o + y*o = -12 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 6 = 5*c, 0 = 4*w - 2*c - 16. What is the highest common factor of 10 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -52? (a) -18 (b) -3 (c) -1.86 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mztbtmzjttmtz.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1190?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 7*g + 3 = -3*y, 2*y + 1 = -g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1120110323031 - 1?\nAnswer: 1120110323030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 5*f**2 - f + 3*f**2 - 7*f**2. Let u(j) = 2*j**3 - 2*j**2 + 2*j. Calculate 3*r(g) + u(g).\nAnswer: 2*g**3 + g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -2*j + 35, 3*c - 41 = -4*j + 2. Suppose 2*v + 1 = -j. Let n = 1 - v. What is the highest common factor of n and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - 5*m + 4*m)*(2 + 5*m**2 - 2*m**2 - 5*m**2) + m**2 + 2*m**3 - m**2 + (3 - 3 + m**2)*(m - 2*m + 3*m).\nAnswer: -2*m**3 + 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 410 and 190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.06*204.\nAnswer: 216.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -911, -1825, -2739, -3653, -4567, -5481?\n\"Answer: -914*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-10) - 32\/(-20). What is the common denominator of (-869)\/(-18) + (-2)\/(-9) and (n\/(-24))\/(-5 - 704\/(-141))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -987 + 633 = -118*z. Let q = -12 + 20. Let a(o) = o**2 - 7*o. Let s be a(7). What is the nearest to -1 in s, q, z?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - 5964?\nAnswer: -595c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1651627362 divided by -231.\nAnswer: 7149902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 1\/2 (c) -319 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 1. Let m = v + -6. Let l(f) = 10*f - 133. Let w be l(13). Sort m, -5, w, 4.\nAnswer: -5, w, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/6*(-15)\/(-2). Let r be 44\/85 - ((-64)\/(-20))\/8. Which is the closest to 4? (a) h (b) 3\/4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7002.947 years in millennia?\nAnswer: 7.002947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 215290 divided by 12.\nAnswer: 107645\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 4*j**3 + j**2 + 2*j - 5. Let t = 124 - 122. Let m = -22 + 34. What is the remainder when w(t) is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1085712.\nAnswer: 2, 3, 22619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 128*m**2. Let a(z) = -z**2 - 29*z + 95. Let g be a(-32). Let p(w) = 1. Let h(s) = s**2 - 1. Let l(f) = g*h(f) - p(f). What is l(n(j))?\nAnswer: -16384*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -407*q + 425*q - 108. Solve 28*h = 29*h + q for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 10*b**2 - 2*b + 2. Give c(-10).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 5*a - 116 = 0. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 3456481312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 10 = r. Suppose j = -3*j + 3*c + 14, -c = 2. Let n be (-30)\/(-18) - j\/(-6). Put -2, r, n in decreasing order.\nAnswer: n, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 209?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 8 = -2*t. Suppose t*o = -2*b - 12, 5*o + 24 = 5*b - 4*b. Let c(s) = 7*s**2. What is the units digit of c(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61 (base 15) to base 6.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**0)**25)**(-20)*(f**2\/(f*f*f**6))**(12\/13) assuming f is positive.\nAnswer: f**(-13072\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10, 6\/5, -4\/5?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -4*k + 46, -3*k + 19*a - 20*a = -32. What is the greatest common divisor of 333 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 - ((-476682)\/(-12879) - (13 - -2))\nAnswer: -1\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 13*q**2 + 35*q - 83. Calculate the remainder when a(4) is divided by 117.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4636 is divided by 310.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1020018411.\nAnswer: 3, 17, 263, 25349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 3*t = 10, -20 = 4*u + 7*t - 5*t for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.39, -2\/29, 10?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(891) - sqrt(891)*1))**2 - (sqrt(891) + 2*sqrt(891)*-6) - (3 + 2*sqrt(891) - ((sqrt(891) - (sqrt(891) + 0 - sqrt(891))) + 3 - sqrt(891)))**2.\nAnswer: -3564 + 99*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 1696, -0.1 in decreasing order.\nAnswer: 1696, 21, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/(-32)*2\/(-10).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -4*d - 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1114 and 0.4?\nAnswer: -445.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 - 4*k**2 + k**2)*(11 - 33 + 20 + k) + (3 + 0 - 1)*(-k**3 + 7*k**3 - 3*k**3).\nAnswer: 5*k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18962 - 29642. Let q = s - -24631. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 2:01 PM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8735 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76 - 77 - 126*p + 153.\nAnswer: -126*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 1153*q + 226015. Determine d(-196).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 256610 and 46726?\nAnswer: 766","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-68)\/10 - 8\/10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/3 and 59\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11843 at most as big as 6475?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 46e4cf (base 16) to base 12\nAnswer: 1680867","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(231) + sqrt(231) - sqrt(231))\/sqrt(11))\/(sqrt(21)\/(sqrt(7) - sqrt(700))).\nAnswer: -27*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-64)\/6 + 12\/(-36). Suppose -4*t + t - 210 = 0. Let k = j - t. What is the remainder when k is divided by 32?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*l + 5*l + 3*l + 30*l.\nAnswer: 22*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*b**2 - 84 + 84 + 10*b**6 wrt b.\nAnswer: 1200*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/87 and 145\/18?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s. Let v(n) be the first derivative of 0*n**2 + 18 + 0*n - 10\/3*n**3. What is k(v(q))?\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-54)\/(-10) + 4\/(-10). Suppose -4*s - 32 = -2*i, 0 = -2*i + 2*s + 17 + d. What is the tens digit of ((-3)\/i)\/((-1)\/150)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**1)**(-40)*(u**(3\/2))**(6\/25) assuming u is positive.\nAnswer: u**(9\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 5*s + 364 = -246. Is s greater than -0.38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 925, 1847, 2769, 3691?\nAnswer: 4613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12\/(-10)*1)\/((-16)\/(-720)). What is the tens digit of (-2)\/(-6) + 3\/(l\/(-3144))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-1))\/4*4\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24\/(15\/(-6) - -4) and 20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/4*(5 - 5). Let q(v) = v + d*v**3 - 5 - 2 + v**3 + v**2. Suppose -x + 5*n + 5 = 0, 2*x = -n - n - 2. Give q(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1683921 is divided by 31772.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 5*q = 50, -3*q + 0*q - 5 = -2*o. What is the greatest common factor of 56 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 7 - 14 = 0. Let y(p) = -p**2 + p**3 - 2*p**3 - 2*p + 9 - 5*p**2. Let l be y(g). What is the highest common factor of l and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7993 less than or equal to -295787\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 15*h + 23. Let n be k(4). Let s = n + -97. Suppose 0 = -w - 3, 3*w - 26 + 5 = 2*g. Which is greater: g or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007514311 rounded to six decimal places?\nAnswer: 0.000075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 260976 to the power of 1\/2, to the nearest integer?\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 804822.55*-4\nAnswer: -3219290.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.6 + 2.6. Let b be 1\/2*2\/(-5). Put o, b, 5 in decreasing order.\nAnswer: 5, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12155181.\nAnswer: 3, 4051727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -60*d**5 + 283*d**3 + 2*d**2 - 2141*d wrt d.\nAnswer: -3600*d**2 + 1698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 0.243, -3, 3\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.5 + 1.5. Let k = 14.65 + 0.35. Let q = -14.6 + k. Which is the closest to x? (a) 1\/3 (b) 0.2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.19 (b) -3 (c) 1078 (d) -5 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**2 - 15*a - 1751. Give p(35).\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.1 + -2. Do u and 2\/9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18609070?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4405496 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -83009156 and 0.313162.\nAnswer: -83009155.686838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 18 - 11 + 3*k)*(0*k - 3*k + k).\nAnswer: -6*k**2 + 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*i + 4843 - 4318 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-7) - 416*47\/(-42112). Suppose 3\/4*r**3 + 1\/4*r**4 + 1 - 5\/4*r**2 - f*r = 0. Calculate r.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 91 = -31. Calculate the highest common divisor of m and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 324 and 270?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2\/3)*y*y*y**5*y*y*y*y*y*(y*y*y**(-1\/3)*y*y)**(6\/25)*((y*((y**(-2)\/y*y)\/y)\/y)**(-5\/6))**(2\/95) assuming y is positive.\nAnswer: y**(17479\/1425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.1654 times -1\nAnswer: 0.1654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*p + 1707 + 2125. List the prime factors of p.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/(-3))\/1*(484 + -489)\/(0 - 20). Let f be ((-1)\/8)\/((-1)\/(-2)). Let l = -2.02 - -2. Which is the nearest to l? (a) f (b) 0 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 869 - 884. Which is the smallest value? (a) -32 (b) -0.5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -42501494*i**4 + 288636642 wrt i?\nAnswer: -170005976*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -16337*f**2. Let r(d) = 19689*d. Determine r(t(z)).\nAnswer: -321659193*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1307, 9, -5, -14, 3 in descending order.\nAnswer: 9, 3, -5, -14, -1307","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 155204 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of 0*v + 0*v**4 + 0*v**3 - 11*v**2 + 0 - 1\/15*v**5. Let k(r) = 0*r + 0*r + 3*r. Give k(q(f)).\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 9 = l, 2*j = j + 5*l + 12. Let z(n) = 20*n**2 - 13*n**2 - 9*n**2 + 6 - 5*n. Let a be z(j). Solve 2 = a*y - 10 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -70 - -155. Sort -0.2, o, -2\/13, 0.\nAnswer: -0.2, -2\/13, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = q + 2*k, 525*k - 1053*k + 7 = -3*q - 526*k for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 264318 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: What is the greatest common divisor of 32 and 4448?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1195*d**2 + 119 + 3*d + 0*d - 2374*d**2 + 1181*d**2 to the form t*d + h*d**2 + x and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + 630*z - 29108. Calculate k(43).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, x: 5, z: 2, d: 1, h: 1, o: 3}. What is prob of sequence wzx?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 5*w**5 - 115*w**4 - 845*w**3 - 725*w**2 = 0.\nAnswer: -5, -1, 0, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 v when two letters picked without replacement from {c: 1, j: 5, r: 1, v: 2}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 33571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**2 - 2*l + 2. Suppose 0 = -h - h. Suppose v + k - 4*k = -7, h = 2*v - k - 1. Suppose 5*p + 11 = v*m, 4 = 2*m - 2*p + 2. Determine t(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8.2 in 3, -1\/4, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-2))\/((-9)\/1080). Suppose 5*o - 5 - a = 0. Calculate the greatest common divisor of 39 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 559 and 435361498.\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 110012122 (base 3) to base 11\nAnswer: 6761","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -6*g - 2. Calculate the remainder when t(-3) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of 11*v**5\/10 - 8*v**2 - 107*v - 11. Let m(h) be the first derivative of c(h). What is the first derivative of m(w) wrt w?\nAnswer: 66*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 8*d + 57. Calculate p(-9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 3329814 and 33298143\/10 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2 + 36*w + 40.\nAnswer: -4*(w - 10)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -r**4\/6 - r**3\/6 - r**2\/2 - 24*r - 26. Let v(l) be the first derivative of u(l). Determine v(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235758 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54958 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1165\/699*(-36)\/(-10)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 2\/1078771?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2c2 - 1?\nAnswer: -2c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1168 and 803?\nAnswer: 12848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 2*m - 0 - 6, -3 = 5*a - m. Suppose 0 = 1161*l - 1159*l - 22. What is the smallest common multiple of l and 11 - (1 - (a + 0))?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*z = -74*z + 167616. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69454496?\nAnswer: 2, 2170453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -5*b**2. Let l(n) = -10*n + 7*n - 3*n**2 + 5*n**2 + 11*n. Calculate l(m(k)).\nAnswer: 50*k**4 - 40*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35 + 37. Let n(l) = -l**3 - l**2 + l + 1. Let s(q) = -6*q**3 + 3*q + 4. Let o(k) = -5*n(k) + s(k). Give o(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18553.\nAnswer: 18553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43 + 42 + 33 - 12*o - 121.\nAnswer: -12*o - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243 = -3*t - 3*w, -t + 6*t + w = -417. Calculate the common denominator of -67\/20 and ((-20)\/352)\/(3\/t).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 117.\nAnswer: 8\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 13.5. What is the smallest value in 3, o, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154*w + 419*w + 234*w + 110*w.\nAnswer: 609*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -8*v - 90. Let l be q(-13). Calculate the greatest common divisor of l and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 129 in increasing order.\nAnswer: 3, 5, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -560 divided by -8.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-1)*(7 + 2). Let d = t + -105. Let p = d + 24. Which is the second smallest value? (a) p (b) 2\/17 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1658779 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000019738 rounded to 7 dps?\nAnswer: -0.0000197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 3*f + 0 = 13, -4*f + 10 = b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 2:16 AM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {n: 2, a: 6}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2094520574 to the nearest integer?\nAnswer: 45766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 - 3) + -2 + 1. Let c = r + 4. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -5*y + 6. Let j(n) be the first derivative of -7*n**2 + 17*n + 1415. What is -8*g(z) + 3*j(z)?\nAnswer: -2*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 58 - 55. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4551 and 933510.\nAnswer: 38273910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 215 = -0*d. List the prime factors of d.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 1250, 4.\nAnswer: -0.3, 4, 1250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 234 - 22305142?\nAnswer: -22304504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -11*g**2 - 7*g - 13. Let u(d) = -7*d**2 - 3*d - 7 + 2*d**2 + 1. Let h = -5 - 6. Let a = -7 - h. Determine a*r(n) - 9*u(n).\nAnswer: n**2 - n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 101*p - 11. Let z(k) = 51*k - 6. Let t(x) = -6*b(x) + 11*z(x). Let g be t(-1). Suppose 2*y = -y + g. Solve 2*q + y = 7*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -50.6 + -13.4. Let u = -61.1 - s. Let w = u - 3. Sort 1\/7, 5, w in descending order.\nAnswer: 5, 1\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence odf when three letters picked without replacement from {d: 1, f: 1, o: 1, n: 1, r: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 33 (b) -1.9 (c) 1\/6 (d) 6 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 12 + 46 = 5*d, 5*d + 3*w - 18 = 0. What is the remainder when 21 is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, b: 3, j: 4}. What is prob of sequence jqq?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -2 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 27884496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6055.\nAnswer: 5, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**3 - w**2 + 2*w - 1. Calculate g(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1099710 is divided by 41?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 2*x**2 + 0*x)*(0 - 1 - 1) + 3*x**2 - 3*x**2 - 2*x**2 + 0*x**2 - x**2 + 2*x**2 + (3*x - x + 0*x)*(4 + 7 - 2)*(-2*x - x + 4*x).\nAnswer: 13*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjgrjgjjrrjrrrj. Give prob of sequence rgg.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -5*o, 2*o = 2*y - 198. Let i = y + -113. Is i smaller than -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -215, -575, -947, -1337, -1751, -2195, -2675, -3197?\nAnswer: -3767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/11, 1\/16, -3, -8?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**3 - 185*g**2 - 86*g + 552. Let n be u(-92). Let -4\/7*h**2 + 0*h + 4\/7*h**4 + n + 0*h**3 = 0. What is h?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192*x - o = 191*x - 3, 0 = -x + 3*o - 13. Sort 0, -5, -2, 68, x in decreasing order.\nAnswer: 68, x, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttttttbtttt. Give prob of sequence ttb.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h + 4*h + 13*h**2 - 3*h.\nAnswer: 13*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 806 and 1339?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 370 is divided by 359?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 22*z = 540, -3*z + 46 - 91 = -6*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1669985 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 147477 and 269963352?\nAnswer: 2969596872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2065.0000002153 + 2065. Round c to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1004 is divided by 339?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 1109 = 2*y, 0 = -y + 4*y + 9. Suppose 2*q - 97 - p = 4*d, -4*d = 2*q - 360. Suppose -4*r = r - q. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5821a + -6?\nAnswer: 58214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 580\/60)\/((-4)\/(-78))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/960 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 2*l**2 + 5*l + 14. Let g be v(-2). Suppose b - 3*s = 219, g*b - 1041 = -b - 3*s. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/11 (b) -2 (c) -0.5 (d) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of 1\/2*c**3 + 5*c**2 + 0 + 36*c. Suppose 0 = -5*i - 6 - 29. Give b(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66088.\nAnswer: 2, 11, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q - 12 + 7*q + 3*q - 106*q**2 - 3*q.\nAnswer: -106*q**2 + q - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 173777, 346958, 520141, 693326, 866513?\nAnswer: 1039702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1180 + 1181. Sort 0.172, s, -2\/11 in ascending order.\nAnswer: -2\/11, 0.172, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -194\/53 or -1.03?\nAnswer: -194\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12961 and 14456500.\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9\/5 or 676?\nAnswer: 676","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 14 = 2*i. Which is greater: 13\/2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*k - 65638 = 33489. What are the prime factors of k?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**3\/6 - 15*o**2\/2 + 265*o\/3 + 200.\nAnswer: -5*(o - 8)*(o + 2)*(o + 15)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -263*k - 1. Let o(x) = -59*x**2 + 2. What is o(i(d))?\nAnswer: -4080971*d**2 - 31034*d - 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/5 - 3\/(-15). Suppose 401998 = -2*a + d, -4*d - 8 = -r*d. Round a to the nearest 10000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5600778291?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -4, -596 in descending order.\nAnswer: 5, -4, -5, -596","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3644076 plus -2363.031?\nAnswer: -3646439.031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6708?\nAnswer: 2, 3, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 v, and 2 o when four letters picked without replacement from oocvcovoo?\nAnswer: 20\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 73155 or 73227?\nAnswer: 73227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -99.6 - -7059?\nAnswer: 6959.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -m**3 + 0 + 1\/12*m**4 + 5*m + 0*m**2. What is the second derivative of l(s) wrt s?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 27*v**5 - 7737*v**4\/4 + 33807*v**3\/4 - 15939*v**2\/4 - 9435*v\/4 - 201 = 0.\nAnswer: -1\/4, -1\/9, 1, 4, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 940 and 60551510?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -4*j - 4. Let k(h) = -2*h - 2. Let d be 6\/(-5) + (-2)\/(-10). Let f = d - -6. Suppose -f*g - 4 + 19 = 0. Determine g*w(r) - 5*k(r).\nAnswer: -2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by ((-51)\/(-6) + -6)*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1542 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z + 5*z + 14*z**3 + 0*z - 360*z**3.\nAnswer: -346*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -3*(sqrt(128) - (-3 + sqrt(128) + 3))**2)*6.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2*z**3 - 2)*(-4*z - 2*z + z) in the form n + b*z**3 + w*z + h*z**4 + k*z**2 and give h.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 1514?\nAnswer: -1511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/12 - 638\/(-132). Suppose l*a + t = 5*t + 17, 8 = 4*t. Solve 5*x = 3*n - 32, -3*n = -a*x - 2*n - 24 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**12\/t*t**(-4\/5)*(t\/t**22)\/((t**(-24)\/t)\/t) assuming t is positive.\nAnswer: t**(76\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*l + 79 + 297 = -472 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 - -2686 - (-10)\/(-2). Suppose -15*t + 17*t = z. What are the prime factors of t?\nAnswer: 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/((-4)\/(-8)))\/25.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w\/(w\/w**2))\/w)**(1\/27)*(w**(-1)\/w)**(-1\/70))\/(w**(2\/3)*w**(-1\/7))**(1\/4) assuming w is positive.\nAnswer: w**(-107\/3780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (75\/90)\/((-30)\/(-18)*1)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 26 = -3*a, -5*a - 5 = -4*k + k. Suppose 0 = -k*g + g + 44. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -79\/105 - -3\/35. Let j = -427\/456 + 25\/24. Let f = 0.44079 + 4.55921. Which is the closest to -1\/2? (a) h (b) f (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 10:44 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o + 7*o - 371 + 0*o - 365 + 796.\nAnswer: o + 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmggmggmg. What is prob of sequence mgg?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2431235 + 3?\nAnswer: 2431242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 7*d**2 + 9*d + 7. Calculate p(8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2185 + -2185.1. Let n = -0.36 - 0.04. Which is the biggest value? (a) m (b) 0.1 (c) -0.2 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 708220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 207395155 a multiple of 283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3*m**2 - m + 4. Let g be v(1). Let z(k) be the third derivative of 1\/120*k**5 + 6*k**2 + g + 0*k + 0*k**3 + 1\/96*k**6 + 0*k**4. Factor z(p).\nAnswer: p**2*(5*p + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 + 35. Let m(q) = 3*q - 34. Let h be m(i). Suppose -6*r + h = -718. What are the prime factors of r?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1186265?\nAnswer: 5, 19, 12487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qt when two letters picked without replacement from {a: 3, q: 1, n: 1, t: 1, i: 5}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 33?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/3 - 123401*l + 370202\/3.\nAnswer: (l - 370202)*(l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 508343 less than 508343?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -386, -774, -1164, -1556, -1950, -2346?\nAnswer: -2744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16643948.98 + 16643937.38000157. Let r = 11.628 - 0.028. Let v = p + r. What is v rounded to 7 decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3762555 to the power of 1\/2, to the nearest integer?\nAnswer: 1940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 336 - 221. Let d = n + -114. Which is the smallest value? (a) -2 (b) d (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73b (base 14) in base 3?\nAnswer: -1221210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-13)*m\/(m\/(m\/(m*m\/(m**(1\/2)*m)))))\/(m**(-4\/3)\/m**5))**11 assuming m is positive.\nAnswer: m**(-407\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*c - 4*c. Let f be (1 - c) + 3 + 2. Find the first derivative of -16 + 6*r**4 + f + 0*r**4 wrt r.\nAnswer: 24*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 839454.\nAnswer: 839454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14511 divided by -4837.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 4 + (-36)\/(-18 - -9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d = 16*d - 1918. Let l = d + 1796. Round l to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1073 - -511. Let j = t + 585. Sort -0.3, 1, j.\nAnswer: -0.3, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhwxatra. What is prob of picking 1 t and 1 w?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 56, -2, 21, 5, -4 in descending order.\nAnswer: 56, 21, 5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-132)\/32)\/(21\/(-14))?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 48902?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155*f - 34*f - 1191770 = 438584. What is the thousands digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31281790451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 9*x + 8. Let t(r) = r - 1. Let n(h) = -m(h) - t(h). Let j be 8\/4 + 2 + 1. Let b be n(j). Solve -5*a + 28 = 2*l, l - b = -2*l + a for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 3*v - 2*v)*(-18*v + 2*v - 38*v).\nAnswer: 108*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 17*l - 19. Suppose 0 = 2*g - 91 + 59. What is i(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/15186468 and 1\/60.\nAnswer: 75932340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/256584 and 2\/7537155?\nAnswer: 60297240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24224935 is divided by 94.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o - 4 + o + o. Let i be m(3). Let h(b) = 54*b**2 - 2*b - 1. Is h(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -52*t - 206. What is the thousands digit of p(-107)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence acaf when four letters picked without replacement from aafaaiafc.\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 36\/21*(-5 - (-198)\/36). Find w, given that 0 - 2\/7*w**2 + i*w = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -9*q + 1. Let z be h(-2). Differentiate z*o**2 + 45*o**2 - 123 - 27*o**2 wrt o.\nAnswer: 74*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -73 - -30. Let n = o + 60. Suppose f - s - 156 = 0, n - 5 = 3*s. Does 14 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5065161 + 4*w**2 - 5065134 - 43*w**2 in the form i + k*w**2 + v*w and give i.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.48654 kilometers in centimeters?\nAnswer: 9348654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4*((sqrt(1331) + 6*(2 + sqrt(1331)))**2 + sqrt(1331)*-2 + -4)*5 + -4).\nAnswer: 182600*sqrt(11) + 6535920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**3 - 5*f**2 - 3*f + 4. Let o be z(4). Suppose -2*k + 3*k = 3. Suppose 0 = k*n - 67 + 7. Calculate the highest common factor of n and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i + 106 - 466 = 0. Suppose -i = -2*d + 87. Suppose -328 = -4*w + 332. What is the greatest common divisor of d and w?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 13?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3054743 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + 4*h**2 + 40*h - 44*h - 4. Let u(s) = 14*s**2 - 11*s - 11. What is 11*j(b) - 4*u(b)?\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-102*u**4 - 36*u**3 + 72*u**3 - 36*u**3)*(10929 - 20363 + 10182).\nAnswer: -76296*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.4 - 0. Let d = 2127\/8300 + -13\/2075. What is the closest to -2 in -7, d, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -11. Suppose 2*c - o = 5*j, -j = -4*c - 7 + 23. Suppose 4*g + 13 = a + 6*g, 3*g = c*a + 3. Is 3 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -1 + 1 + 2*m**2. Let t(p) be the second derivative of -p**5\/12 + p**2\/2 - 6*p. Let j(a) be the first derivative of t(a). Calculate x(j(b)).\nAnswer: 50*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -10221?\nAnswer: -10214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -21650 and 0.0837?\nAnswer: -1812.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 7*f = -9*f - 8, 4*f - 84 = -47*r + 1 + 5 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.085402 take away -2130?\nAnswer: 2129.914598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 808343315 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -107139, -108307, -110255, -112983, -116491, -120779, -125847?\n\"Answer: -390*q**2 + 2*q - 106751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**5 + 6*k**4 - 36*k**3 + 42*k**2 - 15*k = 0. What is k?\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4378553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-29 - 793935\/(-10))\/(-1 + (-3)\/(-2)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2308*v**2 - 3936 + 3936)*(-v**2 + v**2 - v**2).\nAnswer: -2308*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14475 and 85499.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*k + 3*k + 5*k)*(3*k - 2*k - 2*k) + k**2 + 4*k**2 - 6*k**2)*(-k + 2*k - 4*k)*(-8 + 15 - 3).\nAnswer: 48*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (0 - 5) - 9 - 9) + 14 + 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppplplarr. Give prob of picking 2 p.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*b - 12*b - 64 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 9 = 2*v - 28, 13 = 5*o + 4*v for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 4122437*h - 1 + 1 - 4094840*h as q + y*h and give y.\nAnswer: 27597","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/3 + 17060*q\/3 - 72760900\/3.\nAnswer: -(q - 8530)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 3*o**2 + 4*o + 5. Let z be u(-4). Suppose 12*j - 203 = z*j. Calculate the highest common divisor of j and 232.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 411458*g**5*x - 2*g**4*x**3 + g*x**3 - 123007*g*x**2 + 3*g + x**3 + x**2 wrt g?\nAnswer: 8229160*g**3*x - 24*g**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of -3*b**5\/20 - 3*b**4\/4 - b**3 + 852*b. Factor t(k).\nAnswer: -3*k*(k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.44 + -0.24. Let u = -0.469 - 3.531. Put f, u, 1.9 in increasing order.\nAnswer: u, f, 1.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*i - 3*i**3 + 9*i + 5 + 5*i + 1 in the form f*i**3 + q*i + j*i**2 + a and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -9830 to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 3:28 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(156) + sqrt(156)*1 - sqrt(156))*-6 - sqrt(156))\/((sqrt(84) - sqrt(84)*-4)\/sqrt(7) + sqrt(12) + sqrt(12)) + 5).\nAnswer: -20 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 + 9. Let u be 0 - 262\/(-10) - 21\/105. Let k = u + w. Solve -k + 25 = -4*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 178391964?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + 16*i + 53. Calculate b(-14).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 300 + -284. Suppose -b*c + 399 = -15*c. Is c a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-69)\/(-115))\/(27\/(-30)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1827 - -1832. Put 2, -1, u, -3 in descending order.\nAnswer: u, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssqdyvkvy. Give prob of picking 1 k and 1 q.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 2:49 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.97329261 + -1.9732. Round h to six decimal places.\nAnswer: 0.000093","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 12:44 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.1, -1\/9, 0.5, 3, -0.053, -40?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -777 greater than or equal to -3889\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4889*d**2 - 5187*d**2 + 10491*d**2.\nAnswer: 415*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/1 + -2 - 34. Let a = -12 - l. Suppose -a*q + 1336 = -16*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 4*h**2 + 202*h + 1314. What is o(-6)?\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*u + 37*u - 5595299 = 0. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1288597 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/12*((-96)\/18)\/(-4).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 82, 104, 114, 106, 74, 12, -86?\n\"Answer: -i**3 + 29*i + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 380 and 400007?\nAnswer: 8000140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t + 13*t**3 + 7*t**3 - 32*t**3.\nAnswer: -12*t**3 - 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 8:48 AM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 5*u = -245, -b - u + 40 = 2*u. Suppose 7*p + 4*g - 10 = 4*p, g + 5 = 3*p. Suppose p*r - 7*r = -b. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -121 + 126. What is the second derivative of 19*k - 68*k**4 - 30 - 12*k - 8*k - k**q wrt k?\nAnswer: -20*k**3 - 816*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + (-3 - (-1 - 1)). What is the units digit of 0 + f + (-6 - -7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2321233, 4642474, 6963715, 9284956, 11606197, 13927438?\n\"Answer: 2321241*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-8 + 12 + -9 - 9).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 62*v**2 - 66*v - 184. Let o be w(-63). Let x(i) = i - 1. Let f be x(4). What is the closest to -4 in f, 2\/5, o?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 33*c**2 - c. What is the least common multiple of 18\/2 - (-60)\/(-6 + -4) and f(-1)?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 8*o + 3*o, 0 = 5*l + 5*o. Solve 3*i + 5 = -4*h, -5*h - 10 + l = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 9:56 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(2\/(-8)) + 3. Suppose 0 = i*z + 9 - 23. Solve 0 = j - 3*b + 4, b - 8 = -2*j - z for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16219 rounded to 2 decimal places?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, -204, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**0)\/s)**(-2\/29)*(s**(2\/5)*s)**(-1\/70)*((s*s*s**8*s)\/(s*s**(2\/13)\/s))**(-4\/15) assuming s is positive.\nAnswer: s**(-1893\/650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7014941 by -4.\nAnswer: 7014941\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(-4))\/v)**17)**(5\/19)*(v*v\/(v\/(v**(-7)*v)))\/v*v*v\/v**(-5\/2)*(v\/(v\/v**(-2\/9)))\/(v*v**(-8)) assuming v is positive.\nAnswer: v**(7925\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/10 of a kilogram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/((-40)\/5))\/(25*(-96)\/1200)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-1) + 4*-1. Let n be (-4)\/a*(-12)\/2. Put 4, 0, n in decreasing order.\nAnswer: 4, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 + 41342240?\nAnswer: 41342224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5 - 1 = 0. Find the second derivative of w*c**4 - c**5 + c**4 - 3*c**4 + c wrt c.\nAnswer: -20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 1430 = -4*k, -2*k + 830 = -5*a + 111. List the prime factors of k.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 + -15.02255?\nAnswer: -14.72255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5303, 5308, 5313, 5318, 5323, 5328?\nAnswer: 5333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 + 73. Suppose 5*n - g - g - 54 = 0, -n = 5*g. Calculate the highest common factor of n and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 12*j - 7*j**2 + 31*j + 8*j**2 - 29*j - 22*j**2 in the form p + d*j + y*j**2 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + ((-12360)\/2100)\/(15\/75).\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 577 + -368. Is a a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of -5*t**4\/12 - 7*t. Let a(v) = v. Determine a(z(x)).\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 344.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 t when two letters picked without replacement from wit?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1125 - -1205 - (-4 + -2 + -17)?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.48 - -1.48. Let y(q) = 2*q**2 - 15*q + 32. Let x be y(4). Which is the smallest value? (a) 3\/7 (b) h (c) -0.13 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -12*t + 119. Let g(h) = 6*h - 56. Determine -13*g(u) - 6*y(u).\nAnswer: -6*u + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 22*j - 21. Let t be n(-23). Solve 5*w - 41 = -4*p, -5*p - t*w + 3*w + 15 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 1)*(33*g - 4*g - 4*g)*(0*g**3 - 3*g**3 + 5*g**3).\nAnswer: -150*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -40*w**2. Let p(o) = -266463*o**2. Determine p(n(k)).\nAnswer: -426340800*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -227002, -17 in ascending order.\nAnswer: -227002, -17, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1 - a**2 - 4 + 3 + 2*a**4 wrt a?\nAnswer: 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4750 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 - 26*b + 360. Give g(14).\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/11, 8, 20, 35, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -185 + -30745?\nAnswer: -31041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 37*x**2 + 11323*x + 306.\nAnswer: (x + 306)*(37*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -135, -54, 27?\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -63237920697 plus 28.97?\nAnswer: -63237920668.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 17*i - 12*i. Let w(x) = 2*x**2 + 11*x + 4. What is the remainder when w(i) is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 3*t**2 - 5*t + 10. Let h(y) = 6*y**2 - 10*y + 21. Let v(c) = 2*h(c) - 5*m(c). Let r(g) = 2*g**2 - 3*g + 4. Determine 5*r(u) + 3*v(u).\nAnswer: u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 j when four letters picked without replacement from {j: 2, u: 3, h: 1, n: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 312 is divided by 108.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11851765964 from 3.\nAnswer: -11851765961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7 + 1)\/(6\/(-4)). Suppose -5*p - 3 = 7, 4*p = -i*u + 20. What is the lowest common multiple of u and 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, c: 1, d: 1, g: 1, n: 1}. What is prob of sequence dgn?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1051586*f*w - 5702143*f + 4*w with respect to w.\nAnswer: -1051586*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 81*q**4 + 162*q**3 + 77*q**2 - 8*q - 4 = 0.\nAnswer: -1, -2\/9, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 431317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1314432 divided by 18256?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06491 rounded to 4 decimal places?\nAnswer: -0.0649","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 - 19. Suppose 0 = 12*g - 14*g - c. Sort 0, 3, g in ascending order.\nAnswer: g, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j**2 + 23*j - 47*j + 12*j**2 + 24*j.\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/u**(-11))*u)\/(u**(6\/11)*u))**(-38)*(u*u**1)**48\/(u**6\/u**(-3\/5)) assuming u is positive.\nAnswer: u**(29047\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bqiiiqiiqbiq. Give prob of sequence qb.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 2 f, and 1 x when four letters picked without replacement from xfxxxfa?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2509 is divided by 194.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 28*y**3 + y**2 - 10*y + 16. What is the hundreds digit of q(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/99 and 28\/49137?\nAnswer: 147411","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/7626 and -31\/15?\nAnswer: 38130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t - 4. Let n(p) = 1. Suppose -3*d + 0*d = 3. Let h(i) = d*b(i) + 6*n(i). Let l be h(5). Solve 0*k - 17 = -4*k + s, -2*k - 2*s + 16 = l for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(324) - (sqrt(324) + sqrt(324)*-3))\/sqrt(9)*-3)\/(-4*1*sqrt(12) + 1*sqrt(48)).\nAnswer: 9*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**3 - 142*d**2 + 64*d + 352. What is the thousands digit of o(-76)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 2*n + 121. Let q = n + -66. What are the prime factors of q?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2492 - -2492.000003245. Round x to 7 decimal places.\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5381 + -5377. Solve 26*g + 30 = -r*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 28 + 45. Suppose 2*z - 5*w - q = 6, 4*w + 32 = 5*z. What is the third derivative of -6*g**2 - 2*g**3 - z*g**3 - 3*g**3 + 2*g**3 wrt g?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18*c**2 - 4059*c*d**3 - 272256*d**3 - 3 wrt c.\nAnswer: -36*c - 4059*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -382369, -382245, -382121, -381997?\n\"Answer: 124*l - 382493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -366426868 - -5\nAnswer: -366426863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*a = -131*a + 184 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1007 + 105?\nAnswer: -b02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-1242)\/184)\/((-51)\/(-68))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1107358 and 190?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 184*c + 2 = -179*c, 2*p - 2*c = 4 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2220 = -5*v, -17*c - 4*v + 11163 = -12*c. Does 58 divide 64\/(-160)*c\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.3 + -7.3. Let h be 0 - (3 - 5) - (7 + 75). Let r = 558\/7 + h. Which is the closest to r? (a) 0.6 (b) -0.4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1762, -1745, -1718, -1681?\n\"Answer: 5*k**2 + 2*k - 1769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q, 1 j, and 1 i when four letters picked without replacement from mijjqwqqqjjqqj?\nAnswer: 75\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 822 + -817. Let t = 8 + -8. Let b = t + 0. Solve -v*i = -b*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4*sqrt(252)\/sqrt(4) + 3*sqrt(63)*-2 + sqrt(63))\/(5*(-5*(sqrt(54)\/sqrt(3) + sqrt(18)))\/sqrt(2)).\nAnswer: 3*sqrt(7)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -2\/5, 1\/297, 0.1, -2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -120*m**2. Let f(y) = -y**2. Calculate t(f(l)).\nAnswer: -120*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39 - (-14 - (1 + 9 + -25))) + 5.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5641 or 5631?\nAnswer: 5641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 2\/6239 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2 + 159*p**2 - 8*p + 0 - 158*p**2. What is the tens digit of h(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/3*6\/4. Let c(v) = -6*v**2 + z + v**3 - 4 + 5. Let d be c(6). Which is smaller: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 44253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - -5)*(-8)\/(-12). Suppose 33 = 3*l - o + 6*o, 2*l - q*o = 44. Does 16 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7038 and 13158?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 6 = 4*s. Suppose -s*g - 36 = -6*g. Solve 3*a = 2*w + 2*w + 14, -3*w - g = -3*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/((((x*x**(-1))\/x)\/x)\/x))\/x)\/x)\/x)**(1\/24)*x\/(x\/x**(-2\/21))*x**3 assuming x is positive.\nAnswer: x**(165\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2007593593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + v - 8 = 0. Let q(i) = -2*i - 16. Let y be q(-11). Suppose -j - v*h + y = 0, -5*j + 4*h - 4 = -20. Solve -j*s - 4*x = 0, 0 = -5*x + x for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(550)\/(sqrt(10) - 6*(sqrt(10)*-3 + sqrt(10))))\/(sqrt(80)*-1 + sqrt(125)*-2))**2.\nAnswer: 99\/8281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124*a**3 + 2 + 1 - 3.\nAnswer: -124*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 - 23.2. What is the second smallest value in 5\/2, -1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**2. Let s(z) = -1753278*z. Give n(s(h)).\nAnswer: 6147967490568*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -104, -407, -912, -1619?\nAnswer: -2528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3072 is divided by 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -11*n**7\/70 + 31*n**3\/6 - 23*n**2. What is the first derivative of s(o) wrt o?\nAnswer: -132*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of 133\/30*f**6 - 1 + 0*f**4 + 1\/6*f**3 - 47*f**2 - 55*f + 0*f**5. What is the second derivative of d(u) wrt u?\nAnswer: 1596*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1769 - -8887\/5. Let n = i + -8. Which is greater: n or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -12*r**4 + 448*r**3 - 11845*r**2\/3 - 13225*r\/3 = 0.\nAnswer: -1, 0, 115\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6 + 290\/50)\/((-2)\/(-6)). What is the closest to v in 4, -1, -0.5, 1.43?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 422 + -310. What is the remainder when 169 is divided by a?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -2\/13, 42\/19, 3\/233, 1\/6?\nAnswer: 42\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/w**(1\/2))**(18\/5)\/(w*w\/(w*w**3)*(w\/(w*w\/(w\/(w*w\/w**1)*w))*w)\/w*w) assuming w is positive.\nAnswer: w**(32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31580?\nAnswer: 2, 5, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 5*m + 50. Let x be t(-9). Sort -1, 0, -5, x in decreasing order.\nAnswer: x, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1423470 and 115.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -f + t - 10, 0 = -3*t + 6. Let b be (f + -5 - (-10)\/(-2))\/(-1). Determine g so that -24\/5*g - 4\/5 + 49\/5*g**b - 21\/5*g**2 = 0.\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 5*v - 63. Let s be w(7). Let o = s + 190. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8794, -17605, -26434, -35281, -44146, -53029?\nAnswer: -61930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -96 - 9?\nAnswer: -a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3\/11, 0.08, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**3\/4 + 521*f**2\/4 + 1039*f\/4 + 519\/4 = 0 for f.\nAnswer: -519, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**5 - 3*b**5 + 2*b**5 + (-3*b**2 + 3*b**2 - b**4)*(5*b - 2*b - b) + 0*b**5 + 4*b**5 - 3*b**5 + 31*b**5 - 2*b**2 - 43*b**5 + 67*b**4 + 7*b**5.\nAnswer: -7*b**5 + 67*b**4 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6242 + -146?\nAnswer: -6421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 763, 762, 761, 760, 759, 758?\nAnswer: 757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 240 = -297*g + 249*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 19*h**2 + 6*h - 6. Let o(z) = -55*z**2 - 17*z + 17. Let d(q) = 17*n(q) + 6*o(q). Let w(a) = -a. Give w(d(f)).\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 12:17 PM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1802767?\nAnswer: 631, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 13 = 5*n, 4*n + 313 - 172 - 221 = -5*w for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 2)*(-20*u**2 + 11*u**2 - 48*u**2 + (2*u - 2*u + 2*u)*(1 - 1 + u)).\nAnswer: -110*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -3, -15, 48 in ascending order.\nAnswer: -15, -13, -3, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/(-14)*2\/36*-2\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 13*t - 15*t - 44, 4*t = -c + 50. Calculate the remainder when 265 is divided by c.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*o + 851 = 907 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 12:05 PM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -1019*c + 306*c + 386*c - 1068*c as x + t*c and give t.\nAnswer: -1395","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 10:47 PM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 535 - -4?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.606 and 52433.\nAnswer: 84207.398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.88 - 133.12. Let j = -135.8 - g. What is the nearest to j in -11, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -14*o + 1. Let g = 10861 - 10854. Let r(x) = -7*x + 1. What is g*r(a) - 3*y(a)?\nAnswer: -7*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1222 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 5*b = -22, -z = z + 5*b + 4 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -248, -1056, -1862, -2666, -3468, -4268?\nAnswer: -5066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 8*d - 3*d. Solve 16 = 2*k - d*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**34*(m\/m**(3\/10))\/m)\/((m\/m**(1\/53)*m)\/(m\/(m**(-32)*m))))**(1\/75) assuming m is positive.\nAnswer: m**(11257\/13250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*s + 122 = 14. Solve 4*r - s = -4*w, 9*r + 1 = 3*w + 13*r for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1053119700 to the power of 1\/3, to the nearest integer?\nAnswer: 1017","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6624, 26457, 59508, 105777?\nAnswer: 165264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*o + 59. Let s = -15 - o. What is the highest common factor of s and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7087 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 370, 5, -1, -6, 3 in ascending order.\nAnswer: -6, -1, 3, 5, 370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 5*t = -10. List the prime factors of (4 - t)*38\/4.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 23, 43, 75, 119, 175, 243?\n\"Answer: 6*y**2 + 2*y + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w + 8. Let c be 25\/3 - ((-35)\/21 + 2). Let b be (-550)\/(-75) + c\/(-6). Let p(x) = 3*x - 7. What is b*p(r) + 5*m(r)?\nAnswer: 3*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -715.7607504 rounded to the nearest integer?\nAnswer: -716","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (490\/28)\/((-2)\/(-72))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 181.169 - 189.72. Let a = g + 0.051. Let l = 11.5 + a. What is the nearest to -1 in -6\/11, 0.4, l?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*z**4 - 2*z**4 - 4*z**4)*(-10 + 2 + 0 - 2) in the form c*z**3 + o*z**2 + f*z**4 + q*z + l and give f.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 j when three letters picked without replacement from {j: 2, q: 1, z: 9, e: 7}.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 * 821596.\nAnswer: -9859152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, n: 7}. What is prob of sequence yyn?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16753\/17 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -163 in -1\/18, -2\/7, 34\/23?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 102252 and 6756.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + sqrt(80)).\nAnswer: 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) 21 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-10619)\/(-82))\/(-4 - (-100)\/24). What is the highest common factor of z and 222?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 288\/(-45) + 19\/60\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -126 + 129. Solve 5*o - 5*b - 20 = 0, -2*o + t*b = -11 - 1 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w - 4 + 3 + 1. Let d(y) = -y**3 + 4*y**2 + 6*y - 6. Let f be d(5). Let t(s) = -2*s - 1. Let o = -4 + 1. What is f*t(g) + o*b(g)?\nAnswer: -g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-198)\/242 + (-4)\/22. Let g(y) be the third derivative of -y**6\/24 - y**5\/60 + y**3\/6 + 3*y**2. Calculate the smallest common multiple of 2 and g(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 18*u**2 + u + 21. Let h(d) = d**2 - 11*d - 28. Let r be h(14). Let w = r - 32. Is a(w) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1043*u + 300*u + 300*u + 436*u.\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 399600 by -6.\nAnswer: -66600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 17 = 4*m, 2*t + 2*m = -118. Let h = -167\/3 - t. Suppose -2\/3*w - h + 2\/3*w**3 + 1\/3*w**4 + 0*w**2 = 0. Calculate w.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1605.1 + 1605. Which is greater: d or -2\/3761?\nAnswer: -2\/3761","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2599.\nAnswer: 23, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1493\/120 + -62\/5. Let q(b) be the third derivative of 0*b + g*b**6 - b**2 + 0*b**5 + 0*b**3 + 1\/6*b**4 + 0. Find the second derivative of q(l) wrt l.\nAnswer: 30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 53624.05km?\nAnswer: 53624050000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**4 - 714*p**3 + 144146*p**2 - 2693670*p = 0 for p.\nAnswer: -505, 0, 21, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 422*w - 430*w - 8. Do -1\/4558 and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2182*v**3 + 8*v**2 + 6*v - 3. Let s(z) = 4363*z**3 + 14*z**2 + 14*z - 7. Let y(l) = 7*h(l) - 3*s(l). What is the third derivative of y(m) wrt m?\nAnswer: 13110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*v**2 + 80 + 61*v - 49*v + 73*v = 0. What is v?\nAnswer: -20, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -657*m**2 - 657*m**2 - 657*m**2 - 657*m**2 + 2609*m**2.\nAnswer: -19*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -2\/7 (b) -0.5 (c) 0.004 (d) -11\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12 - ((2 - 2) + -2). Let z = w - 9. Suppose -4*d - 4*n + 12 = 0, -6*n + 9 = z*d - 4*n. Calculate the lowest common multiple of d and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1962, -3962, -6014, -8118, -10274, -12482?\nAnswer: -14742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2 + 10 = 0. Let o be (-30)\/4*(-26)\/39. Let j be -2*2*-1*1. Solve -3*x - 5*n = -16, o*x = -j*n + t + 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 PM and 10:32 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, -0.25, -186.32, -15\/8 in descending order.\nAnswer: -0.25, -4\/7, -15\/8, -186.32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -9044 divided by 532?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1565*c + 1523*c - 989*c.\nAnswer: 2099*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-1 - (2 + (1 - 3))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 + 5.2. Let m = -33.1 - -33. What is the closest to m in 4, f, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -23, 1, 27, 55, 85, 117?\n\"Answer: o**2 + 21*o - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 69\/23*(9\/(-3))\/63.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 + 5 + 4\/((-20)\/(-5)). Solve -8 = -j*w - 5*k + 23, 0 = 4*w - 4*k + 8 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vwv when three letters picked without replacement from {w: 2, v: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -964, -1896, -2824, -3754, -4692?\nAnswer: -5644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196*o + 143*o = -4346. What is the remainder when 443 is divided by o?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 383663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1121 + -1020201?\nAnswer: -1012010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 60808050 times 0.2\nAnswer: 12161610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*y**2 + 2*y**2 - 21*y**2)*(-2*y + 4*y - 7*y + 9).\nAnswer: 140*y**3 - 252*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 6 (b) 2.8 (c) 1 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-669456)\/41643)\/(-16) + (-10 - -9) and 61\/5.\nAnswer: 23135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39834625 to the power of 1\/3, to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-2))\/(2\/(-12)). Let b(a) = -6*a - 10. Let g be b(k). Is g at least 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**(1\/12)*u)\/u**(-3\/5))**(17\/2))**37 assuming u is positive.\nAnswer: u**(94979\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-54)\/(-1168)*-18 + 393\/524. Let t(h) = -h**3 + 13*h**2 + 1. Let w be t(13). Which is smaller: k or w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -622404*c - 1163562*c + 11325118*c.\nAnswer: 9539152*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13799*u + 13898*u = -1089 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 11*f**2 - 7*f. Suppose -5*v = 4*h - 30, -21 = -4*h - h + 2*v. Let t(o) = -10*o**2 + 6*o. Let r(b) = h*c(b) + 6*t(b). Factor r(j).\nAnswer: -j*(5*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38768426.\nAnswer: 2, 19384213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13064893 to the nearest integer?\nAnswer: 3615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 13*i = 28. Let s = 14 + i. Suppose -2*q + 54 - 2 = s. What are the prime factors of q?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -2 (c) 2\/39 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 times -0.24?\nAnswer: 0.0168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*q - 66 = 6*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -309585, -309589, -309593, -309597, -309601, -309605?\nAnswer: -309609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -4*c**3 + 6*c**2 + c. Let x(j) = -3*j**3 + 5*j**2 + j. Suppose -41*z - 2*v - 4 = -42*z, z = -v + 1. Calculate z*b(y) - 3*x(y).\nAnswer: y**3 - 3*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) -2\/37 (c) -4 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p - g = -7*p - 8859, 3*g + 15 = 0. What are the prime factors of p?\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 25.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2*v + 5)*(2*v**4 + 2*v**4 - 2*v**4) + v**4 + v**5 - v**4 + 3*v**5 - v**5 - v**5.\nAnswer: 6*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7222 + 3618 + 3*j + 3604.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 26173271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 1)*(-3 + 3 - 7*r) + (-3 + 3 + 1)*(-3*r + r + r) + r + 2*r - r as c*r + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 155, 316, 467, 602, 715, 800?\nAnswer: 851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - -2. Let q be (-57)\/95 - 2\/((-20)\/206). What is the highest common divisor of m and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q*q**(2\/35))\/q*q**(-1\/10))\/(q**6)**35 assuming q is positive.\nAnswer: q**(-14633\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5*y - 18 = 0, 5*j + y = 2*j + 6. Which is the closest to j? (a) 2\/5 (b) 4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + 1*sqrt(13)*-1 - sqrt(13))*3*-4.\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(12)\/(2*sqrt(324)).\nAnswer: -sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + (6\/(-8))\/((-36)\/48). Solve -3*y - 3 = w, -5*y + 1 = 5*t + 21 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1\/4, 83, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -75.725 + 76. Let m = 0.025 + g. Which is the nearest to -0.3? (a) m (b) 3 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*q**3 - 10*q**3 - 3*q**4)*(-4*q + 0*q + q + (2 + 1 - 2)*(q - 2*q + 0*q) + 2*q - 5*q + q - 3*q - 1 + 1 - q + q - q).\nAnswer: 30*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + -18.07. Let g = 0.06999922 + w. What is g rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 188 and 164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -759704 (base 12) in base 15?\nAnswer: -26bacd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/4)*x**1)\/(x**1)**(8\/7))\/((x**2*x**2\/x)\/(x**(-1\/2)*x**5)) assuming x is positive.\nAnswer: x**(45\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 23 = 5*a - 1, -2*j = a - 32. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3*i = -5, 0*r + r - 13 = 3*i. Let w(l) = l. Let k(a) = 5*a + 7. Let d(f) = k(f) - 6*w(f). Let u be d(6). Sort 0, u, r in descending order.\nAnswer: u, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k - 3*k + 4*k)*(-3 + 3 - 2*k**4) - 7*k**5 + 4592*k**3 + k**2 - 2*k**2 - 4572*k**3.\nAnswer: -5*k**5 + 20*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -967198\/403 - -2400. Which is greater: j or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1184?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 - 159 - (-2 - 11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.6 or -52089514?\nAnswer: -52089514","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 8, 1, 1\/12, 3?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)*2)**2 + -3.\nAnswer: 1149","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -23*5218\nAnswer: -120014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2069 - 1148. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/(-18))\/(((-17)\/(-68))\/(26*3\/(-18)))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1689 - -15?\nAnswer: -1674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1100 and 49700.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 129 + -128.926. What is the second smallest value in -0.1, a, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a kilogram in grams?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l - 2. Let j(b) = 4*b - 4. Let q(d) = 5*i(d) - 2*j(d). Suppose 152 = 120*p - 448. What is q(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x + 9. Let l be q(-10). What is the remainder when 45 is divided by (-91)\/(-4) - l\/4?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6169824 by 144.\nAnswer: 42846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*a**2 + 5*a**2 - 2*a**4 + (a**2 - 2*a + 2*a)*(-3*a + 51*a - 6*a)*(-2*a - 19*a - 16*a + (5 + 1 - 5)*(-a - 3*a + 3*a)).\nAnswer: -1598*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -1010*a + 1000*a. Let l(m) = -6*m + 48. What is l(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1111001 (base 2) to base 4\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2633 - 2633.00012085. What is n rounded to five decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 30 = -3*h - 8*f, 4*h - 5 = 5*f. Suppose -h*j + 1800 = 4*l + 126, 3*j = 6. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**2 - 3. Let x(f) = 5*f**2 + 8. Let p = 45 - 55. Let z = p - -13. Give z*x(a) + 8*j(a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*h = 27*h + 4*j + 10, 0 = h + 4*j + 2. What is the third biggest value in -26, 0.04, h?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 400487.\nAnswer: 47, 8521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5790 - 5785. Sort -3, 0, -5, 9, f in decreasing order.\nAnswer: 9, f, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*3\/12 - -2. Is 3 a factor of 9*(-1 + 2) + b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6333, -5694, -5055, -4416, -3777?\n\"Answer: 639*v - 6972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-52)\/6)\/((-4)\/156). Suppose 0 = 3*b - k - 391. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1013707373 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3*h - 5. Let z be r(3). Suppose l - 122 = -2*b, 3*b - z*l = -2*b + 279. List the prime factors of b.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1411 less than or equal to 1116?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -83858 - -162919. Suppose n = 10*r + 21271. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 + 14*c + 20. Give u(17).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -65*b + 383*b - 3498 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 201.709 or -5.98?\nAnswer: 201.709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 4 + 9)*(-2*d + 3 + 0 + 0)*(-16 + 2 - 16).\nAnswer: -300*d + 450","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 617653614 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -114*x + 332. Let j(v) = 915*v - 2655. Let w(l) = -33*c(l) - 4*j(l). Differentiate w(o) with respect to o.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-5 + 16)) + (276 - 295).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 39*q**2 + 9*q - 19. Is b(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -8*g**2 + 2*g - 34. Let w(m) = -7*m**2 + m - 34. Calculate 4*w(u) - 3*z(u).\nAnswer: -4*u**2 - 2*u - 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 9*r**2 - 15*r + 103. Let d = 75 - 68. What is the hundreds digit of g(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 392 is divided by 4\/42 - (-10556)\/294.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -0*z - 5*r - 63, 4*z - 2*r + 186 = 0. Let o = 31 + z. Let c(u) = 5*u**3 - 6. Let i(q) = -11*q**3 + 13. What is o*c(s) - 6*i(s)?\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - s + 4015 - 19007, -2*o + 5*s - 14992 = 0. Let z = -90079\/12 - o. What is the common denominator of 0 + 0 + (-243)\/(-12) and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 32*u**3 - 46*u**3 - 43*u**3 + (-4*u**2 + u**2 + 2*u**2)*(0*u - 2*u + 4*u).\nAnswer: -59*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 3 - (-3 - (1 + -7))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 12, m: 2, c: 3}. Give prob of sequence mpc.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j*j*j\/j**(-6\/7))\/j)\/j**(1\/2)*(j*j**1)**(2\/61) assuming j is positive.\nAnswer: j**(2923\/854)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/(-15) + (-2814)\/(-27). Let a = -6800\/63 + o. Find the common denominator of a and -1 - (-106)\/(-8) - -1.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -381786420 to the nearest 1000000.\nAnswer: -382000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a. Let b(v) = -9*v - 691*v + 1165*v. Calculate b(q(k)).\nAnswer: -465*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.023 + -2. Let z = 0.023013 - d. What is z rounded to six decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9304 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 7:31 PM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 720 and 975510?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m - 5*m + 10 = 3*a, -3*a + 18 = -3*m for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.067 + -2.933. Let g = 2.092 - 0.052. Let l = g - 0.04. What is the third biggest value in l, -1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 43732?\nAnswer: 4372c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5113004 divided by 52\nAnswer: 98327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 11 = 4 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ouuo when four letters picked without replacement from ouooouuuuuuoo.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 4*a = 0. Suppose 5*l - 2 - 23 = a. What is the second derivative of 2*m**l + 6*m**5 - 11 + 11 + 6*m wrt m?\nAnswer: 160*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bkzk. Give prob of picking 1 b and 1 k.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qssqqss. Give prob of sequence qss.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91489 is divided by 391.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -570 - -569.9632. Let d = 0.0632 - h. Which is greater: d or 383?\nAnswer: 383","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1065)\/12*320\/(-200)*6\/(-12)\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2511, 5066, 7633, 10218, 12827, 15466, 18141?\nAnswer: 20858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 10:20 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(704)*-2.\nAnswer: -16*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 + (-5050)\/(-250))*130\/(-6)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -19*b + 22*b. Suppose -b*q + 2*q - 6141 = -4*t, 5*q = -5*t + 7620. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 122495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m = -49*m - 550 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-132) + (-10)\/(-11)*64\/832\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3435 * -3\nAnswer: -10305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 2)*(55*x + x - 18*x)*(0*x + 0*x - x)*(-1 - 7 + 8 + 19).\nAnswer: 1444*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 4.872246cm?\nAnswer: 0.04872246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 70*u. Let a be (-9 - 8\/(-1))*-2. Let b(d) = 2*d**2 + 66*d - 33*d - 33*d - d**a. Determine c(b(m)).\nAnswer: 70*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -4*c + 12. Let l be p(3). Solve l = 3*n + 5*f + 19, -f + 17 = -3*n - 5*f for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 42, 0.5, 4, 1, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + 1)*(1 + 0). Let h(p) = 1 + p + 4*p**2 + 3*p**2 - 5*p**2 + p - 28*p**3. Does 8 divide h(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -213233?\nAnswer: 213300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -4\/41, -1, -0.12, 0.6.\nAnswer: -15, -1, -0.12, -4\/41, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -5*c**2 + 0 + 0. Let f(z) = -2*z - 12. Let p = -24 - -12. Let h(x) = -1. Let t(a) = p*h(a) + f(a). What is d(t(y))?\nAnswer: -20*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 216\/324 - (0 - 12\/(-21))\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-17)\/((-119)\/252) + 5. Let p(u) = -h - 9*u + 88 - 47. Let x(r) = 10*r. Determine -5*p(i) - 4*x(i).\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-21)\/(-35) + ((-1244)\/5)\/(-2). Suppose -5*b - 110 = -a. Solve -4*q = 3*j, b*q + 3*j + 1 = -2 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -0.09, 1, 0.1 in decreasing order.\nAnswer: 1, 0.1, -0.09, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 88 and 55?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 3*k - 72 = 0, 3*s - 4*k = 19 + 39. Suppose 2*v = 5*v - 9. Let f be -33*v\/(27\/(-15)). Calculate the greatest common factor of s and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-4)*(-4 - 4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 6*b - 11. Let u be d(8). Suppose -2*a + u*s = 13, 4*s - 2 = 2*a + 6. Let y = 3097 - 3058. Calculate the remainder when y is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -706 rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10595\/8 + -1326. Let z = h - -23\/24. Which is the second biggest value? (a) 2 (b) 3 (c) z (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01238396028 to 4 dps.\nAnswer: -0.0124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 0, 0 = -4*l + d + 20. Suppose l*o = 5*j + 90, o = -j + 14 + 10. Calculate the common denominator of (-14)\/o + (-3)\/((-972)\/309) and 5\/12.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + u - 3, -2*q = q + 4*u + 30. Suppose 4*d + 48 = d. Let k = q - d. What is the remainder when 36 is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -2. Solve m + 1 = -0, 2*m + g = 4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-344*r**3 - 736*r**3 - 636*r**3 - 2*r**2 - 253*r**3)*(-3*r + 3*r + 3*r) as t + b*r**2 + i*r**3 + j*r + h*r**4 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -h - 0*i + 25, 3*h = i + 49. What is h rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*n - 5*d - 15469 = -59*n, 3*d = -n + 5175. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*sqrt(50) + -1*(sqrt(50) + 2*sqrt(50)))\/(sqrt(110)\/(sqrt(110)\/(sqrt(10) - (sqrt(10)*1 - sqrt(10))))).\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 4*j - 64, -3*r - 10 = 2. Calculate the smallest common multiple of 6 and j.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(-264)\/(-330)*(3 + -2 + 179). Which is bigger: h or -152?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 - 0. Let h = 160606 + -70827143\/441. Let l = 6\/49 - h. Which is the closest to 2\/7? (a) p (b) -0.1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*g**2 - 25*g**2 - 4*g**3 + 29*g**2 + (4*g**2 - 6*g**2 + g**2)*(-2*g - g + 10*g) + 0*g**3 - g**3 + 2*g**3 - g**3 - 3*g + 3*g.\nAnswer: -11*g**3 - 13*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 6)*(11*i - i + i + (-1 - 3 + 3)*(0 + 2*i + 0) + 1 - i - 1).\nAnswer: 56*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3744797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*f + 60*f - 9956 = 0. Calculate the remainder when f is divided by 75.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-468)\/(-2)*1)\/((-132)\/(-352))?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-2 + -6) - (5 - 7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (14 + -12 + -24) - 32.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -847, -3382, -7607, -13522, -21127, -30422, -41407?\n\"Answer: -845*g**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6784975\/88 - -77101. Let i = 15\/11 + n. What is the common denominator of 55\/6 and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1257336 to the nearest integer?\nAnswer: 1121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9 - -5)\/(1 - -1). Sort i, -172, 5 in decreasing order.\nAnswer: 5, i, -172","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 + 12*k**3)*(4 - k - 4)*(21 - 3 - 8) + 0*k**4 - k**4 - k**4 + (-4*k**2 - k**2 + 3*k**2)*(k**2 - 2*k + 2*k).\nAnswer: -124*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 8:37 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.311084480024 - 68.\nAnswer: -67.688915519976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 12*r - 13*r + 379760, -q = -2*r + 759511. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 231*f**4 - 231*f**2 - 1501*f - 3*f**5 + 12*f**5 + 1351*f + 141*f**3 = 0.\nAnswer: -25, -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 3) to base 5\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1103677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i**2 - 17262928*i + 18625542695824 = 0. What is i?\nAnswer: 2157866","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by -8?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.82735 + 0.785. Round u to 3 decimal places.\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -208451 rounded to the nearest 1000?\nAnswer: -208000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - 5*y + 6. Give a(-5).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l + 5. Let r be f(0). Suppose 28*b - 2*a = 32*b - 2, -2*b - 3*a - 9 = 0. Put 17, b, 0, r in descending order.\nAnswer: 17, r, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/4)\/(q**3*q)*(q**4*q)\/q**(-1\/6))\/(q**2\/(q\/(q**(-2\/5)\/q))*q**(-3)\/(q*q**(-6))) assuming q is positive.\nAnswer: q**(-11\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -5*w + 7*x + 16, 14 = 4*w - 2*x for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3655842400 to the power of 1\/2, to the nearest integer?\nAnswer: 60464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.496 + -3.496113. Round m to six decimal places.\nAnswer: -0.000113","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 54*f + 8*f + 55 + 689 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1490 + -5957\/4. Let k be (8\/(-7))\/(2\/(-7)). Factor 0 + 3\/4*h**k - q*h**2 + 1\/4*h**3 - 1\/2*h + 1\/4*h**5.\nAnswer: h*(h - 1)*(h + 1)**2*(h + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffc when three letters picked without replacement from {f: 6, c: 6}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(243)\/sqrt(9).\nAnswer: -5 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 + 18 = 18*n - 14. Sort -1, n, -167, 0 in increasing order.\nAnswer: -167, n, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45) + sqrt(1125))\/sqrt(9) + (sqrt(45)*-4)**2)*3 - ((-2*sqrt(200))\/sqrt(4))\/(sqrt(30)\/sqrt(3)*2).\nAnswer: 19*sqrt(5) + 2160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5650\/(-1356)*(-4)\/(-45). Suppose 0 = 5*w - 3 + 8. Which is smaller: d or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a minute in seconds?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 100312 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7562 to the power of 1\/2, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xdviqlv. What is prob of sequence iq?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/(-216)*-15*(204\/(-30) + 6). What is p in -2\/9*p**2 - 4\/9 + d*p = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -8*p**2 - 10*p + 10. Let g(b) = b**2 + b - 1. Let m(z) = -10*g(z) - r(z). Let s(i) be the second derivative of i**3\/6 - i. Calculate m(s(u)).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -110, -71, 16, 175, 430, 805, 1324?\n\"Answer: 4*o**3 + 11*o - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*p**2 - 25*p**2 - 30*p**2 + (-45 + 45 + 18*p**2)*(3 - 5 + 4).\nAnswer: -14*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -11*j**2 - j. Let m be q(1). Let d be 5\/21 - m\/28. Find p, given that 2\/3*p**3 + 0*p + 0 + 0*p**2 + d*p**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from vsvvvvvv?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 36\/23?\nAnswer: 36\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 4450*c - 64645. Give i(14).\nAnswer: -2345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -4*p + 15, -4*p - 12 = -3*p + 4*t. Suppose p = 5*b - 13*b + 1744. Let j = -128 + b. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a week in minutes?\nAnswer: 62496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 64*v + 64*v = -0*f + 129*v + 20, 0 = 3*v + 69 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1, -2, 2\/891?\nAnswer: 2\/891","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16\/(-12)*(-3)\/2. Let d(u) = u - u + v*u. Let f(g) = -g + 5. Let q(c) = c - 4. Let p(h) = -4*f(h) - 5*q(h). Determine d(p(i)).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0105638 to five decimal places.\nAnswer: -0.01056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1361?\nAnswer: 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*m**2 - 10*m**2 + 10*m**2 + 10*m**2 - 4*m**2.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 34\/6 - (-1)\/3. Suppose 4*c - 96 = -2*g, c - 3*g + 118 = l*c. List the prime factors of c.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/2 and 15\/10279.\nAnswer: 20558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.38799 to 1 decimal place.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 1)*11\/(0 - 110)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 1120*p**2. Let z(a) = 1327*a. Give m(z(l)).\nAnswer: 1972240480*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 193200008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p**2 + 8*p**2 - 5*p**2 - 1 - 10*p**3 - 2*p as h*p**3 + d*p + o + c*p**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 72 - 32. Let g = 196 - 214. Let x = a + g. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03901 * -0.4\nAnswer: -0.015604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*n + 281*n = 2158 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8625.33km in millimeters?\nAnswer: 8625330000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -6. Suppose -3*r - r + 8 = c. Solve 3*l - 20 = -r*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 48 - 39 = -u, -5*u = 3*n + 17 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6524828977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -121 + 23?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/13))**(-4\/39)\/((x\/(x\/((x*x\/(x\/x**(7\/5)))\/x)))\/x*x*x*x**2\/x))**(1\/30) assuming x is positive.\nAnswer: x**(-8579\/76050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1845042987.\nAnswer: 3, 615014329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -7*u**2. Let k(j) = -2*j**2 + 14*j**2 - 12*j**2 - 4*j**2. Give c(k(o)).\nAnswer: -112*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d - 2*p - 6, -d + 6*d - 9 = 2*p for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6.4 (b) 0.1 (c) -1 (d) 0 (e) -3\/2 (f) 8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4494, 9134, 13774, 18414, 23054?\n\"Answer: 4640*i - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - -2) + (20 - -3 - 35).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of w**6\/120 - w**5\/60 + 5*w**2. Suppose -3*n - 5 = -2. Give q(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -443*x**3 - 3879078*x**2 + 3879078*x**2.\nAnswer: -443*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.08? (a) -2\/3 (b) 0.01 (c) 2\/459 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -173079.461 to the nearest 10000.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 1, 2, 2.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 49566281 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 3) in base 2?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(136) - (sqrt(136) - -3*sqrt(136))) - 6*sqrt(136)*2)\/(sqrt(80)\/sqrt(360) + (sqrt(64) - sqrt(64)*-2)\/sqrt(8))*-2.\nAnswer: 36*sqrt(17)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 0.06, 1584, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -274 times 0.2?\nAnswer: -54.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/2 + 3\/(-3). List the prime factors of (-88)\/r - (-2)\/5.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3726712046?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*m + 28*m = -5240. What is m rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 10 + 0 = 0. Let m(v) = 2*v**2 + 6*v - 3. Let d be m(g). Let x = 107 + 12. What is the highest common divisor of d and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 212 - 13 = -o, -4*s + 202 = 2*o. What are the prime factors of (2174\/8)\/(s\/200)?\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26\/(-13)*-3*(-6)\/(-9)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/5865 and -57\/56390.\nAnswer: 66145470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -64*p - 1055. Let m be v(-27). Solve 0 = -15*c - m + 733 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 3:53 AM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3104098 rounded to the nearest 100000?\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 6*f - 3 + 1 + 1 + 3. Let a(h) = 19*h + 7. Let r(d) = -2*a(d) + 7*v(d). Let k(l) be the third derivative of l**4\/24 + l**2. Determine r(k(s)).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 131 - 186. Put -4, b, 0, 2 in decreasing order.\nAnswer: 2, 0, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + 492310.749?\nAnswer: 492310.249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -986 by 29.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 205887 and 394587?\nAnswer: 1592947719","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -47 - 3. Let j be (w\/(-9))\/((-15)\/(-135)). Calculate the highest common factor of j and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (7 + 1 - 8) + (5 - -5) + -26?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l. Let c(f) = 27*f + 1. Calculate v(c(i)).\nAnswer: -27*i - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-114)\/(-27) + (-2)\/9. Suppose -g*y + 22 + 2 = 0. Let k = y + 1. Solve -3 = -2*r + k for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -30, -52, -76, -102, -130, -160?\nAnswer: -192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1853, -3677, -5501, -7325, -9149, -10973?\nAnswer: -12797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 223374.1*-0.1.\nAnswer: -22337.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -315 + 485. Suppose -f*k + 486 = -168*k. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 3*h - 11. Let a be v(-6). Find the second derivative of 6*i + 2*i - i**3 + a*i**5 + i**3 wrt i.\nAnswer: 140*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**4 + 31*y**3 + 117*y**2 - 331*y + 182 = 0.\nAnswer: -26, -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -51 - 14?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 14 = -11. What is the closest to -0.2 in c, -4\/9, 3?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/7)\/((78\/(-8))\/(1491\/(-568)))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1f + bc?\nAnswer: db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*n**2 - n + n + (-3*n + 0*n + n)*(-2*n + 0 + 0) + 1 - 1 - 2*n**2 - 75 + 9*n**2 + 75.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 4*l + 28 = 4*x, 0 = x - 4*l + 18. Suppose -9*k + 43*k**2 - 22*k**x - 6 - 24*k**2 = 0. What is k?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -89 + 88.9682. What is p rounded to three decimal places?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -777208450 to the nearest 1000000.\nAnswer: -777000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 6*f**2. Let j(w) = w**2. Let v(z) = -14*j(z) + 2*x(z). Let p(l) = -33*l. What is p(v(s))?\nAnswer: 66*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of 5*r**5\/2 - 7*r**4\/6 - 2*r**2 - 155*r + 1. What is the third derivative of a(q) wrt q?\nAnswer: 300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 4*v + 47. What is the lowest common multiple of 3 and o(-10)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.24 * -13.\nAnswer: -3.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/3 (b) -5 (c) -0.1 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-493)\/(-38) + -13).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -148.99 * -0.165.\nAnswer: 24.58335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6969387889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 6:47 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -37.4684909 rounded to zero dps?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 137\/9 - (0 + 10\/45). Suppose g*h + 9 = 18*h. Solve 4*t - h = 5 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cbk when three letters picked without replacement from kkcjbtfj?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**3 + 6*s**3 + 0*s**3 - 10*s**3 + 68*s.\nAnswer: -6*s**3 + 68*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 - 5*c**2 + 4*c**2)*(-119*c - 1 + 571*c - 207*c).\nAnswer: -490*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 4*y. Let o = 76 - 53. Let b(t) = -58*t + 21*t + o*t. What is b(m(c))?\nAnswer: -56*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-16)\/(-3) + (-23 - -19)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -5 - 7 - 2) + 63.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 9 - 30 = -t, -t + 2*s = -16. Let l = t + -3. Suppose 2*r - 95 = -l*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/2)\/(46\/16 + -3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 4) to base 15\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 0. Suppose 295 = 3*t + y - 113, -4*t + 544 = -4*y. Suppose c*d + 246 = 3*s, -2*s - 4*d = d - t. List the prime factors of s.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -c + 113, -5*c - 2*u + 337 = -2*c. Let h = 114 - c. Solve -9 = -3*n - 4*m, -5*n + m + 15 = h*m for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*y = 38939, y + 2*y = 3*q - 38949. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83823 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence be when two letters picked without replacement from {e: 3, b: 2, a: 15}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -302 at least as big as -300?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -142 (b) -2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1152087890 to the nearest integer?\nAnswer: 1048","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/248, 2\/61, 1\/11 in ascending order.\nAnswer: -1\/248, 2\/61, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 j when four letters picked without replacement from zlljlzjjjj?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - c = 15, -2*c + c + 1 = j. Let u be (5 - 1) + j\/4. Solve u*x - 23 = -3 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c - 3. Let i be a(-8). What is the third derivative of -13*r + i*r + 2*r**3 - 3*r**2 wrt r?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360)\/(-1*sqrt(12)))\/sqrt(6))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 + 4 - 9) + 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4*q**3 - 9*q**2 - 62*q + 865. Is 9 a factor of s(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 503 - 7?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of 13*j**7\/5040 + j**6\/96 + j**5\/120 + j**4\/24 + 61*j**3\/6 - 74*j**2. Let n(t) be the second derivative of l(t). Factor n(b).\nAnswer: (b + 1)*(13*b + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-8))\/(g*(g**4\/g)\/g))**(-1\/12))**(1\/54) assuming g is positive.\nAnswer: g**(5\/324)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3404 + 3409. Put 12, 6, m, 3, 9 in descending order.\nAnswer: 12, 9, 6, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4112 (base 5) to base 6.\nAnswer: -2244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3679869 is divided by 672.\nAnswer: 669","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -46*u**2. Let m(v) = v - 7. Give n(m(o)).\nAnswer: -46*o**2 + 644*o - 2254","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-21) - (-864)\/3318. Let n = -247\/395 - g. Let o be 2\/21 - 6365\/3990. Sort o, 2\/9, 0.4, n in increasing order.\nAnswer: o, n, 2\/9, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 13) to base 16\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*y + 150 = 0. Suppose w - 4*w + 75 = 5*b, 2*b - 2*w = y. Solve 7*o - b = 2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -5*f**2 + f - 1. Let d = -39 + 63. Let r(p) = p**3 + 7*p**2 + 9*p + 18. Let h be r(-5). Let b = d - h. What is y(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 6*z - 1068, 29*z = 28*z - 2*k + 202. What is the remainder when 647 is divided by z?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 839264056 to the power of 1\/2, to the nearest integer?\nAnswer: 28970","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -37523 < -2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1970 - -14149\/7. Let r = d + -51. Which is the biggest value? (a) 2 (b) 2\/5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = 9*q + 2*q + 10*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 176 = -4*x, -5*x - 204352*u + 244 - 18 = -204348*u for x.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 15545, 31087, 46643, 62219, 77821, 93455?\n\"Answer: b**3 + b**2 + 15532*b + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**3 + g + 1. Determine s(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2678 divided by -2678.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000296 to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, y: 5, q: 3}. Give prob of sequence bq.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 a, and 1 k when three letters picked without replacement from {f: 1, k: 2, m: 7, x: 1, s: 2, a: 1}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v + 10*v + v + 25*v.\nAnswer: 31*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2668690314.\nAnswer: 2, 3, 937, 17581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1318595 to the power of 1\/3, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/3903 and 65\/27?\nAnswer: 35127","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -40\/43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 7, 5, 2042, -3 in descending order.\nAnswer: 2042, 7, 5, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*n + 284 = 43*n + 9*n. Let d = -27 + 109\/4. Factor 0 + d*h**5 - 1\/2*h**n + 1\/4*h**3 + 0*h + 0*h**2.\nAnswer: h**3*(h - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 240, 244, 244, 234, 208, 160?\n\"Answer: -y**3 + 4*y**2 - y + 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3137*f + 3132*f = -10. Factor 56\/5*v**3 + 16\/5*v + 8\/5*v**5 - 44\/5*v**f - 34\/5*v**4 - 2\/5.\nAnswer: 2*(v - 1)**4*(4*v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -17, 30, 135, 316, 591?\nAnswer: 978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 6*s - 3. Calculate p(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 177 (b) -5 (c) 2 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 136 + -129. What is the remainder when 1100\/28 + (-4)\/14 is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 434 = -2*o, 3*m - 19*o + 22*o - 339 = 0. Calculate the remainder when 124 is divided by m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 151648783 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m + 3*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence za when two letters picked without replacement from {a: 9, w: 2, i: 1, y: 1, z: 4}.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 0, -3*q = -278*i + 273*i - 6 - 9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -294 smaller than 0.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/5 in 253, -4\/7, 5, 0.3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38488099 to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-64)\/(-12) - (-1)\/(-3). Suppose -c*r + 4 = -3*r. Calculate the remainder when 3 is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13689187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38789.0000026463 + -38789. What is u rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*n**3 - 7*n**3 + 11*n**3.\nAnswer: 46*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 10 = 4*k, k + 5*r = -k + 20. Suppose -17619 = -4*g + k*f, 746 + 3680 = g + 3*f. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 3 - (-33 - (-53 - -28))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from eeeefffeeffee?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**31)\/(d*d*d**(-41))*d**(-30)\/(d*d*d*d**5*d) assuming d is positive.\nAnswer: d**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - o + 59 = 0, 239 = 46*p + 4*o + 153 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 15 = -5*p. Suppose -3 = p*f - 21. Suppose -3*l - 21 = -f*l. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 6:38 AM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -4*d**2 + 347*d - 8. Let x(h) = 21*h**2 - 1734*h + 43. What is 11*r(m) + 2*x(m)?\nAnswer: -2*m**2 + 349*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 119 or 126?\nAnswer: 119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 108529 * -853\nAnswer: -92575237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*h**3 + 120*h**3 - 61*h**3.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4499 + -4449. Calculate the remainder when 8549 is divided by a.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 165. Let h be v(0). Let l = -2477\/15 - h. Let n be 1\/4 + 14\/(-24). Which is the second smallest value? (a) n (b) -0.3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 1:24 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 61889305 divided by 1?\nAnswer: 61889305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -2*g + n + 2*n, 57 = 2*g + 3*n. Let i = 90 - g. What is the greatest common divisor of i and 285?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 2*h = -81. Suppose i = 2*n - 204, 5*i = 2*n - 5*n + 332. What is the remainder when n is divided by h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2373293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 311240044?\nAnswer: 2, 103, 755437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1030362757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*5\/25)\/((-2367)\/(-765) + -3).\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**2 - 5*v - 1. Let j be 54\/21 + -5*3\/(-35). Let a(l) = -1 - l**2 - 2 + 2 - 3*l. Determine j*w(o) - 5*a(o).\nAnswer: -o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 109665943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s + 15. Let x be u(5). Let r be 5\/x*4 - (-10)\/3. Suppose b = -r*y + 10, 4*y - 1 = b - 11. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/35, -0.1, -41 in decreasing order.\nAnswer: 2\/35, -0.1, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4514 - -5?\nAnswer: -4505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z - 2. Suppose 0 = -5*s - 3*r + 9, 5*s - r = -0*r + 17. Let f(k) be the first derivative of -11 + 5*k + 5\/2*k**2. Calculate s*f(m) + 7*v(m).\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17604 - 8093. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2*l = -2 + 14, -2*f + 2*l - 8 = 0. Suppose -z + f = -2. Let w be -1*(0 - z) - (5 - 2). Is 2\/15 greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.23 + -2.904313\nAnswer: -6.134313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -2*q - 6, 192*q = 195*q - 4*r - 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -5*n + 3*n + 19, -4*n - 7 = -3*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1209 and 794716.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2157815?\nAnswer: 5, 11, 39233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**3 - 7*j**2 + 5*j + 5. Let t be ((-24)\/21)\/((-4)\/14). Is u(t) a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2336*m + 2347*m - 21923. What are the prime factors of m?\nAnswer: 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -57404.255949949195 - -0.534948249195. Let c = -57406.921 - j. Let i = c - -3.2. What is i rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5*n = -2*i + 13, 3*n = -3. Let o = i + 31. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*w + 4121*w**3 + 21*w - 10*w.\nAnswer: 4121*w**3 - 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 14 (b) -7 (c) -3 (d) 2\/29 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w - 2. Let j(g) = -7*g + 4. Let i(v) = 10*h(v) + 4*j(v). Let s be i(3). Solve l + 4*y + 0*y = 1, s = 2*l - y for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*j**3\/7 + 2144*j**2\/7 - 13984*j\/7 - 3419392\/7.\nAnswer: -2*(j - 76)**2*(9*j + 296)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16936\/279 - -1868\/31. Let d = -25\/9 - -157\/45. Find the common denominator of d and c.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-15)*(-30)\/(-12)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 116365 and 2547265?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 24*z**2 - 2*z + 1. Let q(c) = c**2 - 1. Let y be q(-1). Suppose y = -3*s - 6 + 42. What is the remainder when p(1) is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*i - 19*i + 16*i)*(3 + 0 + 3 + (-4 + 2 + 0)*(0 + 3 - 1)) to the form r*i + g and give r.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2332, 2\/19, -0.2, -1\/4, -1, -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1600)\/(-56))\/((-4)\/(-14)). Let m be -2 - (0 + 0 - 22). What is the greatest common divisor of a and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -0.3 (c) 23 (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6 + b + 6*b - 4*b**4 - 7*b wrt b?\nAnswer: -16*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((22\/(-2))\/(-33))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g + 1518*n - 1447*n - 375, 5*n = -4*g + 45 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 205815, 1, 7 in ascending order.\nAnswer: -5, 1, 2, 7, 205815","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 + 54 - 33\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 733*w**2 - 735*w**2 - 19*w + 12*w + 13. What is y(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1456589 is divided by 141?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9639 and 268515?\nAnswer: 1377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-2)*(-10080)\/(-4410)?\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, r: 2, o: 4, z: 1}. What is prob of picking 3 s and 1 z?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, o: 1, k: 6, z: 1}. Give prob of picking 1 k and 1 z.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3\/4 - 514983*g**2\/4 - 9270423*g\/4 - 41717997\/4.\nAnswer: 3*(g - 171679)*(g + 9)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39\/167 - 1143\/9185. Put n, 2\/19, 6, -1 in decreasing order.\nAnswer: 6, n, 2\/19, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*y + 2*p + 9 = 127*y, 4*y = -3*p - 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*d**3*y**3 + 12*d**3*y - 1279*d**2*y**3 - 3*d**2*y + 9*y wrt y?\nAnswer: 18*d**3*y - 7674*d**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g. Let c(r) = 3*r. Let u(o) = -c(o) + 2*k(o). Let i(f) = 27*f**2. Calculate u(i(q)).\nAnswer: -27*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -9*s**3 + 2*s. Let a(z) = z**3 - 2*z**3 - 275*z - 8*z**3 + 278*z. What is -2*a(o) + 3*w(o)?\nAnswer: -9*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -113.426158 to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 843? (a) -35 (b) 2 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18391*a = 18389*a + 174. Solve a*g + 70 = 77*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a*c**5 - 2*a*c**3 - a*c + 106*a - 334*c**5 - c wrt c?\nAnswer: 20*a*c**3 - 12*a*c - 6680*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p**3 - p**2 - 3*p - 2. Let g be 3*10\/(-36)*78\/13. Let i(v) = 7*v**3 - 2*v**2 - 7*v - 5. Determine g*c(w) + 2*i(w).\nAnswer: -w**3 + w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -4, 2, 277?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 - -0.3. Let r = 36 - 31. Which is the closest to u? (a) -3 (b) r (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 732.9\nAnswer: 73.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 193230975 to the nearest integer?\nAnswer: 578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.19264cm to micrometers.\nAnswer: 841926.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(-1027*a**2 + 50*a**2 - 627*a**2)*(a**2 + 4*a**2 - 3*a**2).\nAnswer: -3208*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, -87, -3, -5, 2 in decreasing order.\nAnswer: 31, 2, -3, -5, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-310)\/66 + 2*(-5)\/(-30). Let q = 299\/66 + g. What is the closest to 0 in -2\/3, 1\/7, q?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*a = -4*a + 215499. 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 490575.78 rounded to the nearest 10000?\nAnswer: 490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-6)\/o**(1\/13))**(1\/10)*(o*o*o**(-3\/8)*o**(1\/6))\/(o**(1\/6)\/o*o*o*o*o**(1\/6)) assuming o is positive.\nAnswer: o**(-1793\/1560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 15\/4 of a microgram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/17*x - 2\/17*x**5 + 0 - 2\/17*x**3 + 6\/17*x**4 - 6\/17*x**2 = 0 for x.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 6.3449, -560.\nAnswer: -560, 5, 6.3449","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 93*k + 339 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7957*l**2 - 44*l**3 + 7453*l**2 - 15410*l**2.\nAnswer: -44*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 117\/78*-40*180\/2592\nAnswer: -25\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 474325 divided by 474325\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -1)*(-3 + 66\/21)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + (0 - -5656) + 2. Suppose 10*x + v = 15329. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -4*l + 4*m - 6, l = 2*m - 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 3*x**5\/7 + 6*x**4\/7 - 15*x**3\/7 - 18*x**2\/7 = 0.\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -16, -33, -62, -109, -180, -281?\n\"Answer: -w**3 - 10*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 357, 2699, 9051, 21417, 41801, 72207, 114639?\nAnswer: 171101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -85, 14, 2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + 3*l - 2. Let b(z) = -z**2 + 6*z + 7. Let u be b(7). Let q = u - 4. Let g be a(q). Solve 2*x - 5 = c, g*x + 28 - 3 = -5*c for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12375202.108 - -5.6.\nAnswer: 12375207.708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -8*j**3 - 2*j + 4. Let x(u) = -16*u**3 - 5*u + 10. Calculate -15*i(r) + 6*x(r).\nAnswer: 24*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1250 - 838. List the prime factors of i.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of 3\/2*h**2 + 1\/20*h**5 + 0 - 1\/12*h**4 + 2*h + 0*h**3 - 1\/120*h**6. Let u(k) be the first derivative of o(k). Factor u(m).\nAnswer: -m*(m - 2)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 - (1 + (-20)\/8))*-4. Let v = -40 - w. Put -1, v, 0 in descending order.\nAnswer: 0, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230380590?\nAnswer: 2, 3, 5, 11, 79, 8837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17844246 (base 9) to base 10.\nAnswer: 9004812","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -655 - -657. Let q(i) = -i**3 - 3*i**2 + 3*i - 3. Give q(t).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - y = -105, 7*y = p + 3*y - 48. Calculate the remainder when p is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 7. Let a(f) = 9*f**2 + 5. Suppose 4*c = 6*c - 14. Let m(k) = 4*k**2 + 2. Calculate c*m(w) + j*a(w).\nAnswer: w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**3 - 5*w**3 + w**3)*(-4*w + 3*w + 4*w) + (3*w**4 - w**4 + 0*w**4)*(-4 + 2 + 0).\nAnswer: -10*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 e when two letters picked without replacement from keqydsdy.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 7*b + 9. Let v(f) = f + 1. Calculate 3*l(g) - 24*v(g).\nAnswer: -3*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 5*k**3 - 2*k**2 + 1. Suppose -3*g - 3*t + 14 = 2, t - 4 = 0. Suppose 4*d - 2 + 6 = g. Calculate y(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111277 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 418, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of 0 + 9\/70*n**7 - 1\/20*n**6 + 0*n - 27\/20*n**5 - 2*n**3 + 3*n**4 + 4*n**2. Factor y(r).\nAnswer: 3*(r - 1)**2*(r + 2)*(9*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 53 + 4*l**3 - 53 + 2*l**2 to i + u*l**3 + j*l + b*l**2 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**11*c))\/(c*c*c*c**(-32))*c\/(c*c**(3\/5))*c**35 assuming c is positive.\nAnswer: c**(262\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-27))\/(4\/(-828) - 0\/(-4 + 26)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from ruhhixsixrxhrsx.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 4 + 1)*(1 + 0 - 2)*(30*p + 3*p - 9*p).\nAnswer: 48*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/(-2) - (-2 + 0). Let l = p - 2. What is the remainder when 16 is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-24)\/(-20)*-5*(-1)\/21. Let i = 0.282 + 0.018. Put z, -1\/6, i in decreasing order.\nAnswer: i, z, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4029 is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 356120?\nAnswer: -356112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 7:50 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -0*i + i. Suppose -4*u + 2 = -b - 4*b, -i*u + 7 = -b. Let l be (4 - 8) + 6\/b. Is -4 < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297 is divided by 77.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 5 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 5*q**3\/3 + 655*q**2\/2 + 650*q + 248. Factor z(v).\nAnswer: 5*(v + 1)*(v + 130)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {u: 1, o: 3, e: 2, x: 7, z: 2, h: 5}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b*b**(2\/47)\/b*b)\/b**(-2))\/(b\/(b*((b*b**(-2\/9))\/b)\/b*b))**(-10\/13))**23 assuming b is positive.\nAnswer: b**(532910\/5499)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 56126674999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*a - 107 = -90, 0 = -2*h - a + 6. Solve h*v = -4*t + 16, -4*t + 10 - 14 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2095*w = -2074*w + 378 for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 711330 * -0.4.\nAnswer: -284532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*m - 929 - 2620. What is the greatest common divisor of m and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**2\/7 + 30704*g\/7 - 30706\/7 = 0 for g.\nAnswer: -15353, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 1 + 0 - 5*i + i. Let k(u) = 2*u - 3*u + 0*u. Let g be (-4)\/(-6)*45\/(-10). Give g*k(b) + o(b).\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of l**4\/12 - 7*l**3\/6 + 3*l**2 - 3*l. What is the units digit of t(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, s: 5, v: 2, j: 6, x: 1}. Give prob of picking 1 x and 2 s.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p + 2*p**2 + p)*(4 - 4 + p) - 362*p**3 + 1683*p**3 + 1172*p**3 + 3*p**3 + 3*p**3 - 4*p**3 in the form u*p + v*p**3 + r + f*p**2 and give v.\nAnswer: 2497","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1157*d**2*x**3 + d**2*x**2 + 136*d**2 + 1969*d*x**3 + 4*d*x**2 + 515*x**2 + 2 wrt x?\nAnswer: 6942*d**2 + 11814*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -844.1987661 to two decimal places.\nAnswer: -844.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 238659.9385 + 17.\nAnswer: 238676.9385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.6 (b) 2\/25 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*g**5 + 10*g**5 - 2*g**5 - 3*g**5 - 3*g**5 + 4*g**5 + (-g - 4*g + 4*g)*(4*g**2 - 4*g**2 - 2*g**4) - 3*g**5 + 3*g**5 + g**5 - 5*g**4 + 5*g**5 + 5*g**4.\nAnswer: 22*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + 4*a. Let c(z) = -z. Let l be c(6). Let y be n(l). Suppose -y = -3*x + 9. Solve -2*p = -x*p + 25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -436634 times -0.1?\nAnswer: 43663.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - i = 0. What is the closest to -0.1 in -4, i, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**(1\/7)*g\/g**4*g**(1\/8)\/g**1 assuming g is positive.\nAnswer: g**(-169\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 553 and 496831?\nAnswer: 3477817","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -3*s - 91, p + 247 = 2*s + 326 for s.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-26)\/8 - 1\/(-4). Let d be 0 + v + (3 - -2). Suppose -d*o + 18 = -152. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 2120?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -237b - 39?\nAnswer: -23b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -15\/77 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m - 2*w + 7869 - 7851, m + 3*w - 11 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 953 + 2468 - 2*h**3 - 149*h**2 - 2*h + 150*h**2. Is f(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*(0\/(-2))\/4. Suppose c = 2*i + i - 12. What is the third derivative of -5*j**4 + j**4 + 4*j**4 + 7*j**2 + 3*j**i wrt j?\nAnswer: 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2846*w - 47. What are the prime factors of d(-1)?\nAnswer: 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 92?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*s = -25*s + 4*m + 15781, 4*s = -3*m + 12600. What are the prime factors of s?\nAnswer: 3, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n. Suppose 0 = -2*s - 0 + 2. Calculate the remainder when 8 - (-3)\/(-5 - -4) is divided by z(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10638754.\nAnswer: 2, 7, 759911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1802?\nAnswer: 2, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, -2, -9, -2\/21, -5 in descending order.\nAnswer: 1\/9, -2\/21, -2, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 14514, 14527, 14538, 14547, 14554, 14559, 14562?\n\"Answer: -m**2 + 16*m + 14499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 8, r: 2}. What is prob of picking 2 r and 2 u?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/84078 and 151\/3114?\nAnswer: 84078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9815820 and 27?\nAnswer: 88342380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46339\/8 + -5792. What is the fourth biggest value in l, -5, -219\/8, -1\/5?\nAnswer: -219\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**2 - 4813*o + 2889945. What is g(1150)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 + -249380603344?\nAnswer: -249380603343.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*x - 22*x - 35345 = 0. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -7*n - 41. Let v be c(-13). Suppose 49*g = v*g + 243. Let f = g + 341. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*o\/o**(2\/13)*o)\/o)\/o)**(-4))**(1\/21)\/(((o*o**(1\/2)*o*o)\/(o\/o**4))\/(o\/o**(-3)*o**6*o)) assuming o is positive.\nAnswer: o**(2369\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -38*y + 423. Let g be q(11). Let b = 5 - 3. Solve -g*a - 8*p = -4*p, b*p = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3276 and 91032032?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -648*x**2 - 3*x**3 + 321*x**2 + 327*x**2.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 324799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -1 (c) 137 (d) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 5*o - 2*o + 1, 3 = 2*n - o. Let x be (-5 + 1)*((-10)\/4 + n). Solve 8 = 6*s - x*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 16*w - 16*w**2 - 10*w + 31 - 7 + 13*w. Let f be k(-17). Let c(y) = y**3 + 11*y**2 + 8*y + 4. Does 12 divide c(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + 1. Let r(h) = -5*h**2 - 7. Let g(a) = 4*b(a) + 2*r(a). What is the derivative of g(w) wrt w?\nAnswer: -12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4142*z + 1057*z - 4 + 4 as i + c*z and give c.\nAnswer: -3085","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -131 (b) -0.2 (c) -0.4 (d) 5 (e) -15 (f) 11 (g) -1\/2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 8:03 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 515285084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*(-9)\/((-54)\/(-4)). Let p be 0 + 0 + -7 - q. Let t(m) = -3*m + 30. What is the tens digit of t(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -6 + (4459 - 16) + -2 + 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6.52 and 449.\nAnswer: -2927.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*10\/2*36\/(-936)*-26?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7b (base 15) in base 10?\nAnswer: -116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 50*m**3 - 316745*m**2 - 982375*m - 95070 = 0.\nAnswer: -3, -1\/10, 6338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - -70. Is 28 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 13\/4 of a milligram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 c, and 1 z when three letters picked without replacement from qzutmumttcmzu.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263 is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -55.02 + 957109.375\nAnswer: 957054.355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -240*348\nAnswer: -83520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4887196 to the power of 1\/2, to the nearest integer?\nAnswer: 2211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/198 and -41\/5508?\nAnswer: 60588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (158\/632)\/((-1)\/52)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000058988 rounded to six dps?\nAnswer: -0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 5*t. Let u(h) = 28 + 133*h + 137*h + 145*h + 136*h - 552*h. Give u(p(z)).\nAnswer: -5*z + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 301*t**2 + 0 - t + 26 - 303*t**2 to the form v*t + x + n*t**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 bigger than 325629\/9593?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 580764293 to the nearest integer?\nAnswer: 834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 9*j**2 - 3*j - 11. Suppose 4*x - 26 = -2*i, 0 = -3*x + i + 2*i - 3. Let p(d) = 3*d**2 - d - 4. What is x*b(h) - 11*p(h)?\nAnswer: 3*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 474, 1867, 4178, 7407, 11554, 16619?\n\"Answer: 459*o**2 + 16*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v\/((v**(-2)\/v)\/v))\/v))\/v)**(1\/4)\/(v*(v*v**(-1\/2)*v)\/v*v**(3\/4)*v) assuming v is positive.\nAnswer: v**(-17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1042 + -1040. Factor 10\/3*q**2 + 2\/3*q**3 + o*q - 6.\nAnswer: 2*(q - 1)*(q + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 21*q**2 + 76*q - 61. What is y(-16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -356\/5617 + 2\/41. Which is bigger: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 10 = -65. Let h(n) = n**3 - 4*n**2 + 2*n - 1. Let f be h(4). Let z = l - f. What is the highest common factor of 8 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/19968 and -17\/88.\nAnswer: 219648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42128 and 72.\nAnswer: 379152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 348 and 422124?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 589?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mth when three letters picked without replacement from hhhmqooohhhhoqthhhh?\nAnswer: 11\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 400372234 is divided by 3366?\nAnswer: 3364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 4) to base 16\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -4*s**5\/5 - s**4 - 444*s**2 + 635. What is the second derivative of f(m) wrt m?\nAnswer: -48*m**2 - 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1359?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*q = 0, -f + 4*q - 10 = -32. Let w be 93\/4 - 12\/(-16). What is the highest common factor of w and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 129 - 612. Let a = 485 + n. Solve 0*y + a*v = y - 4, 0 = -5*y - 3*v - 6 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.1 times 12628.4?\nAnswer: -39148.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -6*g + 23. Is 17 a factor of p(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -79*r**3 + 229 - 229 + (-8*r + 7 - 7)*(-2*r + r**2 + 2*r) to y*r**2 + h*r**3 + z + q*r and give h.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or -32162?\nAnswer: -32162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 164019, 656124, 1476305, 2624568, 4100919, 5905364, 8037909?\n\"Answer: k**3 + 164032*k**2 + 2*k - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -90546 divided by -2?\nAnswer: 45273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**2 - 22. Let t(x) = 22*x + 2. Determine w(t(g)).\nAnswer: -968*g**2 - 176*g - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y**(-2\/7)*y*y*y)\/y*y))**42\/(y*y**0)**(1\/12) assuming y is positive.\nAnswer: y**(-865\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.003 (b) -0.06 (c) 12174\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 12 = -6*y. Suppose -q + 2*j = 2*q - 1, -9 = q - y*j. Suppose -g - 2*l + 106 = g, -q*l = 2*g - 107. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/23413254 and 10\/11706627?\nAnswer: 23413254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.78982 rounded to 0 decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -413033 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 less than 1078\/57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 89, 50, -51, -244, -559, -1026, -1675?\nAnswer: -2536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p**3 + 0*p**3 + 2 + 4*p**3 + (0*p - 6*p + 5*p)*(15468 - 11*p**2 - 15468) in the form x*p**3 + k*p**2 + z + m*p and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 2:21 AM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/99 and -16\/3135?\nAnswer: 9405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205*c = 208*c. Suppose c = -k + 75 - 27. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 - 8*a + 3. Suppose 4*n - n = -93. Let i = 24 + n. Let f be r(i). Solve 0 = -j + 2*h + 3, -2*j + h = -4*h - f for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*q**5 - q**5 + 5*q**5 + 2*q**5 + 4*q**5 - 4*q**5 + (-3*q + 2*q + 4*q)*(-q**4 + q**4 - q**4).\nAnswer: -13*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ryryyrrryyryr. What is prob of sequence yy?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -4*i - 21227, 4*i + 9*m - 4*m + 21277 = 0. Let z = i + 7646. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 2*u - 7, -4*u - g + 0 = -3. Let w be ((-10)\/30)\/((-3)\/135). Suppose 3*r + t + w = -7, -4*t - 8 = 2*r. Which is smaller: r or u?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2025006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7030940 rounded to the nearest one hundred thousand?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(744\/(-9)))\/(2\/(-4)*13\/(-26))?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5720537 divided by 248719?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seventeen halves of a meter?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*r**2 - 13*r**2 + 2*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 31*s + 5. Determine r(-2).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o + 3 - 3 + (2 + 1 - 4)*(-1 - o + 1) - 2*o + 6*o - 2*o - 2*o + o + 3*o + 0*o - o + 0*o - 16276*o - 120*o - 5677*o - 5070*o + 4308*o.\nAnswer: -22833*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + 4. Let a = 3434 + -3110. What is the highest common divisor of g and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2025 and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s*s**(6\/11)*s*s)\/s)\/s)\/s**(4\/7))**(-45)\/((s**(-2\/9))**(5\/14)\/((s\/(s\/s**(-2\/21)*s))\/(s\/((s*s\/(s*s**(-8))*s)\/s)))) assuming s is positive.\nAnswer: s**(-56720\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 69 - 67. Suppose -7*m + 2*m - 3 = -d*a, -2*m - 10 = -3*a. Suppose 0 = 5*f - 10, a*y - 10*f - 1162 = -5*f. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (35\/4830*-23)\/(7\/14)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36496 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 9*y + 15. Let j(r) = r**3 - 4*r**2 + 45*r - 128. Let w be j(3). What is l(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -145, -160, -185, -220, -265, -320?\n\"Answer: -5*u**2 - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 + 0 = 5*j. Let t be (-2)\/(-12) + 822\/36. Suppose 2*p = 81 - t. What is the remainder when p is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 11*l**2 + 14*l - 1. Calculate p(-11).\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48165.07 years to centuries.\nAnswer: 481.6507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7568 + -0.0284.\nAnswer: 7567.9716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 1:55 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 55 - 53. What is the second derivative of -1 + 8102*d**4 - 8069*d**4 + 19*d - n*d**5 - 3*d wrt d?\nAnswer: -40*d**3 + 396*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Product of -6593 and 0.4.\nAnswer: -2637.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (6 - -3) + -15 + (0 + 1 + -4 - -56)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 + 19*k - 54. Let b be p(11). Let r = -112 + b. Let s = -73 - r. Solve l = -0*l - s for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*2\/(-8))\/((-51)\/((-2142)\/(-84))).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/2*0\/19?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -965? (a) 2 (b) -64\/17 (c) 0 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + 6*a + 6*a)*(1263 - 598 + 763 + 1886 + 563).\nAnswer: 31016*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 527171*p**2 + 483902?\nAnswer: 1054342*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - 0. Let t be (-75)\/27 + (-1 - -4). What is the biggest value in 1\/3, u, t?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4291.\nAnswer: 7, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 12*o**2 + 22*o - 18. Determine p(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 0.11851\nAnswer: -0.23702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 285626323*h**4 + 349289198.\nAnswer: 1142505292*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -62*s + 54*s + 384. Let t be 4\/(s\/(-20))*-6. Let i be -2*(2 + -3 - 1). Solve 4*x = 3*m + t, 0 = 3*x + i*m - 9*m - 13 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/4 of a day?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -4*p**4 - 6*p**2 - 3*p. Let o = 9 + -3. Let x(s) = -8*s**4 - 11*s**2 - 6*s. Let t(z) = o*x(z) - 11*f(z). Find the second derivative of t(h) wrt h.\nAnswer: -48*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70394064?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2597 + 2597.3. Which is the nearest to s? (a) 6 (b) 0.1 (c) 2 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -85362 or -1280423\/15?\nAnswer: -85362","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7273 = -16*c - 2681. Let x = c - 282. Solve -6 = -3*m - x*z - 20, -z - 14 = -5*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-15)\/20)\/1*(-12)\/45. What is the biggest value in l, -1, 3, 2\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*a = 3*f - 1307, 3*a - 648*f + 21 = -652*f for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 71 + 119. What is the greatest common factor of i and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.038589 to 3 dps.\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2588 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: Round 0.000005795 to 7 decimal places.\nAnswer: 0.0000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1879 - -3568. What are the prime factors of f?\nAnswer: 3, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1644092*x**5 + 2679970*x**2?\nAnswer: -98645520*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 167711640722 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -3*k**3 - 3*k**2 - k. Let g be q(-2). Suppose 30 = -g*i + 8*i. Sort -4, i, 10 in ascending order.\nAnswer: i, -4, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 337329 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 805 is divided by 525.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27857\/844 - 54\/211. Let z = x - 32. Determine m so that z*m**5 - 9\/4*m**4 + 3\/2*m**3 + 3\/2*m**2 - 9\/4*m + 3\/4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 920 and 1060?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*w + 11*w - 517440. Suppose 3*g + 32*g = w. What is the highest common factor of g and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.3524 - -0.0044. Let j = t - -1.4. Round j to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2146105 to the nearest integer?\nAnswer: 1465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.07 + 0.07. Let p = -369103 - -117743750\/319. Let o = p - -2\/957. Which is the nearest to o? (a) 2 (b) -1\/2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90941 is divided by 1123?\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002532 to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 + 33. Sort -1, 4, i in increasing order.\nAnswer: -1, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 175*c**4 - 437\/4*c**2 - 9\/2 + 20*c**3 + 165\/4*c = 0.\nAnswer: -1, 2\/7, 3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*a - 1438 = -1708. Calculate the remainder when 460 is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*o + 3*o - 48 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 845, 2, -43 in increasing order.\nAnswer: -43, 2, 845","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -2. Let z be (77\/(-33) - 1) + 1\/3. Put u, z, 4 in ascending order.\nAnswer: z, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 59509131*p**2 - 3986*p + 2026 wrt p.\nAnswer: 119018262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-3))\/((-28)\/18). Let r be (-4)\/5*(-50 - -15). Let q = r + -85\/3. Which is the closest to q? (a) -0.4 (b) -0.2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (14 - 1) + 0\/(-1 - 4). Let f be (-1 + 2)*(18 - s). Solve 20 = -f*x + x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 21*z**3 - 10*z**2 + 15*z - 51. What is the tens digit of h(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44445 is divided by 350?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-1\/4)\/w))\/w**9*((w*w**(8\/7))\/w)\/w*w**2 assuming w is positive.\nAnswer: w**(-129\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12250392 and 98.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 125653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.746 to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1169?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8515356 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 263 - 188. Let q be 15\/9*-1*-15. What is the greatest common factor of q and i?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -44*k + 43. Let s be a(34). List the prime factors of (-38)\/(-95) - (-3)\/(-15)*s.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 14, -3, -44, -4, 2 in descending order.\nAnswer: 14, 2, -3, -4, -5, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, -3, -44, -87, -126, -155?\nAnswer: -168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (2 - 7 - -11) - -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k - 5*k + 50028000. Round k to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 938 = 2*o + 4687, -8*c + o + 8989 = 0. List the prime factors of c.\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-92)\/(-128) - (((-3540)\/160 - -23) + (-3)\/24)\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/1*(-9 + 4). Let l(u) = 10*u**2 - 49*u + 9. Let z be l(f). Solve -1 = 2*m - k, -2*k = -3*m + 2*k - z for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 - (1 - -31) - -23?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 66722*u**3 + 114792*u**2 wrt u.\nAnswer: 400332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -2) + (-11 - -5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of -v**4\/24 + 13*v**2. Let u(p) = p. Let h(r) = -2*r**2 + 143*r - 417. Let y be h(3). Give y*g(l) - u(l).\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1691?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 1, -8474, -181 in ascending order.\nAnswer: -8474, -181, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 222 divided by 74?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + 2*z + (16 + 22 + 5)*(-6*z + 5*z + 4*z).\nAnswer: 131*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 3, -6, 1, -151, -2 in decreasing order.\nAnswer: 3, 2, 1, -2, -5, -6, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5575788265*y**4 + 18483705837405*y**3 + 106945384830*y**2 + 206259260*y + 132600.\nAnswer: -5*(y - 3315)*(1037*y + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 119481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2048366?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1155203531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -0.026?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1081840 (b) -1\/3 (c) -4 (d) -0.1 (e) 0.7 (f) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -77 - 1210435?\nAnswer: -1210523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 143*l. Let g(s) = s + 15. Give g(z(y)).\nAnswer: 143*y + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33 - -32.99942. What is i rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/((-3 - 1) + 2). Suppose 24 = 4*i - m*i. Let t be 3\/i*(1 - 1). Solve 2*f + 12 = -2*v, 5*v + 12 - 2 = t for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5\/28 + 3\/28. Sort 0.2, 22, -1, v in increasing order.\nAnswer: -1, 0.2, v, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 2*p, 2*p + 4*g = 2*g for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6063, -5931, -5707, -5391, -4983?\nAnswer: -4483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -177*w. Let g(o) = -o**2 - 5. Let z(p) be the second derivative of -p**2\/2 + 48*p. Let f(b) = g(b) - 5*z(b). Calculate f(j(q)).\nAnswer: -31329*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 805 and 4807?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4403?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1398*n = 348*n - 1542*n + 341*n + 121554 for n.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6037411, -6037572, -6037733, -6037894?\n\"Answer: -161*k - 6037250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 898 + -893. Suppose 0 = -v - k, 16*r + 3*v + 9 = 14*r. Solve p = 2*p - 3*g + 12, 5*g - 16 = r*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-7\/4)\/(b*b\/((b**23\/b*b)\/b)))\/((b*(b**(-18\/11)*b)\/b)\/b**(-1\/10)) assuming b is positive.\nAnswer: b**(4133\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -201331020023 (base 4) to base 8\nAnswer: -41751013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1851 is divided by 168.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 117 - 55. Let p = g - 59. What is the tens digit of p\/6*(27*15 + -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -128004436.2086326244242 - 12.7912293755758. Let k = t - -128004599. Let u = k + -150. What is u rounded to 5 dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(((sqrt(40)\/sqrt(4))\/sqrt(5) - sqrt(2)) + sqrt(2))*5)**2.\nAnswer: 800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-29 - -27)*2\/((-8)\/66). Suppose -5*i + c = 8. Solve 0 = -2*z - 2*z + r + 1, 3*z = -5*r - i for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 1622*u - 912*u + 236*u + 2 to the form v + z*u and give z.\nAnswer: -2298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 7*o**2 - 3*o - 7. Determine z(-4).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1328947898?\nAnswer: 2, 1319, 503771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 3*z + 8*z - 9 + 3 in the form v*z + a and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -42, -20, -6 in descending order.\nAnswer: -6, -20, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32186 divided by 1.\nAnswer: 32186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311 is divided by 145.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/r**4*r*r)**26)**46 assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -w + 108, -5*w - 43 = b - 0*w. Let v = b + 55. Let u(o) = -o**3 + 10*o**2 - 11*o + 21. Calculate the remainder when u(9) is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 0 = -3*j. Let n = -1 - j. Solve 4*q - 2 = -n*v - 12, 12 = -4*v - 4*q for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 3\/5 (c) 3 (d) -34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.6 times -5?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 582*m**2 - 187*m**2 + 612*m**2.\nAnswer: 1007*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49101 and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 1333937726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -49.38\nAnswer: -98.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 140 - 136. Solve -s*b + 4 = 8 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = f - 1051, 0*u - 3*u - 2*f + 792 = 0. Suppose -627 = -162*x + 143*x. What is the remainder when u is divided by x?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -11163, -11165, -11167?\n\"Answer: -2*d - 11161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.25 * -973.\nAnswer: -243.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 29*f**2 - 8*f + 6. Let s(t) = -10*t**2 + 3*t - 2. Determine -17*s(d) - 6*u(d).\nAnswer: -4*d**2 - 3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - -32. What is the remainder when g is divided by (-2)\/(-3) + (-111)\/(-9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 9*d**2 - 7*d - 6. Let h be a(8). Solve 3*q - 5*r = 2*q - 9, h*q - 3*r = -11 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/85 and 14\/17.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 30 + 6. Calculate the remainder when 124 is divided by l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n - 1. Let d(t) = -5*t**2 + 5*t + 40. Let s(r) = -30*a(r) + d(r). Factor s(w).\nAnswer: -5*(w - 2)*(w + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9973474, 19946919, 29920354, 39893773, 49867170?\nAnswer: 59840539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -62.3095248 rounded to one dp?\nAnswer: -62.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 703.5 - 704.603. Which is the closest to 1? (a) -2\/3 (b) r (c) -4 (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 4 = -8. Suppose u - q*v - 18 = -1, 5*u - 17 = -2*v. Let k = 1 - 1. Which is the nearest to -0.1? (a) k (b) u (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -7*a - 4. Let q(s) = 8*s + 5. Let i = -3 + -3. Let k(d) = i*q(d) - 7*u(d). Suppose 0 = -4*n + 2*m - 14, 4*n = 4*m - 6 - 14. Determine k(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -3*g + 7*g. Let r = 43 + g. Let s = r - 16. Calculate the remainder when 28 is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 10*c**2 - 21*c - 204. Determine s(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -63.130754 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b - 1. Let j be p(-6). Let g be (8\/30)\/((-6)\/j). Is 2 greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -30)*(-1813)\/(-1274)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111011010111101 - -101001?\nAnswer: -111011010010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.163 - -0.327. What is m rounded to one decimal place?\nAnswer: 7.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 1. Let o(x) = 4*x**3 + x**2 + 9*x + 4. Let j(g) = 8*g**3 + 2*g**2 + 19*g + 9. Let p(w) = -6*j(w) + 13*o(w). What is -p(b) - 2*q(b)?\nAnswer: -2*b**3 - b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*c - 53 + 236 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 4:36 AM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -127244 or -763463\/6?\nAnswer: -127244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10\/6 + -1)\/(-51 - (-66760)\/1320). What is the second smallest value in 3\/4, 2\/13, o, 0.2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 123046, 246169, 369294, 492421, 615550?\n\"Answer: q**2 + 123120*q - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 620 and 50?\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - k + 2. Let n(m) = m - 6. Let g be n(10). What are the prime factors of j(g)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1479, 5539, 12289, 21729, 33859, 48679?\nAnswer: 66189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1171 - 1168. Let h = 4 - 7. What is the nearest to q in 1\/5, h, 2\/15?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -8. Let h(q) = q**2 + q - 3. Let m be h(f). Suppose 0 = -t - m*w - 4, t = -3*t + w + 23. Solve o = -4*o - u + 17, 0 = t*u + 15 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -291\/10 at most as big as -30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -19543, 22 in descending order.\nAnswer: 22, 5, -1, -19543","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 2919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -261? (a) -14 (b) -0.5 (c) -1\/7 (d) -0.7 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3855 - 9660945414.\nAnswer: -9660941559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000135309653 to seven dps.\nAnswer: 0.0000135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2500\/3 + 2300\/3*k + 215*k**2 + 1\/3*k**4 + 62\/3*k**3.\nAnswer: (k + 2)*(k + 5)**2*(k + 50)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millisecond in microseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67, 144, 235, 346, 483?\nAnswer: 652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 867 and 102.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 13179\/152 and 88 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 96*s - 5261. Let b(i) = 154*i - 7892. Determine -5*b(l) + 8*f(l).\nAnswer: -2*l - 2628","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*q - 4*q + 4*q)*(2*q - 3*q + 0*q + 2)*(2*q + 4*q - q + (3*q + 4*q - 5*q)*(0 - 8 + 3)) as v*q**2 + j + u*q**3 + n*q and give v.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 72352492 to the power of 1\/2, to the nearest integer?\nAnswer: 8506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1583 - 723. What are the prime factors of m?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1536 is divided by 77?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2431 - -143431\/59. Let u = 13\/7 - 5\/14. Which is the third biggest value? (a) v (b) u (c) -4 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421545 (base 7) in base 11?\nAnswer: 4a647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.048038 times -325?\nAnswer: -15.61235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 32 = 4*r - 4*m, -38 = 2*r + 3*m. Let u be 1 - 2*(-4)\/r. Is -3 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 12 (c) 0.66 (d) 4 (e) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1840 and 688?\nAnswer: 79120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 8:37 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -6*l - 8. Does 10 divide a(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143659*q - 279593*q - 170553*q.\nAnswer: -593805*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 84 + 273*x**3 - 260*x**3 - 83 + x as m*x + w*x**2 + b + r*x**3 and give r.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 9*f**2 - 24. Let b(m) = -5*m**2 + 4*m. Give b(i(y)).\nAnswer: -405*y**4 + 2196*y**2 - 2976","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -267*w + 22 = -269*w for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-5)*(-40 - -10). Suppose 9*f - 20 = 4*f. What is the greatest common divisor of x and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 362780?\nAnswer: 2, 5, 11, 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 6*c**3 + 7*c**2 - 5*c - 12. Let u be i(3). Suppose 5*k + 5*f - u = -1203, -5*k - 1012 = -2*f. Which is greater: k or -201?\nAnswer: -201","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 10:35 AM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16494?\nAnswer: 2, 3, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-248 + -1)*(-54)\/(-36)*-2. Is 748 less than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2571?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 15*f - 17*f - 4*p, 2*f - 6 = -5*p. What is the closest to -40 in f, -0.1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 0*t - 122111080 = 0. Let q = t - 3377784. Round q to the nearest one million.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.124 - -1.324. What is the nearest to 2.2 in 4, -0.3, o, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9556148000 to the nearest 1000000.\nAnswer: -9556000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-16)\/1200*-15)\/((-32)\/(-740)))\/((-2)\/(-16))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10598292, -42393191, -95384690, -169572789?\nAnswer: -264957488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 432 a factor of 147765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 406 divide 2745935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*a = 102*a + 260 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2598090210 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -24.59*-0.2\nAnswer: 4.918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 144618045 and 0.1.\nAnswer: 14461804.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4679400 and 2400.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.29 - 1.39. What is the nearest to 0.1 in 0.4, r, 0, 3\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 3:31 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-34*y**3 + 146 - 146)*(2 - 1 + 2) - 2*y**3 - 3*y + 3*y as h*y + w*y**3 + g + o*y**2 and give w.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -834669 + 13069. Round p to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: (1*2)\/((-4)\/(-8)*-4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/3012678 and 31\/669484?\nAnswer: 6025356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 17329.1083 rounded to the nearest 100?\nAnswer: 17300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 + 16 = -6*f. Let y be ((-120)\/20)\/(f\/(-8)). Solve 3*r = y*r + 25 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6618*i - 2 + 2420*i + 2 + 0 as y + d*i and give d.\nAnswer: -4198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1392*g = -1407*g + 1020. Calculate the highest common factor of 731 and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + -1 - (-8 - -3). Let k be 0 - (-6 + (0 - 4)). Let f = k - a. Solve 0 = 4*u - f*l + 16, 3*u = -0*u - 3*l + 12 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 216*x + 1291. Let o be u(-5). Does 211 = o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Product of -575 and -0.2.\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 11794.9 to the nearest 10.\nAnswer: 11790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + (-2)\/2)*-4. Let q be ((-22)\/t - 2) + (-4)\/(-8). Let s = 21\/115 + -18\/23. What is the second smallest value in 0.1, s, q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (7 + -7 - -1)) + 4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of 135*i**4\/4 - 333*i - 3. Let y(k) = 4*k. Determine y(t(n)).\nAnswer: 1620*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**2 - 1314287*u + 1314287*u.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = -4*p + 8*n + 430, -4*n = -2*p + 230. Is p a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48.1 - 11.6. Let t = 36.50483 - r. What is t rounded to four dps?\nAnswer: 0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/5)\/(n**(2\/3)\/n*n))**34*(n**(2\/3)\/n)**(2\/39)*(n**(-2\/5)\/n)**(9\/2) assuming n is positive.\nAnswer: n**(-17999\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9 + 64*k**4 - 38*k**4 + 19 with respect to k.\nAnswer: 104*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -468*l + 68*l + 31010 = 43*l for l.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001399896701 to 7 decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/35)\/(40\/(-70))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1394 + (2*(-4)\/(-8))\/1. Suppose -f*z + 1398*z = 453. Is 17 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -11*q**3 + 6*q**2 - 2*q. Let m(t) = 13*t**3 - 7*t**2 + 2*t + 1. What is -2*m(h) - 3*n(h)?\nAnswer: 7*h**3 - 4*h**2 + 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*b = 25*b + 85332. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -11. Let v = 4 + i. Let p = 6046 + -6031. What is the remainder when p is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111 + 10?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*j + z + 10 = 0, 16 = 3*j - 5*z. Solve 0 = -3*u - 1 - j for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vg when two letters picked without replacement from {g: 3, n: 3, k: 2, v: 12}.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-138)\/(-9))\/((9396\/(-243))\/(-116))\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 826 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*z**4\/3 - 352185*z**3 + 2113050*z**2 = 0. What is z?\nAnswer: 0, 6, 211305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p + 25 = -7*p. Suppose 0 = -3*g + j + 20, -30 = -2*g + 5*j + p. Which is the closest to -1\/2? (a) g (b) -5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.13286 * -6.\nAnswer: -0.79716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5, -14, -25, -32, -29, -10, 31, 100?\n\"Answer: y**3 - 7*y**2 + 5*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -253\/4 - -64. Suppose -2165*j = -2170*j - 20. Let u = 14 - 12. Which is the closest to -0.1? (a) j (b) g (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(6\/(-36)))\/(-2). Put 59, -5, j in descending order.\nAnswer: 59, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 7, 6, 4, -2\/11 in descending order.\nAnswer: 7, 6, 5, 4, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - -1. Suppose -7*r = -z*r - 517. Let s = r + -165. What is the greatest common divisor of s and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -5*z - 19. Let m be s(8). Let p(y) = -y + 82. Let x be p(0). Let c = m + x. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 199, 196, 189, 178, 163, 144, 121?\n\"Answer: -2*h**2 + 3*h + 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**3\/4 + 1874*b**2 + 31413*b\/4 + 13455\/2.\nAnswer: (b + 3)*(b + 1495)*(5*b + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 33 = 2*a, 4*a - 5*x = -5 + 68. Let s = a - 12. Suppose 2*d - 3*d + 1 = s. Which is smaller: d or 2\/91?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -7. Let v(h) = -916*h**2 + 3*h + 6 - 910*h**2 - h**3 + 1823*h**2. What is the remainder when v(u) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 + 3*v + 12. Let y be k(5). Which is greater: y or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 6*y - 22. Let a be (2*2\/(-5))\/((-4)\/y). Let k(b) = 2226*b**2 + 4*b - 12. Let x be k(a). What is x rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 9 + 9 = 0. Let o = l - 4. Let f(j) = -6*j**3 + 3*j**2 - o*j**2 + j**2. What is f(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t + 2. Let w(i) = i - 1. What is 3*d(y) + 5*w(y)?\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8165 and 25990?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -135, -15, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 901.5.\nAnswer: -90.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*v - 4 = 23, 0 = 4*b + 2*v - 114. Is 15 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1304, 1288, 1246, 1166, 1036, 844?\nAnswer: 578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -109 - -516. Let w = 420 - r. What is the highest common divisor of 117 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 755725207?\nAnswer: 755725214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 22223010312 (base 4) in base 16?\nAnswer: 2ab136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 5 (b) -1\/3 (c) 2\/55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13b9c - -57?\nAnswer: -13b45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.064, 3\/11, 707, -5 in decreasing order.\nAnswer: 707, 3\/11, -0.064, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/7, -1, -2, 2\/15, 559987\/3?\nAnswer: 559987\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 65? (a) -2 (b) 5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 + -12. Suppose 0 = 2*g - y + 1. Suppose -234 = g*p - 11*p. List the prime factors of p.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5510 - 6138 + 13*h + 628.\nAnswer: 13*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((6\/(-8))\/(-3))\/(1493\/5972))\/7.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 1:01 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f - 6. Let m(d) = -d**2 - 2*d - 1. Let v be m(-3). Let y be q(v). Factor 2 - 3*a**3 - 5*a**3 + 6*a**y + 4*a**3 + 2*a**3 - 6*a.\nAnswer: -2*(a - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 39, 0.81, 0.3?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 15 = w, 4*n - 150 - 45 = 5*w. Let o = w + 41. Let a(z) = z**2 - 30*z + 14. What is the lowest common multiple of a(30) and o?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 0 - -33) + 676 + -682.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**(-1\/6))*u)**40)**(-2\/131) assuming u is positive.\nAnswer: u**(-280\/393)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38\/(1292\/51))\/((-1545)\/206*14\/(-6)).\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - 0.058.\nAnswer: 0.142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/6)\/((-18)\/78)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in 1\/3, -2\/3, 4, 2, 149.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4643589 divided by -1.\nAnswer: -4643589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36\/298033 or 1?\nAnswer: 36\/298033","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -1)\/(677\/6770)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5641 + -5639. Solve 5 = -d*s + 3*u, -6*u + 7 = -s - 9*u for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t + 4*y + 4, 0 = -11*t + 10*t + 5*y + 5 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of t**5\/30 - t**4\/24 + 7*t**3\/2 + 109*t**2. What is the remainder when 130 is divided by m(5)?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g + 5. Let w(o) = 4*o - 5. Determine 3*p(v) + 2*w(v).\nAnswer: 2*v + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32.7 - -8.3. Let z = 41.63 - h. What is z rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 r, and 2 z when four letters picked without replacement from {z: 6, r: 2, a: 1, d: 5, u: 3}.\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**2 + 5*k - 5*k**3 - 19*k**2 + 56*k**2 - k**4 - 2 - 3*k - 3*k**2 to the form i*k + o*k**3 + j*k**2 + w*k**4 + l and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 58*s**2 + 1093*s - 151. Determine j(-73).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 79*z**2 + 379*z - 132. What is the tens digit of y(83)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 6:36 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 4, 294251, -5 in ascending order.\nAnswer: -5, -2, 1, 4, 294251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 7*x**2 + 8*x - 1. Let p be j(6). Let u(r) = -6*r + 2. Let b(c) = 17*c - 6. Determine p*u(m) + 4*b(m).\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 - -13. Let f = g + 14. Is 2 a factor of f\/(2 - (-13)\/(-7))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1054 (base 15) to base 12.\nAnswer: 1bba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -438 + 2*q + 251 - 26*q**3 - 5*q**3 wrt q?\nAnswer: -93*q**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 5. Let m = 1 - z. Let i = 0.9999982 + m. What is i rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-71 - -70)\/(3\/6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (396916\/(-5928) + 67)*(95\/25 + -3)\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.16860126110974 and 0.03?\nAnswer: 0.19860126110974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 10*d - 7. What is y(-3)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 7*t**2 - 11*t - 6. Let s(y) = 5*y**2 - 6*y - 3. Give 7*s(o) - 4*u(o).\nAnswer: 7*o**2 + 2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -148.\nAnswer: -44.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -261.9 * -42587\nAnswer: 11153535.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 10.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 4*g**2 - 11*g - 11. Let v(k) = -2*k**2 + 6*k + 6. Let c(a) = -a**2 + 6*a - 4. Let f be c(5). Let q = f - 12. Let y(m) = q*v(m) - 6*u(m). Factor y(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -297*w**4 - 2370*w**3 + 6879*w**2 + 8772*w - 180 = 0.\nAnswer: -10, -1, 2\/99, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 35*g**2 - 2*g - 1. Let t be -1*(1 + 1) - -1. Let h be o(t). What is the common denominator of -41\/16 and 2*(-13)\/h*11?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -3*m**3 + 48*m**2 - 210*m + 9. Let l(s) = 2*s - 1. Let a(h) = c(h) + 9*l(h). Suppose a(t) = 0. What is t?\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 5 + (-4 + 4 - 2)*(3 - 2 - 2))*(-z + 0*z + 4*z).\nAnswer: 18*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14322, 22956, 31588, 40218?\nAnswer: 48846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6060 (base 13) to base 7.\nAnswer: -53442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2))**(4\/21)\/(d**6\/d**(-3\/8))*(d**(-2\/3))**(3\/2)\/((d\/(d*d**(-2\/19)))\/d*d\/(d*d*(d\/(d*d\/(d*d*d**3\/d))*d)\/d)) assuming d is positive.\nAnswer: d**(-9133\/3192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (16\/(-36))\/((-22)\/6138). What is the highest common factor of 1767 and z?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 96 divided by -12\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1156*w**2 - 39091500*w - 330481265625.\nAnswer: -(34*w + 574875)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 131488 - 131471. Let q(x) = x - 17 + 2*x - x. Let u(o) = o - 6. Determine l*u(m) - 6*q(m).\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -258.\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 12:50 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4721 divided by -14\nAnswer: -4721\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24239666?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from bibbiiiibiiib.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.7? (a) 0.4 (b) 0.3 (c) -12945\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1161*f - 17403*f - 84433*f.\nAnswer: -102997*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - 4*o + 3. Let f be r(5). Suppose 0 = 2*m - 5*s - 5, 3*m - m - 2*s = f. Solve m*g - g - 28 = -4*h, -4*h + 23 = 3*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -91 + 0?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 106 (b) 0.2 (c) -1 (d) 4 (e) 7 (f) 0.4 (g) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 15*t**2 - 54*t. Suppose 3*m = -99*m - 787 + 73. Give a(m).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 9 and 21.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x = -5*x - 290. Let h = x + -63. Let v(d) = 4*d + 9. Let r(z) = -2*z - 4. Let p(s) = -5*r(s) - 2*v(s). What is p(h)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 42348060 and 279.9.\nAnswer: 42348339.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1728*f - 3 = -5*i - 1729*f, -4*f = -5*i + 38. Factor 3 - 13\/4*m + 1\/4*m**i.\nAnswer: (m - 12)*(m - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1214*q + 2649*q - 1258*q)*(-1 + 5*q + 1) in the form v*q + j*q**2 + a and give j.\nAnswer: 885","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -513872, -513871, -513870, -513869, -513868?\nAnswer: -513867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 134618818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -215 + 123. Let f = 112 + d. Factor -5*n**2 + 0*n**2 - 5*n**3 + f*n**2.\nAnswer: -5*n**2*(n - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 0.2 (c) -0.1 (d) -3\/17 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q + 3. Suppose -9*a + 7*a - 10 = 0. What is n(a)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 2 = -2*m. Let t(c) = 7*c - 5*c**m - 3*c**3 + 4 + 15*c**2 + 4*c**3. Let j be t(-9). What is the highest common divisor of j and 242?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -9. Suppose 0 = 4*j - 4 - z. Solve 2*s + 2*b + 8 = 0, -j*s - 3*b - 18 = b for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/15 (b) 0.5 (c) 5 (d) 0.16 (e) 1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxjjjx. What is prob of picking 2 x?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13.96633 and 0.03.\nAnswer: 0.4189899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of -s**9\/211680 + s**5\/30 + 2*s**2. Let f(k) be the third derivative of y(k). Determine x so that f(x) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22738.\nAnswer: 2, 11369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 14 = -t, g - 4*t = -29 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44.89 - -11.81. Let u = m + -54. Let q = 2.699932 - u. Round q to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 - -30 - (0 - 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 15, 73, 171, 309, 487, 705, 963?\n\"Answer: 20*h**2 - 2*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 5*v + 1 + 7, -4 = -x + v. Let t(p) be the third derivative of p**4\/8 - p**3\/6 - 13*p**2. Calculate t(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 6*c**2 + 2 + 0*c**3 - 8*c**2. Let k be v(7). Let s = 8149\/33 - k. Are s and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 49*t**2 - 94*t**2 + 47*t**2)*(-32 + 187 - 61)*(3 - 3 + 2*t).\nAnswer: 376*t**3 + 188*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*v - 377 - 111 = 0 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + 2*sqrt(77)*-2)\/sqrt(7).\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -12\/50875 and -56\/4477.\nAnswer: 559625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -4*m**5 + 1254744*m**4 + 1254784*m**3 - 11292776*m**2 + 13802244*m - 5018992 = 0.\nAnswer: -4, 1, 313687","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2077 minus 173.9?\nAnswer: -2250.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 - -31. Suppose m*o - 374 = 3*o. Solve -4*r = -o + 14 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 13 = b, -2*g - 5*b - 5 = -0*b. Suppose -5*n + 50 = g*d, 4*d - n = -d + 50. What is the tens digit of 104\/10 - 4\/d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -520.85\nAnswer: -156.255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 45 - 249 = m, -4*s - 272 = 3*m. Let d = 9 - s. What is the greatest common divisor of d and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, g: 1, i: 1, c: 4, y: 3}. Give prob of sequence ig.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -3 + -6 + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 40*y**2 + 32*y + 47. Suppose 2*k + 164 = 82. Let c be o(k). Calculate the highest common factor of 32 and c.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from qqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/9)\/((-14)\/1008*12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -74 (b) 1\/28 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 2855 = 2858 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 502.1101t in kilograms?\nAnswer: 502110.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13840056?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -3, -4\/5, -2 in descending order.\nAnswer: -4\/5, -2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, -35, -0.15907, -0.3?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 6 = 0, 2*k - 5 = k + 2*u for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4378 divided by 6\nAnswer: -2189\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {i: 1, m: 3, y: 1, v: 5}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 184 by -5428.\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34 - 1179.8.\nAnswer: -1213.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21116 + 21206. Calculate the least common multiple of x and 2718.\nAnswer: 13590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {z: 3, q: 11}.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -13*g - 16. Let b be k(-6). Let d = b - 55. Solve 16 = -2*o - 3*q, d = -5*q - 13 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 502 (base 10) to base 5\nAnswer: 4002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2885 - 109631\/38. Sort a, -0.5, 2\/11.\nAnswer: -0.5, a, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + z + 6. Let y = -22 + 38. Let j = y - 19. Is j >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-6))\/(10\/15) - -1. Solve -9 = -3*t - w for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1152053 and 145652415?\nAnswer: 1019566905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -21612 and -59.8.\nAnswer: -21671.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*q**3 - 80*q**3 + 166*q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 2. Let l = -43 - -48. What is the nearest to -0.1 in 2, s, l?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -4*m - 17. Let v be q(-5). Solve v = -3*y - 3 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1246850 divided by 550.\nAnswer: -2267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 25 = -9*v. Let g(i) = -5*i + 1. Let a be g(-2). Suppose -4*d - 5 = -5*p + a, 4*p - 4*d - 16 = 0. Solve -3*x + 1 + v = p for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -750 + 508. Let h = 243 + i. Which is smaller: h or -1\/62?\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-90)\/(-7))\/((-2)\/(-26) + (56650\/4004)\/103)\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30997 and 25715?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9041 is divided by 283.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 259 divide 56721?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 4*z = 5*c - 18, c - z = 0. Let j(y) = -2*y + 3. Let x be j(0). Let p = 1 + 4. Solve x + c = -p*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 99*h**2 + 107*h + 710. Let g be y(-100). What is the greatest common factor of g and 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence efe when three letters picked without replacement from efef?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-4) + 9\/4. Suppose -z + 6 = f*z. Let b be (2 - 5) + 6\/z. Solve 3*o + o = 3*d + 23, b = o - 2 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.859 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -313 + 16000?\nAnswer: 15465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iukununuuiki. What is prob of sequence nk?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 5292158736.\nAnswer: 5292158740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -359 + 363. Solve l - 1 = -2*p - 0*l, -d*p - 4*l = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 5*b = k + 11, k + 2*b + 5 = 0. Let i(x) = 10*x - 1. Let n be i(1). Is k\/n - 208\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 1350*y**5 + 5950*y**4 + 8954*y**3 + 5466*y**2 + 1120*y + 8 = 0.\nAnswer: -2, -1, -2\/5, -1\/135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.035 times -16?\nAnswer: 0.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/17522 or -7755?\nAnswer: -1\/17522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/4, 0.5, 2\/5, 4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*4\/12 + 5. Let s(l) be the second derivative of 0 + 1\/15*l**6 + 0*l**5 - 4*l + 0*l**2 - 1\/4*l**b + 0*l**3. Find the third derivative of s(m) wrt m.\nAnswer: 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4273*z - 4271*z + 2*z**3 + 8544*z.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 745 and 545?\nAnswer: 81205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 25 - ((3 - 7)\/(-4) - 8). Let c(t) = -40*t + 56. Let y be c(-9). Calculate the greatest common factor of w and y.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/308 and -63\/104.\nAnswer: 8008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 3*g + 15, -75*g + 5*h + 10 = -77*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i**2 + 2*i + 1. Let d be z(-6). Suppose 0 = 3*g - 4*g - 2*s + d, 5*g - 430 = s. Is g - (0\/3)\/(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 11:03 PM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -674 - -674. Let s(k) be the first derivative of -k**2 + 4*k - 9. Let a be s(0). Sort d, a, 6 in increasing order.\nAnswer: d, a, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 45213 + -45220.0014. Let l = 16 + -9. Let i = l + b. Round i to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -14\/99, 1, 0, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -12067*m - 132664. Determine t(-11).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*v - 31*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -863, -3418, -7659, -13586, -21199, -30498?\n\"Answer: -843*w**2 - 26*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -332 = -5*p - c, 6*p - 5*p - 3*c - 60 = 0. Let k = p - 61. Let f = 77 + -42. What is the highest common divisor of k and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/21*(-266)\/456?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1476 - 3.26386.\nAnswer: -3.11626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-8 - (-2 + -2)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 95551923 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 633709 to the nearest integer?\nAnswer: 796","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 + 35*b - 3450.\nAnswer: 5*(b - 23)*(b + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -58, 0, -1, 1, -7, -5.\nAnswer: -58, -7, -5, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 119805.5154 from 122.\nAnswer: -119683.5154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -112 and -21092.\nAnswer: -21204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, m: 3, n: 6, d: 4}. Give prob of sequence mm.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 330 + -328. Suppose b - z*q - 1721 = 0, 6482 = 5*b - 3*q - 2088. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 785192 (b) -0.3 (c) 3\/7 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 226 + -260 + ((2 - -1) + 1 - -1)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 27, 33, 41, 51, 63?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1684?\nAnswer: 2, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/6505584 and 5\/54.\nAnswer: 58550256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -56*o - 39. Let p be l(7). Let u = -244 - p. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -5*x + 2579*k - 2574*k, -2*k = 2*x - 8 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 7a0 (base 12) to base 7\nAnswer: 3201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 900 is divided by (-3*4\/18)\/(((-12)\/5382)\/1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) -1 (c) 8\/5 (d) -1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 4*d**3 - 14*d**2 + 11*d - 199. What is the hundreds digit of z(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -433*s = 3*v - 437*s + 10, -4*v - 26 = s for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-9\/5)\/v)**(1\/31)*((v\/v**(-23))\/v)\/v**11)**(1\/8) assuming v is positive.\nAnswer: v**(923\/620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -56\/2231?\nAnswer: -56\/2231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*j**2 - 14*j**2 + 610 + 50*j**2 - 11*j**2 - 329 in the form m + f*j**2 + n*j and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9 - 4*m**4 + 9 + (-17 + 10*m + 17)*(1 - 11*m**3 - 1) - m**4 - 4*m**4 + 2*m**4 - 3.\nAnswer: -117*m**4 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*j = 837595 + 2032005. What is j rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -1440?\nAnswer: -1\/360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31232 + -11?\nAnswer: 31221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 2:57 AM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(8\/7))**(-2\/31))**(-49) assuming b is positive.\nAnswer: b**(112\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1281907 + 1281907 + 174*l**2.\nAnswer: 174*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*w**2 - 1660*w + 116901 wrt w?\nAnswer: 12*w - 1660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - 9*y + 1. Let z(w) = -6*w**2 - 20*w - 63. Calculate -2*u(c) + z(c).\nAnswer: -4*c**2 - 2*c - 65","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 5 + (-40 + 36 - (-7 + 1))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(500)*4 - sqrt(500))*5)**2 + ((sqrt(720)*-2)**2 + -3)*-6.\nAnswer: 95236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**4\/17 + 134*k**3\/17 + 414*k**2\/17 + 418*k\/17 + 140\/17.\nAnswer: -2*(k - 70)*(k + 1)**3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.46, -7\/2, 3, 5 in decreasing order.\nAnswer: 5, 3, 0.46, -7\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddsodgs. Give prob of sequence og.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/(-15))\/7*-2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 56 - 24. Let i(o) = -o**3 - 15*o**2 + 18*o + 35. Let z be i(r). Suppose 2*a = z*f - 2*f + 418, -4*a + f + 838 = 0. Is a a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 2*a**2 + 41*a**3 - 1626*a - 39*a**3 - 2 + 97*a + 1 as z*a**3 + l + i*a**2 + c*a and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h - 6. Suppose 2*w + 2*w + 4*p - 8 = 0, 2*w - p = 4. Let t be 2 + (0 + -2)\/w. Let n(v) = 7 + t - v - 3. What is -3*k(c) - 4*n(c)?\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**3 + 42*d**2 - 23*d - 240. Is 60 a factor of q(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -3*y**2 + 0 + 0*y**3 - 1\/570*y**5 + 0*y + 0*y**4. Factor f(a).\nAnswer: -2*a**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20222122 + 20222?\nAnswer: 21020121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2\/49)\/k**12 assuming k is positive.\nAnswer: k**(-590\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*l + 20*l**3 - 34*l**3 + 15*l**3 in the form n + x*l**2 + i*l + u*l**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.95 + 1. Let r = -3.95 - p. Let g = 2369\/7 - 339. Which is the nearest to 0? (a) 5 (b) g (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3295 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*r**2 - 124*r**2 + 65*r**2.\nAnswer: 28*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5447, -3, -28, 2 in ascending order.\nAnswer: -28, -5, -3, 2, 5447","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -443.30104 rounded to the nearest 10?\nAnswer: -440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48229 = -17*k - 0*k. What is the hundreds digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -85\/8 + 329\/8. Let s = g - 29. Solve -1\/6*u**2 - u - s = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3 and -10.868935414434?\nAnswer: 11.168935414434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 6:41 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*a = 14*a + 13*a - 10. Solve -2*l + 3*y = -2, a = 2*l - 11*y + 9*y for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + w**2 + 3*w + 3. Let k(c) = c**3 - 3*c**2 - 7*c - 7. Let a = -64 - -57. Determine a*n(h) - 3*k(h).\nAnswer: 4*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/25 of a week?\nAnswer: 72576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) 4 (c) 2089985 (d) 25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 13*l - 37. Determine i(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15135*a - 7030*a - 1290*a - 11351*a + 9064*a to the form p + n*a and give n.\nAnswer: -25742","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, s: 2, v: 1, i: 4, w: 1, l: 2}. What is prob of picking 1 w and 1 l?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -450, 0.1?\nAnswer: -450","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -41*n. Let g(a) = 132*a. Let u(p) = 5*g(p) + 16*z(p). Let h(f) = 21*f - 27*f - 76*f. Calculate u(h(o)).\nAnswer: -328*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19332 - 19332. Which is bigger: 3\/2254 or f?\nAnswer: 3\/2254","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**17)\/f*f)\/f**(-3\/13)*(f*f**(1\/22)\/f)\/f**(6\/13))**(-15) assuming f is positive.\nAnswer: f**(69435\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (67 - (-40128)\/(-513)) + 9?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 85 and 255?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = o - 2. Suppose o = v - 54. Let d = v - 61. Put d, -5, -2, 4 in ascending order.\nAnswer: -5, -2, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.82 + 0.18. Which is the third smallest value? (a) 4 (b) x (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1703 + -0.1903. Which is the fourth biggest value? (a) 4 (b) -5 (c) -3\/8 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008371 to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6.323 + -222\nAnswer: -215.677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4\/5)\/b**6*(b*(b\/(b*b**1)*b*b)\/b*b)**(-2\/37))**30 assuming b is positive.\nAnswer: b**(-7668\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 7. Let y = b + 3. Let l = 8 + y. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 687 is divided by 69?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5f2 (base 16) in base 2?\nAnswer: -10111110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49\/((-637)\/78) + (111 - 197).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.13 (b) -0.4 (c) 2\/29 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 4*o**2 - 11*o - 14. Let l be f(-6). Let h = 254 - l. Is h <= 58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154\/(-1540) - ((-18)\/(-81) - 67\/270)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176 = 2*t + 2*t. Does 11 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -9*q + 238. Let c be r(26). Solve c*y = 2*y + 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -1.16\nAnswer: 0.116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 220085?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3829597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -0.3 (c) -48 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 227738181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/3 + -21 + 15?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - -9. Suppose -l + 5*t + w = 0, -t - 19 = 3*l - 4*l. Calculate the highest common factor of 2 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 787 (base 9) in base 16?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -19 (c) 3\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 73377 - 1?\nAnswer: 73376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 142360279147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4660229 to the power of 1\/2, to the nearest integer?\nAnswer: 2159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31 - -59. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -52, -0.09, 2, -12\/13 in ascending order.\nAnswer: -52, -12\/13, -0.09, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-16)\/x**(-1\/2))\/((x**(-16\/9)\/x)\/(x*x*x**(-14))) assuming x is positive.\nAnswer: x**(-445\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21888 and 128.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -321794 and 0.02.\nAnswer: -321793.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5*b + 10 = 57, -5*x = -b - 49. Let g = 16 - 10. Calculate the lowest common multiple of x and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*j + d, 6*j - j + 2*d - 25 = 0. Solve -2*z = j + 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 10*n**2 - 4*n. Let q be h(-10). Suppose 29*j + q = 30*j. Is 13 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 10*s - 5*s + 9*s - 2*s - 7. What is the units digit of q(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 470?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*t + 12 - 9*t - 10*t - 12.\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 740 divided by -1?\nAnswer: -740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14.2 - -17. Let w = -3 + c. Let s = 257\/1036 - -1\/518. What is the third biggest value in w, -1\/2, s?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 2:42 PM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/3)*a)**(-13)*a**1\/a*((a\/a**(-4)*a)\/a)\/a*(a\/(a**(-2\/3)\/a))**(-29)*(a*a**(-2\/7)\/a*a)**(-4\/29) assuming a is positive.\nAnswer: a**(-16666\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*q + 24*q = -240. List the prime factors of q.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 + 17*t + 10. List the prime factors of l(-26).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 1. Suppose -g + s + 18 = -f*s, 2*s = -4*g + 2. Factor g*i + 5*i**3 - i**3 - 3*i**3 - 4*i.\nAnswer: i*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**2 + 3*q - 7. Give v(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -1 + q + 1. Let s = 0 - -2. Let a(w) = -5*w**2 + 5*w**s + 2*w**2. Give n(a(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**3 + 4*h**2 - 2*h - 2. Let g(p) = -p**2 + p + 1. Suppose -14*m = 2*m - 3*m. Suppose 4*l = -4*q, m = q - 6 + 4. Determine l*g(r) - y(r).\nAnswer: -2*r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -68.07 + 19.47. Round j to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8567*v**2 - 128771*v**2 - 35223*v**2 + 860*v**2.\nAnswer: -171701*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -5, 0, 1, 3 in descending order.\nAnswer: 3, 1, 0, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2, 3, 12, 25, 42, 63, 88?\n\"Answer: 2*v**2 - v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -4*d + 9. What is the remainder when (-4)\/((3\/4)\/(-3)) is divided by (6\/3 + -1)*d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330301 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2782533 - -23?\nAnswer: 2782556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -16) + (1 - 6 - 2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1369*p**3\/2 + 99863*p**2\/2 + 5401*p\/2 + 73\/2.\nAnswer: -(p - 73)*(37*p + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 * -3.1\nAnswer: 2.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f - -195?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -401.4 + 460.4. Which is the closest to i? (a) 3\/4 (b) 0 (c) 1 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 436115.6ml to litres.\nAnswer: 436.1156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c - c**2 + 2 - 9 + 2*c**2. Suppose -4*b + 176 = 3*m + 773, 2*m + 6 = 0. Let a be 1\/(-4) + b\/(-28). Determine u(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2338208*s + 2338171*s + 1739 for s.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l**2. Let b(i) = -26460*i - 2. Give b(m(j)).\nAnswer: -79380*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 801448.\nAnswer: 3\/400724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -11*t + 3. Let u be p(-1). Calculate the remainder when (-2)\/9 - 38\/(-9) is divided by 2 + u\/(-8) + (-54)\/(-72).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -6*u - 5. What are the prime factors of 3*u*(-32)\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 927.2516ug in tonnes?\nAnswer: 0.0000000009272516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 234026 and 416?\nAnswer: 3744416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 4, -2\/11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19.4 - -19.2. Put 5, 0.5, o, 0.02 in increasing order.\nAnswer: o, 0.02, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3012 + 3017. Solve -5*d - 13 + 8 = 0, t*w + 3*d = 17 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 26?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113808?\nAnswer: 2, 3, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -147, -7.\nAnswer: -147, -7, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1591 and 15908323?\nAnswer: 588607951","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 6) to base 7\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76, 157, 238, 319, 400, 481?\nAnswer: 562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1330 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -312, -417, -102, 843, 2628, 5463, 9558, 15123?\nAnswer: 22368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -3. Suppose -n*v - 411 = -4*v. Let b = 276 + v. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + -10. Suppose 3*t + 11 = n*i - t, 4*i - 4*t - 8 = 0. Solve 2*a = -i*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/1*6\/126*7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-51 - 132 - -47) + 277?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + (4 - -27*1). Suppose -z - 5*u + w = 1, 4*z - 3 = u. What are the prime factors of (19 + z)*(-4)\/(-6)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -1. Suppose x + 2 = 9. Let b = x - l. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/3 - 2051*s**2\/3 + 6166*s\/3 + 8216\/3.\nAnswer: -(s - 4)*(s + 1)*(s + 2054)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 12*f + 16. Let m(w) = w + 1. Let x(v) = -v - 2. Let o(i) = -3*m(i) + x(i). Let s(z) = -5*d(z) - 16*o(z). Let k(q) = q. What is s(k(h))?\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 + 1)\/(2\/4). Sort -17, -1, b.\nAnswer: -17, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 11:27 PM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 58*s**2 - 20*s + 7. Is 62 a factor of k(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, j: 7}. Give prob of sequence ij.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -16 + (18 - -14) + -109 - 15\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - 6*g + 9. Let x be b(-7). Let u(d) = 2*d**2 - 2*d + 2. Determine u(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/9)\/((-8300)\/(-664))*(-10)\/(-6)\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*2*(4 + (-45)\/10). Let n(x) = -x**2 + 2*x + 2. Calculate n(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6333960896?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/(-20) + 322\/(-245))*-7. Solve 4*y + 0 = p*l - 8, 3*l - 2*y - 4 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 627132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2*b + 9 = 0. Suppose b = -l + 2*l. Let h = l + -4. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 5, 115, -4, 31, -3 in increasing order.\nAnswer: -16, -4, -3, 5, 31, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 7. Let f = y - 2.1. Let x = f + -1.74. Round x to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of 0*f**6 - 16*f + 0 + 0*f**2 + 0*f**4 - 7\/6*f**3 + 5\/21*f**7 + 0*f**5. What is the second derivative of h(r) wrt r?\nAnswer: 200*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -664 - -664.1388. Let j = r + -0.138227. Round j to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 420082.2 decades?\nAnswer: 4200.822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 840 and 89061840.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2003 + 2009. What is the smallest common multiple of o and 894?\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 421 - 675. What is the units digit of h\/(-12) - 4\/24?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 41*n - 4753. What is the remainder when 1948 is divided by k(118)?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 179418868?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 91 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/30 + 91\/3. Let k be 3\/p + (-6)\/(-15). Determine n so that k*n**2 - 1\/2*n - 1\/2*n**4 - n**5 + 3\/2*n**3 + 0 = 0.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00291146904 rounded to four dps?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of a**5\/60 + 3*a**4\/8 + 8*a**3\/3 + 17*a**2. What is the remainder when 14 is divided by f(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -4*q + 15, q - s - 70 + 68 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from ftftztftt?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 126, 262, 396, 528, 658?\n\"Answer: -i**2 + 139*i - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -286 less than 0.13?\nAnswer: 286.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 6) to base 7\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 51328935 greater than 51328935?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -53547*m**2 + 97619 wrt m.\nAnswer: -107094*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1754619937 a multiple of 292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 223998?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-170)*((-2438)\/69)\/53*2\/(-4)?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22097 is divided by 254.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 396 and 399 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65317*q**2 - 2*q - 65350*q**2 + 2*q.\nAnswer: -33*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/34084227?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 100202221101 (base 4) to base 2\nAnswer: 10000100010101001010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2528*p**3 - 2504*p**3 + 4864*p**3.\nAnswer: -168*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11142756 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10731191*s**3 + 4014422.\nAnswer: 32193573*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73078 is divided by 761?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142957586.\nAnswer: 2, 5987, 11939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 52 and -2.7.\nAnswer: -140.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 811833 and 77088.\nAnswer: 2409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2850 and 29165?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3154771 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -84 - -167. Let w = -14825995\/36 - -411831. Calculate the common denominator of w and 0 - 1*t\/(-24).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-2*3\/16). Suppose -2*n = 5*f - 4, 7*n = -2*f + 3*n - g. Suppose 0 = f*h - 8*h + 264. What is the highest common divisor of h and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 16\/120373 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -9*a. Let v(u) be the second derivative of -5*u**3\/3 - u. Let m = -208 + 214. Suppose 34*d - 33*d = m. Calculate d*v(i) - 7*g(i).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 610 and 113042638.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16)\/(-8)*2\/4. Let y = 1 + -1. Let a(k) = k**2 - 2 - 3*k**3 + 1 + y*k**3. Give a(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(75\/(-4)))\/(6*6\/900).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -18*d. Let w(a) = 288*a. What is -63*p(r) - 4*w(r)?\nAnswer: -18*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/3)*k)\/k**(12\/11))\/(k**(2\/5)*k**(-1\/3)) assuming k is positive.\nAnswer: k**(-27\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25.84771 + -25.85. What is t rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 919 equal to 916?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, l: 2, u: 1}. What is prob of sequence ulss?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + 11*g - 44 = 3*u, -5*g + 181 = -2*u. What is the remainder when g is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -27*j + 2. Suppose 5*d - 7 = -b, -180*b = -179*b - 2. Calculate t(d).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 120112680?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 15 + (-2 - 12) + -46 - -10\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ejm. What is prob of picking 1 e and 2 m?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6 and -1145.\nAnswer: -1151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3*c = -32 - 1, 0 = 2*c - 2. Solve -w*k - 44 - 1 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 14968760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minus -669196?\nAnswer: 669200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2490600 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 39358438 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3472 + 24356\/7. What is the common denominator of -27\/70 and c?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 109513 and 97.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 11*n + 108. Let v(u) = -25*u - 234. Let a(b) = 13*j(b) + 6*v(b). Let t(x) = -487*x. What is t(a(m))?\nAnswer: 3409*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**2\/5 - 54*b\/5 - 729\/5 = 0. Calculate b.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20574 divided by 14.\nAnswer: -10287\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) - (sqrt(66) - (sqrt(66)*2 + sqrt(66))*5))\/((sqrt(18) - sqrt(72))\/sqrt(3)) - -2*(sqrt(11)*-2*-4 + (-1 + sqrt(11) - sqrt(11))*2)**2.\nAnswer: -79*sqrt(11) + 1416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: -167+-3410.0515\nAnswer: -3577.0515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 34\/(147\/24 + -6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 187*w - 106*w - 266*w - 1193*w as l + x*w and give x.\nAnswer: -1378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/180*-18)\/(((-78)\/(-130))\/((-201)\/(-10)))?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 360.44\nAnswer: -1802.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/3 and -71\/45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, x: 1, p: 2, u: 1, z: 3, s: 4}. What is prob of sequence suzs?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-16)\/(-12) + ((-20)\/(-260) - (-27564)\/117). Calculate the highest common divisor of z and 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 13*j + 31*j.\nAnswer: 18*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 9. Let s = -4.51 - -0.81. Let v = s - -0.7. What is the closest to -1 in -0.5, b, v?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-448)\/(-120) - 120\/36\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g + g + 2*g + 5*g**3 - 40. Let j(o) = 11*o**3 + 13*o - 81. Let l(c) = -4*j(c) + 9*v(c). Let u be l(0). Which is smaller: -35 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1443 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0326092 and 100.\nAnswer: 99.9673908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 71 (b) 0.04 (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/n**(-1\/2)*n**(2\/41)*n assuming n is positive.\nAnswer: n**(209\/82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -4.4021.\nAnswer: 8.8042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 362133 and 4529.\nAnswer: 366662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/(sqrt(2) + sqrt(216)\/sqrt(12))*1 + -3)**2 - -3*(-5 + (sqrt(11) + 1)*5 + -4).\nAnswer: -37\/16 + 27*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2545)\/(-4072))\/((-10)\/(-8)))\/(1\/(-222))?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = x. Let s(g) = g**2 - 129*g + 1194. Let f be s(10). Sort -2, -4, f, x in decreasing order.\nAnswer: f, x, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15*k*m**2*q + 4*k*m**2 + k*q - 82*k - 2*m*q wrt q?\nAnswer: -15*k*m**2 + k - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -12121?\nAnswer: 12125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = r + 30. Let c(d) = 11*d**2 + 26*d + 35. Let g(o) = 7*o**2 + 17*o + 23. Let q(x) = -5*c(x) + 8*g(x). What is q(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(1800) + (3*-2*sqrt(1800) + sqrt(1800) - sqrt(1800))))\/(4*1*sqrt(900) - ((sqrt(900)*1 - sqrt(900)) + sqrt(900))*-4).\nAnswer: 5*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5717 + -5621. Is k even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78612, -77631, -75974, -73635, -70608?\nAnswer: -66887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -2\/9, 2, 8, 3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3 - 5 = 0. Let f be (-3 - g) + -2 + 2. Let y = -2 - f. Let c(i) = 4*i**2 - 3*i + 2. Calculate c(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 11*x**2 - 8*x + 19. Let v be a(-10). Let f = -8520033 - -9738396494\/1143. Let u = f - 5\/127. Is v < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**2 - 31*z + 1 - 30*z + 16*z + z**2 in the form x*z**2 + l*z + a and give l.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10948.82054 + 10949. Let o = 0.18 - b. What is o rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6663414.6 to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*q**3 + 45*q**2 + 20*q.\nAnswer: 5*q*(q + 4)*(2*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 2*a - 13. Solve 23 + 7 = -5*w - l, w = -3*l - a for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7722 divided by 6.\nAnswer: 1287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -118 - -117. What is the closest to 1\/3 in 0.8, -5, t?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1aa59 + 2?\nAnswer: -1aa57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 3, 4, 10, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, d: 1, q: 7, f: 1}. Give prob of sequence ql.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 4*k - 2 - 2, 0 = -5*m - 2*k + 10. Let u be (12\/8)\/(2 - (-15)\/(-6)). Put -5, m, u in decreasing order.\nAnswer: m, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25970460*d**2 - 10913*d - 190.\nAnswer: 51940920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tvttvvvttvttvv. Give prob of picking 2 t.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 p when three letters picked without replacement from sspf.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19279 is divided by 1062?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, e: 4, o: 6, b: 6}. What is prob of sequence bble?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 6*o = 2*o. Suppose -v + 239 + 65 = o. List the prime factors of v.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.7? (a) -9 (b) -35 (c) 1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 23 + 33. Is d a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of 21*s**3\/2 - 47*s**2\/2 + 7*s + 4. What is the derivative of n(o) wrt o?\nAnswer: 63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46 - 45.78. Let l = -0.18 - n. Which is the second biggest value? (a) -0.1 (b) -2\/23 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -4. Suppose r = j - 2*j + 60. Let l be j\/4*(1 + 2). Calculate the greatest common divisor of 15 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lly when three letters picked without replacement from kllrrlrrlytkry.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*r = -70, -4*k + k - r = -65. Let a be 46 - ((-2 - -2) + -2). Suppose -f = -5*f + a. Calculate the smallest common multiple of f and k.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 200 + -196. Which is the closest to 5? (a) 2 (b) 3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*z - z. Let y(n) = -6*n - 48 + 19 + 20 + n**3 + 10 - 3*n**2. Give y(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 11*h**2 + 5*h - 56. What is f(11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*z**3 - 4*z**2 - 206*z**3 + 113*z + 4*z**2.\nAnswer: -189*z**3 + 113*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q**2 - 11 + 0*q**3 - 4*q**2 - 6*q**3 in the form d*q + f*q**3 + y*q**2 + m and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1*(-3)\/(-6))\/((-9)\/(-36)). Let c be 1\/(-1) - (-1 + 0). Calculate the common denominator of 47\/8 and (c - -1)*9\/z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 38377?\nAnswer: -1\/38377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000004291 rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 957.\nAnswer: 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26 - 32 + 7*c + 56 to the form y*c + p and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**5\/((b*b\/(b\/(b**(1\/3)*b))*b*b)\/b))**3*(b\/(b**(-7)*b)*b*b*b*b*b**(-2)*b)**(-9) assuming b is positive.\nAnswer: b**(-85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(1100)*1 + -4 + sqrt(1100) + 0 + -2)**2*-2 + 1).\nAnswer: -2880*sqrt(11) + 53226","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -23. Suppose -r = -5*r + 36. Calculate the remainder when s is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -10*s. Let p(n) be the first derivative of -89*n**3\/3 + 831. Determine p(x(t)).\nAnswer: -8900*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19513992?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -288, -263, -244, -231?\nAnswer: -224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, -52, 4 in descending order.\nAnswer: 4, -28, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 171 and 247.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108893*q**2 - 74*q**3 - 108893*q**2 + q.\nAnswer: -74*q**3 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9360 - 9339. Are -6\/23 and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/(-10))\/((-24)\/(-120)). Solve -b*n + 8 = 12*u - 11*u, -2*u = 5*n - 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 601, 1, -0.08, -1, -0.27 in ascending order.\nAnswer: -1, -0.27, -0.08, 1, 601","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2067175608?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 63.34 + -57.34. Let c = -267\/106 + 1\/53. What is the fourth smallest value in 7, w, 0.4, c?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of p**4\/6 - 9*p. Let r(q) = 4*q - q - 2*q. Determine f(r(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3024, 12903, 29500, 52815, 82848, 119599, 163068?\nAnswer: 213255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 514 - 344 = 0. What is the greatest common factor of c and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1459 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 96013 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107091632?\nAnswer: 2, 6693227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7639 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: b\"What is the mth term of 1606, 6416, 14432, 25654, 40082, 57716, 78556?\n\"Answer: 1603*m**2 + m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3023\/19 - -159. Which is the closest to 0? (a) k (b) -2\/7 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 44*w**2 - w + 48. What is m(44)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/21)\/((-4536)\/(-67032))*(-3)\/(-8).\nAnswer: -19\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 4*z**2 - z + 2. Let u be v(-4). Let d = u + 1. Solve 3*r + 12 = d*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 962 - 556. Let n = s - 406.00267. What is n rounded to four decimal places?\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 97 + -97 + -19 + 168\/9.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of o*u**3*y - 502*o*u**3 + 2*o*u*y - 18737*o*u + 123*u**3*y - 199*u**2 wrt u?\nAnswer: 6*o*y - 3012*o + 738*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149 = 12*i + 89. Let l = i - -5. Solve 4*g + 4 = -4*y, 14 = -3*y + 4*g - l for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.103761 * -0.02\nAnswer: -0.00207522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7160021, 7160023, 7160025?\n\"Answer: 2*p + 7160019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 9*r = -44 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-5) + (-6104)\/(-40). Solve 5*q + i = 128 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*o - 74*o**2 - 290*o**2 + 75*o**2 - 127*o**2 - 16*o as s + w*o**2 + i*o and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -16. Let z(l) = l**3 - 7*l**2 + 6*l + 5. Let r be z(6). Suppose -165 = -r*q - 50. What is the remainder when q is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1973 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16 and 85.09694?\nAnswer: 1361.55104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -9*f**5 + 51*f**4 + 233*f**3 + 313*f**2 + 176*f + 36 = 0.\nAnswer: -1, -2\/3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 1 = 11 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 53240 at least 4099499\/77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -92*z + 132*z - 42840. Let i = z - 1049. Let d = -5 + 8. What is the least common multiple of i and d?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 4. Let p = -7 - -10. Let y = t + p. Sort 2\/5, y, -1 in descending order.\nAnswer: 2\/5, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -96 - 68. List the prime factors of a.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1970.\nAnswer: 2, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**5 + 14*k**4 - 32*k**3 + 16*k**2 + 32*k - 32 = 0. What is k?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -26*n - 5. Let s = -420 - -425. Let l(t) = 13*t + 3. Give s*l(y) + 3*p(y).\nAnswer: -13*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7688 - -28?\nAnswer: 28.7688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13991?\nAnswer: 17, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 2*u**2 + 90. Let a be x(0). Suppose 10*m = 7*m + a. Solve m = -5*q + 2*j, -11 = 2*q + 2*q + j for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14*u**3 - 11 + 7*u**3 - 3*u**3 + 0 wrt u.\nAnswer: 54*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -k - 4*u, 4*k + 146*u - 9 = 147*u for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 i when four letters picked without replacement from ipixipinniinn?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -50.1 + 41.1. Let r = 94 + -93. What is the closest to m in 5, r, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 14) to base 3\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151*n = 152*n - 4. What is the remainder when 668 is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/235 - 101092\/(-262636)\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12 - 12 - 4*l)*(-4 + 4 + 1 + (-2 - 1 + 0)*(-1 + 0 + 3) - 2 + 3 + 1 - 15 + 21 + 20)*(0*l - 3*l + l) to the form p*l + c + q*l**2 and give q.\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3360)\/(-16))\/14*(-4)\/6.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (86 - (5 - 4) - ((-10 - -2) + 16))\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72)\/10 + -30*(-16)\/80?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + r - 2 = -10, y - 4 = -3*r. List the prime factors of 614\/6 - -1 - y\/(-6).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.570503 centuries in millennia?\nAnswer: 0.4570503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(1\/((-3)\/12))*4. Suppose o + y = -2. Let s = -4.66 + 1.66. Put 3.2, o, s in decreasing order.\nAnswer: 3.2, s, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1195 + 15. Calculate the remainder when m is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*f**2 - 5 + 24*f**2 + 27*f**2 - 7294*f**3 + 21*f**2 + 7298*f**3.\nAnswer: 4*f**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-5*(((2*sqrt(171) - sqrt(171)) + sqrt(171))*4 + -4)*-5)**2.\nAnswer: -3000000*sqrt(19) + 171250000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33 + 2*a**2 - a**2 + 2*a**2 + 0*a**2 - 4*a + 5*a to u*a + j*a**2 + w and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -112 + 109. Let q be (-11 + 5 - z) + 7. Solve 8 = q*k + 2*v, -11 = k - 3*v + 1 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -9*w**3 + 5*w**2 + 10*w - 7. Let o(s) = 6*s**3 - 3*s**2 - 5*s + 4. Determine 5*o(p) + 3*r(p).\nAnswer: 3*p**3 + 5*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0, 5, -1\/2, -2\/27, 14\/39, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 465821 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2177965241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -0*t - 100. Let z be (t\/10)\/((-2)\/28). Let k = z + 70. What is the highest common factor of 7 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((42\/4)\/7)\/((-2)\/21) and -31\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 10*s + 6. Let n be t(9). Let i be 5*1\/(n\/9). Solve -2*c + 10 = i*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -279*p**2 - p**3 + 276*p**2 + 0*p**3 + 2*p as x*p**2 + t*p + u + i*p**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 30227.327 to the nearest ten.\nAnswer: 30230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 41*g**2 - 366*g. What is c(6)?\nAnswer: -504","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35 - -35. Suppose -2*i = -f*i + 24. Calculate the least common multiple of i\/((-4)\/(-1)) + 4 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/3, 0, -3\/7, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -28e2e (base 15) to base 13\nAnswer: -47aa1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 0 - (-1 + 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1920 and 20792?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -1. Let y = 0.6 + -11. Let n = y - -10. Put i, 0, n in descending order.\nAnswer: i, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 73*x**2 - 63*x - 357. Calculate o(-9).\nAnswer: 6123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of p**4 + 3*p**3 - 191*p**2 - 3354*p + 1 wrt p.\nAnswer: 12*p**2 + 18*p - 382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*c = -74*c + 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*n + 36*n = -217*n - 330*n - 34190 for n.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-6))\/(14665\/627662)\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**2 - 43107*g + 80674260 = 0.\nAnswer: -16045, 1676","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxxvxxvxxxxxxlff. What is prob of sequence fv?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-271*p + 218*p - 823*p)*(-1 + 4 - 5)*(-1 + 3 - 3)*(-3*p + 4*p - 2*p).\nAnswer: 1752*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -12823.237053 to the nearest integer.\nAnswer: -12823","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z. Let s = 0 - -3. Let b(w) = -1 + 8 - s. Let o(a) = b(a) + 2*m(a). Differentiate o(i) with respect to i.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1855955, 1855965, 1855973, 1855979, 1855983?\n\"Answer: -n**2 + 13*n + 1855943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 591606 and 2484.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -116, -221, -338, -473, -632, -821, -1046?\n\"Answer: -v**3 - 98*v - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.3 - -1.5. Suppose -4*y + q = -14, 4*y + 0*q = -q + 18. Let b be (-2)\/(-1)*9\/6. What is the biggest value in g, b, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47444 = 886*c + 1426*c - 676*c for c.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*c + 1221 = -202*c - 132*c for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7)\/((-7)\/7523604)*-2. Let d = y + 8447208. Round d to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175713133 is divided by 4022.\nAnswer: 4019","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -437, -3337\/9, 2\/5 in descending order.\nAnswer: 2\/5, -3337\/9, -437","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(2\/87)\/f*f**(-3\/8))\/(f\/(f\/((f\/(f*f**34*f))\/f)*f)*(f*f**(-1\/3)*f)\/f) assuming f is positive.\nAnswer: f**(25043\/696)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.024 in 0.4, -5, -9, -0.8308, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 4*p**2 + 3*p + 1. Let o be (1 + (4 - 0))\/(-1). Let v(y) = 7*y**2 + 5*y + 3. Let k(f) = o*u(f) + 3*v(f). What is the derivative of k(z) wrt z?\nAnswer: 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 9827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14\/9 - -37\/18. Let m = 382\/45 + -80\/9. What is the nearest to l in 3, m, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2533, 0, -299, -5.\nAnswer: -299, -5, 0, 3, 2533","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 585 and 3350.\nAnswer: 391950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3*i**3 + i**2 - i - 1. Let g(f) = 11*f**3 - 87*f**2 + 222*f - 138. Let l(h) = -2*b(h) - g(h). Factor l(x).\nAnswer: -5*(x - 14)*(x - 2)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a1 (base 15) in base 14?\nAnswer: ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -283 (b) 3 (c) 0.3 (d) 47 (e) 5 (f) -4 (g) 1\/8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*b + 19*b - 19 = 5*f, 20*b - 107*f + 145 = -112*f for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*s**3 - 20*s + 47*s - 27*s + 96*s**3.\nAnswer: 171*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -5*y - 7 + y - y + 3*y**2. What are the prime factors of o(-4)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of k**9\/756 - k**6\/40 + k**4\/8 - 14*k**2. Let j(q) be the second derivative of a(q). Find the second derivative of j(g) wrt g.\nAnswer: 240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vlxlmlixlvvlx. What is prob of sequence xl?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.8 + 1.909. Let y = z - 5.959. Round y to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*v = -134*v + 485 + 61 for v.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -1) + 3 - 3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 54153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**3 + 14*q**2 - 62*q + 610. Calculate t(8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 5*l - 3)*(5*l - 3*l + 0*l) + 1 - l**2 - 1.\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 53, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n - 1. Let t be (2\/5)\/(1\/10). Give z(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -507.5 + 64.5. Let q = s + 445. What is the second biggest value in 1\/6, -27, q?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -15 - -8?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 57 and 3306.\nAnswer: 3306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6472, 6128, 5786, 5446, 5108, 4772, 4438?\n\"Answer: b**2 - 347*b + 6818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -3, -97 in ascending order.\nAnswer: -97, -3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27180 and 1812?\nAnswer: 27180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46819 - 9034. Is 53 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408750513 to the power of 1\/4, to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90069 and 14028.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -101*q**3*u + 37*q**3 + 2*q**2 wrt u.\nAnswer: -101*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -185349846 divided by -3\nAnswer: 61783282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*q = 0. Suppose q*c = -4*c + 4. Let p = 9 - c. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 60 - 56. Suppose b*r + 214 = 5*k, -25 = -k - 3*r + 14. What are the prime factors of k?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.97 - 9.53. Let p = r - -9.64. Let b = p - -0.76. Is -47 > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/3 - 10152*n - 30454\/3.\nAnswer: -2*(n + 1)*(n + 15227)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27.93 - -23.93. What is the second biggest value in a, 0.05, 2\/43?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -15*y**2. Let w(f) = -7*f - 74. Let s be w(-11). Let q(d) be the third derivative of -d**2 + 0*d**s + 0 - 1\/24*d**4 + 0*d. Give h(q(k)).\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -16 - 56407?\nAnswer: -56422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 112 and 457022888.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 181 - 184. Let y(l) = l + 4. Let p(g) = -3*g - 9. Give b*p(m) - 7*y(m).\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2446 - 2337 = 97*v + 10*v + 460 for v.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1480 plus 0.3?\nAnswer: 1480.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -4*i - 9. Let z(f) = 5*f + 10. Let c be (18\/10)\/(309\/515). Calculate c*g(q) + 2*z(q).\nAnswer: -2*q - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 802615769.\nAnswer: 43, 434081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 60.12877g?\nAnswer: 60128770000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 13*p**3 - 218*p**2 + 159*p + 20. Give s(16).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 8613892 divided by -1230556\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**3 + 44*q**2 - 43*q + 24. Determine x(21).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -7, 0.6, 6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of 188 - 1\/2*p**3 + 27\/2*p + 6*p**2. Factor z(s).\nAnswer: -3*(s - 9)*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zuuuyzwwuuwumwawuuwu. Give prob of sequence wu.\nAnswer: 27\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 2*l - 25. Suppose 0*r + 5 = l*r. What is the remainder when 102\/4 - r\/2 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.02667274 - 0.02662. What is m rounded to six dps?\nAnswer: 0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 - 21 - 26 - 16*z + 73.\nAnswer: -16*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -20*s**3 + 8*s**2 + 3*s - 128. Find the second derivative of r(z) wrt z.\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 3*d = -2*h - 9, -4*h - 4*d + 12 = 0. Suppose 4*m + h*m = 8. Let w be (m\/2*-1)\/1. Which is the smallest value? (a) 2 (b) 3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, k: 1, l: 2, o: 4, z: 4}. Give prob of sequence ll.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12.2 * -1189.\nAnswer: 14505.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q = 3*q + 2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 191657, 383312, 574967, 766622, 958277, 1149932?\n\"Answer: 191655*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25933?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 10) to base 15\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/100*15\/(-27).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - 9*o + 4*o)*(-7 + 2 - 6).\nAnswer: 55*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*x**2 - 5964 + 5964 + (1 - 2 - 3)*(-3*x**2 + 4 - 4) + 4*x**2 + 17*x - 17*x to h*x**2 + b*x + q and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of n**3\/2 - 5*n**2\/2 + 2*n. Let u be z(-8). Let k = -20 - u. What is the smallest common multiple of k and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49 - 14. Suppose 5*r - x = -3*c, 2*r - c = -2*c + 14. Let m = -4 + r. Solve u - 8 = m*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - -5. Let n = g - -8.8. Let y = -1 - -1. Which is the smallest value? (a) n (b) 5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -101 + 103. Let b(q) = 16*q**2 - 6*q + 3. Does 5 divide b(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/(-10)*1\/(-3). Sort 0, 3, k in increasing order.\nAnswer: 0, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -331897*r**6 + 12*r**5 - 11*r**2 + 10169.\nAnswer: -39827640*r**3 + 720*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 79*w**2 - 80*w + 157. Let j be k(78). Which is the fifth biggest value? (a) -4 (b) 3 (c) -1 (d) -0.05 (e) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 7*g**2 - 5*g - 14. Let j(n) = -2*n**2 + 2. Let l(q) = -f(q) - 3*j(q). Calculate l(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123491525?\nAnswer: 5, 4939661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -331 - -322 - (1 + 0 + 2 - 11).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -9*y + 41. Determine u(7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4416*i - 59454 = 139266 for i.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/25 in 8, 29, -0.2, -14, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uz when two letters picked without replacement from {z: 1, l: 1, d: 4, u: 3, o: 4, w: 1}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3188 - 1904. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 14*q. Let n(r) = 17*r. Suppose -2*t = 2*t - 20. Let y(s) = t*n(s) - 6*x(s). Let z(p) = -16*p**2 - 3. What is y(z(i))?\nAnswer: -16*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, b: 4, k: 2}. What is prob of picking 4 b?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6909659735\/354 + 19518800. Let t = -4\/177 + b. What is the common denominator of -29\/130 and t?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*p + 3*p**5 - 17*p + p**2 - 5*p**5 + 18 + p**5 wrt p?\nAnswer: -20*p**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -5*k. Let o(s) = -174401107*s. Determine o(j(r)).\nAnswer: 872005535*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 552.7787l in millilitres?\nAnswer: 552778.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 - 163*z - 369*z + 47*z - 10 as h*z + t and give h.\nAnswer: -485","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (1\/2)\/(12\/(-30)*5)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (((-132)\/(-30))\/11)\/(1\/(-10))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (380\/(-32) + 12)*2 - (-191)\/36. Which is the closest to -8? (a) -3 (b) 0.5 (c) 2\/7 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 4*b + 5. Let k be g(-4). Is 36 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)\/sqrt(64))\/sqrt(5).\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6088, 24302, 54660, 97162?\nAnswer: 151808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12766 and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68966802 divided by 11494467.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-18))\/(4\/18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/42 + 41418\/(-41580) and -119\/220.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 4*g**2 - 6*g + 4. Let b be ((-455)\/39)\/((-15)\/18). Let y be (35\/15)\/(b\/36). Let l(u) = u**2 + u - 1. What is y*l(n) + s(n)?\nAnswer: n**3 + 2*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 46 = -3*c. What is the least common multiple of 22 and c?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -6*t + 6. Suppose -l = 4*j - 4*l - 23, -5*j + 27 = -2*l. Let y be h(j). Let f = -17 - y. Does 5 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3346890*o**3 + 2587360 wrt o?\nAnswer: -10040670*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - 1 + 1)*(4*q**4 + 4*q**4 - 6*q**4) + 39*q**5 - 18*q**5 + 36*q**5 - 3 + 2*q**3 - 4*q**3 + q**5 + 6.\nAnswer: 56*q**5 - 2*q**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4*4\/160*1\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -81\/2 - -42. Which is smaller: o or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4 = -0. Suppose 2*s = 3*s. Let d be 4\/(-14) - 185\/(-35). Put d, s, k in decreasing order.\nAnswer: d, k, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (16\/(-20))\/((-14)\/15995). Suppose -2*y + i + 3592 = 2*b, -2263 = -y + b. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4251 - -4258. Let n(a) = -a**2 + 7*a - 15. Calculate n(i).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62488.\nAnswer: 2, 73, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**5\/4 - 2131*h**4\/4 - 12121*h**3.\nAnswer: -h**3*(h + 23)*(h + 2108)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Is 1922753233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06 + 47131902.5.\nAnswer: 47131902.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7508.941ml?\nAnswer: 7.508941","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23320558?\nAnswer: 2, 439, 26561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 7*n**2 - 17*n - 10. Give h(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1331) - (sqrt(1331) + 0 - sqrt(1331))*-6)*-4)**2 + 0 + (0 + sqrt(1331))**2*-3)*5.\nAnswer: 86515","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -2514761277?\nAnswer: -2514761274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2 + 30*i + 25.\nAnswer: 5*(i + 1)*(i + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z + 5*p - 23, -5*z + 2009 - 2000 = 6*p for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5367 to 2 decimal places.\nAnswer: 0.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -57, -82, -107?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5234869061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -71?\nAnswer: 6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**3\/15 + 3722*b**2\/15 - 57520*b\/3 + 1084160\/3 = 0. What is b?\nAnswer: -1936, 35, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 192 + -43. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 5 + 53 = -4*z, 31*z - 35*z + 55*k + 129 = 0 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide -2*(-5)\/(-2) + 193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(((-15684)\/(-1307)*(-14)\/16)\/(9\/(-4)))?\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4535 + 9875. What are the prime factors of w?\nAnswer: 2, 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(228) + 2*sqrt(228)*-1 + sqrt(228))*-5)\/(-6*(sqrt(300) - (2*sqrt(300) - sqrt(300)) - sqrt(300)) - sqrt(300)) + 1 + 1)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*s - 78*s - 12 = -155*s, -15 = t - 2*s for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w - 2*w**2 + 3*w + 4*w**2 - 10*w**2 + 4*w**2 + (0*w + 3*w - w)*(4 - w - 4).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3.1*4\nAnswer: 12.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*m - 104 = -1545 + 91. Solve 29*v - m = 95 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 6*c**2 + 44. Let t(v) = -v**3 - 4*v**2 - v - 44. Let d(m) = -3*t(m) - 2*x(m). Is 4 a factor of d(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -67643, -135390, -203153, -270932, -338727, -406538?\n\"Answer: -8*i**2 - 67723*i + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of 1\/60*b**5 + 0*b + 0 - 2\/3*b**3 + 0*b**4 + 6*b**2. Suppose p(r) = 0. Calculate r.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11290?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 + -0.3. Let r = l + -3. Let z = -5 - r. Which is the second biggest value? (a) -4 (b) z (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u**4 - 3*u**3 + 4*u. Let o(p) = -p**4 - p**2 + p. Let w(m) = b(m) - o(m). Solve w(j) = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3*f + 105 = 0, 5*k - f - 106 = 73. Let c = -1 + k. Is 11 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 7 = -3*f - f, 10 = 4*o - 3*f for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14482 and -436.\nAnswer: 6314152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6456870?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8813.391 minutes?\nAnswer: 528803.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/3 (b) -886 (c) -246\/145\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -67.\nAnswer: 8\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*p = 6*p + 17. What is the closest to 3 in -3\/4, p, -2\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 1. Let g(m) = 47*m + 2714. Let p be g(-58). Let y(r) = 10*r**3 - 4. Determine p*o(d) + 3*y(d).\nAnswer: 42*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*a + 84 = 84 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + -0.2. Let c = -0.1 - o. Let b = c - 0.4. What is the smallest value in 2\/9, b, 2\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -83*l - 5195. Calculate j(-63).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/d**(-11))**(2\/33)\/((d*d**(2\/15))\/d*d*d*d**3) assuming d is positive.\nAnswer: d**(-239\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6568470*v**2 + 13255366.\nAnswer: 13136940*v","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 246*x**2. Let p be n(-1). Suppose -p + 234 = -4*h. Factor 0 + 0*r - 1\/5*r**2 - 1\/5*r**h.\nAnswer: -r**2*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9 less than -239?\nAnswer: -240.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwlwwwzwwmwwzwwv. What is prob of sequence zvmw?\nAnswer: 11\/21840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44 - 41. Solve 11 + 8 = 2*b + 3*t, -z*b = 4*t - 26 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 385.573*-0.0333\nAnswer: -12.8395809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1697 - -1311. Let h = 808 + -344. Let q = n - h. What is q rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36 + 18 - 1 + 26)*(2*r - 3*r + 2*r).\nAnswer: 79*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 3, -1\/5, 18?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 382863\/4454 and 87 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-1\/2))**(-4\/7)*(z**(-1))**(6\/7) assuming z is positive.\nAnswer: z**(-12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (96\/(-456))\/(6\/((-9)\/(-3)))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167491 is divided by 83608?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1008) + 4 + -1 - (-4*(sqrt(1008) + 1 - sqrt(1008) - sqrt(1008)) + 1 + sqrt(1008)*2))**2.\nAnswer: -576*sqrt(7) + 16164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 AM and 5:17 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of c**5\/5 + 532*c**3 - 2359*c - 1527. Find the first derivative of r(d) wrt d.\nAnswer: 4*d**3 + 3192*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1*p*p*p**4*p*(p**(-1)\/p)**(-2\/3))**(-1\/12) assuming p is positive.\nAnswer: p**(-7\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -8670 (base 15) to base 2\nAnswer: -110111100100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.90505 plus 7275.84?\nAnswer: 7323.74505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 2*y - 392, -2*p - 4 = -12. What is the remainder when y is divided by 54?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*u**2 - 6 - 24*u**2 - 24*u**2 as i + b*u + m*u**2 and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -954*d**3 - d**2 - 12*d - 124574 with respect to d.\nAnswer: -2862*d**2 - 2*d - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from klkgkgllgggklg. Give prob of sequence gkk.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 0)\/(1\/3). Suppose -t = -3*o - 15, -4*t = 2*o + o + 15. Let h(a) = -a**2 + 6*a + 1. Let b be h(6). Sort o, b, n in descending order.\nAnswer: n, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*o + 226*o + 2484*o = -48696 + 8390 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.5222166872 and -189.\nAnswer: -188.4777833128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*f**3 - 5*f**3 + 8*f**3)*((-1 + 5 - 3)*(2*f + 0 + 0) + 3*f + 4*f - 5*f - f - 1 + 1).\nAnswer: -81*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -685 to the nearest ten.\nAnswer: -690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -583998.198 rounded to the nearest 1000?\nAnswer: -584000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*p - 24152 + 23492 = 0 for p.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and 1616030913.\nAnswer: 1616030912.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3725 is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 61*f + 2353 + 1127*f**2 + 1130*f**2 - 2254*f**2 - 5*f wrt f.\nAnswer: 6*f + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-24)*(-129 + 792858\/6150)?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 80, 816, 2996, 7400, 14808, 26000, 41756?\n\"Answer: 130*p**3 - 58*p**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 17*l**2 + 6. Let x be m(17). Suppose -11*y = x - 17. Solve 8 = 3*a - y for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**3*j**3*z + 53869*c**2*j*z + 13*c*j + 68*c*z + 19*j**3*z wrt c?\nAnswer: -6*c*j**3*z + 107738*j*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 12 = 4*u, -2*u - 3*u - 4 = -i. Solve 0 = -5*t - u - 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 at most as big as -313?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 85889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 12:17 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2507777 - 5?\nAnswer: 2507772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + -92 + -1*(1 - 0). Let b = x - -17. Let d = 107 + b. Solve 5*l - d = 3*r, 8 = 2*r - 0*l + 4*l for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 883895 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (120\/32)\/(((-3)\/(-21))\/(16\/28))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - o + 5, -2*n - o - 3 + 5 = 0. Suppose n*c - 6*c + 33 = 0. Find the first derivative of -32*a**2 + c + 3 - 4 + 26 wrt a.\nAnswer: -64*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j**5 - 12*j**4 - 20*j**3 + 108*j**2 - 128*j + 48 = 0.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240 - 648 = -8*u. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 10 = 5. Let x(s) = 3*s + 47. Let m be x(c). What is q in 0*q - 3\/2*q**m - 3\/2*q**4 + 0 - 3*q**3 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1484, -12, 25 in decreasing order.\nAnswer: 25, -12, -1484","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 386 divide 142130218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34625 - 32570*n + 34625 to the form x + s*n and give s.\nAnswer: -32570","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + (-1 - (-1680 - (1 + 1))). Let q = w - 233. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1699152?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0386012 to three dps.\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.012, -48082, 5 in increasing order.\nAnswer: -48082, -1.012, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - d - 6)*(0 + 1 + 1)*(-2*d + 0 + 0).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 4:30 AM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-90 - (-4370)\/115) + -36?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2*2\/(12\/5)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1143, -2268, -3405, -4560, -5739, -6948, -8193, -9480?\nAnswer: -10815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -107 by 353570.\nAnswer: -107\/353570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*c - 96 = 0, v + 0*c - 55 = -5*c. Calculate the remainder when v is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/25 of a tonne?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - x**2 + 412. Let r be h(0). Suppose 289 = -3*q - 2*d - 37, 0 = -4*q + 3*d - r. Calculate the remainder when (-2)\/8 + q\/(-8) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -41?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 AM and 12:02 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1007813*n*v**2 + 76767*v**2 wrt n?\nAnswer: 1007813*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/14 + (-38875295)\/(-35). Suppose 4*n - 609277 = j. Round n to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 873109185?\nAnswer: 3, 5, 13, 19, 79, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 5167*h**2 + 2*h + 5972. Let p(d) = -10329*d**2 - 5*d - 11946. Let z(f) = -5*c(f) - 2*p(f). Differentiate z(n) wrt n.\nAnswer: -10354*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -288*d**4 + 289*d**4 + 14 + 29*d + 115 wrt d?\nAnswer: 4*d**3 + 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.53 - 5\nAnswer: -6.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87659 divided by 7969.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10636925?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -7 - (-3 + 7 + -2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -663943 or -663945?\nAnswer: -663943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10825\/53 or -8?\nAnswer: -10825\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 962*j. Let w(k) = -24*k**2 + 32*k - 480. Let q(r) = -r**2 + 2*r - 30. Let z(o) = 16*q(o) - w(o). What is z(g(l))?\nAnswer: 7403552*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 4*q**2 - 4*q - 3. What is y(-3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 6. Let s be 2 + (32\/(-30))\/(6\/15). Put s, u, 4 in descending order.\nAnswer: 4, s, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1227 in -7, -0.06, -43, 2, 5?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -46.0275 and -8.471?\nAnswer: 37.5565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000023934454 rounded to seven dps?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15866852.\nAnswer: 2, 433, 9161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*u - 2\/3 + 1\/3*u**2.\nAnswer: (u - 2)*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 + 5*j - 3. Let h be n(2). Let z be (12\/27)\/(30\/135). Let k(o) = -h*o**z - o**2 + 13*o**2. Let x(t) = 2*t**2. Give x(k(v)).\nAnswer: 162*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 11*(-17)\/4 + 18\/24. Let j = c - -114. Suppose -v + 20 = -2*k, -5*v + 5*k = -v - j. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -82 + 78. Put -14, h, 0 in decreasing order.\nAnswer: 0, h, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 4416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3090 a factor of 434914410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (13*26\/(-1521))\/(-2*(-2)\/(-60))?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203*a + 1065063 + 3124055 = -85*a. What are the prime factors of a?\nAnswer: 131, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + 4. Let x be c\/18*3\/(-2) - -2. Let o = x + 13. What is the smallest common multiple of 60 and o?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 12*h - 16. What are the prime factors of d(7)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/18 + 2 + (-20)\/8.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(396) + 1 + sqrt(396) - -1*sqrt(176)) + 2)**2 + -2 + 4.\nAnswer: 224*sqrt(11) + 2867","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - 19.1. Let t = 1.65 + o. What is t rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + z**3 + 0 - z**2 + 4*z + 2*z**2 in the form t*z**3 + u*z + l + h*z**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 5*b = -1470. Suppose 8*y - 30 = -b. Let s be 3520\/y*14*9\/(-24). What is s rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3686873*d**3 + 11789551 with respect to d.\nAnswer: 11060619*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21493?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29228 is divided by 4868.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372566098 is divided by 6199.\nAnswer: 6198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 + 32.1. Put 3, d, -5 in ascending order.\nAnswer: -5, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, t: 7}. What is prob of sequence ttt?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*q**3 - 17*q**3 - 12*q**3 - 17*q**3 + 57*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.302 + -0.30393. What is m rounded to four decimal places?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**3 - 68*r + 139*r - 71*r.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g - 116 = 11*g. Suppose 4*v = 2*v + 24. Suppose g = v*c - 907. List the prime factors of c.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -20 - (0 - 4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -u**3\/3 + u**2\/2 - 2*u + 42. Determine z(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 271684 + 0?\nAnswer: 271684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k**5 + 23*k**3 - 13*k**2?\nAnswer: 60*k**2 + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cvr when three letters picked without replacement from creever?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-823 - 714 - 58 - 2)*(-2*b - 3*b + 0*b).\nAnswer: 7985*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 11652442 (base 7) to base 3\nAnswer: 1222121010021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -797 - -4187. Is 3389 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + 3*p. Let b be 34\/(-51) - (-4)\/(-3). Let j be (0 + 24\/(-4))\/b. Let s be c(j). Solve 3*q + 1 + 2 = s for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(304) + (0 + sqrt(304))*-1 + sqrt(304) + sqrt(304).\nAnswer: 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4853888?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t**2 - 9*t + 11. Let z(a) = -3*a**2 + 9*a - 12. Suppose -2*l = -9 - 1. Let g(q) = l*z(q) + 6*i(q). Find c, given that g(c) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 462869?\nAnswer: 11, 29, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 6, 0, -3\/14258, -2.\nAnswer: -2, -1\/3, -3\/14258, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - (-260)\/(-15))*-3. Let h = -425\/7 + u. Let v = -5\/8 + 7\/24. Which is the closest to h? (a) v (b) -4 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1045900 rounded to the nearest ten thousand?\nAnswer: -1050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 155, 151, 137, 107, 55, -25, -139?\n\"Answer: -f**3 + f**2 + 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -5*s + 2. Let i be o(1). Let l be (-10)\/(-4)*(-12)\/(-3 + i). Suppose 2*d - h = -0*h + 234, -5*h = -l*d + 585. Is 21 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) -0.1 (b) -4 (c) 0 (d) -22 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 928 and 9644864.\nAnswer: 279701056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 447, -45, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 216928.3 + 2301886\nAnswer: 2518814.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6803 - 40907\/6. What is the common denominator of 38\/21 and m?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10802448.\nAnswer: 2, 3, 75017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of 3*s**3 + 7*s**2\/2 - 3*s - 132. Is f(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 2*w + 2*w)*(3 + 62*w - 7 + 3)*(3*w + 0*w + 0*w).\nAnswer: 744*w**3 - 12*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 519374111 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7393 + 36968\/5. Sort x, -103, 5 in ascending order.\nAnswer: -103, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 185*967.66.\nAnswer: 179017.1","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Convert 597039.57ms to hours.\nAnswer: 0.165844325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 5 = j - 19, 5*p - 4*j + 41 = 0. Calculate the remainder when 4 + p\/((-20)\/384) is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1)*(-1 + 5 + 7)*(o**2 + 4*o**2 - 4*o**2).\nAnswer: -22*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -17*n + 30 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 3*m + 6. Let z be 121\/(-44) - m\/8. Sort -1, z, 2.\nAnswer: z, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 149 = v, 0*v - 795 = -5*v - 5*o. Suppose -4*l + 3*q - q + v = 0, 114 = 3*l + 3*q. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5107246 (base 8) in base 5?\nAnswer: 321102423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**2 + t**2 - 43 - t**3 - 5*t + 30 + 2*t**3. Let d be y(-4). Calculate the common denominator of 66\/d*((-46)\/(-10) - 4) and 22\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*w**2 + 29*w**2 + 106*w**2.\nAnswer: 180*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-3 - (-5)\/1) + 37. What is the second derivative of x*u - 19*u - 61*u - 81*u**2 + 2 wrt u?\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 247*y + 3774. Let j(d) = 141*d + 1887. Calculate -7*j(s) + 4*o(s).\nAnswer: s + 1887","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (74*a - 36*a - 35*a)*(0 - 1 + 4) + (-2*a + a + 3*a)*(-1 + 0 + 2) - 3*a - 3*a + 4*a.\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0116 - 0.0118045. Round l to five dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/360*9)\/((-189)\/420*2\/30)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 121 = 5*h + 120, 0 = -8*u + 5*h - 34 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 6*u + 7. Let f be o(5). Let v be (10\/(-18))\/((-100)\/43200*48). Solve -5*m - v*d = -25, -3*d = 5*m - 27 + f for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/((-8)\/(-6))*(-14)\/42. Let m = 0.806 + -0.306. What is the third smallest value in r, 0.065, 5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 29, 2\/11, -312?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**3 + 38*s**2 + 3*s + 3. Does 29 divide m(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702181.7um in centimeters?\nAnswer: 70.21817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -12*v - 189. Give u(-61).\nAnswer: 543","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/10)\/(8\/(-60)). Let y(x) = -x**3 + 8*x**2 - x + 38. Let q be y(8). Let b = g + q. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22780?\nAnswer: 2, 5, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 j when three letters picked without replacement from {e: 3, j: 8, m: 5}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 16 - 4. Let d be (388\/i)\/((-1)\/15*-2). Let y = d - -2501. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 816, 813, 800, 771, 720?\n\"Answer: -g**3 + g**2 + g + 815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 11 = -4*b - 6*w, 0 = -5*b - 4*w + 16. Suppose 3*m + 75 = 2*v, -v - b*m + 10 = -0. Does 16 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, t: 1, k: 1, n: 6, c: 1, f: 1}. What is prob of sequence kfc?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/5*(210\/(-36))\/(-7)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 5*r = 0. Suppose r = x + 3*x. Suppose y - v + 3 = x, 0*y - 5*y + 3*v - 5 = 0. Solve 3*d = 4*q + 9, -y*q = -d - q + 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -60*z**2 - 619*z + 448. Give h(-12).\nAnswer: -764","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11\/15 + -2\/5. Is y >= 1\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -307739*x. Let i(r) = 19*r**2. What is i(c(h))?\nAnswer: 1799362550299*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 + -51. Let q = j - -12. Let a = -3 - q. What is the second smallest value in 0.4, a, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-6)*((-208)\/(-4) - 4). Suppose -a = -4*h - 2*d, 4*d - 6 - 6 = -2*h. Calculate the smallest common multiple of h and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 - 6. Suppose 2 = -o + b. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1210365 is divided by 84?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = 4*t + 63. Suppose -3*b + 3*d = 3, 0*b - t*b = -5*d + 5. Is -2\/65 < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 4*w - 3. Factor 28 - 26 - z - 4*z**2 + w*z.\nAnswer: -2*(z - 1)*(2*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4496, -7258, -10000, -12722?\nAnswer: -15424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = k - 5*f, 0 = -3*k + 3*f + 15 - 6. Solve -w = k*w + 10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19586483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/1767 and 113\/18966?\nAnswer: 11170974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 502849, 1005698, 1508547?\nAnswer: 2011396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 141*u - 383898 - 2066823. What is the ten thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/2 less than or equal to 22\/3133?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16409 = 31*w - 16947. What is the remainder when w is divided by 268?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -29*l**2 + 2333*l + 4655. What is i(-2)?\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -306.1 + 306. Let b = -9.27 + 10.27. Let x = 16 + -58\/3. What is the closest to k in x, -2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5343 + 5343. Solve 6*n + w = 3*n, -3*n + 5*w + 18 = t for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19\/10828 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 671?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/5*a**4 + 4\/5*a**3 + 8\/5*a + 14\/5*a**2.\nAnswer: -2*a*(a - 4)*(a + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1527 - 159 + 1128 = 48*r. What is the remainder when 1740 is divided by r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 275?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2094 = -k - 2*k. Suppose 5*x - k = -98. Calculate the greatest common divisor of x and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of q**3\/6 + q**2\/2 + 3*q. Let w be a(-1). Let s = -3 - -8. Sort w, s, 3 in descending order.\nAnswer: s, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1739+-0.58285\nAnswer: -0.75675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.1, 5, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (105 - 175) + -1 + 50.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.02 + -4.02. Let m(z) = -z**2 + 13*z + 7. Let o be m(16). Let y = -41 - o. Which is the third smallest value? (a) t (b) y (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1712 a factor of 275847712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 21 = 19. Let k(v) = 5*v + 29. Let a be k(f). Suppose 0 = 2*s - 4*s - d + a, -17 = -s - 4*d. Does 9 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6876788 to the nearest integer?\nAnswer: 2622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 162*m**2 + 62*m - 26. Let n(a) = -18*a**2 - 7*a + 3. Suppose -3*w - 2*l = 166, -w + 2*l = 3*l + 57. Let v(g) = w*n(g) - 6*i(g). Factor v(f).\nAnswer: -4*f*(9*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 82*j**2 - 388*j + 224. Determine c(77).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -100 - -66. Let q = 30 + i. Which is the second biggest value? (a) -0.28 (b) q (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3681 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.8362678 minus 114?\nAnswer: -132.8362678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1136448779.\nAnswer: 463, 2454533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p + w - 3, 5*p + 5*w = 2*p + 15 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3369*g + 1680*g + 1765*g.\nAnswer: 76*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 809 + -412. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20206 - 26445392?\nAnswer: -26465598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 123415, 123037, 122661, 122287, 121915, 121545, 121177?\n\"Answer: o**2 - 381*o + 123795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 161268 by -2.\nAnswer: -80634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 0*f - 90 = -5*f, f - 64 = -3*s. Let k = s - 20. What is the third derivative of -5*l**2 + 2*l**3 + 11*l**k - 1 + 1 wrt l?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/9)\/q)**(-3\/28)*(q\/((q**(1\/2)*q)\/q))\/q**(-1\/11))**(-13\/5) assuming q is positive.\nAnswer: q**(-8671\/4620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2108 is divided by 88?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 19 (b) -1\/2 (c) 0.347 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.5 + 0.4. Let h = -177144 + 177142. Let k = -3 + 3.5. What is the closest to u in h, k, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -145307 (base 9) to base 8\nAnswer: -256144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -216.6 (b) -4\/7 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**2 + h + 3. What is f(-6)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94781, -189563, -284345, -379127, -473909, -568691?\nAnswer: -663473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -16*t**4 + 5*t**3 + 5*t**2 + 5*t + 8. Let j(w) = -15*w**4 + 4*w**3 + 4*w**2 + 4*w + 7. Let r(p) = 5*j(p) - 4*v(p). Differentiate r(s) wrt s.\nAnswer: -44*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 3:08 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 173, 176, 161, 128, 77?\n\"Answer: -9*q**2 + 30*q + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r + 22*r + 74 - 72.\nAnswer: 15*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 7 (b) 1 (c) -0.16 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3117863 and 1336227.\nAnswer: 9353589","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31 * -36827.\nAnswer: 1141637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, o: 4, k: 2}. Give prob of sequence okko.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fxfzmzzxxxmhzzmxzf. Give prob of picking 1 x, 1 m, and 1 h.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42.4 + -62.4. Let g = -18.3 - -38.7. Let y = g + m. What is the second biggest value in -0.4, 3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 364 - 369. Suppose -m*q - 3*l + 1142 = -1063, 881 = 2*q + l. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(1100)*-6)**2.\nAnswer: 990000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 53*b - 2. Suppose -27*f - 3 = m - 28*f, -1 = -3*m - 2*f. Give s(m).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 215445430 (base 7) to base 3.\nAnswer: 220111111021221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 20, 6, 2, -8, -1\/609?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 23, 2507.78, 2\/9.\nAnswer: -5, -4, 2\/9, 23, 2507.78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6261 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + 3 - 12)*(2*f - f - 2*f + (2 - 2 - 2*f)*(-5 + 6 + 0) + 2*f + 0*f - f - 2*f + 2 + 2 + 1)*(4 + 2 - 28).\nAnswer: 264*f - 330","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c**3 + 1429*c - 1429*c.\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -7*g**3\/2 + 13*g**2\/2 + g. Is y(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 56*v**2 + 40*v**2 - v - 155*v**2 + 5*v + 41*v**2 to the form q*v**2 + c + l*v and give q.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 959, 3, 318 in descending order.\nAnswer: 959, 318, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -3, 799251, -1, -2\/5, -5 in descending order.\nAnswer: 799251, -0.1, -2\/5, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xmc when three letters picked without replacement from {c: 1, x: 1, a: 1, m: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((((s**(1\/4)\/s)\/s*s)\/s)\/s))\/s)**(4\/5)\/(s**(2\/27)\/(s\/s**(-2\/9))) assuming s is positive.\nAnswer: s**(452\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 572983683 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: Solve -2*c + 20 = -5*j, -478*j - 8 = -476*j + 3*c for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -5*q**6\/21 - 78*q**5\/35 - 8*q**4 - 272*q**3\/21 - 48*q**2\/7 + 32*q\/7 + 96. Factor x(w).\nAnswer: -2*(w + 2)**4*(5*w - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**11)\/(l\/(l*l\/(l**(10\/3)\/l))))\/((((l\/(l*l**(-6)))\/l)\/l)\/((l**(-10\/3)\/l)\/l)) assuming l is positive.\nAnswer: l**(-62\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + n + 3, -10*g + 8*g - n - 3 = 0. Solve g = -4*s + 12 - 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-1 + (-1)\/(4\/(-4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (-78)\/(539\/187 - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s + 0 = 21. What is the highest common divisor of 12 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 37 = -8. Suppose -y*d + 2*d - 27 = -4*o, d + 2 = -o. Let v be o - -1 - 7\/1. Which is smaller: v or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddbbddbbutbbdbbubud. Give prob of sequence bt.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1392763417 - 1392764528.999417. Let j = 1112 + x. What is j rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oy when two letters picked without replacement from {o: 8, y: 3}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 176 and 396.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 3242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 66 + -64. What is the lowest common multiple of o and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (11 + ((-296)\/88 - 8))*-11. Let o(l) be the second derivative of 0*l**2 + 0 + 1\/12*l**3 - 28*l + 1\/48*l**x. Factor o(b).\nAnswer: b*(b + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -42, -50?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 107692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3076.36 rounded to the nearest one hundred?\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*d**2 + 24*d**2 - 74 - 15*d**2 - 101*d**3 + 70.\nAnswer: -101*d**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1093 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: Which is greater: 18\/37 or 0?\nAnswer: 18\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*x - 4*x - 9*x + 10*x + 9*x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 77021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/1187 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**2\/3 - 1894594*l - 5683780\/3 = 0. Calculate l.\nAnswer: -2841890, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 7, h: 1, b: 2, n: 2}. Give prob of picking 1 b, 1 z, and 1 n.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5246?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-24)\/(d\/(d*(d*d*d\/(d*d**(-3)))\/d)))\/(d**(1\/5))**(4\/5) assuming d is positive.\nAnswer: d**(-504\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 12:44 AM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + 11*q - 10. Suppose 4 = g - 5*h - 8, 3*g = -5*h - 64. What is the least common multiple of 0*(-1)\/(-2) + -18 + 22 and d(g)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -656, -746, -990, -1466, -2252, -3426, -5066, -7250?\nAnswer: -10056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 699 and 698 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 0)*(-10*s - 12 + 12).\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 4542743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/15 - 6581282*c\/15 - 6581272\/3.\nAnswer: -2*(c + 5)*(c + 3290636)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -3167*i**2 + 1555*i**2 - i + 1577*i**2 - i**3 as k + l*i**2 + w*i + x*i**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -13032 (base 6) to base 5\nAnswer: -30324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -81*h**2 + 66*h - 25989.\nAnswer: -162*h + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 110010011110101001011 (base 2) to base 9\nAnswer: 3100878","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-three quarters of a litre?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*u**4 + u**4 + 5*u**4 + (-11 + 11 - 9*u**2)*(-u**2 + 2*u**2 - 4*u**2) as w + n*u + r*u**2 + l*u**4 + s*u**3 and give l.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t - 19. Let k be s(13). Suppose -n = -0*n - k. Solve 2*m + 10 = -4*f, -4*m + 3*f - n = 2 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/44294 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - 7*o + 3*o - 1)*(15*o - 9*o + 5*o).\nAnswer: -44*o**2 - 11*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -0.1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 109, 465, 1055, 1879, 2937, 4229, 5755?\nAnswer: 7515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -22*u**3 - u - 1. Let m be o(-1). What is the hundreds digit of ((-334)\/(-4))\/(m\/44)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 687952150.\nAnswer: 2, 5, 13759043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**2 - 49431 + 0*m**2 + 49431.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -4\/5, 37450.4, -1?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/44 + 430\/(-1100).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 0 + (2 - -3) + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -607, -350, 79, 680?\nAnswer: 1453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34 - 21. Let h = 8 - 9. What is the remainder when ((-5)\/5)\/(h\/23) is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8816 and 304?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**4\/5 + 1456*o**3\/5 + 13221*o**2\/5 - 10548*o = 0 for o.\nAnswer: -12, 0, 3, 1465","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 7:52 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u - 3. Let n be h(-3). Let x(t) = 2*t**2 - 5*t + 1. Let d(y) = y**2 - y. What is n*d(z) + x(z)?\nAnswer: -4*z**2 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v**3 + 34*v**2 - 9*v + 87. Let o be d(11). Suppose 0 = 5*y - 2*y - 192. Let j = o - y. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 465*-55.05\nAnswer: -25598.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2*r = -52, -3*w + w + 5*r + 14 = 0. Suppose -7 = -j - w. Let f(u) = u**3 + 6*u**2 + 5*u - 2. Calculate f(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -5. Suppose -j - 1 + 6 = h. Solve 0*s = 5*u + j*s - 5, 0 = 4*u + 2*s - 8 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1078*x = 1112*x + 63410. Which is greater: x or -1863?\nAnswer: -1863","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 2 w, and 1 z when four letters picked without replacement from wwymjzyyjwy?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -4*q + 15. Suppose 0 = q*n - 3*y - 44 + 8, 5*n - 3*y = 54. Let a = 13 - n. Solve -a + 2 = -d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/186192 and -19\/192?\nAnswer: 744768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3\/7 + 48*u**2\/7 + 52*u\/7.\nAnswer: -4*u*(u - 13)*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (8280\/3795)\/(3\/(-33))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**0*x*x**(-5)*(x*x**(5\/2)\/x*x)\/x**(-6))**(-28))**(-14) assuming x is positive.\nAnswer: x**2156","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + 7 + -7 - (-79 - -6)) + (-15 - -4).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/3)\/((-1)\/1). Let z be s*(-2 - 16\/(-6)). Which is the second biggest value? (a) 2 (b) z (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -47, -7 in decreasing order.\nAnswer: 0.5, -7, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -955 - -5550. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13827379 and 127.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 315 (b) -24\/43 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -32.93378723 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 37619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 4*p**3 - 2*p**2\/7 = 0.\nAnswer: 0, 1\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1056668 to the power of 1\/2, to the nearest integer?\nAnswer: 1028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 + 32. Let g be 6 - u*2\/6. Suppose -2*t + 1110012 = -3*f - g*t, 5*f - t + 1849996 = 0. What is f rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) - (sqrt(44) - (sqrt(2156) + sqrt(2156)*-2 - sqrt(2156))))\/(sqrt(4) + (-3*sqrt(12))\/sqrt(3)).\nAnswer: 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of y**6\/40 - 11*y**5\/20 + 4*y**4 - 14*y**3 + 10*y**2. Factor g(f).\nAnswer: 3*(f - 7)*(f - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -3*r - 2 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 91148.94um?\nAnswer: 0.09114894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4232 + 5876. Does 6 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -14 (b) -2\/3 (c) 4.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3 + 2 = 0. Let u be (1\/2)\/(r\/12). Let g = u + -4. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93 - 638 + 6*l - 252.\nAnswer: 6*l - 983","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 0, -5573.\nAnswer: -5573, -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -5. Let o = d - -1. Is 2 at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -28a - 2?\nAnswer: -291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c*c**(-7))\/c*c)\/c*c*c*c*c**(-11))**(1\/19) assuming c is positive.\nAnswer: c**(-14\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b4d5 (base 15) to base 7\nAnswer: 216305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - (-52)\/(-6))\/((-10)\/135). Let q = c - 47. Calculate the greatest common divisor of q and 344.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 577694209 to the nearest integer?\nAnswer: 24035","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 5*b + 7 = 5*w, -w - 2 = 0. Let y be (1 - 3) + b + 1 + -4. Solve -y = -5*u + u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1218 - -5\nAnswer: 1223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 - 142 = -3*t. Solve -2*m + t = -0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 169579895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/(-2)*(-1 + (-15)\/(-7)). Suppose j*l + 393 = 4*h + l, 0 = l - 1. Is 12 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -46*o. Let a(q) = -73366*q + 122. What is a(g(c))?\nAnswer: 3374836*c + 122","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + 0*f + f)*(17*f + 17*f - 11*f + (-4 + 2 + 1)*(0 - f + 0)).\nAnswer: 72*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*j + 2298 - 2322. Solve -3*z = -4*z - j for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 - -26. Let k = v + 21. Is k a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -304*w + 312. Determine c(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(72) - sqrt(72)*2) + sqrt(72))\/sqrt(3))\/(sqrt(108) + (sqrt(108) - sqrt(108)*1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/3))**(-15)*(f\/f**(3\/4))\/(f\/(f**(-7)\/f)))**(-17) assuming f is positive.\nAnswer: f**(1275\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-21))\/(144\/4368*-78)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -18*h**2\/5 - 30457678*h\/5 - 6768372\/5 = 0.\nAnswer: -1692093, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 87920*j + 136606.\nAnswer: 87920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 10*i**2 + 12*i + 3. Let t = 13 - 21. Let k be w(t). Let r = k + -24. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 92*t. Let c(k) = k**2. Calculate g(c(d)).\nAnswer: 92*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278*m + 267*m - 67 + 1 = 0 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -631, 4, -0.03, 3, 0, -1 in descending order.\nAnswer: 4, 3, 0, -0.03, -1, -2, -631","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2622 and 4545789?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*x - 66 = -29*x. Which is smaller: -6\/241 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/2 - (-62 - -62). Suppose -2*h + f - 5 = c, 0 = -6*h + h + 2*f - 10. Solve h = -2*p, 4*p = -r - 1 + 3 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71045?\nAnswer: 5, 13, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 249*t**2 + 5*t + 209*t**2 + 131*t**2 - 542*t - 126*t**2 wrt t.\nAnswer: 926","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-21)\/28*2 - (-2)\/(-4). Is c less than -4\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 0*k = n - 6, -4*k - 19 = -5*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -51*t**2 + 17*t + 17. Let b(r) = 2*r**2 - r - 1. What is -85*b(a) - 5*k(a)?\nAnswer: 85*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 746801 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 243301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -0.1 (c) -2 (d) 131 (e) 16 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**4 - 2 - c**4 + 0*c**4)*(-2 + 20 + 4).\nAnswer: -22*c**4 - 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*d**3 - 3\/4*d**2 + 0*d + 0.\nAnswer: d**2*(d - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2\/5 + 2931144*f\/5 - 536975321796\/5.\nAnswer: -4*(f - 366393)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2993, 4468, 5947, 7430?\n\"Answer: 2*k**2 + 1469*k + 1522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 2*u**3 + 4226*u**2 - 8460*u = 0.\nAnswer: -2115, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1520775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*l = -74*l. Suppose o = -4*j + 64805, j - 2*j - 3*o + 16215 = l. What is j rounded to the nearest one thousand?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12122 (base 3) to base 14\nAnswer: -ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81675*x**5\/8 - 26709705*x**4\/8 - 40099461*x**3\/4 - 13714461*x**2\/2 - 161841*x - 972 = 0. What is x?\nAnswer: -324, -2, -1, -2\/165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/(-10)*(2 + -18). Calculate the highest common factor of 16 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13846 = 10*a + 4996. Is 59 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/8? (a) -3 (b) 0.5 (c) 0.2 (d) 16 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 644408, 2577794, 5800100, 10311326, 16111472, 23200538, 31578524?\n\"Answer: 644460*w**2 + 6*w - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9837\/4 = 2458?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 2*q**2 + q - 1. What are the prime factors of w(4)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -y**6\/5 - 13*y**4\/24 - 11*y**2. Find the second derivative of v(a) wrt a.\nAnswer: -144*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1021103 - 20200303?\nAnswer: -21222012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 8*j + 4*p - 4, -4 = 5*j - 4*p. Suppose 11*f + 18*f - 7*f = j. Factor f + 8\/15*k - 8\/15*k**2 + 2\/15*k**3.\nAnswer: 2*k*(k - 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 + -28.7. Put w, 5, 1\/4 in descending order.\nAnswer: 5, w, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 5)*(3 - 2 - 16)*(-5*v + 2*v**5 + 5*v).\nAnswer: -60*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -16*i**3 - 9*i**2 - 11*i + 39. List the prime factors of z(-8).\nAnswer: 3, 29, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 12.5 - 12. Let r = -4 + 3.9. Which is the third biggest value? (a) -0.4 (b) r (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1785 and 339745?\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -17*i**2 - 1. Let o(l) = 8*l**2 + 2*l + 2930. Calculate o(h(n)).\nAnswer: 2312*n**4 + 238*n**2 + 2936","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 1847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/33)\/(2\/24*-4). Let o = -15 - -11. Which is the biggest value? (a) 2\/7 (b) o (c) 0.5 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 11) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 138, 0.3, 2188, 0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 11, b: 3}. Give prob of picking 2 b.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14498.\nAnswer: 2, 11, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*o + 191 = 60. Suppose 4*a + 15 = -5. Sort o, -3, 1, a in decreasing order.\nAnswer: 1, o, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4361 + 1759 = 12*z. Does 17 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 5*c = 34635, -2*q + 0*c = 5*c - 13863. Let j(w) = 6924 + 2*w - q. Let r(s) = 7*s**2. Give j(r(o)).\nAnswer: 14*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -5497873.\nAnswer: 9\/5497873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 PM and 3:45 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uruuuufuaufkujjuuau. What is prob of sequence aj?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2193745 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*c - 1650 + 231 = 975 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*s**3 + s**3 + 17*s**3 - 9*s**3 - 323 to the form t*s**3 + b*s + a + n*s**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 31610.764 - 19087.16\nAnswer: 12523.604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -91\nAnswer: -8\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of u**6\/120 - u**5\/15 + u**4\/12 + 5*u**3\/6 + 104*u**2. What is b(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 35 = -5*s - 8, 0 = -5*s + i - 8 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192 - 197 = -5*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -23? (a) 0.02 (b) 0.5 (c) 1\/3 (d) -12 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c - 19. Let g be u(3). Let m = g + 25. What is the third smallest value in -12, m, -1\/6?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (-11 - (4 - 36) - -23)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -4*w**2 + 5255*w - 21120. Give f(4).\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - t + 10 = 0. Let h = 7 + t. Solve 2*y + 3*u - 5 = 6, h*u - 14 = 2*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 171621?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i + 3*g = 51, 1282 = 4*i + 3*g + 1245 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/227369, 1\/4, -5, 52, -2?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 235393613 and 12922?\nAnswer: 6461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -134*p - 3*p + 35*p - 140*p to h*p + y and give h.\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ugup when four letters picked without replacement from gmuxplgmpggxgglxgm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 541970392*x**2 - 18162314.\nAnswer: 1083940784*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -12*z**2. Let y(m) = -1. Let r(c) = -c + 1. Let i = -41 + -7. Let q be (-20)\/50 - (i\/(-10))\/(-2). Let n(s) = q*r(s) + 2*y(s). What is n(d(f))?\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**2 + r - 1. Let c(d) = 2*d**2 + d - 1. Suppose 2*u - 3*s = u + 16, 0 = -5*u - 2*s + 12. Suppose -u*l + 0 = -24. Calculate l*w(i) - 5*c(i).\nAnswer: 2*i**2 + i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + p + 5)*(-20*p + 7*p**2 + 20*p).\nAnswer: 7*p**3 - 7*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 8*q**2 - 5*q + 19. Is h(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - s - 1. Let u be 2*2 - (5 - 5). Let k(f) = -u - 13*f**2 - 3*f**3 - 4*f + 2*f**2 + 3*f**2 + 3*f**2. Give k(r) - 5*y(r).\nAnswer: -3*r**3 + r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112\/(-168)*3906\/(-4).\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(13\/2)\/g)**(-20) assuming g is positive.\nAnswer: g**(-110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-2) + (3 - (-532)\/(-248)). Which is smaller: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**2 - 6*l + 4. Let d be y(4). Let g = d + -8. Let o(f) = -f**2 + 2*f + 4. What is o(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1134068?\nAnswer: 2, 13, 113, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2208 and 416?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3, -81\/11, 0.166?\nAnswer: 0.166","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -83*x + 84*x - 264. What are the prime factors of x?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 765.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r + 4. Let l(b) = b**2 - 7*b + 15. Let w be l(6). Let t be k(w). Let u(n) = -n. Let i(h) = -3*h - 1. Let m(o) = i(o) - 5*u(o). Determine m(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from objboojtjoj. Give prob of sequence bjbo.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*p**4 - 300*p**3 + 5024*p**2 + 11280*p = 0. Calculate p.\nAnswer: -2, 0, 30, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -5*w**2 - 424*w + 2566. Give h(6).\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5516*k = -5517*k - 2*v - 11, v + 78 = -15*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 10, p: 2, u: 3, c: 3}. What is prob of sequence vpu?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**2 - s**2 + 5*s**2 + (-4 + 1 + 1)*(2*s**2 + 0*s**2 - 4*s**2) - s**2 + 2*s**2 - 3*s**2 + 11*s - 11*s + 2*s**2.\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43 - 46. Suppose 5*p = 256 - 91. What is the remainder when p is divided by 104\/78 - 23\/x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1*(sqrt(425)*1 - sqrt(425)) + -3*(sqrt(425) + 0))**2.\nAnswer: 3821","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i, 1 t, and 1 s when four letters picked without replacement from {c: 3, s: 2, i: 6, z: 1, t: 1}?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10595595 and 195.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of -23\/24*a**4 - 13*a**2 + 0 + 0*a + 3\/4*a**5 - 1\/3*a**3. What is the second derivative of p(i) wrt i?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 89 + -54?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -15 + (-2 - -9) + 3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*b**2 - b**2 - b**2)*(-3*b - 2*b + 6*b) + (71 - 3 + 23)*(-b**3 - 2 + 2) + 3*b**3 - b**3 + 0*b**3 to the form f + a*b**3 + w*b**2 + l*b and give a.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 267300 divided by 10692.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4*k**2 + k + 2. Give h(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 times 77890?\nAnswer: 5841750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five eighths of a day?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 0, 20*i = 4*q + 21*i - 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10434391*v**4 + 9*v**2 + 96899*v wrt v.\nAnswer: 250425384*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-39)\/7)\/(-39)*(-14)\/30?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from {k: 4, v: 16}.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -s**3 + 40*s**2 - 213*s + 306 = 0.\nAnswer: 3, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + 0. Let b = 7.00038 - y. Round b to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((-15)\/92)*(-16)\/((-5696)\/267).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 3180283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 74.648 + -0.148. Let j = -646.1 + 721.1. Let b = j - v. What is the fourth biggest value in b, 1, 0.1, 0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52\/(-130))\/((-352)\/55 + 7).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b**2 - 6*b - 3. Let u(k) = -k**3 + 4*k**2 - 7*k - 4. Calculate -5*n(r) + 4*u(r).\nAnswer: -4*r**3 + r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 5*v + 7. Suppose 5*l + 24 = d, -4*l = 13*d - 14*d + 22. Suppose d*i + 5 = 13*i. Give a(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000311282 to six dps.\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-353*m - 249 + 176*m + 179*m)*(-4 + 4 - 5*m + (1 - 1 - 3*m)*(3 + 2 - 3) + 2 - 2*m - 2) to the form n*m + d*m**2 + b and give n.\nAnswer: 3237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_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: Let w(a) = 48*a + 6. Let j(u) = 192*u + 26. What is -2*j(s) + 9*w(s)?\nAnswer: 48*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 411610 to the power of 1\/2, to the nearest integer?\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**3 - 5*l**2 - 4*l - 9. Let u(v) = -v**3 - v**2 - v + 1. Determine q(r) - 5*u(r).\nAnswer: 3*r**3 + r - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3646621, 3646623, 3646631, 3646645, 3646665?\nAnswer: 3646691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + 3. Let o = -7 - -28. Let v = -21 + o. Let x be g(v). What is the highest common divisor of x and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7970*a + 34 - 34 - 2082*a.\nAnswer: -10052*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*q**2 - 2*q**2 - 16*q**2 + 4*q**2.\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 t when four letters picked without replacement from {x: 8, i: 3, t: 5, r: 2, w: 2}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**(-2\/3)*m*m))**7\/(m**2\/(m\/(m**(2\/3)*m)*m)))**(-9\/7) assuming m is positive.\nAnswer: m**(99\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76224715?\nAnswer: 5, 7, 113, 19273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 - r - 2. Let c be (-2)\/(-1) - (7 + -3). Let f be y(c). What is the nearest to -0.2 in 1\/3, f, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 79247 and -15?\nAnswer: -1188705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -4. Suppose -i*o = -3 - 37. Find the second derivative of 5*y + 4*y**3 - o*y + 0*y**3 wrt y.\nAnswer: 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.58 to the nearest integer.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 5*u**2 + 2*u + 11. Let b(i) = i**2 - i + 1. Let h(r) = 6*b(r) - x(r). Let l be h(-2). Solve l = 5*a - 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14)\/(-21) - (-10)\/(-24). Is -31 >= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/56)\/(1542\/(-514))?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuhh when four letters picked without replacement from uurruhuhruuhur.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fiiifwiifwvfii. What is prob of sequence vi?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 13632*u - 1472255. What is s(108)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2101 + 1 + (-5 - -10 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3546 divided by 1420\nAnswer: -1773\/710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qa when two letters picked without replacement from {q: 1, v: 2, a: 2, p: 1, d: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 9. Let i = 2 + q. Let d = -0.2 - -0.4. Which is greater: d or i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -1. Let m(r) = 3*r + 47. Let v(a) = -m(a) + 4*w(a). Let s be v(-17). Solve -2*p + 4 = -s for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 g, and 1 s when three letters picked without replacement from {h: 1, w: 1, s: 5, g: 1, r: 4, u: 1}.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -14 - 0 - (42 + -52)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26)\/(sqrt(10)\/sqrt(5)) + (4*-1*sqrt(13))**2 - (5 + (5*sqrt(78)*1)\/sqrt(6))**2) + -4.\nAnswer: -49*sqrt(13) - 146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 3:47 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 30 = -5*c, -13*c = -9*c - 8. Let r be f - (-4 + 5) - 7. Factor 17\/2*v + r + 2*v**2.\nAnswer: (v + 4)*(4*v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 3 = -19. Suppose -i*q + q = -15. Let u = q - -41. List the prime factors of u.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 8 - (-5 - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -254654314 divided by -157?\nAnswer: 1622002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, v: 2, m: 2, p: 4, g: 2}. What is prob of sequence vpmg?\nAnswer: 4\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - (60\/(-3))\/2. Suppose 0 = -5*z + 2*u + t, 8 = z - 2*z - 2*u. Which is the smallest value? (a) 0.4 (b) z (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4*w = -20, -5*w + 3 = 3*v - 20. Suppose -2*t = -0*t + 2*f - 4, 3*t = f + 6. Calculate the remainder when (8\/v)\/(4\/6) is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 305 is divided by 128?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 115223743883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000076650193 rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 4*b + 5 = 0, -3*b + 7 = -5*i + 17 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -273*w - 3. Let p(x) = -2. Determine 2*h(z) - 2*p(z).\nAnswer: -546*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/6 (b) 2\/11 (c) -64827 (d) 3 (e) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - (-5 + 3)) + 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-5))\/((-11)\/1045). Let o = -35 - z. Suppose -o*p + 61 = 4. Round p to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - 7\/(7\/(-3)). Suppose 5*j + 2*p - 23 - 4 = 0, 2*j - 4*p - m = 0. Solve -4*z - j = -1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1266 - 1355 + 2*n - n.\nAnswer: n - 89","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.24, -63, -4, 6.\nAnswer: -63, -4, -0.24, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-1)\/z)\/(z\/(z*((z**(-2\/13)*z)\/z)\/z*z)))\/(z*z\/((z*z\/(z*z**(1\/3)*z*z))\/z*z))**(-2))**(-5) assuming z is positive.\nAnswer: z**(-1075\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*m + 9*m - 4 - 6*m - 14*m.\nAnswer: -51*m - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 3*v - 8)*(-2*v - v - v).\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 4:49 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 97668 and 420.\nAnswer: 3418380","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (186\/(-2387))\/((-1)\/(-11)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (25\/5)\/(20\/8). Determine r so that -2\/5*r**3 + 2\/5*r - 2\/5 + 2\/5*r**h = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 74 = 2*g + 7*w, 37 + 49 = -4*g - 17*w - 100 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011010011101101111 + -100?\nAnswer: -1011010011101110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-6)*p**(-3))**(-26))**(-3\/16) assuming p is positive.\nAnswer: p**(-351\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/3085292 and 37\/353395?\nAnswer: 354808580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -310 + -3\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10 + 2a?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -7. Suppose 0 = -2*v - 8, -5*a + 2*v = -1 - 2. Let u be (16\/(-28))\/(a*p). Do u and -0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t + 3*t + 0*t + (0 + 3 - 1)*(-t + 0*t - t) - 12 + 4 + 2 - 6*t + (-1 + 2*t + 1)*(-6 + 5 + 2).\nAnswer: -7*t - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309244 is divided by 76181.\nAnswer: 4520","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*o + 859 - 859 to the form l + r*o and give r.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 12 = 4*c, -p - 5 + 1 = -5*c. Let n(i) = -i**3 - 5*i**2 - 4*i + 3. Let g be n(p). Is 9 a factor of 5\/((-42)\/15 + g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -12 - q**3 - 557*q - 18*q**2 - 1 + 556*q. Let b be c(-18). Let u(f) = f**2 + f + 2. Let z be u(-2). Solve o = z - b for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -92\/15 and -46\/15635.\nAnswer: 46905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -105083 by 9.\nAnswer: -105083\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y + 15. Let f = -31 - -31. What are the prime factors of h(f)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 8*n**2 - 6*n + 7. Calculate x(-6).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 2*n - 270, -f - 2*n + 46 = -44. Let m = -80 + f. Let y be (m\/(-4))\/(2 - 40\/16). Solve 4 + 6 = -y*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**2 - 2. Let r(p) be the second derivative of -p**4\/12 + p**3\/6 - p**2 - 7*p + 24. Determine -3*j(l) + 4*r(l).\nAnswer: 2*l**2 + 4*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**5 + 2*q**5 + 2*q**5)*(2 - 1 + 1) + 2909*q**5 - 172290*q + 172290*q.\nAnswer: 2911*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a litre in millilitres?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -47 - ((-290)\/(-10) - 5). Sort -24, y, -4, 5, 2.\nAnswer: y, -24, -4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 10. Let a be m(0). Let i = 9 + a. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6646*i**3*p**2 - 2*i**3 - 2*i**2*p - i*p**2 + 7166 wrt i?\nAnswer: -39876*p**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72281 is divided by 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**2 + 146 - w**2 + 46 - 236 + 2*w**2 - 320.\nAnswer: -2*w**2 - 364","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of w**4\/12 - w + 36. Let i(y) = -126*y. Give s(i(u)).\nAnswer: 15876*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*m**6 + m**5 - m**5 + 0*m**5 - m**2 wrt m.\nAnswer: -960*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -2. Suppose -3 = o*l - 9. Solve 0 = i - l - 2 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -9?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccccccffc. Give prob of sequence cccc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 7:56 AM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 3*c = 308. Let g = c + -50. Let m be (g\/(-9))\/(160\/84 + -2). Let i(f) = f**3 + 7*f**2 - 2. Give i(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1332 is divided by 267?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eleven tenths of a week?\nAnswer: 11088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 103, 239, 441, 715, 1067?\nAnswer: 1503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000001388 rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) 36.095 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 84*h - 166. Let q be k(2). Solve -6*g - 8 = -q for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 170 + -165. What is the third derivative of -15*y**2 + 4*y**2 + 1453*y**5 - 1 - 1679*y**j wrt y?\nAnswer: -13560*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 1248281?\nAnswer: 374484.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4140?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -378*l - 199*l - 404*l - 12420 = -153*l for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1929 + 1928.9. Let j be (1\/8)\/(1\/(-2)). Is g less than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5820 or -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 t when two letters picked without replacement from cutcmnunmcca?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r**2 + 1. Let k be c(-1). Suppose -2*u + u + 1 = 0. Let h = 1 - u. Solve h*y = -k*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u, 1 d, and 1 t when four letters picked without replacement from {d: 6, p: 1, o: 2, i: 1, t: 1, u: 5}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*o**3 - 982*o**2 + o - 1026 wrt o?\nAnswer: -48*o - 1964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16393788 is divided by 315265?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x - 16. Let p be t(-16). Let o(a) = -a**2 - 2*a + 2. Let z be o(p). Solve -z*f = 2*i, 4*i - 3*f - 18 = 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9b576 (base 14) to base 11.\nAnswer: 238289","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*y + 34*y = 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -445424141 (base 6) in base 4?\nAnswer: -132323001331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 10100101010?\nAnswer: 10100101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 11:44 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 5*h**2 - 6*h - 25. Let k be t(-3). Let j be 19\/k*2\/4. Which is the closest to 2\/3? (a) j (b) 0 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -66*w - 2318. What is v(-35)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o**2 + o - o**2 + o**2)*(-57 + 93 - 56) as v*o**2 + u + m*o and give m.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**4 - 5*y**2 + y + 5. Let d(r) = -3*r**2 + r + 3. Let s(u) = 5*d(u) - 3*w(u). Find the second derivative of s(j) wrt j.\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 271 divide 1613224789?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that d**5 + 3*d**4 - 3*d**3 - 11*d**2 - 6*d = 0.\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 1302.\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.31 + -11.69. Let q = a + 12.1. Let h = -4 - -3.7. What is the nearest to -1 in h, 1, q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3 + (sqrt(112) - sqrt(112)*1) - sqrt(112)).\nAnswer: -6 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 7*o**2 - 6*o + 5. Suppose 3*v + 5*f - 23 = 0, 2*v + f = -4*f + 17. Let g be a(v). Calculate the greatest common divisor of g and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293 is divided by 84.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 9*r**2 + 4*r + 4. What is the remainder when 63 is divided by w(-2)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 592 + -587. Solve -q = -n*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/2)\/((-2)\/(-8)). Let t(h) = -5*h**3 - 5 + 2*h + h**3 + 2 - 3*h**2 + 5. Let s be t(-1). Put s, o, -3 in decreasing order.\nAnswer: s, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20838631 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) + (sqrt(119)*-1*6 - sqrt(119)))\/((sqrt(189)\/sqrt(3))\/sqrt(9)).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, m: 1, l: 2, n: 2, s: 10, j: 2}. Give prob of sequence mz.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j**2 + 17*j + 4. Let a be p(-5). Calculate the remainder when a - -2 - (0 + (-416)\/4) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 249499714.\nAnswer: 2, 97, 1286081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(3\/5)*z*z**2*z)**(-34\/9))**3)**(7\/3) assuming z is positive.\nAnswer: z**(-5474\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -49.49 in 2, -5, 6, -4, 2\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 12*q - 134. Let a be w(11). Let u be (-160)\/(-60) - (2\/3)\/a. Solve 14 = -m - u*s, 5*m - 6 = s + 3*s for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 602534 * 2.1\nAnswer: 1265321.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -3. Let m = 1.06 + -0.06. Let l = -0.026 + 0.426. What is the nearest to j in 2\/7, l, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -4*b**3 - b. Let l(x) = -9*x**3 - 2*x. Let i(m) = -m**3 - 8*m**2 + 2*m + 11. Let q be i(-8). Suppose -8*y + 5*y = -6. Give q*d(w) + y*l(w).\nAnswer: 2*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2317?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58567.\nAnswer: 58567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 303312 (base 7) to base 2\nAnswer: 1100100110010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5204*h**2 - 2*h + 15 - 5201*h**2 - h**3 + h to the form c*h + y + a*h**2 + b*h**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-6)*(-624)\/182\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-5797)\/51*12\/(-4) is divided by 86.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.88 + -12.38. Let u = 11.7 + v. What is the closest to u in 3\/2, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16431*a**4 + 731*a**3 - 14*a**2 + 2*a + 670401.\nAnswer: 394344*a + 4386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*q**2 + 31*q**2 - 64*q**2.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from htjjtjtjjn?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/3 + 98\/6. Suppose -3*h - 2*z + 13 = 0, -3*h + 0*z - 4*z = -17. Solve 0 = -5*k - 4*b + 31, -k = -h*b - 2*b + i for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p - 9. Let x(i) = 22 - 7*i - 3*i - i - 13*i + 18*i. Let r(c) = 5*l(c) + 2*x(c). Determine r(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7653, 14606, 21577, 28572, 35597, 42658, 49761, 56912?\nAnswer: 64117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 17\/2 of a centimeter?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -2) + -1 + (2 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 133 and 7220.\nAnswer: 50540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/4*2*2. Let z = 2.2 + -17.2. Let x = z + 20. What is the third smallest value in a, x, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-19) - (-672)\/114. Suppose 0 = 5*o + 3*p - n*p - 5055, -4*o - 2*p + 4022 = 0. What is the hundreds digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -691773 greater than -691772?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -6*t + 5625. Calculate the remainder when t\/(-150)*(1 - 11\/3) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1041 + 1047. Sort -1, -5, 4, f in descending order.\nAnswer: f, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11785*a**4*l**3 + 2*l**3 + 237*l - 3 wrt a.\nAnswer: -47140*a**3*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -41*r + 41*r + 15*r**5 + (0*r + 0*r - r)*(171*r**4 + 24*r**3 - 346*r**4 + 174*r**4).\nAnswer: 16*r**5 - 24*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of -b**3\/6 + b**2\/2 + 20*b. Let r be k(1). Let s = 7\/34 - -5\/306. What is the second smallest value in r, 1\/5, s?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 5, -4*w + w = 4*r - 47. Suppose r*t - 3*t = 80. Suppose -51*b - 24 = -52*b. Calculate the highest common factor of t and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -854*i**2 + 0 + 855*i**2 - 1. Let j be f(2). Solve -j*y + 3 = -6*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2910061 and 308.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10140132 divided by 2535033?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -164 less than or equal to -165?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2814 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-6))\/(3\/(-63)). Let u(a) = -a**3 + 6*a**2 + 9*a - 7. Let m be u(y). Suppose 3*v - 4*v = -77. What is the greatest common factor of v and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3238)\/(-165)*63\/28. Let s = -283\/10 + 149\/2. Let z = d - s. Find the common denominator of -15\/14 and z.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 4*z - 747, 2*t + 3*z - 497 = -0*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4\/7 + 6472*d**3\/7 + 7853772*d**2\/7 + 4235801032*d\/7 + 856690758722\/7.\nAnswer: 2*(d + 809)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 495146941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*-3*(-2)\/(-12)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -55*o**2 + 4*o - 1. Let r be b(-1). Let w = 477\/8 + r. Let a(d) = 2*d. Let i be a(-2). Put w, 3, i in descending order.\nAnswer: 3, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4965406\/561 - -8851. What is the common denominator of x and -197\/510?\nAnswer: 5610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 n when three letters picked without replacement from nuirmyum?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5b8 - 676?\nAnswer: -7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-3\/4)\/v)\/(v\/(v*v\/(v\/(v\/(v*v\/(v\/v**(-3\/4))*v))))))\/(v**0)**(-14\/5) assuming v is positive.\nAnswer: v**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20291 and 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 866 or 864?\nAnswer: 864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n. Let m(i) = 2*i - 6*i + 3*i + 4*i. Give m(k(z)).\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.7 + 466.88. Round b to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((6*sqrt(605)*2 + sqrt(605) - sqrt(605) - sqrt(605)) + sqrt(605)) - 1*(sqrt(35)\/(sqrt(7)*2) + sqrt(20)\/sqrt(36)))**2.\nAnswer: 12466205\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 52291 and 52290 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 3\/2*k**2 - 9\/4*k + 3\/4*k**3 + 0 = 0. What is k?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 31 + 10*q - 31 + (1 - 3 + 3)*(2*q + 1 - 1).\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3049440 and 225?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 5. Let s = t - -3. Suppose -p + s*o = -4*p + 92, -4*p - 2*o + 126 = 0. Is p a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/32)\/(1\/(-4)). Let g be (-16)\/(-16) - 41\/42. Does g = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -74577 * 5\nAnswer: -372885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t + t**2 + 0*t - 27 + 7 + 10*t. List the prime factors of y(-15).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (21 + -1)*(-2)\/(-2). Suppose -3*m + p = 2*m. Suppose -m - 8 = -4*d. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5815114 is divided by 2327?\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -875*m = -1909 + 18200 + 13964 - 5755 for m.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 48, 100, 168, 252, 352, 468?\nAnswer: 600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 25 = -2*r, 2*d - 50 = -2*r - 0*d. Let i(j) = -26*j - r*j - 32 + 51*j. What is the tens digit of i(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 9*h + 25. Let w be d(-3). Suppose -3*j = 4*n - 2 - 18, -20 = 4*j - 4*n. Sort 4, w, j in descending order.\nAnswer: 4, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-54)\/(-6) + 1\/1. Solve -5*y + r = z - 3, z - 4 = -2*y for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 916 and 71156?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19429\/6 - -3238. Let p = 4 + -6. What is the third smallest value in p, -0.05, i?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fvfzzvfkzfvvvvk. What is prob of picking 1 v and 1 z?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108 - 9491*w - 1124 + 9492*w.\nAnswer: w - 1016","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 - -23. Let w be (i - 28\/(-8))*-10. Sort -6, w, -3 in increasing order.\nAnswer: -6, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 30*i**2 - 63*i + 4. Determine y(5).\nAnswer: 439","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 18*k**2 + 16*k + 19. Let r be c(17). What is the second derivative of -2*q - q + 4*q**r - q + 2*q**2 wrt q?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 0, -353 in decreasing order.\nAnswer: 5, 0, -5, -353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 2*h - 355. Suppose 3*f + 3*z - 2*z = h, -4*f + 96 = z. Calculate the remainder when f is divided by (-2)\/6 + 84\/9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*b + 68504 = -50*b - 51*b. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -1\/3*h**3 + 0 + 1\/2*h**2 - 5\/6*h**4 + 89*h. Suppose 0 = -3*w + 4*i - 3 - 10, 2*w + 6 = 2*i. Give n(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -5. Let q = -0.38 + -3.12. Let t = 3.7 + q. What is the nearest to t in z, -0.2, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/48 and 61\/18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -4. Let m be 3*(19*b + 0). Calculate the greatest common divisor of 19 and m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 8*v - 12*v + 21 = 0, -c - 5*v + 26 = 0. Let x be 111\/(-9) + 4\/(-6). Let w = -8 - x. What is the least common multiple of c and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**2 - 69*b - 217. Let v be q(-31). Put 9, 2, -2, -3, v in descending order.\nAnswer: 9, 2, v, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 4. Let x = z - -7.2. Suppose -2*i - 12 = -0*w + 2*w, -4*i - 16 = 2*w. What is the second smallest value in x, i, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8 (b) 4 (c) 814 (d) -2 (e) 0.14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 985710 and 2610.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 21797434 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -p**7\/15 + 5*p**4\/8 + p**2\/2 + 15*p. Let n(i) be the first derivative of r(i). What is the second derivative of n(m) wrt m?\nAnswer: -168*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 10:35 PM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2700 divided by 900?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52334?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tukj when four letters picked without replacement from ttkttjttujttt?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2.227236 centuries?\nAnswer: 2672.6832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + -5 + 4 - 6. Let f(c) be the second derivative of -c**3\/6 - c. List the prime factors of f(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 201811 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(4\/9)*a**(-1\/10)*(a*a**(2\/9))\/a**7)**(-2\/25) assuming a is positive.\nAnswer: a**(163\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*a + 1780 - 324 = -121*a + 83*a for a.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4*p**2. Let l(d) be the first derivative of 8*d**3\/3 - 386. Calculate l(h(w)).\nAnswer: 128*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 575 is divided by 96?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + h + 4, -3*h + 64 = -1089*m + 1085*m. Suppose 4*u + 0*u - 28 = 0. Put m, u, -1, 3 in decreasing order.\nAnswer: u, 3, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -1821890\nAnswer: -182189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8630, 23220, 62820, 139934, 267066, 456720, 721400?\n\"Answer: 2084*c**3 + c**2 - c + 6546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.449, 1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2928\/(-120) + 2\/5. Sort -0.3, h, 3\/5 in ascending order.\nAnswer: h, -0.3, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or 15?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*q**3 - 3*q + 3*q + 17*q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 8) to base 12\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 692429*n. Let y(f) = -f**2. Determine p(y(c)).\nAnswer: -692429*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 420 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 4:20 PM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-30))\/(-4)*-3\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + (12 - 1) + (7 - 2) + -8.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 2:15 AM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 1.401 and -10\/31 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -101000111000000 (base 2) in base 9?\nAnswer: -31633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81879604?\nAnswer: 2, 701, 29201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 7*v**2 + 23*v + 17. Let k be (2\/5)\/(9\/225). Let g be m(k). Calculate the common denominator of (-21)\/(-14)*g*2\/36 and -99\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f**(-2\/13)*f*f)\/f))\/f*f**(4\/7)\/f*f)\/((f\/f**(-3\/5))\/f)**(-34) assuming f is positive.\nAnswer: f**(9157\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3*g. Suppose 0 = 6*j - 6 - 6. Let h(t) = -16 + 16 - 11*t**j - 4*t**2. Give h(n(s)).\nAnswer: -135*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9329 and 4798052.\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 9*y**2 - 6*y - 149. Give f(5).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millennium in centuries?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-90)\/50 - -1)*(-75)\/1410. Which is smaller: -4.04 or h?\nAnswer: -4.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3356.3 - 2281.3. Sort -0.5, o, 6\/7.\nAnswer: -0.5, 6\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - 3*p + 3. Let x be a(-6). Let n be 10\/(-2)*18\/x. Let f(r) = 1 + 5 - n - r. Let s(h) = -h. What is f(s(l))?\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/sqrt(8) + 3 + (sqrt(7) - (-4 + sqrt(42)\/sqrt(6))))**2.\nAnswer: 14*sqrt(7) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttttjjttjtjtjt. Give prob of picking 2 j.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 200.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15 and 13.\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 10 = -3*y. Let x = -2.6 - -0.6. What is the nearest to 2\/5 in x, y, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -495.99731 - -496. Round a to four dps.\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 45205.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 5*x - 230, 0 = 2*c - 3*c - 2*x + 48. Calculate the remainder when (c\/154)\/((-2)\/(-2086)) is divided by 101.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 272279.8408 to the nearest ten.\nAnswer: 272280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/15 + (1 - 0). Let m(l) = l**2 + 6*l - 1. Let q be m(-6). Let o = 42 + -40. Which is the nearest to -2? (a) s (b) q (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 12:13 AM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1924.729nm?\nAnswer: 1.924729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28576745951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.1, -19, 2141, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*o + 117*o + 105*o)*((-o**2 + 1 - 1)*(4*o - 2*o - o) - 4*o**3 - 21 + 21).\nAnswer: -1235*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32184823 and 33.\nAnswer: 96554469","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 100000111011111010111 (base 2) to base 14\nAnswer: 201459","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 61 = -x + 2*r, 0 = -r - 1. Let g = x - -28. Let m = g + -39. Is m a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(104) - sqrt(104)*2) - 6*sqrt(104)*2)*6)\/(sqrt(40)\/sqrt(125) - sqrt(48)\/sqrt(24)).\nAnswer: 200*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) 0.4 (b) 0 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -2*g + 56. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 6*c + 1. Let n be 1 - (-1)\/((-3)\/(-12)). Suppose 0 = n*i - 3*i, -y - i = 4. Determine f(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7\/8 of a second?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -9*f**4 + 6*f**2 + 6*f - 8. Let v(y) = 19*y**4 - 13*y**2 - 13*y + 16. Let u(l) = 13*p(l) + 6*v(l). What is the derivative of u(c) wrt c?\nAnswer: -12*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**14)**46)**(-42) assuming h is positive.\nAnswer: h**(-27048)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 101 + -53. What is the second derivative of f**4 + f**4 - l*f - 2*f**3 + 71*f wrt f?\nAnswer: 24*f**2 - 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3030610938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v - 1. Suppose -7*y = -0*y. Let z be k(y). Let s be (-2 - -3) + z + 6. Solve -15 = -s*f + f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 7*h**2 + 3*h + 5. Let c be t(-2). Let q be c\/6*56\/6. What is the greatest common factor of 6 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1008786 and 1368.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 1:57 AM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 - 1803*h**2 - 1812*h + 3612.\nAnswer: 3*(h - 602)*(h - 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 163 = -3*m + 194, 5*k - 365 = -3*m. List the prime factors of m.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 7:25 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2233209.\nAnswer: 3, 11, 31, 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46 + -25. Let a be (-1 - 1) + m + -14. Solve -5*i + b = -3*b + 36, -2*b - 12 = a*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a - 9. Let c be o(11). Suppose c*z = 5*z - 9. Solve 2 = 2*h - z*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17934 is divided by 1414?\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/64587402 and 149\/652398.\nAnswer: 64587402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -0.5, 1\/2, -106, -2.9, 13, 5, 3\/7?\nAnswer: -106","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80797 is divided by 356?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/5 + (-4)\/10. Suppose k - h + 11 = 2*k, -5*k = -4*h - 28. Let y be 27\/(-396) + 2\/k. Is y smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -8. Let q be ((-1)\/u)\/((-4)\/(-8)). Factor 1\/3*g - q*g**3 + 1\/3*g**2 - 1\/3.\nAnswer: -(g - 1)**2*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-6.763708.\nAnswer: 0.6763708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c**2 + 22*c - 34. Let w(k) = 2*k**2 + 15*k - 23. Let s(r) = 5*f(r) - 7*w(r). Let y be s(-12). Suppose -y = -6*a + 3*a. Is 26 bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11988*p - 23939*p + 342*p**3 - 338*p**3 + 11951*p.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -9*p**2 + 51*p - 6. Let d be c(14). Let w be 6\/(-45) + d\/(-1170). Factor -6\/13*l**3 - w*l**2 + 0 + 2\/13*l**5 - 4\/13*l + 2\/13*l**4.\nAnswer: 2*l*(l - 2)*(l + 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**0\/r)**28*(r**(-5)*r)\/(r*r**(-1)))**(-3\/7))**(-38) assuming r is positive.\nAnswer: r**(-3648\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -10*z + 1. Suppose 0 = 2*f - 4*c - 6, -1 = 4*c + 3. Calculate h(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*s + 119*s = 369. Let t = 28 + 40. Suppose -d - t = -3*d. What is the remainder when d is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 4:34 PM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39 and 208.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**3 - 6*k**2 + 7*k + 1. Let n(j) = -j**3 - j**2 + j + 1. Let q(d) = 3*n(d) - p(d). Calculate q(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 9. Suppose d*g = 5*t, 4*g - 5*t = -0*g - 2. Find the third derivative of 3*m**4 - m**4 + 5*m**2 + m**g wrt m.\nAnswer: 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16\/10 - (0 - -2). Let w = -0.29 + -0.01. Let h = w + 0.4. Which is the second smallest value? (a) h (b) 0 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/16 and (-2)\/4*111\/30.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 3, 28, -3, -2 in ascending order.\nAnswer: -7, -3, -2, 3, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2864183*-24.\nAnswer: -68740392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of 7*s**5\/60 - 19*s**4\/8 + 7*s**3\/6 + 165*s**2. Is o(-13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 80 - 80.5. Let n = k + -5.5. Which is the closest to 1? (a) -2\/5 (b) 3\/7 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/60 and -17\/200.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/6 + 123912616*m\/3 + 7677168201981728\/3.\nAnswer: (m + 123912616)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of 2*h**3\/33 - 26*h**2\/11 - 2062. Find t, given that k(t) = 0.\nAnswer: 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-8)\/p**11*(p**6)**(-2\/73) assuming p is positive.\nAnswer: p**(-1399\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 168948?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2*z**5 - 8*z**4 - 12*z**3 + 8*z**2 + 10*z = 0.\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -2*g + 14. Suppose -4*j = -3*k + 2109, -g*k - j + 2831 = 2*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -354 + 354 + 5*s**2 + 52*s**2 in the form g + i*s + z*s**2 and give z.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 215*a**3\/11 - 18923*a**2\/11 + 37864*a - 528 = 0. Calculate a.\nAnswer: 3\/215, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/99 (b) -3 (c) 80172\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + r - 1337 = -1347, -4 = r for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1779446 or 23132792\/13?\nAnswer: 23132792\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/1)\/(-3)*11\/(-11)*7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12 + -14b?\nAnswer: -15d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10272 + 102829\/10. Find the common denominator of z and (2\/12)\/(0 - 2).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-three sixths of a week?\nAnswer: 38640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of 5*c**2\/2 - 23*c - 3. Let k be a(8). Solve 3*h - 23 = 2*m - 0*h, -2*m = 5*h - k for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 1 = -k - 18, -5*g - 2*k = 14. Let r be 3\/(-1 - g) + -5. Let l(a) = -a**2 - 3*a + 2. Give l(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 10:15 PM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(108) + -2 - sqrt(33)\/(sqrt(11)*-3))*-2.\nAnswer: -38*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36.4 + 32. Let x = 4.1 + f. What is the smallest value in 1, 4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -45080.67 to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + 3*v. Suppose -z = 2*k + 2*k + 4, -k + z = 6. Let f = 0 + k. Let r(p) = p - 1. Determine f*r(j) + d(j).\nAnswer: -j**2 + j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c, -4*c = 5*b + 24 + 141. Let v = b + 64. What are the prime factors of v?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 92 times 687\nAnswer: 63204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 15. Let m = k - 0.08. Let x = m + 0.0814. What is x rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -17*b**3 + 2*b**2 + 2*b + 1. Let z(p) = 14*p**2 + p + 1. Let t be z(-1). Let c be t\/(-10) + 8\/20. What is the remainder when 70 is divided by w(c)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -60447 and 2016?\nAnswer: 62463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.16? (a) -36 (b) -0.2 (c) 0.2 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -y - 6, y + 18 = 3*d + 4*y. Let b(i) = i**2 + 3*i**2 + 9*i - 3 - i**d - 4*i**2. Determine b(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 10:47 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p**3 + 75*p**2 + 25*p - 101. List the prime factors of i(-36).\nAnswer: 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -1092*z**2 - 15*z + 9. Let t(v) = -1636*v**2 - 24*v + 14. Determine 8*s(g) - 5*t(g).\nAnswer: -556*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -2*t + y, 0 = 2*t + 5*y - 5 + 2. Suppose 5*i - 195 = -5*x, 5*i + 4 = -6. Suppose 16 = -5*d + x. What is the remainder when t is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -74 by -37.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53451 is divided by 732.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.44 - -0.43999999. Round h to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-14)\/(-21))\/((-16)\/(-1272)). What is the highest common divisor of d and 265?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 584*o**2. Let s(n) = 11*n**2 - 18. Let b(y) = 9*y**2 - 15. Let c(r) = -6*b(r) + 5*s(r). Determine w(c(m)).\nAnswer: 584*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11428 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 7*m**2 - 2*m - 1. Calculate the remainder when h(-2) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1322 divided by -661.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l - 3. Let g(y) be the second derivative of -y**3\/6 - y**2\/2 + 2*y. What is 3*g(z) - p(z)?\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 4*s - 6. Let v(p) = 1. Let w be (4\/4 - 10) + (23 - 19). Give w*v(z) - h(z).\nAnswer: -4*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 104104607 a multiple of 1425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -2356.995, -1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18243 + -547411\/30. Calculate the common denominator of 7\/12 and d.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/256 and 7\/320.\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 334*u - 180 = 332*u. List the prime factors of u.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -5*l - 40, -2*m = -6*m - 20. Let c(w) = w. Determine c(l).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*i + 5 = 33*i. Which is greater: i or -2\/177?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16422)\/(-294) + -7*(-160)\/980?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4078288145 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.27 * -2.\nAnswer: -0.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 753043306 or 753043304?\nAnswer: 753043306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1213722 divided by 1?\nAnswer: 1213722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-4) + (-13)\/4. Let j(r) = -r**3 - 5*r**2 - 4*r + 5. Let p be j(d). What is the greatest common factor of 5 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of 5 + 4*t - 2*t**2 - 1\/3*t**3. Calculate a(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -9*d + d + d. Suppose -3*x + 7*x = -8. Calculate the smallest common multiple of 18 and a(x).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2337, 4243, 6125, 7977, 9793, 11567?\n\"Answer: -j**3 - 6*j**2 + 1931*j + 413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2565989?\nAnswer: 2565989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*5)\/(813\/542)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 59 + -31. Calculate the remainder when (-3161)\/(-87)*(0 + 3) is divided by i.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**2 - 948. Let o(a) = a. Let q(v) = -9*v. Let n(j) = 8*o(j) + q(j). Give r(n(x)).\nAnswer: -2*x**2 - 948","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 15181 - 1701. What are the prime factors of i?\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170445 is divided by 487?\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14.7 - -6.8. Let p = 8 + u. Let x = 0.04 - 0.34. Which is the smallest value? (a) p (b) x (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u - 6*u = -12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (924\/27)\/(-1) - 12\/(-54). Sort 5, -1, k in increasing order.\nAnswer: k, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/2 bigger than -69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*n - 6*n - 15*n - 13*n.\nAnswer: 14*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-4)\/12*4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 7 * 76\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 113?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 104, 163, 176, 137, 40, -121, -352, -659?\n\"Answer: -u**3 - 17*u**2 + 117*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*j - 87*j - 91*j = -60 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (32934 + 3 + -7)*7\/14?\nAnswer: 5, 37, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-6)*2 + (-136)\/(-12). Let s(i) = i**3 - 12*i**2 + 11*i - 22. Let f be s(n). Sort -1, 1, f.\nAnswer: f, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 6800 = 8*s. Is 25 a factor of (s\/(-3))\/((-3)\/9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1334, 1946, 2546, 3128, 3686?\n\"Answer: -y**3 + 619*y + 716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 w when three letters picked without replacement from {o: 1, w: 3, l: 1, x: 3, c: 1, k: 1}.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Is 637366 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1485 and 2035?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195*v**3\/8 + 243*v**2 + 1695*v\/8 - 27\/4 = 0. Calculate v.\nAnswer: -9, -1, 2\/65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4491 and 862272.\nAnswer: 862272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 10, f: 2, y: 6, k: 2}. Give prob of picking 1 k, 1 h, and 2 f.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-268)\/2 + (4359 - 4309)?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(68)*-2*5)\/((-1*sqrt(12))\/sqrt(3)) - (-6*sqrt(2448)*2*5*-2)**2.\nAnswer: -35251197 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 20*n**3 + 10*n**2 - 103*n + 573. What are the prime factors of g(6)?\nAnswer: 3, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1930\/(-280)*-7 + (-2)\/8 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(153) - (sqrt(153) - (sqrt(153) + (sqrt(153) - 5*sqrt(153)*1) + sqrt(153) + sqrt(153)))) + sqrt(153))*-4*-5)\/(-2*sqrt(81)\/(sqrt(576)*-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s + 6. Suppose -j = -0*j - 3. Suppose -j*d + 12 = -3, t = -4*d + 24. What is the lowest common multiple of t and w(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*y - 89*y + 27*y = -934668. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1495\/26)\/(-23))\/((-275)\/55)*50\/4?\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1094060816\/791 - -1383136. Let q = n - -2\/113. Suppose 0 - 2 = -r. What is the third biggest value in r, -3\/4, q?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190 = 2*b + 6*q, 346*b - 4*q = 351*b - 145 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Solve 437 = -22*s + 10*s + 643 - 386 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0436 to three decimal places.\nAnswer: -0.044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*x = -58*x - 2. Sort x, 12, 2, -1.\nAnswer: x, -1, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/14*-1)\/((-197)\/5122)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 3:52 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1108041311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -7*i**3 + 183*i**2 - 30*i + 81. Determine q(26).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2075.41 + 2123. Let r = h + -48. Round r to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -41\/96?\nAnswer: -41\/96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 x when three letters picked without replacement from wfxwwwkk?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 79*f. Let g(x) = 7015*x**2 + 18. Give g(n(r)).\nAnswer: 43780615*r**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -37? (a) 12 (b) 1 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 9:47 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 9:42 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**2 + 5*n + 1. Let t(a) be the first derivative of 2*a**3 + 1 + 0*a**3 + 4*a - 3*a + 2*a + 7*a**2. Let u = -31 + 48. Determine u*o(z) - 6*t(z).\nAnswer: -2*z**2 + z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2022 - 20210?\nAnswer: -100002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/(-22) + (-1096)\/(-22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + 3*x + 1. Let d be a(-8). Let o = d - 23. Suppose -51 + o = -m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5328 + -5235. Sort -0.2, -2\/3, i in decreasing order.\nAnswer: i, -0.2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10922 and 688?\nAnswer: 87376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39 - -41. Suppose -4*y + 5*y + f = -i, 2*y - f - 8 = 0. Solve -y*k + 20 = -6*k, 4*k = -4*p - 24 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -60\/589?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -35.18955 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.6844369 to four decimal places.\nAnswer: 0.6844","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 1.97. Let j = t - 4.03. Let o = 0.0459 - 5.0459. Which is the closest to 2? (a) j (b) -7 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-783)\/609*7\/(-3)*80\/12.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 5*l + 2*l)*(l - 2*l**3 - l) - 5*l**4 + 61 - 61 - 6*l**4 - 2*l**2 + 2*l**2.\nAnswer: -7*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*k - 97*k - 89*k + 16*k + (-2*k + 2*k - 3*k)*(-2 - 2 + 2) - 4*k - k + 3*k to t + p*k and give p.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 376 is divided by 133.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -240331 (base 6) to base 16.\nAnswer: -517f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 3*x - 6, 3*x - 3 = -3*m - x. What is the second derivative of 4*n + 64*n + 5*n - 6*n**m + n**5 wrt n?\nAnswer: -100*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -107 divided by -1\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 3, 1511 in decreasing order.\nAnswer: 1511, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 749275?\nAnswer: -749275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -u**2\/2 - 3*u + 29. Let t be a(-6). Solve 2*g + 11 = t for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.4 - 1.1. Sort x, 2\/9, 0 in ascending order.\nAnswer: 0, 2\/9, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17591.5 + -17592. Let n = -39.17 - -39. What is the biggest value in x, n, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 9*l**2 - 5*l - 8. Suppose 4*q = -5 + 37. What is the remainder when 31 is divided by m(q)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jbbbbibijj. What is prob of sequence jbj?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/162)\/((-165)\/198)\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0416 - -2?\nAnswer: 3.0416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5169 = 2*k - 5*k. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -37.83605815 to one decimal place.\nAnswer: -37.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a\/a**(-3))\/a)\/a**(3\/19)*(a**14*a*a*a)\/a**(-2\/7))**(2\/27) assuming a is positive.\nAnswer: a**(5620\/3591)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4172*h**2 - 72*h**3 - 2*h + 4178*h**2 + 2*h.\nAnswer: -72*h**3 + 6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -340 times -951?\nAnswer: 323340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -194565 by 38913.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31725.\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.76, -5\/2, -2\/13, 0.3?\nAnswer: 0.76","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 19 + (8 - 16) - 54 - (2 + 4)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (53 - -1)*18\/(-27). Let x = s + 70. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 8 - 2 = 0. Suppose -4*s + l*s = -5. Suppose 2*h - 133 = -s*y, -h + 4*y = h - 88. Is h a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3574 + -2885. Calculate the remainder when g is divided by 161.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.01239 or 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 339850*g**2*j**2 + 58*g**2*j + 3*g**2 + 2*g*j**2 + 2*g*j + 2*g + j**2 + 525 wrt j?\nAnswer: 679700*g**2 + 4*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/15)\/d*d*d**(-1)\/d*d**7*d*d**(-5)\/d*(d**2*d)**45\/(d\/(d*d\/d**(-5))*d*d*d*d**(-3\/2)*d) assuming d is positive.\nAnswer: d**(4159\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.70267028 rounded to 2 decimal places?\nAnswer: -17.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -3*b**2. Let o(s) be the third derivative of -s**4\/12 - 12*s**2. Give o(m(u)).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2571.8 - -2572. Let k = -2.3 + 2. What is the smallest value in 5, g, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 15*m**2 + 15*m + 4. Let a(z) = z**3 - z**2 - z. Suppose -n + 2*j - 11 = 0, 5*j + 2 = 2*n + 28. Let l(q) = n*a(q) - f(q). Factor l(y).\nAnswer: -4*(y + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5840890 (base 10) to base 12.\nAnswer: -1b5818a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4523242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 440623 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 559403 to the power of 1\/3, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45046 and 19717018?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of -d**4\/24 - d**2. Let c(h) = 11*h - 3. Let x(k) = 124*k + 59*k - 127*k - 16. Let b(s) = -16*c(s) + 3*x(s). Calculate j(b(v)).\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -27973\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 90501449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.019379 to 3 decimal places.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6394*y + 9*y**3 - 7*y**4 - 118683 + 59341 + 59344 + 24*y**2 wrt y?\nAnswer: -84*y**2 + 54*y + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/4 (b) -7 (c) 1\/2 (d) 8 (e) -4\/3 (f) 243 (g) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -0*u + u - 820, -5*u = -2*c + 355. Let t = c + 85. Let h = 38 - -62. What is the greatest common divisor of h and t?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 8*a - 4*a + n, -2*a = -4*n - 14. Let l = -3 - -1. Put a, l, 1\/2 in decreasing order.\nAnswer: a, 1\/2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 10*u**2 - 11*u - 9. What is d(11)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 3*c + 3 + ((-c + 0*c + 2*c)*(-3 + 1 + 0) - c - 2*c - 3*c)*(4 - 3 + 0) to v*c + g and give v.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 309 = -2*y. Suppose 43*j - 2090 = 189. Calculate the remainder when y is divided by j.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2. Suppose -p = 3*p. Let w(b) be the second derivative of 1\/12*b**4 + p*b**3 + 0 + 0*b**2 - 3*b. What is w(n(d))?\nAnswer: d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2\/(14\/3577) + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p - 3*p + 3*p - 6*p - p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and -2057343691941?\nAnswer: 2057343691940.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 29450*a**2*b + 37186*a**2 + 110*a*b + 51*a - 2*b wrt b?\nAnswer: 29450*a**2 + 110*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2312 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -480 + 480. Let d(x) be the second derivative of -x**3 + 0 + 5*x + 0*x**2 + b*x**5 + 0*x**4 + 1\/10*x**6. Find the second derivative of d(h) wrt h.\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3480141260.\nAnswer: 2, 5, 193, 901591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -0*w - 20. Let t = -4 - w. Calculate the remainder when 2 is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqjsksjqjqdjs. What is prob of picking 2 q and 1 d?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -6*y**2 + 122*y + 41. Determine b(21).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (18*(-2)\/(-32))\/(-8*54\/(-2880))?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 1 = -2*y. Let q(v) = -v - 2. Let p be q(-5). What is h in -2 - 3*h - 2*h**2 - 2*h**y - p*h - 4*h**2 = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 78.440021 to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**2 - 29*n - 84. Let v be f(-3). Let o(d) = d**3 - 20*d**2 - 22*d + 9. Calculate o(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-11)*a**(2\/5)*(a\/((a*a**1*a)\/a))**(9\/5) assuming a is positive.\nAnswer: a**(-62\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 298 - 304. Which is the nearest to -5? (a) -0.2 (b) j (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2 = -2. Let f = 17\/12 - -1\/4. Let w be 0 + 3 + -2 - -3. What is the nearest to q in f, w, 0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17303875 - -155.58.\nAnswer: -17303719.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5*l + 415 = n, -5*l = -10. Let g = -48 + n. Calculate the remainder when g is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-4)*-4 - (0 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 574132744?\nAnswer: 2, 71766593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-6) - -4*(-36307)\/24. Is -6053 at least as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -7 + (12 - 7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48335330 to the nearest integer?\nAnswer: 6952","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**5\/8 + 294495*l**4\/4 + 86726716033*l**3\/8 - 21681899880*l**2 + 10840986752*l.\nAnswer: l*(l - 1)**2*(l + 294496)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10 - 1 - (-36)\/(-9). Which is smaller: 14\/3 or m?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/21 and -53\/33?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 294 + -291. What is the third biggest value in -4\/5, -27, -2\/9, l?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*2*(4*(0 + sqrt(704) + 4 - sqrt(704) - (sqrt(704) + (sqrt(704) + sqrt(704) + 1)*-2 + sqrt(704) + sqrt(704))))**2.\nAnswer: -118400 - 15360*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*u**2 - 61*u**2 - 267*u**3.\nAnswer: -267*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2))**(-3\/38)\/(a\/((((a**8*a)\/a)\/a)\/a)*a**(-5)\/a) assuming a is positive.\nAnswer: a**(212\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 8 - (0 - (3 + -2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 18130.53cm?\nAnswer: 181305300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 3*y + 1. Let q be j(-2). Solve q*t - 8*t + 25 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*v - 13 = 0, -3*d - 8*v + 30 = -11*v. Which is smaller: 2 or d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.13 - -0.04. Let k = -0.11 + f. Sort 4, k, -4\/3.\nAnswer: -4\/3, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -58237*s + 815307. What is w(14)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-4) - (-2)\/4. Suppose -8 = -3*z + h*w, 2*z - 37 = -2*w - 3*w. Calculate the greatest common divisor of 2 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 6:42 PM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-109 + 102 - (0 - -4))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1.16 * 0.4\nAnswer: -0.464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 2 (c) -1252.4 (d) -205\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r + 5. Let c be k(0). Suppose -4*t = 1 - c. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vlarlrboarrolvrrrlb. Give prob of picking 4 l.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 807\/2 or -64693?\nAnswer: -64693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3578671888 from 0.05.\nAnswer: 3578671888.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9599*s + 4767*s + 8 + 4696*s to the form y*s + a and give y.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/224 and -83\/23252366.\nAnswer: 2604264992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - (-16)\/5 - 12\/(-15). Find the third derivative of -117*o**3 + 10*o**2 + 217*o**3 - 89*o**g wrt o.\nAnswer: 600","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 513, -1\/6, 2, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 2. Suppose x - 15 - 16 = -m*f, -f = 3*x - 21. Solve j - 24 = -3*j - 4*p, 2*j - f = p for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55 - 27. Suppose 2*q = -2*k + 70, 4*q + 0*q = -k + 20. Let g = k - i. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1120\/(-48) + (22 - (-4 + 27))*-23.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-112)\/(-6))\/(-4))\/(27321\/(-339561))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3\/7 + 323109*p**2\/7 - 1241903520*p - 50995666176.\nAnswer: -3*(p - 53872)**2*(p + 41)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*t - 174*t = 177*t + 2652 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.16986 to three decimal places.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 13*d + 45, 0*j = d - 27*j + 22*j - 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -33211 greater than or equal to -33211?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 69926 and -0.1.\nAnswer: -6992.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*z + 2*z**2 + z**2 + 0*z**2 + z**4 - 1 - 2*z**2 - z**3 to v*z**4 + p*z**2 + y + q*z + l*z**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -121334 by -4.\nAnswer: 60667\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of 0*c + 1\/420*c**7 - 1\/12*c**4 + 0 - 56*c**2 - 1\/30*c**5 + 0*c**3 + 1\/240*c**6. Factor b(h).\nAnswer: h*(h - 2)*(h + 1)*(h + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 523379 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 23*c**2 - 60*c - 2. Let o(y) = -45*y**2 + 100*y + 3. Let w(l) = 10*b(l) + 6*o(l). Let q(i) = 6*i. Give w(q(z)).\nAnswer: -1440*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 324\/153 - (3 + -1). Let d be ((-12)\/28)\/((-17)\/(34\/(-6))). Let p = -9 + 9.5. What is the smallest value in v, p, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**2 + 1654*k - 13110. Calculate g(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/26 - (-45)\/1053.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {b: 1, v: 18}.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixty-four fifths of a hour?\nAnswer: 768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -g + 13, 5*c + 17*g = 21*g - 1 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 445949, -1, 25 in ascending order.\nAnswer: -1, 25, 445949","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/30)\/((-7)\/((-84)\/8))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 98526, 196949, 295272, 393501, 491642, 589701?\nAnswer: 687684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 846637 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54 and 1254?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of n**7\/14 - n**3\/2 - 3*n. What is the second derivative of t(j) wrt j?\nAnswer: 60*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -x + 2. Let v = 3.16 + -0.16. Let f = -2.2059 - -0.2059. Which is the third biggest value? (a) v (b) -2\/3 (c) f (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 14*n - 46. Let q be o(8). Suppose 4*b = q*v - 6*v + 28, 1 = -2*v + b. Solve 3*s - s - 5*w = -16, -v*w + 12 = 2*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -791 + 175?\nAnswer: -616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3123 + -3119. Sort w, 5\/3, 8.\nAnswer: 5\/3, w, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10 + -c17760?\nAnswer: -c17770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((6*1*sqrt(135))\/(-1*sqrt(9)*6 - sqrt(9)))\/((sqrt(192)\/sqrt(4))\/(sqrt(16)*4)).\nAnswer: 72*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8127092 is divided by 161.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 276*q**2 - 1. Let c(s) = -18327*s**2 + 36651*s**2 - 18327*s**2. Give i(c(f)).\nAnswer: 2484*f**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 26?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.97 + -1.77. Let x = -19 + 12. Let m = x + 6.9. What is the nearest to 0.08 in p, m, 4\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a\/(a*a**(-2)*a)*a**(-3\/2))\/(a**3\/(a**(2\/9)\/a)))\/(((a*a**(-1))\/a)**(14\/9))**26 assuming a is positive.\nAnswer: a**(229\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1256 (b) 4714 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -270, -0.4, -451\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6537164?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.9443nm in millimeters?\nAnswer: 0.0000629443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4876426 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -108\/55 + -1647\/1430. What is the common denominator of -35\/442 and p?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -57 - -50. Let t = -11 - j. Put t, -5, 4, 5 in descending order.\nAnswer: 5, 4, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 716796, 2867248, 6451356, 11469138, 17920612, 25805796?\nAnswer: 35124708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b + 7. Let z be x(7). Put -4, z, 1 in descending order.\nAnswer: 1, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(198) - sqrt(198)*2*-6)\/sqrt(11))\/(sqrt(1296)*2 + sqrt(1296) + -3*sqrt(144)))**2.\nAnswer: 13*sqrt(2)\/6 + 1321\/288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -481920349*n**3 + 481905924 with respect to n.\nAnswer: -1445761047*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 - 71 = 2*s + 2*u, -3*u - 12 = 0. Which is the nearest to s? (a) 1 (b) 1\/9 (c) 2 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -895*d - 3849*d - 484036 = 2169*d + 117395 for d.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in -5, 0.1, -1\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 1527.\nAnswer: -305.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-816)\/(-288) - (3 - 33\/6) - (39 + -35)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9210*a**3*o**2 - 49440*a**3 - 19*a**2 - 9*a - 3873*o**2 wrt o?\nAnswer: 18420*a**3*o - 7746*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-7)\/(-8)*-6)\/((-52)\/208). Let s be 117\/i - (15 + -10). Let w = -0.07 + 0.07. Which is the closest to w? (a) -3\/2 (b) -4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(5 - 4) + -1. Let p(r) be the third derivative of r**5\/60 + r**4\/24 + 4*r**3 - r**2. Is 8 a factor of p(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45515813 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -24. Calculate the remainder when (1 - 2)\/(1\/(-27)) is divided by u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-75)\/(-20)*4\/3. Suppose -10 = -3*u + i*v, -7*v + 10 = -5*u - 4*v. Let w be (-23)\/u + 6\/(-10) - 1. Solve -w*f - 6 = 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + -7*(0 - 1). What is the third derivative of 4*z**5 + z**5 + 3*z**2 - a*z**5 + z**5 wrt z?\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**5 - 60*g**4 - 75*g**3 + 1390*g**2 + 4140*g + 3240.\nAnswer: 5*(g - 9)**2*(g + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1349 is divided by 59?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 393.8042 nanoseconds?\nAnswer: 0.0003938042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2227*f + 1310*f - 652*f + 1726*f to u + t*f and give t.\nAnswer: 4611","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o - 41. Let m be k(15). Which is the second smallest value? (a) 7 (b) -0.5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4241646026 - -2?\nAnswer: -4241646024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4710?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of -b**2\/2 + 4*b + 1. List the prime factors of x(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -223.1 + 223. Which is the nearest to 1\/3? (a) 2\/5 (b) 2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 9. Sort 2\/17, d, 2\/7 in decreasing order.\nAnswer: 2\/7, 2\/17, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.69, 2\/27, -5, 3\/4, -59?\nAnswer: 1.69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3887*w**3 + w**2 - 8*w - 11. Is h(-1) a multiple of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -283816*c**3 - 1375442*c**2 + 218194*c + 20 = 0.\nAnswer: -5, -1\/10916, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1378902797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*a**2 - 13*a**2 + 56*a**2 - 10*a**2 - 9*a**2.\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -3\/20894, 1\/3 in descending order.\nAnswer: 1\/3, -3\/20894, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 9 = -v, 5*v + 6*y = 3*y + 3. Suppose 0 = -5*z + 9 - 44. Sort 4, z, v in increasing order.\nAnswer: z, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 5*t**3\/4 - 6325*t**2\/4 + 418125*t\/2 = 0.\nAnswer: 0, 150, 1115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 - ((-5 - 1) + -5).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -8. Let m = -20 - -22. Suppose -2*u = -v*c + 35, 2*c + m*u = 6*c - 30. Calculate the remainder when 17 is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45759\/(-18564)*-34 - 84?\nAnswer: -5\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -14*h. Let f(v) = 19*v - 171. Let a(n) = 3. Let q(u) = -228*a(u) - 4*f(u). Determine q(l(o)).\nAnswer: 1064*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (2 - (-4 - -6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -5*p - 973, q + 2*p - 42 = 286. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*k = -2*y + 229, 5*y - 303 = -4*k. Suppose 5*w - k = -4*c + 14, 0 = -2*c + 8. What is the highest common factor of w and 285?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 4 - 14 = -2*g, -4*d = 8 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t + 16 + 38 = 0. Find the third derivative of 13*k**5 + t*k**6 + 0*k**5 + 57*k**2 + 43*k - 30*k**2 - 25*k**2 wrt k.\nAnswer: 360*k**3 + 780*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of -5*l**8\/336 + 2*l**7\/21 - l**6\/24 - 5*l**5\/6 + 5*l**4\/6 + 20*l**3\/3 - 11*l**2. Factor y(w).\nAnswer: -5*(w - 2)**3*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 17*l**3 + l. Let a(z) = -68*z**3 - z**2 - 4*z. Let c(w) = -2*a(w) - 9*j(w). Calculate c(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 895075 = -m, -411*m = -409*m - 12. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -783, 4, 3\/7, -2 in decreasing order.\nAnswer: 4, 1, 3\/7, 0, -2, -783","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2720 - -4587. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 2 (b) 75 (c) 0.07 (d) 6\/17 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-1)*2 + 3. Suppose -g*c = -0*c - 50. Calculate the remainder when c is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -17190, -17188, -17186, -17184?\n\"Answer: 2*t - 17192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 + 44. Let j = 15 + -13. Solve -j*v = -6*v + g for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220)\/(1*sqrt(10) + sqrt(10)))\/(sqrt(200)*-2))**2.\nAnswer: 11\/1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -21, 2, -2, 8 in decreasing order.\nAnswer: 8, 3, 2, -2, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -56*z - 53. Suppose 10 = 2*n - 5*a + 21, -3*n + 3*a - 21 = 0. What are the prime factors of u(n)?\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-1\/3))**46)**11)**(-35) assuming l is positive.\nAnswer: l**(-35420\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 333 (base 5) to base 3.\nAnswer: 10110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u = 5029 - 4930. Solve -26 - 1 = -u*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224 = 4*g - 4*y, 0 = 2*y - 1 - 1. Let x = g + -25. Let m = 43 - x. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1264744 - 0.17?\nAnswer: 1264743.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -198 divided by 10.\nAnswer: -99\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c - c**4 + 3 + 62*c**3 - c - 62*c**3 to a + u*c**3 + p*c**4 + f*c + v*c**2 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101100100001000 + 101?\nAnswer: 101100100001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 7*a**2 + 8*a + 1. Let m be g(-8). Let d be (0 - 1\/m)*-2. Suppose d*b - b = 38. Is b a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 4. Suppose 2*o + 0*o + 18 = 0. Let l be -3 + (o\/(-21) - 88\/(-7)). What is the greatest common divisor of l and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 9 + 30 = 0. Does 5 divide 1 + -4 + m + 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-15)\/90*(-1106)\/(-364) and 97\/92.\nAnswer: 3588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 91 and 62440649.\nAnswer: 62440740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 201632879 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/5 - 4\/20. Let x(j) be the second derivative of 3*j**5\/20 + 11*j**4\/6 + j**3 - j**2\/2 + 70*j. Let f be x(-7). Solve b = f*p - 2*p - 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r + 2*r + 0*r + 2)*(-2*r + 2*r + 2*r) - 6*r**2 + 0*r**2 + 2*r**2 to a*r**2 + n*r + w and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 2\/9 (c) 17639\/4 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9805 + 9805 - 32*t)*(1 + 0 - 2)*(-3*t - t + 0*t) as w*t + i + n*t**2 and give n.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 152015370 to the nearest integer?\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -87*i**3 + 2*i**2 - 8*i - 13. Let z(b) = -b**3 - 3*b**2 + 18*b - 6. Let k be z(-6). Is p(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 1 + -2 + -1 + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2325375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -551155 (base 7) to base 8\nAnswer: -274330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10 (b) -0.4 (c) 63 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 - -44. Let z = u + -22.99993. What is z rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of o**7\/70 - 47*o**6\/24 + 31*o**4\/24 + 4*o**3\/3 - 329*o**2. What is the second derivative of k(c) wrt c?\nAnswer: 36*c**2 - 1410*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 174 (base 10) to base 15\nAnswer: b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -185*r + 207. Calculate o(2).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 times -15297?\nAnswer: -1376730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-8))\/((-20)\/((-200)\/15))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12.03 + 12. Let c = -0.17 + r. Suppose 3*t + 23 = -5*d, d = 4*t + t + 1. What is the biggest value in c, t, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 3*h - 31. Let l be d(-7). Let r = 0.91 - -35.09. Let j = r - 33. What is the closest to l in -1, j, 1\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37 + 37.4. Let f = r + -0.4. Which is the third biggest value? (a) f (b) -1\/7 (c) 3 (d) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.38 - 0.376736. Round m to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100733423 plus -0.295293?\nAnswer: 100733422.704707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z + 14. Calculate the lowest common multiple of p(7) and 9\/24 + (-315)\/(-56).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 13*i - 14*i - 2*i. Let b(d) = -12*d. Give b(f(p)).\nAnswer: 36*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 0)*(v - 3*v + 4*v) - 3 + 2*v - 11 + 16.\nAnswer: 6*v + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1459 + 134*z - 3829 + 1249 - 2554.\nAnswer: 134*z - 6593","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 3.2. Let r = -0.43376 + 0.23376. What is the closest to r in -1, k, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, i: 12, v: 2}. What is prob of picking 2 v?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/3376 and 35\/278906?\nAnswer: 470793328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (0 - (6 - 3)) + 5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (605\/210 - (-7 - (-387)\/54)) + -3\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence epwl when four letters picked without replacement from {n: 2, e: 1, p: 1, w: 2, c: 1, l: 2}.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gwg when three letters picked without replacement from ggwwwwggwgggg?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 371 a factor of 78297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -6. Calculate the greatest common divisor of 27 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 8) in base 7?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-380)\/(-56) - (-39 + 46))\/(3\/(-8))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*g - 1 - 14 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -20. Let i = n + -12. Which is the nearest to i? (a) -2\/13 (b) 0.2 (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 8*u**2 - 8*u - 8. Suppose -2*b - 26 = 4*n, 3*n - 2*n - 4*b = -11. Let f be k(n). Is (-35)\/(-4) - f\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i + 479. Let f be l(0). Let a = f - 89. Suppose -4*c + c + a = -4*h, -4*c - 5*h = -520. List the prime factors of c.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -87 (base 12) to base 8.\nAnswer: -147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 10 + 2 = 0. Let o(q) = -q**3 + 10*q**2 + 11*q. Let j be o(11). Suppose 2*v - 3*v + b = j. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80100 rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 795*a**3 - 377*a**3 - 515*a**3.\nAnswer: -97*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 + 42342103?\nAnswer: 42342042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 2. Suppose -5*z - y = -2*z - b, z + 5*y = -18. Suppose -z*p + 3*p - 14 = 0. Calculate the remainder when p is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**3\/7 - 150*p**2 + 165026*p\/7 - 199818 = 0. Calculate p.\nAnswer: -653, 9, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/7 - (-186)\/(-217).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4790106 millilitres to litres.\nAnswer: 0.0004790106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 914497465 divided by -5?\nAnswer: -182899493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -9*a**3 - 3*a**3 + 1 - 8*a**2 + 11*a**3 + 6*a. Let t be h(-9). Suppose -5*u + t = -152. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - (-94)\/(-8))\/(450\/180)?\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1118*g + 3*r + 31 = -1123*g, 9*r = -3*g + 3 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10493 rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 3*w**2 + 4*w + 2. Let c be y(-5). Let v = -64 - c. Solve 0 = -d - v*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(1900) - sqrt(1900)*-2)**2 - (-5 + (0 + sqrt(1900) - sqrt(1900) - sqrt(1900))**2 - sqrt(1900)).\nAnswer: 10*sqrt(19) + 15209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + 18. Solve -2*q + 3*q = -d for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-26)\/4 + 5)\/(-1*36\/(-96)). Let x(t) = t**3 + 7*t**2 + 4*t - 8. Let y be x(-6). What is the tens digit of 4 + ((-193)\/y)\/(1\/r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 925 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + 4*a - 3. Let r be 100\/(-125) - 418\/(-10). Let k = -39 + r. Give l(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*(-119)\/408)\/((-4)\/(-6)).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 534*f**5 - 788*f**3 - 724385*f?\nAnswer: 10680*f**3 - 4728*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2307570642596 - -2307570626349.57200079. Let w = o - -16246.36. Let m = 0.068 + w. What is m rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-155)\/(-15))\/(2\/(-6)). Let h = b + 41. Calculate the remainder when -2 + 41 - (0 - 0) is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -7*w**6 + 2*w**5\/5 - 22*w**3\/3 - w**2 - 7323*w + 5031. Find the second derivative of t(z) wrt z.\nAnswer: -840*z**3 + 24*z**2 - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -105 * -481.1.\nAnswer: 50515.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1, -4, -13, -26, -43?\n\"Answer: -2*d**2 + d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -136623 - -14724?\nAnswer: -121899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2\/5 - 1434*z\/5 + 1437\/5.\nAnswer: -3*(z - 1)*(z + 479)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 6945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from uucccccouogvugcovgv?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 - (0 - (-12 + 5) - 3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4360599156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-1*((sqrt(171) + sqrt(171) + -2)*-2 + 2 - (4*(sqrt(171) + 1) + 1*sqrt(171)*-2)) + -2)**2.\nAnswer: 6156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nz when two letters picked without replacement from {p: 7, c: 3, n: 5, z: 2}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**5 - 2*g**5 + 3*g**5 - 2*g**5 - g**3 + g**3 + (4*g**4 - 5*g**4 - 2*g**4)*(2*g - 1 + 1).\nAnswer: -7*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, q: 1, e: 1, a: 2, h: 2, r: 1}. What is prob of picking 1 h and 1 a?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 19233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g**2 + 2*g - 4. Let l be i(2). Let w = 15 - l. Suppose -k = -w*z + 14 - 3, -4*z + 5*k + 22 = 0. Is z even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 + (-14)\/(-4))*(2 - 22). Let o be (d - (7 + -3)) + 3. Suppose -26 = o*g - 11*g. Calculate the remainder when g is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 10:49 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 5. Let k be (-8)\/7 - (-1 + 0). Let g = 0.6418 - -4.3582. Which is the fourth smallest value? (a) v (b) k (c) g (d) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 606*q - 306*q + 7 - 5 - 302*q - q**2. Suppose 4*u + 0*y - 2*y = 2, 5*u = 3*y + 1. Let h(w) = -w**2 - 3*w + 3. Give u*h(x) - 3*f(x).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16773*c**3 + 1459*c**2*f - 24469006*f + 8 wrt c.\nAnswer: -50319*c**2 + 2918*c*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-13)\/(325\/30) + 2. Let y = -12.1 - -12.5. Which is the fourth smallest value? (a) 3\/2 (b) y (c) k (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 621 and 138?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 9\/5 and 2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12*10\/50)\/((-3038)\/(-775)*-10)?\nAnswer: 3\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -64.6 - 4.4. Let j = 65 + u. Sort -0.5, 5, -2\/11, j in increasing order.\nAnswer: j, -0.5, -2\/11, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -126 + 129. Which is the second smallest value? (a) y (b) 0 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/9)\/(((-40)\/12)\/5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1998932 and 17812.\nAnswer: -1981120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 51 + 69 = 0. Let i(z) = -z**2 - 3*z + 3. Let f be i(-3). Is s*(f\/3)\/(-1) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 122523 (base 6) to base 9\nAnswer: 16066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36 - -34. What is the tens digit of 394*((-4 - 0)\/4)\/x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 448.7928 grams to tonnes.\nAnswer: 0.0004487928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -6. Suppose -s + 35 = 6*s. Suppose -3*o = -5*o. Solve o = 3*u + a + s for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*s + 2*x - 284 = -3*s, 0 = 1438*x - 1433*x - 10 for s.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-126*c + 100*c - 1 + 2)*(0*c + 4*c - 1 - 2*c).\nAnswer: -52*c**2 + 28*c - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**3 - 247*l**2 + 101*l + 1605. Give s(123).\nAnswer: -1101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -24*a + 28. Let h be r(1). Solve -3*u = h + 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1173, 4, -5, 3.\nAnswer: -5, -3, 3, 4, 1173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -29297 (base 12) in base 7?\nAnswer: -326266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-56)\/21*165\/(-140).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, -83, 0.1, 0.01, -1, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 63577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r + 5. Let n(o) = 4*o - 24. Let v(u) = -6*u**2 + 65*u + 16. Let a be v(11). Determine a*n(m) + 24*j(m).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (2 + 7)) + 6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 201323133 + -2003123?\nAnswer: 133320010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 13 = -5*q, 2*q + 2*q = -2*x + 26 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -3629 > -3628?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 840 + 1493. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lzzdrdrrl. What is prob of picking 3 r?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 8\/((-13 + 15 - 8) + 3)\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3*k + 4 = 0, 4*q + k + 3*k = 24. Let j(s) = 10*s**q - 20 + 7*s + s**3 + 5 + 0*s**2 + 0. Does 19 divide j(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -367*d**3 - 99*d + 40*d**3 + 48*d + 51*d.\nAnswer: -327*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 140*v + 16. Let q(f) = -280*f - 36. Calculate 2*q(g) + 5*t(g).\nAnswer: 140*g + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 0*x**4 + 6*x - 2*x**4)*(204*x - 419*x + 337*x).\nAnswer: -244*x**5 + 366*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**2 + 50 - 26 - 23 + h**3 to j*h + r*h**2 + n + d*h**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -1221*v**2 + v**3 + 615*v**2 + 2 - 18*v**4 - v + 604*v**2 as n + l*v**3 + x*v**2 + w*v**4 + f*v and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -60 - -96. Suppose -2*z + 4 = -4*z. Let k = 5 + z. Solve -x = 4*m + 4*b, 3*b = m + b - k for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 - -2243?\nAnswer: 2311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 838233 is divided by 13873.\nAnswer: 5853","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, 3, 0.7, -124, 0.3, 0.4 in increasing order.\nAnswer: -124, 1\/6, 0.3, 0.4, 0.7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4480728 divided by -894\nAnswer: -5012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + u + 4 + 42 = 0, 5*h - 82 = -u. Suppose 0 = h*c - 12*c. Sort 0.1, c, 2\/7, -0.2 in decreasing order.\nAnswer: 2\/7, 0.1, c, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 106.2 + -105.9. Which is the smallest value? (a) 69 (b) -5 (c) -3 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2620, 1751, 640, -713?\n\"Answer: -121*a**2 - 506*a + 3247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*3\/(-66))\/((-10)\/55).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 plus -18368356586318?\nAnswer: -18368356586339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1635 < 1645?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**1)**(2\/23))**29 assuming u is positive.\nAnswer: u**(116\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 30 = 2*t. Let r be -1 - (t - -5)\/((-1)\/(-3)). Suppose w = -r*w + 6. Solve 0 = w*i - i + 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 477 = 15*i - 48. Suppose -5*k = 5*w - i, 0 = 2*w + w + 5*k - 31. Suppose 3\/2*a + 1\/4*a**w + 9\/4 = 0. Calculate a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -r**6\/40 - r**5\/30 - 73*r**4\/24 + 37*r**2. Find the second derivative of b(u) wrt u.\nAnswer: -18*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 8:49 AM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-7) + ((-2896)\/14 - 0). Let n = 356 + t. What are the prime factors of n?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22.5 - -22.5000206. Round h to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m - 4. Let p = -6 + 1. Let u(j) = 7. Let k(x) = -x + 1. Let z(g) = 2*k(g) - u(g). Calculate p*w(b) + 4*z(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/(-12)*(-3)\/2. Let c = u - 3. Let j = c + 31. What is the remainder when j is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d. Let x(m) = -7*m**2 + 6*m. Let z(c) = -9*c**2 + 6*c. Let j(w) = 3*x(w) - 2*z(w). What is j(v(r))?\nAnswer: -3*r**2 + 6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8088169 to the nearest integer?\nAnswer: 2844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4880815 is divided by 83?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 5*h + 3)*(4 + 4 - 2).\nAnswer: -30*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2\/8 - 485559*v\/8 - 3156387\/4.\nAnswer: 3*(v - 161866)*(v + 13)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -5*b - 6. Let v(q) be the second derivative of 1\/2*q**2 + 6*q + 0. What is p(t) + 6*v(t)?\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-10) - 246\/(-10). Suppose -4*a + d = a, 0 = 2*f + a - 13. Suppose m - f*s + 1 = 0, -s - s = -8. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1357379 and 2455.\nAnswer: 2455.1357379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2242, 2, -2\/13, 4, 23?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 4, -15\/29183, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 5, 0*x + 5*t = 2*x - 25. Solve 5*r = y + x, 5*r = -4*y - 0 - 10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 554*v**5\/23 + 7752*v**4\/23 + 26536*v**3\/23 + 9780*v**2\/23 - 44946*v\/23 + 324\/23 = 0.\nAnswer: -9, -3, 2\/277, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1219841 to the power of 1\/3, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -56 less than -838\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + 8*v**2 - v - 6. Let j be x(-8). Suppose -5*b = -j - 3. Solve -b - 2 = 3*u + 4*w, -5*u - 4*w = 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of j**2\/2 + 17*j + 1. Let m be z(-7). Let g = 12 - m. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 7*n = 15, -b = -3*b + 4*n for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*w = 14*w + 17490. What are the prime factors of w?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x - 7*x - 3*x + 19*x - 8*x - 5*x - 3 + 3 + 2*x + (-4 + 4 - 2*x)*(1 - 1 + 1) + 1 + x - 1 - x + 3*x + 0*x to s + t*x and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 65*b**3 + 11*b**2 - 6*b + 12. Let j(x) = -195*x**3 - 33*x**2 + 17*x - 34. Let s(h) = -17*a(h) - 6*j(h). What is the third derivative of s(n) wrt n?\nAnswer: 390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -160, -318, -476, -634, -792?\n\"Answer: -158*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 2. Let k(h) = h**2 + h - 2. Let n(j) = 2*g(j) + 3*k(j). Is n(-4) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, m: 2, c: 3}. Give prob of sequence mdm.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 less than 1.09600161?\nAnswer: 26.09600161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -372 + 342.2. What is b rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 4240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 13*w + 59. Let h(z) = 3*z + 15. Let t(j) = 2*c(j) - 9*h(j). Let r be t(5). Let u = 28 + r. Calculate the smallest common multiple of u and 22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**4 - 2*i**4 + 0*i**4 + (0 - 1 + 3)*(30*i**4 + 29*i**4 - 55*i**4).\nAnswer: 6*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 248235498 to the nearest integer?\nAnswer: 15755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2573.\nAnswer: 31, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2023944 and 3549.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5643 less than or equal to 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + -2)*-2 - 1. Suppose t*r + 2*h - 12 = r, -3*r + 18 = -4*h. What is the lowest common multiple of 22 and r?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/((-2880)\/(-150))*(-3)\/(-20)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of 2*x**3\/3 - 2*x - 16. Calculate b(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g - g + 42 + g + 0*g to y*g + a and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4*a. Let n be l(-5). Let r be ((-4)\/(-5) - (-8)\/40)*250. Let q be (-6)\/4 - r\/n. Solve -3*g = -q + 2 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f. Let c be v(3). Let w be 15\/6 - 3\/c. What are the prime factors of (3\/(6\/28))\/w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21010201 + -122222010?\nAnswer: -221002211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 5*g - 28, -4*m = -2*g + 14 + 8. Let s = 4 - g. What is the units digit of -1 + (0 - (-6 - s))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 10:57 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*q = 16703 - 4087. Is q a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.29 + 0.76. Let c = -0.491 + q. Let m = c + 0.051. Sort m, -5, 4 in descending order.\nAnswer: 4, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 110769697 to the nearest integer?\nAnswer: 10525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.7425 - 2.7425. Which is bigger: -5\/1753 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280 = -46*q + 11*q. Calculate the greatest common divisor of 152 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 107 - m**2 + 95 + 31*m + 0*m**2 + 101 - 317 to y*m + t + f*m**2 and give t.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -787 + 295 - 260 = -376*w. Solve -3*k + 3 = -6*k, 4*k = w*a - 14 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 4:50 AM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 308262259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 581?\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 327358256 to the power of 1\/2, to the nearest integer?\nAnswer: 18093","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*y - 4*y - 10302 - 10346 + 20648.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-39)\/12)\/((-110)\/110)?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/12*(-6)\/4. Suppose 5*w = w + 760. Let p = w - 1328\/7. What is the closest to -2\/3 in -2, h, p?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5609496978?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 28639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16483 and 2173.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 280, -26.\nAnswer: -26, -5, -1, 280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -95*z**2 - 13*z - 6. Let s be y(-12). Let l be (6\/8)\/(-1) + s\/(-120). Suppose 0 = -j - 3, f + 0*f = j + l. List the prime factors of f.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*u - 3 + 3)*(-u + 3*u**2 + 2*u**2 - 3*u) to the form b + k*u**2 + y*u + s*u**3 and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 403?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirty-one fifths of a microgram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -17*y**2 + 198*y - 24. Determine p(14).\nAnswer: -584","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 4) in base 8?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -355410224 - 0?\nAnswer: -355410224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 0 + 6\/17*m - 10\/17*m**2 + 2\/17*m**4 + 2\/17*m**3 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7391574 a multiple of 486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -158026901552 take away -0.07?\nAnswer: -158026901551.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (10\/325)\/((-13)\/65)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 1:39 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 79.\nAnswer: 1, 4, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 366*c**2 - 312*c - 141*c**2 - 223*c**2 as q + f*c**2 + u*c and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/7)\/g**(-5))**(-1\/17) assuming g is positive.\nAnswer: g**(-37\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -34314 divided by 3\nAnswer: -11438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1073 = -2*z + 4*c - 251, 3*z = 3*c + 1239. What are the prime factors of z?\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 404718607 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04177793 to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56\/35*(-20)\/(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4245 + 11242 + 9265 = 346*v for v.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/2, -27.3, -61, 1724 in ascending order.\nAnswer: -61, -27.3, 5\/2, 1724","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 949 + -949.4. Let v = 0.08 + -0.23. Let t = v + 0.05. Sort t, u, 0.3.\nAnswer: u, t, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 4:39 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 5*h + 36. Suppose -4*d + 10*i - 100 = 0, 22 = 2*i + 10. What is f(d)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6529.26 rounded to the nearest 100?\nAnswer: 6500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tmmt when four letters picked without replacement from ttmtmt?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-seven halves of a millennium?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32 - 27. Put 0.5, 0.08, m in increasing order.\nAnswer: 0.08, 0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 491 is divided by 56?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 + 1004*h + 3*h**2 - 8 - 992 - 10*h**2 + 4*h**2.\nAnswer: -4*(h - 250)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153718867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -22*i**3 + i**2. Let y be -1 + 1 + -1 + 0. What is the units digit of c(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 188 divided by 487567.\nAnswer: 188\/487567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) -3\/2 (c) 1180\/1781 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144748 is divided by 386?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + -2)\/(1 - -1). Suppose 7*s - 4*s - 3 = 0. Let i be -2 - (u + (s - 6)). Solve -l = l + i for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 - 32*i - 130. What is a(-28)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1828, -1737, -1648, -1561, -1476, -1393?\nAnswer: -1312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 at most 306?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 245957*f + 261086.\nAnswer: 245957","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17117.9 litres in millilitres?\nAnswer: 17117900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2640*s**2 - 5*s - 7*s + 12*s - 2732*s**2.\nAnswer: -92*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - a + 60 = 0. Let d be (-4)\/(-3) - (32\/a + 2). Solve 5*r - d*g - 6 + 15 = 0, -3 = 5*r + g for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1144 or 1056?\nAnswer: 1144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1529490.42 + 90.\nAnswer: -1529400.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 591 - 579. Suppose -67 = -3*z + 221. What is the greatest common factor of z and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31\/114 - -2\/19. Let w = -21 + 25. What is the nearest to 0.3 in w, x, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.955154 + -1.0036773. Let q = -1.08 + 1.1285. Let b = q + a. What is b rounded to six dps?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27889\/100 - 1117\/4. Find the common denominator of 79\/15 and v.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 39975.16 tonnes?\nAnswer: 39975160000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 4:04 AM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10617 + -3117. Let n be 436\/(1\/u*-3). What is n rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(425) - sqrt(425)*2 - sqrt(425)) + -1 - 3*(-2 + sqrt(425)))**2 - (((-1 + sqrt(425))*-5 + 5)*5)**2)*-6.\nAnswer: -73500*sqrt(17) + 1544850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4171957727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 14) to base 2\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6\/7, -0.1, 6, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 3. Suppose r*k - 101 - 7 = 0. Let m = 1966 + -1947. Calculate the remainder when k is divided by m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 29*a**2 - 41*a - 1. Let u be f(-28). Suppose -w + u = 2*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0.1, -0.5, 3, -0.05, 1.6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23)\/483 + 1675\/(-105).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 - -764a3?\nAnswer: 764a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (1683\/100980)\/((-2)\/6*(-18)\/(-8))\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 9:50 AM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2112221011 + -12210002?\nAnswer: -2202201020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.4 + -2. Let w be (-18)\/12 + (1 - -1). Which is the third biggest value? (a) w (b) p (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dvdzdddvfzfddfdfdfdd. Give prob of picking 2 z.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4*u = -54. Suppose -p - 2*p = 0. Suppose -2*d + 4*m + m + 23 = 0, p = 5*m + 15. What is the remainder when u is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -2\/11 (b) -1 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97819 is divided by 19560?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 996583400 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1606 - 1593) + -2 + -13?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*p + 3\/2*p**3 - 1\/2*p**4 + 2*p**2 + 0.\nAnswer: -p**2*(p - 4)*(p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -33*g**4\/4 - 2*g**2 + 8. Find the second derivative of q(o) wrt o.\nAnswer: -198*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -6*j - 3*j. Let r be (-1 - j)\/(8\/(-24)). Solve r = 2*h + 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1239637607 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 1.4. What is the third biggest value in 5, 0.1, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57974, 57979, 57966, 57923, 57838, 57699, 57494, 57211?\nAnswer: 56838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -17077, -17666, -18249, -18826?\n\"Answer: 3*b**2 - 598*b - 16482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6*((-19)\/(-8) - 1). Let d = f + -8. Let q = 2.94999 - -0.05001. Which is the nearest to d? (a) 2 (b) q (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18438040 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2663*0.012742.\nAnswer: 33.931946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a kilogram in grams?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -89, -0.3122, 3, 3\/2, -3?\nAnswer: -0.3122","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - r + 2333, -3*r + 4529 + 7144 = 5*b. What are the prime factors of b?\nAnswer: 3, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**3\/5 + 7872*b**2 - 1025748*b\/5 - 946512 = 0 for b.\nAnswer: -13146, -4, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((5\/140)\/(6\/(-16)))\/(322\/(-966)). Which is the nearest to -0.1? (a) -236 (b) y (c) 2.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 + 3 + 9 - 341*d in the form x*d + u and give x.\nAnswer: -341","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -0 + 4, -u - 2 = q for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.8? (a) -5 (b) 10 (c) 2\/9 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9.006, 1\/2, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - -3. Suppose -2*w + 581 = 4*d + d, -3*d = p*w - 1462. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 350*b**4\/9 - 374*b**3\/3 + 908*b**2\/9 - 40*b\/3 - 16\/9 = 0. What is b?\nAnswer: -2\/25, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 807 is divided by 63?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from stnnty. Give prob of sequence tnn.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0041019 rounded to 4 decimal places?\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -219 + 234. Let y be (-84)\/i + (-5 - 23\/(-5)). Let z(o) = -9*o**3 + 6*o**2 + 2*o - 5. Let u(w) = -8*w**3 + 5*w**2 + 2*w - 4. Calculate y*u(h) + 5*z(h).\nAnswer: 3*h**3 - 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 157084171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (2 + 7)) + 6 - -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 266004 - 10641049\/40. Let f = 128\/5 + k. Let f*c**2 + 3\/2 + 15\/2*c = 0. What is c?\nAnswer: -2, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-3358.\nAnswer: -3358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -w**6\/120 + 3*w**5\/40 - w**4\/4 - w**3\/3 - 5. Let d(q) be the third derivative of v(q). Factor d(u).\nAnswer: -3*(u - 2)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 5*k**2 + k - 3. Let x be (20\/(-25))\/(2\/(-45)). Let d(g) = g**3 - 18*g**2 + g - 20. Let s be d(x). What is the units digit of r(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104753608 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 9. Let x be 4\/6*(-9)\/w. Suppose -4*n - 3*t + 125 = 0, 0*t - 78 = -x*n + 3*t. Is 29 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**3 - 24*y**2 - 66*y - 257. What is p(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7721 - -8528. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.67 and 3.\nAnswer: 2.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*i - 26*i - 1. Suppose -2*f - 3 = 2*c - 5, 5*c = f - 7. What is the units digit of (i - -7)*f\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135294661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -365935\/11562 - -1310\/41. Find the common denominator of i and 119\/18.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0288 - 0.1288. Sort 0.2, -0.2, i.\nAnswer: -0.2, i, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23*o*p**3 + 2*o*p**2 - 3*o*p - o - 2*p**2 - 5*p wrt p.\nAnswer: -138*o*p + 4*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3219, -6441, -9663, -12885?\n\"Answer: -3222*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**3 + 223072*j**2 + 15038*j - 15 wrt j.\nAnswer: 6*j + 446144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, o: 3, p: 2, m: 3, s: 2, q: 2}. What is prob of picking 1 l and 2 m?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -l**4\/9 - l**3\/9 + l**2\/3 + 5*l\/9 + 2\/9 = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*q + 4*q - 3*q + 4*q in the form d*q + p and give d.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x*x**(-11)*x)*x\/(x\/(x\/x**(-4\/9))))\/(x**(-2\/3))**29 assuming x is positive.\nAnswer: x**(268\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1610 (base 9) to base 12\nAnswer: -860","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -43884, -43883, -43882?\n\"Answer: k - 43885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 7997*b - 57 = -8000*b, 16*j - 4*j + 2*b = -6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -944*a**3 - 3 + 474*a**3 + 472*a**3 - 10 + 13.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z. Let o(u) = 6*u. Suppose -4*h = -h + 18. Calculate h*o(d) - 33*c(d).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 50, 118, 186, 254, 322?\n\"Answer: 68*p - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, s: 2}. What is prob of picking 2 e and 2 s?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1522\/5 - 304. Is r less than or equal to 114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 153.8 + 12.2. Let t = -168 + l. Sort -0.05, -0.6, t in descending order.\nAnswer: -0.05, -0.6, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(448) + sqrt(448) + sqrt(448) + (-4*(-1 + sqrt(448)) - sqrt(448)) + sqrt(448) + sqrt(448) + (sqrt(448)*1*-4 - sqrt(448)))**2.\nAnswer: -640*sqrt(7) + 22432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 5*a - 39. Give x(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -19.5, 2.1, -7, -646, -5 in increasing order.\nAnswer: -646, -19.5, -7, -5, 2.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2414 = -6*d - 506. Let t = d - 227. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 6 = 4*u. List the prime factors of (u\/(-2))\/(14\/8932).\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232 is divided by 34.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3 = 2*g + 6*o, -3*g = 4*o - 1. Let s be 3\/(-4) + (-27234)\/136. Let a = s - -3014\/15. Is a at most as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/2497?\nAnswer: -2\/2497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2081*l - 1762603. Determine a(847).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -651, -0.09973, 4, -3\/7 in increasing order.\nAnswer: -651, -3\/7, -0.09973, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -28, 0, -25 in decreasing order.\nAnswer: 5, 3, 0, -25, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 118 and 22951.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3 and 44920282.\nAnswer: 44920282.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93596056?\nAnswer: 2, 11699507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2125979 is divided by 465?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2664 and 666?\nAnswer: 2664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.048 - -0.048. Which is the biggest value? (a) 0 (b) k (c) 2\/161\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1822091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1184911 is divided by 10579.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -826*k + 821*k - 10, k + 7*h - 4 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of o**4\/4 + 3*o**2\/2 - 5*o. Let a(v) = 2*v**2 - v + 2. Let s(b) = -6*a(b) + 5*h(b). Factor s(n).\nAnswer: 3*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12230075 (base 9) to base 4.\nAnswer: -112310313110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1455117 is divided by 485037?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 82 - 81.6. Let o = j + -3.4. Let q be -2 - ((-5)\/6 - 2). What is the closest to 1 in 0.01, q, o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 490 and 1328390.\nAnswer: 1328390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 103*t**2 + 19*t - 69. List the prime factors of f(7).\nAnswer: 19, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -50 + d + 12 + 26 in the form o*d + k and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, q: 1, f: 2, n: 4}. Give prob of picking 2 n, 1 c, and 1 q.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1923 is divided by 104.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*j - 15*j + 36*j - 263854. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1431 (base 6) in base 15?\nAnswer: 1a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/5356 and 73\/41728184.\nAnswer: 542466392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69, 255, 563, 993, 1545, 2219, 3015?\nAnswer: 3933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6967.626734273 and -0.5.\nAnswer: 6967.126734273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p + 21. Let u be m(8). Let q = -5 - -30. Let h = q + -15. Calculate the highest common divisor of h and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1012, 6, -1514 in descending order.\nAnswer: 1012, 6, -1514","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (8 - -2 - 11)\/((-1)\/955)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27 by 16651.\nAnswer: -27\/16651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 221 = 5*b + 231, -l - 12 = -4*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (-10 - (-3 + -3 + 2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/44)\/(1\/4) + -15 + 9?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6 and -1560.2?\nAnswer: 1554.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 5*y - 12. Give n(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 657, 1319, 1957, 2559, 3113, 3607?\nAnswer: 4029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58497 and 153.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -7*b**2 - 6*b - 13. Let u(g) = 16*g**2 + 12*g + 27. Let r(i) = 4*u(i) + 9*y(i). Determine r(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b5 - -2?\nAnswer: b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 4*d + d)*(-2 - 2 + 2) + (-3 - 2 - 1)*(1 - 1 + 2*d).\nAnswer: -20*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(693)\/(sqrt(528)\/sqrt(3)))\/(-2*sqrt(144)*4 + sqrt(144)).\nAnswer: -sqrt(7)\/112 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -967*u + 1 + 385*u + 562*u.\nAnswer: -20*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 115984 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 68461 divided by -3?\nAnswer: -68461\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.654 and 6241.\nAnswer: 29045.614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 265 = 1508. Is 197 > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12.68 + -12.38. What is the closest to z in 2\/3, -0.1, -2\/11?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of -i**6\/135 - i**5\/45 + 2*i**3\/27 + i**2\/9 - 2*i - 2. Let g(b) be the first derivative of a(b). Factor g(k).\nAnswer: -2*(k - 1)*(k + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a - 7*a + 2*a + (0 + 2 + 0)*(-2*a - a + 4*a) + 2 - 2 - a + 3*a + 2*a - 3*a + (1 - 3 + 1)*(2*a - 2*a - a) + (4 - 1 - 1)*(6*a + a - 4*a).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/1 - 8*-2. Factor q - 626*a + 2*a**2 + 75 + 662*a.\nAnswer: 2*(a + 3)*(a + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/6)\/(-9)*-4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*u + 2*u - 3*u)*(4 - 1 - 1)*(1 - 1 - 3) to q + f*u and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 18. Let w = 1 + f. Solve w = 4*l + 1 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1393, 2784, 4175, 5566?\nAnswer: 6957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3942 is divided by 3819?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2810 or -13?\nAnswer: -2810","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 30 - -13 - 48 - 38\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 18 - 7 = 0. Solve -r*k + 8 = -7 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.67 + -13.33. Which is greater: -0.2 or h?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1858?\nAnswer: 2, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158*o + 118*o + 73*o - 43*o.\nAnswer: 306*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -322*j + 1242. Determine h(4).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, b: 2, s: 1, q: 1, c: 1, j: 1}. What is prob of picking 1 b, 1 c, and 1 q?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 843985.\nAnswer: 5, 23, 41, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-13)\/(-156)*(-7)\/21*12\/(-10)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7209 - -21628\/3. Let t = 0.13 - 0.13. Which is the closest to t? (a) -36 (b) s (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20370990 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 3*l + 22 + 32, 0 = -2*i + 3*l + 66. Solve 5*p - 5*t = -i, 3*p + p + 5*t = 12 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(480\/8)*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/8 and 121\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 - 6*o. Let b be v(-5). Suppose b*s - 2*s - 354 = 0. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 1427374324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 56 - 22?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 3:49 AM?\nAnswer: 537","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: (211\/(-1688))\/((-78)\/13)\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2174, -3, -139\/3, 1\/2, 1\/5.\nAnswer: -139\/3, -3, 1\/5, 1\/2, 2174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/4)\/((-3)\/4). Suppose -4*u + 62 = 6. What is the highest common divisor of u and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9026 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 27*y**2 + 11*y**2 + 3*y**2 + 13*y**2 + 54*y**2 - 72*y**2.\nAnswer: 36*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - 15*t - 8. Give d(15).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -47.017 and 0.3?\nAnswer: 47.317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 2\/79, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-18)*(-25)\/(-125)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 5:39 PM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vtcvtvcccwt. What is prob of picking 1 c, 1 t, and 1 v?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -11*g. Let h(y) = 10*y + 6. Let z(s) = s + 1. Let p(j) = h(j) - 6*z(j). Let n = -51 + 54. Determine n*x(o) + 8*p(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -x**3 + 3*x**2 + 2*x - 79 wrt x?\nAnswer: -6*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 3. Let m = 0.04 - -0.06. Let f be (3 + -2)*8\/(-18). Sort u, m, f in descending order.\nAnswer: m, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177*s**2 - 285*s**2 + 123*s**2 + 123*s**2.\nAnswer: 138*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-61)\/(-4) + 1\/(-4). Suppose 5*u - 31 = -3*i, 3*u - 14 = -3*i + 7. Let c be 744\/z - i\/(-5). Calculate the highest common factor of c and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5762407 is divided by 1440584.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 8 = -4*d, 3*d = -291*j + 293*j - 2. Solve 4*f = c + 15, f - j*c - 49 = -64 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9520 by 7.\nAnswer: -1360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76131173?\nAnswer: 23, 457, 7243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 3*u + 4 = 0, -5*u = -5*j - 6 + 26 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 35 + 1555015?\nAnswer: 1555054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4758, 1\/4, -1\/38, -0.9, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5417572 is divided by 5417524.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 488677*m**2 - 625141?\nAnswer: 977354*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11331 + -10141021?\nAnswer: -10124140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 20813 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1357fe (base 16) to base 2\nAnswer: 100110101011111111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*l + 2861 + 17626 = 253*l - 12678 for l.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3123054, 6246024, 9368994, 12491964?\n\"Answer: 3122970*b + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2674 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/13)\/l)**24*l**(5\/9)*(l*(l*l**(1\/5))\/l)\/l)**39 assuming l is positive.\nAnswer: l**(-11438\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -2. Let a be ((0 - -3) + 2)\/w*-2. Suppose -3*c - c - 133 = -5*p, -p - c = -23. Calculate the greatest common divisor of a and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1 + sqrt(5) + 1) + (4*sqrt(5)*-1 - sqrt(5)) + sqrt(5) + -5 + 2*sqrt(5))**2.\nAnswer: 6*sqrt(5) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k + 2. Let z(v) = 12 + 35 + 80*v + 8. Suppose 94*o + 12 = 88*o. What is o*z(w) + 55*m(w)?\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7\/262 + 62\/131. Factor -i + 3\/4*p - 1\/4*p**2.\nAnswer: -(p - 2)*(p - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of p**3\/6 + p - 20625. Let v(b) be the second derivative of -7*b**4 - b. What is v(i(m))?\nAnswer: -84*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of 0 + 0*v**3 + 1\/20*v**5 + 6*v**2 + 0*v**4 + 0*v. Let d(q) be the third derivative of q**5\/30 - q**2. Give h(d(k)).\nAnswer: 12*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -287*k**3 + 446*k**3 - 267*k**3 + 3*k**2 + 3 - 3 - 2018*k wrt k.\nAnswer: -648*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -62.5697394 to one dp.\nAnswer: -62.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -163 - -168. Let v be (-6)\/(-2) - 20\/11. Let p = v - 95\/99. Sort p, -0.1, j.\nAnswer: -0.1, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -10*o - 3. Let f(b) = -5*b - 1. Let y(n) = -5*f(n) + 2*u(n). Let k be y(4). Solve -5*m + 26 = 4*p, -m - 3*p = 5 - k for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184 + 88 = 17*d. Let k = 2 + -3. What is the remainder when -2 + (k - -3 - -29) is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.8 and 0.8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -7. Suppose 4*g = 111 - 107. Sort -3, g, m in descending order.\nAnswer: g, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnt when three letters picked without replacement from {r: 1, p: 1, t: 2, n: 2, j: 1, g: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + x**2. Let c(z) = -157*z**3 - z + 0*z**2 - 4*z**2 - 6*z**2 - 166*z**3 + 318*z**3. Let j be 0 + 2 + 6 + (-3 - -1). Calculate j*p(i) + c(i).\nAnswer: i**3 - 4*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 543?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 17*c**2 + 34*c - 60. Let q be m(15). Put -83, q, 0.4 in decreasing order.\nAnswer: 0.4, q, -83","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*p - 523483 = -37*p + p. Is 120 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27852846?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -488489 take away -2444?\nAnswer: -486045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*h - 91*h - 27 + h**3 - 25*h**2 + 86*h = 0 for h.\nAnswer: -1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -17437, -69592, -156521, -278224?\n\"Answer: -17387*r**2 + 6*r - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 20122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -3*k - 658. Let o(s) = 5*s + 659. Give 3*o(p) + 4*v(p).\nAnswer: 3*p - 655","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -1. Let x(w) = -w**2 - 2. Let s(q) = -2*m(q) + x(q). Let p(o) = -136*o**2 - 128*o**2 - 33*o + 263*o**2. Calculate s(p(g)).\nAnswer: -g**4 - 66*g**3 - 1089*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -2. Suppose 2*o - 2*h - 108 = 0, r*h - 2*h - 58 = -o. Suppose 0 = -5*a + 41 - 16. Calculate the greatest common divisor of o and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.13 - 0.63. Suppose 2*i = -2*i + 12. Let v = 7 - i. Put v, o, -1 in descending order.\nAnswer: v, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 4 - (-97)\/22*12. Which is bigger: 56 or i?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 254*f - 9590 + 33284 = -635*f - 188*f for f.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 4*y = 2, 1 = a + y - 1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*j = -303 - 338 + 29. Solve -g = -j*g - 8*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56274301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -66*a**2 - 259*a + 765. Give i(3).\nAnswer: -606","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2242.5 - -2242. Sort 451, -4, q.\nAnswer: -4, q, 451","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 48*i**3 + 4*i**2 - 4*i + 7. Is d(2) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2838372215?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 4:26 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1180 and 2714?\nAnswer: 27140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -u + 14. Suppose 0 = -u*t + 384 + 2658. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 13*b - 9. Let l(t) = 66*t - 47. Give 2*l(y) - 11*m(y).\nAnswer: -11*y + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -259 - -502. Let l = 497 - t. Suppose 2*m - l = 102. Is m a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minus 830?\nAnswer: -824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*w - 19 + 204*w + 19 + 4*w - 102*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 348457 and -2.\nAnswer: -696914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 13\/3, -3, -6.9, -2\/11, -1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -7, 2\/15, 3, 3\/8, -912?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20327816581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 1 + 25 + -22 + -13\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (452\/1695)\/(4\/18).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -93 and 0.1.\nAnswer: -9.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 2*l + 26 + 59, 0 = 5*v - l - 80. What is the hundreds digit of 185\/2*48\/v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -149*t + 150*t - 14, 5*d - 10*t = -35 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4087 and 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 484 + -484. Let l = 55\/4 - 14. Which is the closest to s? (a) -1\/3 (b) 0.2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30320430 (base 5) in base 8?\nAnswer: -736573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 42 = z + 34, -3*x - 3*z = -60. Let j be (2 + 0 + 0)\/(-1). Let t(i) = 11*i**2 + 2. Calculate the remainder when t(j) is divided by x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 4.655\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*t + 67*t = 468. Suppose 23*l - t = 14. Solve 3*d = 3*b + l*d - 16, 0 = 2*b + 3*d - 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7676 - 7683. Let y(n) = -17*n + 5. Let k(g) = -8*g + 2. Determine h*k(f) + 3*y(f).\nAnswer: 5*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (364*m - 44 + 66 - 27)*(3 + 0 + 1)*(1 - 3 + 1)*(-2 - 1 - 3).\nAnswer: 8736*m - 120","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8198? (a) 3 (b) -2\/7 (c) 5 (d) -10\/39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7015 = 492*i + 1841 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 194 = -2*l + 7*c, 2*c + 447 = 5*l. Let w = l + -73. Calculate the highest common divisor of w and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20.913 - -1.973. Let x = q - -20.8. Let o = 0.14 + x. Sort o, -8, 4\/5 in increasing order.\nAnswer: -8, 4\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/5 and -32\/25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 11*z**2 + 2638*z + 2633. Calculate h(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/48*1148\/246 - (-2 + 55\/40).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3*d + 6. Calculate a(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, -6\/11, -0.2, -21?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 2) + (-56 - -70) + (8 - (-6 - -130))?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 79747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3021588 (base 10) to base 6.\nAnswer: 144432500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 48206 + 4*c**2 + 48209 - 96415. Let t(b) = 2*b**2 - 242*b. Calculate t(r(x)).\nAnswer: 32*x**4 - 968*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1607, -3214, -4821, -6428, -8035, -9642?\nAnswer: -11249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**4 - 370*u**3 - 3585*u**2 - 7380*u + 11340.\nAnswer: -5*(u - 1)*(u + 6)**2*(u + 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n**4 - 1610*n**3 - 42360*n**2 - 355680*n - 846720 = 0. Calculate n.\nAnswer: -294, -12, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1576503 - 699026 = -75*r + 7757146. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.65171 - -1947.896.\nAnswer: 1959.54771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*a + 400 = 0, -2*a - 200 = -d - a. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 3*c**2 - 3*c - 1. Let g be q(4). Let d(j) = 2*j - g*j - j + 5*j. Let n(r) = -2*r. Calculate d(n(t)).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 553 and 395.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -3, -4.27?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 179*j + 85 = 174*j, 0 = 4*b - 3*j - 56 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z + 3*z - 5985000. Round z to the nearest ten thousand.\nAnswer: 670000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/34*(-144)\/126*(-289)\/(-102)*138?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 l, and 2 q when four letters picked without replacement from {k: 3, i: 1, j: 3, q: 3, l: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3669782*n**3*w**4 - 155*n**3*w - 23*n**3 + n**2*w - 4*n - 31 wrt w.\nAnswer: -44037384*n**3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 4*l**2 + 5. Let c be b(4). Suppose -133 = -c*k + 17. What are the prime factors of k?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 680\/119 - (-2)\/7. Does 4 divide 59\/4 - (m\/8)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 2) + -178 + 181.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c + 2*c**4 + c + (3*c - 5*c + 7 + 5*c)*(-1 - c**3 + 1 + 269*c**3 + 56*c**3 + 62*c**3 + (0 - 2*c**2 + 0)*(-1 - 2*c + 1)).\nAnswer: 1172*c**4 + 2730*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5212 a factor of 981688371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 9819618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2097*y**3 + 4708*y**2 - 4708*y**2 + 114*y - 114*y.\nAnswer: 2097*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -64.2 - -64. What is the closest to -1\/2 in -2\/11, q, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 547 = -o, -118 - 670 = -3*a - 5*o. What are the prime factors of a?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4304857 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-45))\/(5\/(-15))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 24228, 167, 3, -5 in ascending order.\nAnswer: -5, -1, 0, 3, 167, 24228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (4 + -1 + -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.0167 times 2\nAnswer: 0.0334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.02 - 162835045796?\nAnswer: -162835045802.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -22 (b) 9 (c) -1\/4 (d) 12\/29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*y - 3 - 38 = 0, 4*h - 54 = -2*y. Calculate the remainder when 110 is divided by -1 + 230\/6 - h\/48.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 2. Suppose 2*z + 8 = -v*z. Suppose 9*s - 6*s = 12. Put -3, z, s in descending order.\nAnswer: s, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89868 is divided by 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 451*a + 12. Let z(m) = 33375*m + 890. Determine 445*k(x) - 6*z(x).\nAnswer: 445*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.109493 rounded to 3 decimal places?\nAnswer: -0.109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 72*n**2 - 325012*n + 18056.\nAnswer: 4*(n - 4514)*(18*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2081*o**3*q**4 + 9*o**3 - 2*o**2*q**6 + 6*o**2*q**2 + 17*o + 2*q**2 wrt q.\nAnswer: -49944*o**3*q - 240*o**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -31164, -5, -17, 7, 0 in increasing order.\nAnswer: -31164, -17, -5, -2, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + z - 14 = -4*a, 0 = 4*a + 20. Does 17 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -3 - (-1 - -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -169, -180, -201, -238, -297?\n\"Answer: -u**3 + u**2 - 7*u - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6675 is divided by 1126?\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u + 3*a, -4*u + 2*a + 15 = -15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 365*c - 1710240000 = -83*c. What is c rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 c when four letters picked without replacement from fxfkfkkfxkkkkckxxfkk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 5*d**2 - 5*d + 1. Let u(c) = -7 + 2*c + 1 + 2*c**3 - c**2 - 3*c**3. Let y be (7 - (-11)\/(-2))\/((-1)\/2). Let n be u(y). Calculate t(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((166\/(-1162))\/(((-4)\/66)\/((-112)\/144)))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -70083.5999712157 - -70083.6. Round w to six dps.\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h. Let n(i) = -2227*i. Determine v(n(f)).\nAnswer: 6681*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -83 - x + 31*x**2 + 21*x**2 + 23*x**2 - 84*x**2 with respect to x.\nAnswer: -18*x - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 30\/(-20) + (-15)\/(-2). Let d be (6\/(-36)*0)\/(2 - 3). Solve 5*n + 2*h = -x, 0 = -d*n + 2*n + 2*h for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -83559 (b) 16 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 360 + -645. Let x = -170 - v. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 428*h + 278*h - 1412 = 0. Suppose 4*b + 248 = 2*g, -b - 2*b = -9. What is the smallest common multiple of h and g?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156 = x + 3*x. Suppose x = 3*v + 3. Let o(h) = 21*h + 7 + v*h - 34*h. What is o(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 4*z - 101, -4*u = 7*z - 2*z - 126. Suppose 2*a = a + z. Suppose -a = -x - x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**5\/2 - 1863*m**4\/2 - 645352*m**3 - 196911620*m**2 - 22268506488*m + 22466064392 = 0.\nAnswer: -538, -394, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*c + 2*g, -4*c - 3*g - 5 = -23. Suppose 0 = -c*h + 96 - 60. What is the smallest common multiple of h and 39?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*i = -2*i - 62780. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153*c + 26 = -152*c. Is c a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**2 - 3*x**2 + 3*x**2. Let c(y) = -y - 1. Let h(d) = -5*d - 9. Let o be (8\/10 - 0)*225\/10. Let j(b) = o*c(b) - 2*h(b). What is j(q(w))?\nAnswer: 16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - -4)\/((-1)\/(-2)). Let x be 6\/t*((-16)\/(-24) - -4). Let i(y) = 21 - y - 5 - y - x. Calculate i(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - (-2 - (-9 - -1)). Let r = c + 3. Is (-75)\/r - (-1)\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 23 = -117. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 10*b**2 + 14*b + 1. Is h(11) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.665 - 1.335. Let b be -3*3\/9*-2. Suppose -3*q - b*q = 15. What is the nearest to 0.2 in t, 0, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40071, 160105, 360159, 640233?\nAnswer: 1000327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 949834.\nAnswer: 2, 474917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x - 3. Let n be g(-2). What is the units digit of (7\/((-28)\/(-10)))\/(n\/30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+-57.43\nAnswer: -57.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 2*r**2 - 2*r**2 - 44 - r**3.\nAnswer: -r**3 - 69","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4*n + n - 3*n - 6*n + 6. Let o be ((-4)\/(-7))\/(-2)*(-1428)\/(-68). What is x(o)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 604878?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258 is divided by 237?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.427 + 173.427. Let n = r - 167.79. Let f = n - -0.49. What is f rounded to zero decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 81 + -47. What is the remainder when 132 is divided by a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -4 (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/7210 and 151\/8652.\nAnswer: 43260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 74606 to the power of 1\/2, to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i - 3. Let y be a(6). What is the second derivative of -y*b**2 + 4*b - 4*b - b wrt b?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 596526959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28074 is divided by 703?\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -390*k. Let d(h) = 147270*h. What is z(d(f))?\nAnswer: -57435300*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27648815*h**4 - 4440704 wrt h.\nAnswer: 110595260*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*y - 2*y - 2 = 0, y = 1. Find x such that -a + 7*x - 11\/2*x**2 + 5\/4*x**3 = 0.\nAnswer: 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/7 in -1\/4, -1, 1\/2, 39\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + 13*w - 17. Let r = -34 + 20. Let g be q(r). Which is the nearest to 1\/4? (a) 0.3 (b) g (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -28\/299 and 25\/552.\nAnswer: 7176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yivtvij. What is prob of picking 1 i, 1 j, and 1 y?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - (-1)\/(-5))*-2. Let d = 0 + 0. Suppose 0 = -4*h + 3*n - 19, 17*h - 12*h + 25 = 5*n. What is the nearest to q in h, d, -1\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -398 by 3.\nAnswer: -398\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 184\/(-10) - (-6 + 56\/10). Let h be ((30\/5)\/d)\/(1\/(-3)). Suppose 3*s - h - 29 = 0. Solve -s = -7*y + 2*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -8*f**2. Let c(h) be the third derivative of h**5\/30 + 35*h**2. Give t(c(i)).\nAnswer: -32*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeev when four letters picked without replacement from vneeneennnn?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10027750 is divided by 588?\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001100 - -1110100000011011010?\nAnswer: 1110100000110100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of 1\/2*a**2 - 2*a + 0 + 7\/6*a**3. What is n(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s - 5. Let k(m) = -10*m + 14. Suppose 3*d - 1 = 17. Let l(i) = d*k(i) + 17*b(i). Let p = 1 - 0. Calculate l(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 721*x**2 - 1264*x.\nAnswer: 1442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 49821381475\/20377766864 - 1\/181944347. Let k = v - 3\/406. Find the common denominator of k and 37\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0 (b) 1.31 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 r when two letters picked without replacement from yyeuurrueyeure.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -15*w**2 - 1. Let p(j) be the first derivative of -11*j**3\/3 + 451. Calculate p(f(q)).\nAnswer: -2475*q**4 - 330*q**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ah when two letters picked without replacement from {h: 1, s: 2, r: 1, b: 7, a: 2, y: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -393 - -392. Which is the fourth biggest value? (a) -4 (b) y (c) 4 (d) 24\/73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 57*g + 15731. Determine c(-276).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -9. Let w = 11 + t. Solve -f + 0 = -w*o - 23, 14 = 2*f - 2*o for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -520749770 rounded to the nearest one hundred thousand?\nAnswer: -520700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of g**4\/24 + 13*g**3\/6 - 2*g**2. Let b be u(-10). What is the units digit of (15*2)\/(b - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -501*p. Let y(z) = 8*z - 8. Let f(i) = 19*i - 18. Let u(c) = 4*f(c) - 9*y(c). Determine u(l(a)).\nAnswer: -2004*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/19*c**5 - 14\/19*c**4 - 8\/19 + 2*c**3 - 50\/19*c**2 + 32\/19*c.\nAnswer: 2*(c - 2)**2*(c - 1)**3\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249333 to the power of 1\/2, to the nearest integer?\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5298055*w**4 + 603977*w**2 - 12*w wrt w.\nAnswer: -127153320*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 215 and 172?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9 (b) 99 (c) 4\/5 (d) -1 (e) 5 (f) 84\/5 (g) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j + 4. Let q be k(4). Let f(y) = -y + q - 4*y - 1. Let p(t) = t - 10. Let b be p(8). Determine f(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(6\/5)\/q*q\/q**(-15))\/(q**(-1\/9))**27 assuming q is positive.\nAnswer: q**(96\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -153.81354627 to the nearest integer.\nAnswer: -154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -7*o - 5. Let c = -4 + -1. Let a(v) = 2*v - 2. Let q be a(0). Let b(s) = 3*s + 2. Let d(t) = c*b(t) + q*f(t). Determine d(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1863049 take away 54338422?\nAnswer: -56201471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-152*r + 2979 - 2979)*(0 - 2*r + 0) + (-6 + 4 + 1)*(-2*r**2 - 2*r + 2*r).\nAnswer: 306*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.82 - 0.55. Let z = u + -0.16. Which is the third smallest value? (a) -1 (b) z (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h = -h + 2*f + 8, -f = 4*h - 5 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -177 - 4?\nAnswer: -17b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l + 6. Suppose 4*o + 4 = 3*o. Let q be r(o). Suppose s + 25 = 5*g + 6*s, -q*s = -4*g + 32. What is the highest common factor of 1 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 940974.2 weeks?\nAnswer: 158083665.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005025 to five dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -87 + 82.1. Let u = a + -1.1. Let h = u + 5.7. Put h, 0.1, 4 in increasing order.\nAnswer: h, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 89 - 93. Let r(y) = 315*y**2 - 9. What is the hundreds digit of r(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-14)*h\/((h**(1\/22)\/h*h)\/h))\/(h*h**(-3\/7))**(-43) assuming h is positive.\nAnswer: h**(1929\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2238455 - 2238455 - 158*d**3.\nAnswer: -158*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/7)*g**(-3\/7)\/g*g)\/(g**(-2\/3)\/g*g*g**2*g) assuming g is positive.\nAnswer: g**(-64\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 164710320+-8\nAnswer: 164710312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195239.\nAnswer: 11, 17749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-853*h**2 + 2*h + 740*h**2 - 3*h)*(h - 2 + h + 1).\nAnswer: -226*h**3 + 111*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 10:09 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 96 - 62. Calculate the remainder when 135 is divided by x.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 5. Let z = -6.2 + 6. Which is the third smallest value? (a) 0.5 (b) q (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is b17e (base 15) in base 13?\nAnswer: 14093","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4585, 4639, 4693, 4747, 4801, 4855?\n\"Answer: 54*q + 4531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -3f9?\nAnswer: -3f7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14399, 14413, 14437, 14471, 14515, 14569, 14633?\nAnswer: 14707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 848240 to the power of 1\/2, to the nearest integer?\nAnswer: 921","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 80429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3*p**3 - 2*p**3 + 28 - 33*p + 34*p**2 + 6*p**3 - 2*p**3. Is l(33) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of 0*w**5 + 3\/10*w**7 + 225*w**2 + 0*w**4 + 0 + 3\/2*w**3 + 0*w**6 + 0*w. Find the first derivative of r(n) wrt n.\nAnswer: 252*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/4*6\/(-4). Let m = 1.6 - -0.4. Let r be 60\/(-105) + 15\/35. Sort r, f, m.\nAnswer: r, f, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.222+-10544.6152\nAnswer: -10544.8372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*v**2\/7 + 24*v\/7 - 24\/7.\nAnswer: -6*(v - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 2030 and -206030994381.\nAnswer: -206030992351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 448 - 435. Solve 12*v = i*v - 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-12)\/(-15))\/(112\/(-40)). What is the nearest to 0.1 in -2, d, 3, -4\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1241, 2468, 3693, 4916, 6137, 7356?\nAnswer: 8573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 273972*z. Let x(t) = 2*t**2. Determine x(c(m)).\nAnswer: 150121313568*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 3 = 2*n, 3*m + n - 7 = 5. Suppose 5*o - 2*z = z + 1, 0 = 2*o + m*z - 13. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 720.9524l?\nAnswer: 720952.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 7:28 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zqzz when four letters picked without replacement from zqqzqzzqbz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 3*s + 28, -n + 5*s = n - 28. Suppose -3*m + 25 = 4*b - n*m, -3*b + 10 = m. Solve 0 = b*u - 0*u + 15 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of o**4\/2 - 7*o**3\/3 + 13*o**2\/2 - 14*o - 18. What are the prime factors of c(9)?\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4f + -d0ab?\nAnswer: -d05c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/30*(11\/((-66)\/(-15)))\/(-3).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*(-4)\/(-12) - (-286)\/(-142))\/((-1395)\/2790)?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a centimeter in millimeters?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 12:44 AM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -15\/59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 4775 = 4774?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of w**2 + 0*w**4 + 1\/30*w**6 + 0 + 1\/3*w**3 + 0*w + 0*w**5. Differentiate g(k) with respect to k.\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.66699 rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 26 = 25. Let f = 21 - g. Suppose f*w - 4*s - 284 = 0, 0 = -4*w + 5*s - 22 + 305. Is w a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84486.\nAnswer: 2, 3, 14081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 338 and 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/12 + 1\/(-2). Suppose z = 3*g - 3*s + 15, 5*g + s = 1 - 2. Suppose 0 = 5*d + 12 - 2. Sort d, -5, g.\nAnswer: -5, d, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(125) + sqrt(5))*-3.\nAnswer: 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.68 - -0.255. Let o = 0.135 - p. What is the nearest to 1 in -0.5, o, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17209210.\nAnswer: 2, 5, 541, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -546918752 + 546918768.59999858. Let n = c - 16.6. What is n rounded to 7 dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21\/35 + 7374\/10 + -1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -n**5\/20 + n**4\/6 - n**3\/2 + n**2\/2 - 33*n. What are the prime factors of h(-5)?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t**2 + 0*t**2 - t**2)*((14 - 5 + 15)*(-4 + t + 4) - 6*t + 3*t - 3*t) in the form u*t**3 + m*t + d + i*t**2 and give u.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a year?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttthttththt. What is prob of sequence tttt?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1300)\/(-910))\/(1\/(-7)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 8:14 PM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -156, -409, -658, -903, -1144?\n\"Answer: 2*t**2 - 259*t + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*u + 12938 = -272*u - 7798 for u.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4079075?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxhx when four letters picked without replacement from hnxhnxhjnnxnxhhxx.\nAnswer: 5\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43756220 and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*h + 19*h + h)*(181 - 63 + 84) to the form r + p*h and give p.\nAnswer: 6262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/12 + 2\/(-8). Let s = 0.03 - 0.03. Which is the nearest to w? (a) s (b) -0.2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) 516 (c) -0.2 (d) -0.14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c - 257*c**2 - 3 - 276*c**2 - 11 + 14.\nAnswer: -533*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4\/2 - 47*o**3\/2 + 555*o**2\/2 - 2525*o\/2 + 2000.\nAnswer: (o - 32)*(o - 5)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 3*n**3\/5 + 287889*n**2\/5 - 345187656*n\/5 + 102835110708\/5 = 0.\nAnswer: -97151, 594","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -9658*b + 48311. What is x(5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -u - 10, -2*a - 2*u + 0*u = 12. Let j(q) be the third derivative of -q**4\/12 + q**3\/6 - 2*q**2. Let f be j(a). Solve 0 = -4*z - 5 - f for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 0.9819?\nAnswer: 2.9457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -8. Let p be (3 - -1)*9\/4. Suppose -3*r = -3*i - p, 5*r = -i - 3*i - 12. Solve 5*g = -0*q + z*q - 15, r = 4*q + 5*g - 21 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tktkktk. Give prob of sequence ttt.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 25. Let c(n) = 9*n. Let p be c(5). Suppose z - 9 - 8 = y, 3*z - p = -3*y. What is the smallest common multiple of z and u?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15208 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -5) + -5 + 0 + -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 64094 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.20345 to one dp.\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 4*r**2 - 5*r + 4. Let i be j(3). What is the common denominator of 13 and 185\/(-25)*(i + 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*m + m + m)*(-21*m**3 - 16*m**3 - 139*m**3) to the form p*m + a + v*m**3 + x*m**2 + s*m**4 and give s.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 15, l: 4}. What is prob of picking 2 l?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21709306 to the nearest integer?\nAnswer: 4659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**4\/3 - 964*l**3\/3 + 5747*l**2\/3 + 964*l\/3 - 1916 = 0. Calculate l.\nAnswer: -1, 1, 6, 958","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 3*g + 2*v + 6, -4*g = -2*v - 10. Let f be (-42)\/g + -1 + 2. Which is smaller: f or -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/39*10\/(30\/(-9))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 262696 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 12*u + 2. Calculate the remainder when l(5) is divided by -3*(-30)\/(-18)*(-4)\/(-3)*-3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -19, 0.2, -3, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -598*z + 2*w = -593*z + 46, -11*z - 2*w = 18 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + 5. Suppose -6 - 4 = -p. Which is greater: j or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(325)*4.\nAnswer: 4 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -125273319 rounded to the nearest one hundred thousand?\nAnswer: -125300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -k**4\/12 + k**3\/2 + k**2 + k. Let s(x) = -3*x**2 + 8*x + 5. Let l = 27 + -31. Determine l*s(u) + 11*q(u).\nAnswer: u**2 + u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.04, -8\/7, -0.2 in decreasing order.\nAnswer: 4, -0.04, -0.2, -8\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3908*r**2 - 3908*r**2 - 139138*r**3.\nAnswer: -139138*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -2, -5, -1\/24?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1690577653?\nAnswer: 31, 3931, 13873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(25)\/sqrt(45))**2 + -5 + sqrt(80)*-4.\nAnswer: -16*sqrt(5) - 10\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-143)\/455*55 - -17. Which is the closest to -3? (a) 4 (b) t (c) -116\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 40942 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1887, -3773, -5657, -7539, -9419?\nAnswer: -11297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.002 + 20.002. Let q = 20 - z. Which is the closest to 9? (a) q (b) -5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 + -4. What is the remainder when 65 is divided by (-2)\/(-6) - (-784)\/v?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 3*d**2 - d + 6. Let u be q(3). Let c(m) = m**2 - m - 1. Let h be c(0). Put -3, h, u in increasing order.\nAnswer: -3, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 8 + 3)*(4*q - 3*q - 2*q)*(689*q + 98399 - 98399) as o*q + z + t*q**2 and give t.\nAnswer: 4823","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 y when four letters picked without replacement from vumvyy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21419481*m - 186965073?\nAnswer: 21419481","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a + l - 5, 2*a = -5*l + 2 - 1 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87206, 87087, 86968?\nAnswer: 86849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 684 divided by -36.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 8577, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9\/14 (b) 8062 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 4:48 PM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22.6 + -24.6. Let i = 12 - 12. Let v = 0.4 + -0.9. What is the third smallest value in o, v, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 + 1)*(159 - 159 + b**3) + (4 - 11 + 5)*(2*b - 2*b + b)*(2*b**2 + 20*b**2 - 8*b**2).\nAnswer: -24*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -1. Let f(t) = -19*t - 9. Let o(u) = f(u) + 5*j(u). What is the derivative of o(d) wrt d?\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45 - 133\/3. Is 0.051 at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 34703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 7840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -18*b**3 + 2*b**2 - b - 5. Let h be z(4). Let a = -84 - h. Suppose 4*s = 4*n + 2*s - 1030, -4*n + a = 3*s. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 116 + -1157\/10. Let g = -4.44 + 0.44. Sort 0.5, p, g in descending order.\nAnswer: 0.5, p, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 78.11 - 3.11. Let y = d - 72. Let q be (-2 + 1)*1 - 1. Which is the nearest to q? (a) y (b) 4\/7 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1388875 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (34*(-4 - -3))\/(-2). Suppose b*c - 19*c = -20. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 10) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/135 in -37, 7434, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = m + 5*c + 18, 5*m = 5*c + 45. Let l(y) = y + 5. Calculate the remainder when m is divided by l(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -7. Let z(v) = v**3 + v**2 - v + 4. Let x be z(0). Suppose 3*d + 4 = -x*l, -5*l + 18 = -2*d + 46. What is the second biggest value in n, -1, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -2, 2\/3, -347, 1\/5 in descending order.\nAnswer: 2\/3, 1\/5, -1\/4, -2, -347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-3))\/(7\/(126\/81)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1396*t**3 + 1293*t**3 - 675*t**3 + 16*t - 7*t - 9*t.\nAnswer: 2014*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 < -88236.89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m**3 - 14*m**3 - 10*m**3.\nAnswer: -31*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of u**4\/24 + 4*u**2. Let l(o) = 4*o**2. What is l(z(m))?\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 59, 154, 417, 932, 1783, 3054?\n\"Answer: 14*d**3 - 3*d + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-3)\/(45\/(-543)))\/(1\/5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 4*x**2 + 4. Let f be g(4). Suppose f*q + 206 = 2*b - b, q = 3. What is the remainder when b is divided by 55?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 147 - 71 - 41*z**3 - 73 + (-2*z + z - 4*z)*(2*z**2 + 3*z**2 - 4*z**2) to h*z**2 + y*z + o*z**3 + j and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-134)\/133665*-21)\/(2\/(-2*5)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*a - 8 = 24, 3*d - 103 = -a. What is the remainder when 100 is divided by d?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-37)\/(-185))\/((-9)\/15)*-202893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2378 a factor of 309161402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 34*n + 1422. Calculate o(-24).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -9. Suppose 17*o + 10 = 21*o + c, -4*c = -4*o. Sort r, 4, o.\nAnswer: r, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -185194409*q*u*w + 203626*q - w + 99 wrt u.\nAnswer: -185194409*q*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 86.16683 millennia?\nAnswer: 1034001.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 w, and 1 v when three letters picked without replacement from {z: 3, t: 6, h: 1, w: 1, n: 3, v: 4}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/3570 and -125\/21168.\nAnswer: 1799280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -35, -39, -29, 1, 57?\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuffuuufuuuuuffff. Give prob of sequence ffff.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f + 1. Let o(m) = -31*m - 1. Give 2*i(q) + o(q).\nAnswer: -33*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -250 - -148. Let d(q) = 9*q. What is the remainder when -5*(l\/15)\/2 is divided by d(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -5*i**2. Let v(d) = -60*d**2 + 133*d**2 - 64*d**2. Determine v(r(w)).\nAnswer: 225*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, e: 1, g: 1, u: 1, q: 1}. Give prob of sequence ey.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/13)*a**(1\/4)*(a**1*a)**(1\/14))\/((a*a\/((((a*a**(-2))\/a)\/a)\/a)*a*a*a*a)**35)**(3\/47) assuming a is positive.\nAnswer: a**(-372847\/17108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112 = 37*a + 184 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10728?\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p*p*p**(1\/3))*p)**(-4)\/(p*p**(-1))**38)**(-13) assuming p is positive.\nAnswer: p**(104\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 z when three letters picked without replacement from zuuyuzuzuz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -320, -307, -278, -227, -148, -35, 118, 317?\n\"Answer: t**3 + 2*t**2 - 323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6905573 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5313 divided by -69\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*q**2 + 1729 - 50*q**2 - 98*q - 47*q.\nAnswer: 2*q**2 - 145*q + 1729","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1929a + -4?\nAnswer: 19296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -3*m + 2, 5*v + 5 = -27*m + 30*m. Suppose m = 3*n - 4*j - 1514 - 1410, 5*n = -3*j + 4854. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2 + -1 + sqrt(1573)) - (3 + sqrt(1573) + sqrt(1573) + -1 + sqrt(1573) + 5))**2.\nAnswer: 110*sqrt(13) + 39326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30867765 and 1290.\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 4*o + 283213 = 283288, o + 30 = -2*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5515 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-7) + 238\/(-1). Let b be (-130)\/z - 36\/84. What is the biggest value in 3\/7, b, 1\/8?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -844 + 671.5. Let v = -135 - b. Round v to 0 dps.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -35062*m - 11857 wrt m.\nAnswer: -35062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 6*m - 42. Let g(p) = -p**2 - 6*p + 11. Let w be g(-8). What are the prime factors of b(w)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 divided by -13143?\nAnswer: 43\/13143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 6\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35007382?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52\/(-240)*(-761)\/39572*2\/3*12?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -344 + 414. What is the highest common divisor of 154 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(1\/2))**4*k*k**3*k**(-5))**(-2\/25))**(-9\/5) assuming k is positive.\nAnswer: k**(18\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7277?\nAnswer: 19, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -18, 0, 0.1, 8, 93\/4?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 716627?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6464?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(120) - (sqrt(120) + 2*sqrt(120) + sqrt(120)))\/sqrt(4) - sqrt(30))\/(sqrt(10) - sqrt(90)*1).\nAnswer: -3 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72)\/26*(-1521)\/351?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/49608 and -109\/16536.\nAnswer: 49608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 2*b**2\/3 + 94*b\/3 - 7216\/3 = 0.\nAnswer: -88, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -2, -3969 in ascending order.\nAnswer: -3969, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -50261 or -2663800\/53?\nAnswer: -50261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 + -25 - -23)\/((-1)\/(-71011)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 81 - 102. Let k be (-880015)\/(-10) + w\/14. Round k to the nearest 1000.\nAnswer: 88000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 2 + (-4 + 2 - 1)*(2 + 3 - 3))*(-2*v + 4*v + 0*v + (-4*v + 3*v - v)*(0 - 1 - 1) + 5*v + 0*v - 4*v).\nAnswer: -14*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/((104\/(-13)*10\/60*3)\/(-20)).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b, 1 n, and 1 y when four letters picked without replacement from {y: 1, n: 1, j: 4, b: 7}?\nAnswer: 21\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000037621351 to 6 dps.\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -7*s**3 + 341*s**2 + 172*s - 93. List the prime factors of h(49).\nAnswer: 3533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 16*h = -33*h - 11*h + 60, 2*h - 1 = -4*l + 1 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*t**2 + 3*t**2 - 45*t - 1 - 6*t**2 - t**4 + 422*t**5 - 438*t**5 wrt t?\nAnswer: -320*t**3 - 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-306)\/(-1224))\/(1 - (-2 + (-11)\/(-4))). Sort o, -3, -5, -2, -4 in ascending order.\nAnswer: -5, -4, -3, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1395, -32, -38, -3, -7 in decreasing order.\nAnswer: 1395, -3, -7, -32, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38\/67 - -6271\/402. Calculate the common denominator of -19\/5 and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -11. Suppose x = 2 - f. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 5*c - 10, 0*b - 16 = -4*b - 2*c. Calculate the highest common factor of b and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 4908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -152*j**3 - 32*j**2 + 5457*j + 1 wrt j?\nAnswer: -912*j - 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23\/4 + 6. Let g = -2.67 + 2.37. Let m = -1.11 + 0.61. Sort g, y, -0.01, m in ascending order.\nAnswer: m, g, -0.01, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -113122120 (base 4) in base 10?\nAnswer: -95896","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 210.771 + -188.76. Let o = -0.011 + x. Let j = o + -22. Which is the smallest value? (a) j (b) -4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 + -1689?\nAnswer: -1692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 12:28 PM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 609*o = -338*o + 142997 for o.\nAnswer: 151","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 21*s - 123. Give u(26).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 111241 divided by 7\nAnswer: 111241\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 829432 is divided by 46076?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42*k*u**3 + 3824*k*u**2 - 4758*k*u + 5*k - 2*u wrt u.\nAnswer: 252*k*u + 7648*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 533459*b**3*r + 49*b**3 + 46*b**2*r + 102*b**2 + 2*b + 352 wrt b?\nAnswer: 3200754*r + 294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/126)\/((-2)\/12*(-185)\/592*-32)?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 808335617, 808335619, 808335621?\nAnswer: 808335623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 21.216 times -0.3\nAnswer: -6.3648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/328627, 7, -1\/6, 15 in descending order.\nAnswer: 15, 7, -2\/328627, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 + -11 + (1 - -5) + 15 + -18 + 8?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2790617814916 - 379\nAnswer: -2790617815295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 358 divide 1080548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43796, 44034, 44680, 45938, 48012, 51106, 55424?\nAnswer: 61170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/9 + (0 - 28\/(-9)). Suppose 0 = 4*f - f - 9. Find the third derivative of -4*k**f - 2*k**q - k**2 + 21*k**2 - k**3 wrt k.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7, 5, 4, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -546*0.1\nAnswer: -54.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m + 7*m - 4*m + 11 - 29 to the form k*m + t and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do -17600 and -17598 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -28?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 27 = 207. Calculate the remainder when 89 is divided by d.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15554 and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 63828 at least as big as 63828?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 350, 2405, 7906, 18563, 36086, 62185?\n\"Answer: 285*x**3 + 13*x**2 + 21*x + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -79*p**3 - 6*p**2 + 119*p. Let s(t) = -132*t**3 - 10*t**2 + 239*t + 1. Calculate 5*b(m) - 3*s(m).\nAnswer: m**3 - 122*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.002 - -0.002. Which is the fifth smallest value? (a) 15 (b) -8 (c) 3 (d) j (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 127.0484\nAnswer: -127.0484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2.5915 - 5896748.867\nAnswer: -5896746.2755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*(a\/a**(2\/19))\/a)*a)\/(a\/(a*a*a**(-2)\/a*a))*a**(1\/17)*a*a*a\/(a\/a**2)*a)**(-38) assuming a is positive.\nAnswer: a**(-3336\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22736025 to the nearest integer?\nAnswer: 4768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j. Let h(d) = -8*d**2 + 2*d. Calculate h(t(b)).\nAnswer: -8*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = z + 2*z - 2*i, 0 = 4*i + 4. Suppose -c = 3*c - z. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 y when two letters picked without replacement from bbbyuddbbyybbbyydbbb?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4623214 (base 7) to base 12.\nAnswer: -23a16a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -5*sqrt(20) - (sqrt(245) + 1 + -4).\nAnswer: -17*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 4*s - 17, -s + 2*s = -t + 8. Suppose -2447 = -5*m + a, 5*a = -t*m + m + 968. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cr when two letters picked without replacement from {r: 2, g: 4, c: 2, f: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 26839 times 4?\nAnswer: 107356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -116 - -158 - 34 - 111.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-1 + 2 + -3 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, 3\/5, -0.23168 in descending order.\nAnswer: 3\/5, 3\/7, -0.23168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1474812 is divided by 823.\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/174 and 32\/321.\nAnswer: 18618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8515*i**2 + 0 - 2602*i**2 - i - 1 + 10405*i**2.\nAnswer: 16318*i**2 - i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5602 and 21.9.\nAnswer: -122683.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 366612451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -16130?\nAnswer: -2\/8065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*y**2 + 29*y**2 + 71*y**2)*(5*y + 0*y - 2*y)*(-14*y + 5 - 5).\nAnswer: -3024*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 18*g + 14. Suppose -2*b = 3*s + 11, 3*s + 4*b + 1 + 0 = 0. Let n be k(s). Let q = -95 - n. Solve -5*j = 3*y + q, -j + 4*y = 13 - 5 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d + 2. Let q(p) = -3*p + 5. Let o(b) = -5*l(b) + 2*q(b). Let s(j) be the third derivative of j**5\/30 - 4502*j**2. Give o(s(h)).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 91610?\nAnswer: 36644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.56 - 2.4. Let s = -3 - b. Let n = 0.039904 + s. What is n rounded to 5 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4*u = 182, 2*u = -34*n + 32*n + 80. Solve -27 + n = -11*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5 - -6)\/(((-30)\/(-105))\/(-2)). Put 138, -0.2, m in descending order.\nAnswer: 138, -0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(9\/(297\/11)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 67689861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 10*o + 13. Let t = -72 + 74. Suppose 7 = -s - t. What is h(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d75b (base 14) in base 8?\nAnswer: -223425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g**4\/2 - 128*g**3 - 1021*g**2\/2 + 1247*g + 644 = 0 for g.\nAnswer: -23, -7, -4\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = k - 4744, -3*k = -2*y - 4750 - 9506. What is the hundreds digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -863*m**2. Let b(t) = -t**2 - 216*t + 655*t - 220*t - 219*t. Calculate b(c(k)).\nAnswer: -744769*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04766, 1, 0.3 in descending order.\nAnswer: 1, 0.3, -0.04766","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 168 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1342 + 1073 = 669*j - 2268 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 189 - 54 = 0. Let u = 22 - 21. Which is bigger: w or u?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 9004905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 4*c + 2 - 1, -3*i + 19 = 4*c. Let q = c - 0. Suppose m = -1 - q, 4*y - 92 = 4*m. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2935 a factor of 476820100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139342?\nAnswer: 2, 7, 37, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1032 is divided by 102.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-10)\/(-3)*(-72)\/300 - 154018\/(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1008)*-3 + 6*(sqrt(1008) + sqrt(1008)*-2))*-6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 153\/21 - (-2)\/(-7). Suppose -5 = -4*d + u. Let v(o) = o**3 - 4*o**2 + o. Calculate v(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 4*x + 1. Let b be (-4)\/x*42\/56. Solve -10 = -b*j - 2*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + sqrt(288) + sqrt(288) + 1*sqrt(288) + 1 + 2 + -3 + (sqrt(288) - sqrt(288)*2) + 0)**2 + -4.\nAnswer: -576*sqrt(2) + 6932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 262394527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4128683, -4128681, -4128679, -4128677, -4128675, -4128673?\n\"Answer: 2*x - 4128685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1841 is divided by 86.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 5*x - o, -19*o + 12 = 2*x - 17*o for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -4864169 >= -4864168?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 31*l**2 + 15*l - 166. Let g(z) = 7*z + 171. Let y be g(-20). What is the units digit of k(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 260417 - 0?\nAnswer: 260417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 983\/78 - 77\/6. Let j be 0\/(2 + (-3 - 0)). Is h > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, 3\/14, -4\/25, 6 in decreasing order.\nAnswer: 35, 6, 3\/14, -4\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/3380 and 47\/208884?\nAnswer: 1044420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 538236411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8559\/5 + -1712. Which is the second smallest value? (a) -3\/2 (b) -4 (c) -50 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 3*n**4 + 225*n**3 + 1269*n**2 + 1863*n = 0.\nAnswer: -69, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a millennium in years?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -830 divided by 2\nAnswer: -415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0318? (a) -4 (b) 1\/2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/11)*b**(-2\/5))\/(b\/(b*b**(2\/3)))**(-1\/2) assuming b is positive.\nAnswer: b**(-136\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 35 and 209.7.\nAnswer: 244.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 10*q**2 + 3*q - 31. Let o(s) = -5*s**3 - 51*s**2 + 14*s - 151. Let d(h) = -2*o(h) + 11*p(h). What is d(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s + s - 8*s = 11832. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -35 - 5*n - 11*n + 2*n + 18*n. Let v be l(10). Solve 0 = -0*o - o - v for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(2\/5))**(3\/2))**(46\/5) assuming y is positive.\nAnswer: y**(207\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 3*n**2 + n + 16. Let f be h(0). Let o be (-48)\/28*-1*7. Let q be (-120)\/(-3)*o\/15. What is the greatest common factor of q and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + w + 1)*(1514*w**3 + 1339*w**3 - 3130*w**3) to c + f*w + b*w**2 + s*w**3 + z*w**4 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/145474 and -43\/62346.\nAnswer: 436422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -16*g + 1330. Let j(i) = 3*i + 1. What is -6*j(h) - u(h)?\nAnswer: -2*h - 1336","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*v = -85*v + 11*v - 600 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of c**7\/1120 + c**6\/720 - 7*c**5\/480 + c**4\/48 + c**3\/3 - 2. Let s(y) be the third derivative of k(y). Factor s(i).\nAnswer: (i - 1)*(i + 2)*(3*i - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/(-10) + -4 - -2.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2450\/(-84))\/(3905\/(-14058)).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w - 11*w = 0. Which is greater: 2\/9 or w?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -21, -40, -59, -78, -97?\n\"Answer: -19*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-3307 - -3249) + (4 - (-2 + (0 - -1)))\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1*24\/(-3))\/((-179)\/(-2864)))\/2?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -13, -2413\/13, 6\/7?\nAnswer: -2413\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 2*n - 3, 2*m + n = 4 - 5. Calculate the lowest common multiple of 0 + (-1)\/m - (-57 + 10) and 9.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12516474?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*h + 2 - 2)*(73 - 191*h + 186*h - 18) to the form c*h**2 + j*h + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5*x - 1636585 = 0, 0 = 70*y - 71*y - 5*x - 545535. Round y to the nearest 1000.\nAnswer: -546000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -250, 0 in descending order.\nAnswer: 0, -17, -250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 232.5.\nAnswer: -930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14d1 + -3?\nAnswer: 14cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/9*w**2 + 0 + 4\/9*w = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -20*y + 10. Let o be i(-7). Suppose 110 + o = 4*z. Suppose -2*b - 42 = -4*p - 128, -b + 28 = p. Calculate the remainder when z is divided by b.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -917, 3, 0 in decreasing order.\nAnswer: 3, 0, -917","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 41*w + 32*w + 21 - 16*w + 21*w wrt w?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, l: 11}. What is prob of picking 3 p?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 + 2*k**2 - k**3)*(-2 + 2 - 1) + (0*k**3 + k**3 - 2*k**3)*(-8 - 8 - 6).\nAnswer: 23*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by 33?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73310998.\nAnswer: 2, 67, 547097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 - q + 41. Let c be l(6). What is the remainder when (-17 - -6)*(c + -11) is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/114)\/((-3094)\/(-1326)).\nAnswer: 2\/133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3602681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 5*o**2 + 307*o + 154. Let r be l(-61). Solve -2*u = -r*a + 30*a - 6, -4*a - 12 = -u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -81 + 88. Let g = -9 + 16. Let a = r - g. Do a and 1\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*b - b. Suppose l - b*l = 0. Suppose 0*g - 3*g + 57 = l. Is 14 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5508564, -5508433, -5508216, -5507913, -5507524?\n\"Answer: 43*o**2 + 2*o - 5508609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 390372622 = -5*m, 0 = -5*m + m + 2*i + 312298094. Suppose -4*y - 177930494 = 37167602. Let b = y + m. What is b rounded to the nearest 1000000?\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -144, -29, 86, 201?\nAnswer: 316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + m + 14, 2*d = -3*d - 2*m + 27. Suppose -10 = d*c - 45. Suppose c*j = 11*j - 84. Is 4 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5345038?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -399 - -402. Solve 4 = 2*z - l*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p + 15 - 182 + 100 - 263.\nAnswer: -p - 330","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1931 * 0.4\nAnswer: -772.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3443385871 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -6, -9, -10, -9?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6074a1 (base 13) to base 2\nAnswer: -1000100011110101101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2550 - -21240?\nAnswer: 24010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, v: 3, b: 5, u: 3, d: 7}. What is prob of sequence vdbv?\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 111*w**2 - 557 - 196*w - 109*w**2 + 553 to u*w**2 + d + x*w and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140*r - 900 = -145*r. Does 25 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2177211293?\nAnswer: 8963, 242911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8266 - -8267. Let g = 4.11 - 0.11. What is the third biggest value in -1\/5, g, c, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*n - 24 - 46 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 124028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 430536*l - 3*l**2 - 430374*l + 0*l**2.\nAnswer: -3*l**2 + 162*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12139333 to the power of 1\/2, to the nearest integer?\nAnswer: 3484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1372 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/2182 and 43\/1538.\nAnswer: 1677958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 3 - (-52 - -47)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 761093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 1 (b) -1713 (c) -0.16 (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0258 and 0.4.\nAnswer: 0.01032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, i: 5, x: 3}. What is prob of sequence hih?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, 3\/5, -4, 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/864 and -65\/48?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.58*-1.9.\nAnswer: -18.202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -449781.9991 rounded to the nearest one thousand?\nAnswer: -450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -11*o + 3*o**2 + 0*o**2 - 2*o**2 + 13. Let m(t) = t**3 + 3*t**2 - 4*t - 2. Let u be m(-3). Is z(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 588122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/13 less than or equal to 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3482 - -222855\/64. Which is greater: 1 or g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 907695122 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5 + -5)*(-1)\/2. Suppose 10*f = s*f + 20. Suppose -f*b + 10 = -5*l, 5*b = b + 3*l + 14. Solve -b*o + o = -5*z + 7, 0 = -5*z - o - 8 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 109 = 3*v + 4*f, 0 = 5*v + 4*f - 235. Suppose v = 3*j - 2*j. Let z = j + -43. Solve 2*w + b + 7 = 0, z = -w + 4*b - 7 - 1 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.72 + 114.28. Let y = b - 118. Suppose -2*k = -5 - 1. What is the fourth smallest value in k, 0.03, 0.5, y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/18)\/(2958\/(-31059)).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 16*i**2 + 16*i + 22. Let u be y(17). What is the hundreds digit of 4*u*(15 - 8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - 7 - -3) + 79. Calculate the greatest common divisor of 7 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = l + 6 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1410644441.\nAnswer: 23, 4969, 12343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/(-50))\/(((-3)\/(-6))\/(5\/(-1)))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (26\/2 + (-516)\/43).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 0 = -45. Suppose 2*a - 6*d - 4 = -4*d, -11 = -2*a - t*d. Let p be 0\/(-1*2*1). Solve p = -2*y + 7 + a for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 506037 - 504896.932. Let f = -1144 + h. Let y = -0.068 + f. What is the biggest value in -3\/7, y, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 670.6351625733 - -4\nAnswer: 674.6351625733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -85 + 93. Suppose c = 9*c - 32. Suppose -12*s + 376 = -c*s. What is the remainder when s is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -517?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of -u**4\/12 + 3*u**3\/2 - 4*u**2. Give b(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 4*f - 17919990, -5*o - 1655186 = 3*f - 15095161. Suppose -70*y - f = -69*y. What is y rounded to the nearest one hundred thousand?\nAnswer: -4500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 2*n**2 - 1. Let z be a(-2). What is the greatest common factor of z and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from wwwqwqwwww?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from iiiiiiiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304) + 0 + 1 - (1 + 0 + sqrt(1216)))*-3)**2*6.\nAnswer: 16416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -120*f - 8818. What is d(-82)?\nAnswer: 1022","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-272)\/(-18))\/4 - (0 + 4).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2822 - 0?\nAnswer: 2822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 10. Solve -u*z = -4*z - 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1154 + -1149 + 49 + -2?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 14. Let w = h + -6. Solve w*q - 9 = -4*k, -3 = q + 2*q for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of -4*l**4 + 77*l**3\/6 + 35*l**2. Differentiate q(h) wrt h.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3 - 1688*z**2 - 13408*z - 26752.\nAnswer: -2*(z + 4)**2*(z + 836)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -511. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 695931727 divided by -2?\nAnswer: -695931727\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 138 = 3*r + 4*h, -5*r + 2*h + 214 = 0. Suppose -s = -5*b - r + 6, -5*b = -5*s + 110. Solve -x + 3*q + 2*q + 12 = 0, -s = 5*x + q for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 2*n + 32 = 0. Let h be 57\/12 - (-2)\/n. Solve 3*t = h*t - 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9607166427.8590004 + 9607169187. Let l = -2761.141 + j. Let o = 2 + l. What is o rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52 - 1. Suppose -41 = 5*u - v. Suppose r + 102 = 4*s + 4*r, 0 = s - 4*r - 35. Solve s = 5*x + u for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26643 and 749?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 95642597 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 365*l**2 + 417*l + 18663. What is o(-366)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (y + 1 - 1)*(-y + 3*y - 3*y + (-18 + 18 + 14*y)*(1 + 0 + 2)*(-1 + 4 - 4)) in the form v*y + p*y**2 + j and give p.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -20767, -38457, -53065, -64591, -73035, -78397?\n\"Answer: 1541*s**2 - 22313*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 20 = t. Suppose 0 = -2*k + 4 - 14. Sort t, -1, k in descending order.\nAnswer: -1, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -319 * 0.3\nAnswer: -95.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 23*s - 6. Let r be o(4). Let m = r - 86. Find y, given that 2\/5*y + m + y**2 = 0.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = g - 6, 2*g - 2*n + 8 = 4*g. Let y be 26\/(-195) - (1 - 47\/15). Solve -g*f - f = 5*p + 25, 2*p + 10 = -y*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j + 9136915 - 3076915 = 0. What is j rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3\/36)\/((-12)\/(-18)))\/(1\/(24\/14))?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 848*z**3 - 2311*z**3 + 852*z**3 + 612*z**3.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.49177 centimeters in kilometers?\nAnswer: 0.0004649177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (8 + -27 - 27)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 35?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 9*d**2 + 17*d + 24. Let p be u(-7). What is the nearest to -0.1 in -1, -2, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2662*n + 455202. Give p(-171).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 0. Let n(g) = 15*g. Let k be n(c). Suppose -3*l = -3*r + k, 24 = r + r + 5*l. Calculate the smallest common multiple of r and 5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1596\/13, 2, 0.04, -0.1, 3\/19?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 55068611 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 13740*v + 7790573. Give d(-567).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o\/(o\/o**(-1\/3))))**(28\/9)\/(o**(-4)\/o**(-4\/9)))**(-11\/7) assuming o is positive.\nAnswer: o**(-1364\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/25 and 7\/2745?\nAnswer: 13725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5589 + 67133\/12. Find the common denominator of f and 43\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of 1\/20*g**5 + 0 - 2*g + 9\/2*g**2 + 7\/3*g**3 + 5\/6*g**4. Does 5 divide u(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 2.97484 kilograms?\nAnswer: 0.00297484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z**2 + 3*z. Let w(r) = 6 + 7 + 5 - 18 + 2*r**2. Give n(w(i)).\nAnswer: -12*i**4 + 6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 18*t**2 - 16*t + 18. Let z be v(-17). Let p be 2\/4*(4 + 0). Which is bigger: z or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46 - 44. Solve -n + 1 = -z*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 939, 3749, 8433, 14991, 23423, 33729, 45909?\n\"Answer: 937*n**2 - n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4a + -4?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -v - n - 14, -5*v - 5*n = 30. Let i be 3\/v + (-97)\/4. Let f = -13 - i. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 99 - 66. Let b = d - 29. Solve -b*p = -3 + 23 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 424 (b) 10\/7 (c) -4 (d) -21 (e) 22 (f) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 23 + -17 - (-3)\/(6\/(-4)). Let s be 64\/(-48)*2\/x. What is the second smallest value in -9, 1\/8, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34*(5 - ((-138)\/(-42) - (7 - (-216)\/(-28)))).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.1 take away 5431?\nAnswer: -5421.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 787612?\nAnswer: 2, 7, 23, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -754 - -65?\nAnswer: -6ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 220877810?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/21 - 13\/14. Let j = a - -49\/30. Which is smaller: j or 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in 18, -0.2, -26?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*m + 18144 = -458*m for m.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 330 + 10 = 17*p. Suppose 4*c - 3*i = -7*i + p, -2*c + i = -1. Solve -4*z - 4*y - 20 = 0, -2*z + 3*z = -c*y - 7 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -3\/7, -0.6, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -439, 4, -9, 2, -5, 3 in decreasing order.\nAnswer: 4, 3, 2, -5, -9, -439","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78 and 806.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**2 - 3*d + 2. Let f be p(-3). Let g = f - -7. Solve g = 2*j + 8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11101302132 (base 4) in base 16?\nAnswer: -151c9e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 58 = 2*b - 0*l, 4*l = 5*b - 190. Suppose -b = 3*v + 5*s, 3*v + s = 4*v - 2. Is 16\/(-24) - 1\/v*6299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/((1 - -2)\/3). Suppose 2*g - 201 = 5*y, -5*y + 4*g - 168 = -y. Let u = -38 - y. Sort u, 0, z in decreasing order.\nAnswer: u, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*h**2*l*n*x - h**2*l + 2*h**2*n**3*x + h**2*x - 7*l*n**3*x + n**3 - 24*n**2*x wrt l?\nAnswer: 8*h**2*n*x - h**2 - 7*n**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -0.146, 2?\nAnswer: -0.146","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141652.\nAnswer: 2, 7, 5059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*h**2 + 20204128*h - 4489808.\nAnswer: 4*(h + 561226)*(9*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77211\/(-14920) - (-6)\/16.\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-0.02757.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 3*l + l - 3*o, 4*l = o + 17. Let c be 2*-1*2\/l. Is 2\/7 greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 6. Let a be (4 + 52\/(-12))*-1*6. What is the remainder when a*((-83)\/b - 3) is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 102, 302, 626, 1068, 1622, 2282, 3042, 3896?\nAnswer: 4838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 5*b**2 + 4*b - 5. Let s(l) = 3 - 1 - l + 3 - 4*l - l**2. Let o be s(-5). List the prime factors of d(o).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -1. Let v(h) = y + 13*h - 10*h - h**2 + 0*h - 7*h. Give v(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 3*i = -5*t + 12, -3*t + 16 = 4*i. Suppose j + 4 = t, -d - 2*j - 2*j - 13 = 0. Suppose -r = d*r - 12, 54 = 5*u - 2*r. Is 8 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -185*y + 3*y**2 + 185*y. Let k(x) be the third derivative of x**4\/8 - 107*x**2. Give k(d(f)).\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*(0 + 0 + 40\/(-12)). Suppose 6*a - 19 = 23. Differentiate a - o - 3 - 5 - 16*z**3 with respect to z.\nAnswer: -48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/98*((-3)\/(-3))\/((-1112)\/973)?\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -3*k + 6216, -2*k + 3*b - 8288 = -6*k. Suppose -30*p + 16*p + k = 0. Calculate the remainder when p is divided by 27.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 24 from -0.7.\nAnswer: -24.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + (-1 - (-14 - -25))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 886587.9 micrograms in grams?\nAnswer: 0.8865879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 360055 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -127*w - 84 + 84 + (5 + 0 - 3)*(3*w - 3*w - 2*w) - 1 - 2*w + 1 - 32 - 3*w + 32.\nAnswer: -136*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -83, -14, 4\/7?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1194380 and 427.\nAnswer: 8360660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44 + -25. Suppose -3*u + k = -l + 5*l, -3*l + 5*u = 22. Suppose -5*g = -21 + l. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of 69*a**2\/2 - 5*a - 1. What is the tens digit of z(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5965079, -5965100, -5965121, -5965142, -5965163, -5965184?\n\"Answer: -21*b - 5965058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (63 - (-21 + 12)) + 59 - (1 + 23).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -14*n**2 - 3*n + 8*n**2 + 3 + 5*n**2. Suppose -2*t = -2*u + 10, 12 = 4*u + t - 28. Suppose -3*p + p = 0, -p = -3*c - u. Determine m(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**2\/5 + 5934756*n - 14675553658140 = 0 for n.\nAnswer: 4945630","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2419276828 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 3:48 AM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/1518 and -27\/77?\nAnswer: 10626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 839017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -227 - 202?\nAnswer: -429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v - 17. Let i be s(-11). Let h(m) be the first derivative of -3*m**3 + 9*m - 2. Let u(z) = 4*z**2 - 4. What is i*h(o) - 13*u(o)?\nAnswer: 2*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -212 or -218?\nAnswer: -212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 9*t**2 + 2*t + 4. Let u(k) = -343*k**2 - 77*k - 154. Let s(m) = -77*r(m) - 2*u(m). Let j = -3 + 2. What is s(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.3 + -9.4. Let z = 2.2 - 2. Let h = -0.2 + z. What is the closest to h in g, 3, 0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -0*y - 11481. Let i = y - 30521\/8. Calculate the common denominator of i and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - -3. Let f be 36\/b - 2\/5. Sort 1, f, -4 in descending order.\nAnswer: f, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 3*h = b, 2*b - 25 = -h. Solve -2*k + 3*y = -0*k + 11, -4*k = y + b for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 808622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.30751 to one dp.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 256304?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 253, 417, 531, 595?\n\"Answer: -25*h**2 + 239*h + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.011030213 rounded to 5 dps?\nAnswer: -0.01103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 + -46?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 1246*c**2 + 42*c + 80. Is z(-2) a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 - 34 = 2*m - 121 + 40, 61 = 3*p + 8*m for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*u - 15 = -54*u. What is the least common multiple of 6 and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4363 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 672 and 16968?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8335203*k - 3730940 wrt k.\nAnswer: 8335203","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2244, 2271, 2312, 2361, 2412?\nAnswer: 2459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, b: 3}. What is prob of picking 2 b?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 26, 53, -9, -2, -3 in descending order.\nAnswer: 53, 26, 3, -2, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q**4 + 3*q**4 + q**4 + (3 - 2 - 3)*(3*q**3 - 3*q**3 + 2*q**4).\nAnswer: 4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 701787 times -1\nAnswer: -701787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-6\/19))**(-15)*u\/(u\/u**(-22\/7))*(u*(u*(((u**(2\/37)*u)\/u)\/u)\/u)\/u)\/u*u)**(-8) assuming u is positive.\nAnswer: u**(937968\/4921)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 o when three letters picked without replacement from eehoeeoddo.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00340217 to four dps.\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x - 16*x + 25971 = 0. Let j = x + -659. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -76*n - 2735. Let q be o(-37). What is the greatest common divisor of q and 8162?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, i: 6, t: 4}. Give prob of sequence rtr.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 PM and 1:17 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*t**2 + 16*t**3 - 45*t**2 + 18*t**2 + 1 + 12*t**2 + 2*t**3 to j*t**3 + i*t**2 + r + o*t and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3093644623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20380534, 20380533, 20380532, 20380531?\nAnswer: 20380530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 15, j: 4}. Give prob of sequence jjj.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9, -16, -23, -30?\n\"Answer: -7*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y - 46 = 9*y. What is the nearest to -2\/3 in -0.2, -0.19, y, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 1 - 17. Suppose -3*r + z*r = 2. Factor -3\/4*a - 1\/4*a**r - 1\/2.\nAnswer: -(a + 1)*(a + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 22268, 22296, 22340, 22406, 22500, 22628, 22796, 23010?\n\"Answer: u**3 + 2*u**2 + 15*u + 22250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221021 + 11?\nAnswer: 221102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1314070637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3186847 is divided by 5784.\nAnswer: 5647","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-4)\/(-48) - ((-16070)\/(-1800) - 7) and -113\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 4. Suppose 4*d + 7 = -3*d. Calculate the least common multiple of 7 and (j + 1\/(-1))*d.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30096315 is divided by 321.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 3:25 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -4, 1.\nAnswer: -4, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(224\/(-24))*616\/(-33)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 5*n**4 + 2461*n**3\/4 + 71943*n**2\/4 - 234549*n\/4 - 11907\/4 = 0?\nAnswer: -63, -1\/20, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-14) - (-460)\/161. Let t(y) = -3*y**3 + y**2 + 3*y - 1. Let k(j) = 6*j**3 - 2*j**2 - 7*j + 3. Determine q*k(l) + 7*t(l).\nAnswer: -3*l**3 + l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 10. Let y be (0 - 2)*(-45)\/h. Let w(k) = -4*k - 3. Let i be w(-2). What is the highest common factor of i and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/10)\/(-7*60\/(-700)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x**(-12)\/x)\/((x*(x*x**28)\/x)\/x))\/(x**(2\/119)*x**(6\/17)*x) assuming x is positive.\nAnswer: x**(-4804\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -238774?\nAnswer: 238770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 245432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-27)\/(-6))\/((4\/60)\/(16\/10)). Solve 39*h - v = 126 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -3*v - 9787, -29374 = -2*x + 5*x - 4*v. Round x to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 455 + -450. Suppose l - 62 = f. Solve 64*w = l*w + 12 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0958 - 23.6258. Let m = -1.03 - i. What is m rounded to 0 decimal places?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/6 in 0.9, 3, 2, 5, -8.8?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2379579661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j**2 + 3*j - 4. Let n be g(-3). Let m be 7\/2 + (-21)\/n. What is o in 0*o**m + 1\/4*o**3 + 0 + 0*o + 1\/4*o**4 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3624 times -5.729\nAnswer: 20761.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 214*p - 230*p + 64 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 609?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/s**9))\/s**10)**(3\/26)\/(s*s**(-6)*s\/((s*s**(-8)*s*s*s)\/s)*(s*s**(-1)\/s*s)**(6\/7)) assuming s is positive.\nAnswer: s**(-29\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 8*q**2 - 24*q - 25. Calculate w(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 371536600?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -12, 5, -5 in decreasing order.\nAnswer: 5, 3, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 353 is divided by 40.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 7*u**2 + 4*u + 14. Suppose 4*l = -2*h + 20, -4*h + 6*h - l = 10. Let j be d(h). Solve j*x + 7 = 3 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of 7*v**4\/6 - 373*v**2 - 4*v. Let q(x) = -197*x**2. Calculate q(p(y)).\nAnswer: -154448*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1074170 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: What is -120211032 (base 4) in base 13?\nAnswer: -36aa1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -291, -2235, -7513, -17793, -34743, -60031, -95325?\nAnswer: -142293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40 - 39.83. Let r = a + -1.17. What is the closest to r in 1\/5, -0.3, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -74 - -79. Find u such that -27*u**3 + 4*u**4 + 18*u**4 - 3*u**z - 4*u**4 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -2*h**5 + 30218*h**4 - 152016264*h**3 + 253759503712*h**2 + 4360747709504*h - 4614355227168 = 0.\nAnswer: -18, 1, 5042","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 158, 163, 166, 167, 166?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z**3 - 8*z**2 + 11*z - 15. Let p(c) = 0*c**2 - 5 - 5*c**3 + 16 + 12*c**2 + 12 - 17*c. Let q(b) = -5*p(b) - 8*x(b). What is q(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -1, -18 in descending order.\nAnswer: 5, 0, -1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 7*l - 7. Let f(s) = -20*s + 21. Calculate 6*f(o) + 17*i(o).\nAnswer: -o + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 19951962, 79807860, 179567690, 319231452, 498799146, 718270772, 977646330?\n\"Answer: 19951966*o**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from isdsssdids. What is prob of picking 3 d?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 - -33. Solve r + d = 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44 by 10.\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22245?\nAnswer: 3, 5, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17767 - 17765. Solve 0 - 9\/2*n**4 + 9\/2*n**v + 15\/4*n - 3*n**3 - 3\/4*n**5 = 0.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or 0.0052?\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -716 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of -1\/6*x**3 + 0 + 3*x - 3*x**2. Let d be t(-3). Which is the third smallest value? (a) -0.3 (b) 5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-5)*(j**(-5)\/j)\/j)\/(j**(1\/4))**22 assuming j is positive.\nAnswer: j**(-33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of 11*w**3\/6 - 21*w. Let p(d) = -2*d. Give t(p(f)).\nAnswer: -22*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68, 87, 106?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**0*s*s)\/s**(-2\/3))**(-8\/13)*(s**0\/(((s\/(s\/s**(-3\/5))*s)\/s*s)\/s))\/((s**(1\/6)*s)\/(s*s**0\/s*s)) assuming s is positive.\nAnswer: s**(-157\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7, 12, 71, 188, 381?\n\"Answer: 3*i**3 + 2*i**2 - 8*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 545?\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*w + 717 = -228. Let x be (-11)\/w - 24\/(-180). Sort x, 0.04, 0.5.\nAnswer: x, 0.04, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 4*d - 7. Let l be a(-6). Let s = 11697 - 11667. Solve -l*p + s = -11*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1295438 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-32)\/(-6) + (-12)\/(-18)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2 = -4. Let t(g) = -2*g**2 - k*g**2 - 14 - 3*g + 7*g. Let v(a) = -a**2 + a - 3. Suppose 18 = -4*i + 74. Determine i*v(r) - 3*t(r).\nAnswer: -2*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 177.2 - 177.153. Let f = -4.4 - -3.9. Sort 0.2, f, 3, m.\nAnswer: f, m, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/((k\/(((k**11*k)\/k)\/k))\/k)*k*k)*k)\/k)**(7\/3)\/(k\/((k**(-1\/14)\/k)\/k))**35 assuming k is positive.\nAnswer: k**(-271\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17061067 and 33325.\nAnswer: 1333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*y + 9*y. Solve -o = y*o - 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 14, -0.3, 7, -2\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 5 = 5*t, -s + t = -1 + 2. Let d(v) be the first derivative of 1\/2*v**4 + 1 + 0*v**2 + s*v**3 - v. What is the first derivative of d(a) wrt a?\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1692670 and 19120.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 33*i + 11. What is z(-3)?\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*-3*sqrt(65) + sqrt(65))*-1)\/((sqrt(5) - -2*(sqrt(5) + sqrt(25)\/sqrt(5))) + sqrt(15)\/(sqrt(9)\/sqrt(3))).\nAnswer: 4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 26*i + 142. Calculate the remainder when d(12) is divided by 111.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 602, 714, 840, 986, 1158?\nAnswer: 1362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 5:18 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1868 + 1199. Let p = -666.31 - q. Let n = -2.7037 + p. What is n rounded to 3 decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -4 + (3 + sqrt(288)*-2 + sqrt(288))**2 - (-1*1*sqrt(8) - (sqrt(8)\/sqrt(4)*-6 + sqrt(18) + 5))**2.\nAnswer: -62*sqrt(2) + 270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3\/2)*i*(i\/(i**(2\/9)*i))\/i*i*i)**(1\/23)*(i**(-5)*i)\/(i\/i**(1\/4)*i)*i*i\/i**(1\/5)*i*i**(-1\/5) assuming i is positive.\nAnswer: i**(-12991\/4140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 1 - 5 + 7*m + 5 - 5. Suppose -2*b - 5*r = 7, -4 = -5*b + 3*r + 25. List the prime factors of q(b).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -2\/3*l**6 - 5 + 17\/3*l**3 + 0*l**5 + 0*l**4 + 0*l + 0*l**2. Find the third derivative of p(b) wrt b.\nAnswer: -240*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 6*p**2 - 7*p - 5. Let h be x(-7). Let n = -3 - -1. Does n = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 215.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (22\/(-4))\/(4\/(-56)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**3)**(-5\/6)*a**(-17)*a*a**2*a assuming a is positive.\nAnswer: a**(-31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 131469, 131535, 131601?\nAnswer: 131667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -15*q**7\/56 - 29*q**6\/24 - 33*q**5\/16 - 25*q**4\/16 - 5*q**3\/12 - 5*q - 8. Factor n(v).\nAnswer: -5*v*(v + 1)**3*(9*v + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -762440 + 762439. Let s = -1 + 0.98. Let w = 1 - 5. Which is the nearest to -1? (a) d (b) s (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-4\/15)*c**21\/c)\/(((c\/(c*c**(-2\/9)))\/c)\/(c*c\/(c**(-6\/11)\/c))))**(-7) assuming c is positive.\nAnswer: c**(-83356\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**7*r*r\/r**(1\/4)*r*r*(r\/r**2)**(-22) assuming r is positive.\nAnswer: r**(131\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 11:46 PM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 5*x - 81. Suppose 52*c + 127*c - 626 - 1880 = 0. Determine d(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.11, -85, -0.2 in descending order.\nAnswer: 0.11, -0.2, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 2, 4*r - 970 = 5*g - 29193. Is g a multiple of 141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o + 3*h - 29, -17 = -5*o + h - 0*h for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u + 6. Let p(o) be the first derivative of -3*o**2 + 34*o + 74. Let i(l) = 6*p(l) - 34*r(l). Let n(b) = -18*b**2 + 1. Calculate n(i(t)).\nAnswer: -72*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1145 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 3:25 PM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68 and 6766?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.3 (b) 1 (c) -52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 6, 71 = 5*l - 3*g - 88. What is the greatest common factor of l and 120?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of -1\/70*f**7 + 0*f**3 - 2*f**2 + 0*f + 0*f**5 + 0 - 1\/12*f**4 + 0*f**6. Find the second derivative of i(j) wrt j.\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 12 + 22 = 0. Suppose 13 = -h*u + 3*c, 5*c = -0*u - u + 3. Let b = -6 - -5. What is the nearest to -1\/3 in u, b, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-3)*17*(-12)\/(-612)*-19.\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 3 - (1 - (-5 + 3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.244 + 0.55?\nAnswer: 0.306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 - 2. Give h(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 310 and 94426.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -23*g**3 + 11*g**2 + 17*g - 17. Let n(o) = 8*o**3 - 4*o**2 - 6*o + 6. Suppose 10*x = 14*x - 24. Give x*v(l) + 17*n(l).\nAnswer: -2*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.05 - 0.05. Let l = -0.6 + 0.566. Let w = l + -0.066. Which is the closest to w? (a) o (b) -2\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + 0 + -6 - -10. What is the greatest common divisor of 66 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 + 22. Suppose -m - 3*m + 76 = o. Let q = 52 - m. Calculate the highest common divisor of q and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/3)\/(-2))\/((-3)\/6)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 264 and 286.\nAnswer: 3432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 87 + 331*n**2 - 288*n**2 - 88 + 541*n**2 in the form u + t*n + v*n**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3426139*z + 6631646 with respect to z.\nAnswer: 3426139","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 8:32 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -18789, -37547, -56303, -75057?\n\"Answer: y**2 - 18761*y - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a century in months?\nAnswer: 22200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 4*x**2 + 7*x + 1. Let j(t) = -t**3 - 5*t**2 - 6*t - 2. Let m(h) = -3*j(h) - 2*w(h). Suppose -3*o = -0*o + 9. Is m(o) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 756984?\nAnswer: 2, 3, 31541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-22)\/(-6))\/(-11))\/(11\/(-6))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30037*m - 62223.\nAnswer: -30037","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.212+-0.015\nAnswer: -0.227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 + 48. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 208992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8329121 is divided by 49?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -78485*v + 78487*v. Solve 0 = 6*g + 21 + v for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-2025)\/(-30))\/27)\/((-390)\/104)*-33\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 919.5407 weeks to minutes.\nAnswer: 9268970.256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35\/19 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8640?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 361429 is divided by 2004?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 62 and 4?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 6, -14*i - o = -9*i + 8567. Let h = i - -22290\/13. Find the common denominator of h and -57\/130.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 191 and 9741.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5360 and 169715020?\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4*m + 4*i = -4, 0 = 5*m + 3*i - 10. Suppose -c - 2 = m*g - 6, 2*g + 8 = -4*c. Let l(n) = n**2 + 2*n - 2. Calculate l(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*x = 5*u - 705, -31*x - 29*x - 31*x - 93 = -95*x - u for x.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -362 + 368. Suppose -r = r - 30. What is the highest common divisor of c and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -4*n**3 - 2120*n**2 - 16699*n + 65. Calculate l(-8).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(3\/4)\/x)**34\/((x*x*x*x**(-2\/7)*x)\/(x*x**(-6\/11))))**18 assuming x is positive.\nAnswer: x**(-16299\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-145 + 141)*6\/48*4*3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.42 times 245020?\nAnswer: -2308088.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -87, -92, -95, -96, -95?\n\"Answer: n**2 - 8*n - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5110 and 424?\nAnswer: 1083320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = y + 5. Let x be 3 + y*266\/89. Let b = x + 159\/1691. Sort 3, 1\/3, b in descending order.\nAnswer: 3, 1\/3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -20. What is the units digit of ((-4)\/r)\/(4\/(-84))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 7*f**3 + 49*f**2 + 175*f + 12. Give h(-4).\nAnswer: -352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -94?\nAnswer: -94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 6*h**2. Let w(o) = 4*o**3 - 32*o**2. Let k(g) = -16*j(g) + 3*w(g). Calculate k(-2).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*x + 8*x - 13*x)*(2 - 4 + 3).\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/432 and 75\/14?\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 484 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1029, 1314, 1599, 1884?\n\"Answer: 285*k + 744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1129\/14 - 157\/2. Let n be (-1)\/13*(-4)\/(-106). Let h = n + 20684\/4823. Calculate the common denominator of h and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + (-17 + 28 - 23) + (2 - -8).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-296)\/(-37) + -1 + -5. Let s be (1\/(-3))\/(2\/(-18)). What is the nearest to d in 5, s, -0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.46 - -3?\nAnswer: 2.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of l**2\/2 + 3*l - 14. Let h be (2 + -1)*9\/3. Determine k(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 2*z**2 + 6*z + 53. Determine l(7).\nAnswer: 340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from zkzkzzkzkkzzkkzz.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) - (sqrt(1377) - 1*sqrt(1377)) - (-5*sqrt(51)\/sqrt(3))**2)*-2.\nAnswer: -18*sqrt(17) + 850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 75*o - 652. What are the prime factors of m(99)?\nAnswer: 13, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -3*s**2 - s - 1. Let c be 2*(-6)\/90 - 304\/(-30). Let j = 12 + -6. Let y = c - j. Let d(q) = -10*q**2 - 4*q - 4. What is y*d(u) - 14*n(u)?\nAnswer: 2*u**2 - 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-448)\/32)\/(-2*1\/(-2))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -398 - -416. Solve d - 3 = 3*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -70277 at most 0.0928?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(19) + (sqrt(931) - sqrt(931)*-3) + sqrt(931) - sqrt(190)\/(sqrt(20)\/sqrt(2))).\nAnswer: -5 + 35*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 147 = -2*q + 3*m, m = -4*q + 206. List the prime factors of q.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1438784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 7, -9, 4, -6297, 3 in ascending order.\nAnswer: -6297, -9, 1, 3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000120089 to 6 decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20981*l - 2741*l - 4144*l - 55609*l - 84026*l.\nAnswer: -125539*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11846579659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5685 - 5678. Solve 3*u + 5*j - c = 0, -u + 19 = 4*u + j for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a week in minutes?\nAnswer: 1008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29 + 21)\/(2\/1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -34491 + f + 41*f**4 - f**3 + 34491 in the form x + b*f + w*f**3 + v*f**2 + k*f**4 and give k.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) 0.2 (b) -0.2 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(r**(-1)*r)\/r)\/(r\/r**2))\/(r**(9\/4)\/(r**(-2\/29)*r)) assuming r is positive.\nAnswer: r**(-37\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1631188 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96138?\nAnswer: 2, 3, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3\/3 - 2636*x**2\/3 + 144320*x + 145200.\nAnswer: 4*(x - 330)**2*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 563119080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 1045 divide 147742100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/(-72)*(-840)\/(-175).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3547?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -226 - -255. Solve j*v + 8 = 21*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and 1917126.\nAnswer: 1917125.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2086 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - ((-4 - 3) + -1). Let y = o - 4. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -511520 + -2576?\nAnswer: -514316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -172 and -29?\nAnswer: 4988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -1611*i + 3597. Is k(-26) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.39734 to two decimal places.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -20001*t - 2. Let p be d(-2). Suppose 0 = j, 0*x + 5*j = -5*x + p. Suppose 5*h - x = h. Round h to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 300213 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y = 10*y - 6. Let g(p) = 13*p. Let l be g(1). Let c(i) = 7*i - l*i + 5*i. Calculate c(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zgi when three letters picked without replacement from zizxgzziizxxiziizxii?\nAnswer: 7\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + (36\/8 - (2 - 0)). Let j + 9\/4*z - 27\/4*z**2 = 0. Calculate z.\nAnswer: -1\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uud when three letters picked without replacement from uuuduuuduuuuuuud?\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178387 is divided by 2033.\nAnswer: 1516","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**2 + 598 - 598.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 times -125?\nAnswer: 6000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*(sqrt(4032)*-2 + sqrt(4032)))\/(((sqrt(729) - (sqrt(729) + -2*(sqrt(729)*1 + sqrt(729)) + sqrt(729))) + sqrt(729))*4).\nAnswer: 2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 104437 and 25521.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 5*b + 3. Let s be k(-6). Suppose -5*h = -8*h + s. Let j = 202 + -199. Is h bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1545102 (base 6) to base 11.\nAnswer: -62aaa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -1\/2530818747?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -671 (base 9) to base 2\nAnswer: -1000100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12052?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -149 - 3579620.82.\nAnswer: -3579769.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 170\/(-51) - 2\/3. Is -4 greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 11\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155 - 19*r - 160 + 315.\nAnswer: -19*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(5\/3))\/h**(-6\/11))**(-13)\/((h**(-1))**(-20)*(h**4*h)\/h**(-1\/6)) assuming h is positive.\nAnswer: h**(-519\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2114.36 rounded to the nearest ten?\nAnswer: -2110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**2 - 305 - 311 + 616.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y**0*y)*y)**20*y**2\/(y**3\/y))\/((y**(2\/7))**0\/(y**1*y)**(-16\/9)) assuming y is positive.\nAnswer: y**(328\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in -1\/7, 695, -1.8?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(11\/2 + -4) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 179633*l + 179770*l - l**2 - 359899*l as r*l**2 + k*l + o and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*j**3 - 191*j**3 - 135*j + 66*j + 69*j.\nAnswer: -263*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 7:32 PM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 0*m - 80 = 4*m, 0 = 2*i + 5*m + 78. Let b = i - -41. Calculate the common denominator of (166\/(-88))\/1 - b and -113\/6.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, t: 7}. What is prob of picking 3 t?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 45911 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a century in months?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 3*f + 162, 5*z + 198 + 73 = -4*f. Let q = z + 65. Solve 15*i - q = 10*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 1. Suppose -3*a + 3*m = -3, -2*a - 9 = -7*a + 3*m. Suppose a*r = h*r - 8. Solve j = -r*j - 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*w + 2*w. Let l = 0.2 + 0.8. Let f = 0.9 - l. Which is the biggest value? (a) w (b) -5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2893*l**2 + 18*l - 9. Let t(q) = 3*q**2. Give r(t(u)).\nAnswer: 26037*u**4 + 54*u**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 5*u - 2. Let h(a) = 19*a + 2814. Determine h(d) - 4*i(d).\nAnswer: -d + 2822","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a + 64 + 19*a**3 - 6*a**4 - a**4 - 32 - 34 to the form s*a**3 + x*a**4 + j*a**2 + o + t*a and give s.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2040 = 7*q - 634. Does 22 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (37\/(9472\/48))\/((-1)\/(-4)). Let r be (-6)\/(-2) + 26\/(-10). Which is the closest to r? (a) n (b) 3 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 1593.6.\nAnswer: 318.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3164 + -3157. Solve -24 = k*h + h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 346.001584 + -346. What is a rounded to four dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**4\/t*t**(1\/6))**23)**(-47) assuming t is positive.\nAnswer: t**(-20539\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4055 is divided by 980.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 26*g**3 - 2*g**2 + 10*g - 33. Calculate c(3).\nAnswer: 681","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (31 - 15)\/48*(-6)\/(-4). Let o(v) be the first derivative of l*v**2 + 1\/3*v**3 + 0*v - 1\/4*v**4 - 1\/5*v**5 - 19. What is w in o(w) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 145, 22, 20, -2, 0, 2.\nAnswer: -2, 0, 2, 20, 22, 145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 8*m + 1. Calculate z(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 184\/(-644) - (-1152)\/14 - -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/40 and -59\/70830.\nAnswer: 283320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 260 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 6. Let s(r) = 1. Let p(g) = -5*g**2 - g + 5. Let m(o) = c*s(o) - p(o). Let j(y) = -6*y**2 - 2*y + 4. Let u = 3 - -2. Give u*m(i) + 4*j(i).\nAnswer: i**2 - 3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {t: 6, c: 1, z: 2, n: 4}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6)\/15*-5 - -12?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -u - 18 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5315386 divided by 2\nAnswer: -2657693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1627553 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-298)\/1490)\/(-6*(-10)\/28200).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 s when three letters picked without replacement from {c: 4, s: 9, v: 6}.\nAnswer: 72\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**2 + 1105*q\/3 - 1090\/3.\nAnswer: -5*(q - 1)*(3*q - 218)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-17 - 4732\/(-322))\/(-7) and -17\/1081.\nAnswer: 7567","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 7*x**3 + 4*x + 2. Let p(z) = 13*z**3 + 9*z + 4. Let f = -7347 + 7358. Give f*k(j) - 6*p(j).\nAnswer: -j**3 - 10*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21198 - 6901. Calculate the remainder when j is divided by 55.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1288466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -21 (b) 3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 19987654.5 milliseconds?\nAnswer: 0.23133859375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 9 + 71. Suppose -4*d - 5*o + o = 8, 0 = -4*d - 5*o - 3. Let j = 23 + d. What is the greatest common factor of i and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -168*q - 42. Let j(o) = 167*o + 42. Let l(z) = -4*a(z) - 5*j(z). Let c = -12631 + 12620. Is l(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 198 = 3*q. Let r(j) = 15 - 4 - 7*j + q*j - 10. Calculate r(-1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -10*u**3 - 14*u**2 + 14. Let q(r) = -r**3 - r**2 + 1. Determine -3*o(s) + 42*q(s).\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 601.4 - 600.4. Let l = 8 + -8.2. Which is the closest to i? (a) l (b) -12 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -648 + 709. Suppose -35 - l = -24*j. Solve 2*u - u = j for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s**2 + 0*s**2 + 2*s**2)*(34*s - 142*s + 76*s) + 4*s**3 + s**3 - 3*s**3 to the form c*s**2 + u + i*s**3 + o*s and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 408*g**5 - g**3 + 408*g.\nAnswer: 8160*g**3 - 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -244, -478, -698, -898, -1072?\n\"Answer: x**3 + x**2 - 244*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 50 - 43. Let u(o) = 3*o - 6. Let k(d) = 3*d - 5. Let z(t) = q*k(t) - 6*u(t). Let n be z(0). Which is smaller: -1\/5 or n?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2492628668 to the power of 1\/2, to the nearest integer?\nAnswer: 49926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7410 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -101 - -5352?\nAnswer: 5251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m - 373 - 388 + 761. Let z(p) = 947*p. What is z(t(n))?\nAnswer: -947*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*((-130)\/(-42) + (-9)\/21)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**7)\/(u**(-11)*u))**(-45)*(u\/(u\/(u**(-2\/5)*u))*u\/(u*u**6)*u)\/(((u*u**5*u)\/u)\/u*u*u**(2\/11)) assuming u is positive.\nAnswer: u**(-10482\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**2\/13 - 101940*k\/13 + 3463648\/13 = 0.\nAnswer: 34, 50936","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - 9*i + 45. Give t(7).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8962179 to the nearest integer?\nAnswer: 2994","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37353260*s**6 - 9092569*s**2 - 2*s?\nAnswer: -4482391200*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**3 - 2*g**4 + 0*g**3)*(3*g + 2*g - 4*g) + (4*g + 2*g - 3*g)*(g**4 - 3*g**2 + 3*g**2).\nAnswer: g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -5, 7246, 1, -0.4, 83?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6206 + -11304. Round m to the nearest one thousand.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 625.3315 kilometers to micrometers.\nAnswer: 625331500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.501 * -191.178.\nAnswer: 95.780178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.2974613g?\nAnswer: 297461300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -108 - -104. What is the biggest value in h, 0.2, 4, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5867 divided by -2?\nAnswer: -5867\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -16*w**2 - 3*w - 4. Let j(s) = 11*s**2 + 2*s + 3. Let q(b) = -7*j(b) - 5*z(b). What is q(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of 9*u**6\/40 + u**5\/60 - u**4\/8 - 5*u**3\/6 + 2*u**2 - 10. What is the tens digit of w(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.01774 meters in kilometers?\nAnswer: 0.00801774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/332437 and -49\/5?\nAnswer: 1662185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 360001 (base 7) to base 4\nAnswer: 33310330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43.4 + -286.6. Let p = -326 - y. Which is the third smallest value? (a) 0.4 (b) -2 (c) p (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -3. Let p(v) = v**3 + 7*v**2 - 8*v - 52. Let n be p(-7). Is 0 + 13 + (o + n)\/(-2) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1377 and 6399.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 34*p**3 + 4*p**2 - 7*p - 5. Let r(f) = -f**2 + f + 1. Let y(i) = -i**3 - i. Let s(o) = r(o) + y(o). Let d(t) = 5*s(t) + z(t). Is d(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2462 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/(-26))\/((-17054)\/(-332553))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -684 + 2543 = 143*t for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 154601 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 - 40 = -6*u. Suppose -q + o = -o + u, -5 = -o. Let w(c) = -c**3 - 1. Let r(a) = -a**3 + 1. Let y(g) = -5*r(g) - 5*w(g). Calculate y(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nan when three letters picked without replacement from {n: 3, a: 7}?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -543 - -561. What is the tens digit of (724\/t*3)\/((-114)\/(-171))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -q - w, 1 = -w - 4. Let b = q + 54. Suppose -b + 8 = -l. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (592*p - 39*p + 238*p + 965*p)*(3*p - p - p + 0*p - 5*p + 4*p + (0*p + p - 2*p)*(-4 + 1 + 1) + p + 0 + 0 - 3*p + 6*p - 4*p).\nAnswer: 3512*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/11 and 83\/137236.\nAnswer: 137236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-25)\/(-60) - (-2)\/8. What is the nearest to s in -0.2, 1\/2, -1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 739\nAnswer: 9\/739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8487 times -0.5?\nAnswer: -0.42435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.9 in -0.02, 122, 0.3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + 3\/6 - (-7)\/(-21). Let b = -5\/9 - 1\/9. Put 0, i, b in increasing order.\nAnswer: b, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108771415 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 746790780 and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*y - 85290 + 32418. List the prime factors of y.\nAnswer: 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 52976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 90478 and 9614?\nAnswer: 22890934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -350604553 - -4?\nAnswer: -350604546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-16720)\/(-40))\/(1*11)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 1:15 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3013 (base 5) to base 10\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3181 divided by -2.\nAnswer: -3181\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3165614 (base 7) in base 2?\nAnswer: 1011110010010000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 378?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14231992 a multiple of 461?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -56497 + 56500. Let r be (-1)\/1 + (-11)\/(-8). What is the closest to 1 in -2, r, v, -4\/9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**4 + 5*l**4 - 3*l**4 + (-2*l**3 + 5*l**3 - 2*l**3)*(-1 - 3*l + 1) + (0*l**2 - l**2 + 3*l**2)*(3*l**2 + l**2 - 6*l**2) - 2*l**4 + 5*l**4 - 2*l**4.\nAnswer: -4*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -40 + 11*g + 5*g + 40 in the form o + a*g and give a.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - n - 28 = 28, x - 4*n = 29. Does 5 divide (-10)\/(-4)*(-84)\/(-70) + x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -7*l**4\/24 + 2*l**3\/3 - 6*l**2 - 236. Let f(t) be the second derivative of a(t). Determine f(-5).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence geyg when four letters picked without replacement from qgygbyecccybgcbe.\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3165 is divided by 2137?\nAnswer: 1028","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 12 = -2*b, 2*b - 4*k - 12 = -2*k. What is the second derivative of -y + 9*y + 29*y**2 - 40*y**b - 2 wrt y?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*d**2 - 17*d**2 + 64*d**2 - 19*d**2 - 19*d**2.\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 2\/35547, 0, 0.2, 5, -6\/23, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 4*z**2 + 81*z + 51. What are the prime factors of a(-24)?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/211*(27 + -26))\/(1 + 95\/(-38))?\nAnswer: 2\/211","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 69*o**2 + 147*o + 350. What is y(-71)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 552241.5 days to hours.\nAnswer: 13253796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 663*q - 210*q - 125 - 1513 = -366*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -13 + -57 + 60.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1958, 3\/13, -3\/8 in decreasing order.\nAnswer: 1958, 3\/13, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1639 by -6.\nAnswer: -1639\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from zzrzzajza?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1105 divided by -18.\nAnswer: -1105\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g*j*y + 83*g*y**3 - 7*g*y - 2*j*y**3 + 11*j*y + 7*j + 2 wrt y?\nAnswer: 498*g*y - 12*j*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 194 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**2\/7 - 520*p + 236600 = 0. Calculate p.\nAnswer: 910","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 436 - 434. Find the second derivative of 181*g - 45*g**4 - 204*g**4 + 19*g**2 + 3*g**2 - 22*g**q wrt g.\nAnswer: -2988*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6508 or 45?\nAnswer: 6508","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1637 (base 12) in base 11?\nAnswer: 1a86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 - 1) + (-9 - -17). Suppose -5*o = -9 - r. What is the derivative of o*f - 7 + 7 - 1 wrt f?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -583.\nAnswer: -4\/583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 181\/33810 and 163\/3234?\nAnswer: 371910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12509 is divided by 205.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31030 and 621670?\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 + 3\/2)*-2. Let h(y) = 3*y - 41. Let z be h(13). Let p be -2*(z - -3) - (-11 - -4). Solve -p*i = g + 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 320 and 83032.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 6*v + 240 = h + 234, -3*h - 5*v - 37 = 0 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*(a**(-3)*a)\/a)\/((a**8*a)\/a*a*a))\/(a**2)**(-13\/3))\/((a**(-4)\/a**(-6))\/((a\/(a**0\/a))\/(a\/(a**(1\/8)\/a)))) assuming a is positive.\nAnswer: a**(-125\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3830133 + 1623975235\/424. Let j = 32\/53 + b. Which is greater: j or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 167*v - 143. What is the remainder when 500 is divided by o(1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence by when two letters picked without replacement from {u: 1, b: 1, y: 1, n: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1844?\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ummmmmmm. What is prob of picking 3 m?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -876*f**3*n**3 + 44*f**2*n**3 - 203359*n**3 wrt f.\nAnswer: -2628*f**2*n**3 + 88*f*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4377, 17495, 39373, 70023, 109457, 157687, 214725, 280583?\n\"Answer: 2*u**3 + 4368*u**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1880*a = 1554*a - 19293 - 39085 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 11*m - 13. Is 31 a factor of y(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 2*t - 5*k, -2*t + 0*k - k + 13 = 0. Suppose t = 8*w - 321. Does 41 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of w**5\/20 - 5*w**4\/12 + 3*w**3\/2 - 3*w**2\/2 + 18*w. Let z be u(4). Is z > 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 467\/1401*-1*1*(-2)\/14.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 124410141 - 5?\nAnswer: 124410132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 5, 2015, 6?\nAnswer: 2015","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*h + 424 - 505*h**3 - 412 + 641*h**3)*(2*h - 3*h + 3*h) to the form n*h**2 + o*h + a + j*h**3 + z*h**4 and give z.\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*s**3 + 3*s**3 - 2*s**3)*(4*s - 3*s + 5*s) + 654538 - 373*s**4 - 654538 to the form q*s**3 + m*s**2 + k + t*s**4 + y*s and give t.\nAnswer: -367","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a. Let i(u) = 41*u**2 - 4*u + 13. Calculate i(v(x)).\nAnswer: 164*x**2 - 8*x + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1 + sqrt(2736) - sqrt(2736)) - (-2 + sqrt(2736)*-1 + sqrt(2736)))**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 19 = 4. Suppose 5*n = 22*u - 21*u - 141, 2*u = -p*n + 321. Are 156 and u equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -d**4\/12 - 11*d**3\/6 - 2*d**2 - 5*d. What is the units digit of t(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -17*s**3 - 2*s**2 + 2*s. Let c be k(-2). Let j be c\/10 + (-6)\/15. Solve 5*v - 3 - j = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1674 = 606*x - 544*x for x.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 f when four letters picked without replacement from iiiinirruiiruifufii?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 13*k - 6 = 15*k, -1 = 3*h + 2*k. Solve 11 = 2*r + 3*c, -r - 7 = -4*r + h*c for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 1426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4283412, 8566269, 12849140, 17132031, 21414948, 25697897?\n\"Answer: h**3 + h**2 + 4282847*h + 563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r**4 - 4*r**4 + 4*r**4)*(-12 + 100 + 48) to the form d*r**4 + q*r**3 + k*r + y*r**2 + n and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 31 + -20 - 39003\/663. Let c = -698\/17 - b. Let -24\/13*f**4 - 22\/13*f**3 + 16\/13 + c*f + 92\/13*f**2 = 0. Calculate f.\nAnswer: -2, -2\/3, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -7*q**3 + 2*q**2 + 3*q + 2. Let w be z(-2). Let t = -33 + w. Let a be -2 + t\/(6\/2). Is a less than 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 14*k + 27 - 30 - 8*k**2 - 8 in the form p*k**2 + u*k + r and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/2614 or -1?\nAnswer: 3\/2614","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.02931299 - 0.029071. What is j rounded to six decimal places?\nAnswer: 0.000242","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**3 + 55*o**2 + 5 - 5 - 121*o**2 + 58*o**2.\nAnswer: 2*o**3 - 8*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 10) to base 5\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 0*m - 3*m = -46, m + 38 = y. Suppose 3*f = -f + 4*j + y, j - 8 = -2*f. Let q(u) = 8 - 5*u - u + u**2 - u. What is q(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i**3 - 118*i**2 + 84*i + 53. Calculate w(-40).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in nineteen quarters of a centimeter?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/30)\/((-3)\/((-60)\/164)). Which is the third biggest value? (a) n (b) 3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7388690 to the power of 1\/4, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t + 1. Let b be x(-1). Suppose -2*u + p - 260 = b, -2*u + p - 524 = 2*u. Find the common denominator of ((-38)\/u)\/(3\/(-27)) and -125\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 4. Suppose 0 = -2*r - p*r. Suppose 7 = -r*l + l. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*((-14)\/(-15) - 150\/250).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -169\nAnswer: -2\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/9)\/i*i**4)\/(i**(-2\/7)\/i)**(-17))\/((i*i*i**1)**(-2)*(i**1*i)\/(i**0*i)) assuming i is positive.\nAnswer: i**(-859\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 2115174112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**2 - 2*l**2 - 3*l**3 - 22*l**2.\nAnswer: -3*l**3 - 24*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/3)\/1*4902\/(-172).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -8099*h - 413072. What is q(-51)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -705 smaller than -706?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -59, 5, -2 in decreasing order.\nAnswer: 5, -1, -2, -5, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1192 - 3*c**3 - 2*c**3 + 3*c**3 - 1192 + 0*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**0)**45)**(-23) assuming u is positive.\nAnswer: u**(-1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5731, 11460, 17189, 22918, 28647, 34376?\n\"Answer: 5729*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7486585?\nAnswer: 5, 1497317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x + 20*u + 22*u - 19 = -x + 41*u, 0 = u for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -249\/635 + -1\/127. Let x be 130\/2275 + (-1 - (-2)\/14). Let z(o) = 2*o + 4. Let j be z(-4). What is the closest to 0.1 in x, j, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -328, -317, -292, -247, -176, -73?\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3908689?\nAnswer: 23, 169943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -763611423?\nAnswer: 763611425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -120 + -5. Let l = 41 - x. Let y = -21 + l. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250*t - 136 + 1636 = 0 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(171) - (-2*sqrt(171) + sqrt(171)))*-3)\/(sqrt(1296)*-1*2) + -3.\nAnswer: -3 - sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10377230\/26197 + -6734\/17. Which is smaller: l or 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 208395264*o**2 - 6515*o + 1584?\nAnswer: 416790528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1858391474 to the nearest integer?\nAnswer: 1229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -17017343.01 + -4.4\nAnswer: -17017347.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1068878, 4275519, 9619922, 17102087, 26722014, 38479703, 52375154?\nAnswer: 68408367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1945 is divided by 194?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 10*h**2 + h - 10. Let u be w(10). Let n be 108\/14 + (-2)\/(-7) + u. Let a be ((-1)\/((n\/(-6))\/4))\/1. Sort a, -4, 6 in descending order.\nAnswer: 6, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 5*u + 18 + 5, -4*u = -4*t - 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(2\/47))\/(s**22\/s))**(1\/43))**50 assuming s is positive.\nAnswer: s**(-46900\/2021)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 71011280 divided by -2?\nAnswer: -35505640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/5)\/m*((m**(-5)*m)\/m*m)\/m)\/(m\/(m\/m**(-2)))**37 assuming m is positive.\nAnswer: m**(342\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -110 - -235. Let r = t + -75. What is the remainder when r is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c + 2. Let j(y) = 4*y - 7. Let a(g) = -2*j(g) - 7*l(g). Let k(p) be the second derivative of -p**4\/12 + p. Give k(a(m)).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of d**4\/6 + d. Let w(f) = 16*f**2. Determine n(w(o)).\nAnswer: 512*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (11 + -3 - (-1 + 4))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 111? (a) -4 (b) 5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of r**6\/180 + r**5\/180 - 3*r**2\/2 + 3*r. Let w(v) be the first derivative of s(v). What is q in w(q) = 0?\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 203*f - 160 - 212*f + 48*f**2 - 49*f**2 + 34 in the form m*f + s + b*f**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24502222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*a**2 + 125*a**2 + 59*a**2.\nAnswer: 220*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.018, -8, -0.4, 2\/9, -1\/16 in decreasing order.\nAnswer: 2\/9, 0.018, -1\/16, -0.4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 140*j**2 + 8*j + 8. Let p be 3 + (-1 - (6 + -3)). Let k be f(p). Calculate the highest common factor of 20 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/((-16)\/(-12))*6\/(-9). Suppose -l*a = -5*a. Factor 28*f**2 - 23*f**2 + 5*f**3 + a*f**3 - 5*f - 5.\nAnswer: 5*(f - 1)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12*(-56)\/1344)\/(((-6)\/(-2))\/3)*-38\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -14*h - 280. Is -4*1\/(-14) + (-7020)\/h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/18070 and -13\/18480.\nAnswer: 33393360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -4 + 2 - 16*v + 9. Let j(t) = -5*t + 2. Let o = -5019 - -5026. Determine o*j(z) - 2*w(z).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -2*b**4 - 334*b**3 + 15250*b**2 + 31494*b + 15912 = 0.\nAnswer: -204, -1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**3 + 15*d**3 + 3*d**3 + (-3*d + 7*d - 3*d + (4 - 2 + 0)*(-2*d + 3*d + 0*d) - d - 3 + 3 + 2*d - d - 2*d)*(-43 + 20*d**2 + 43).\nAnswer: 39*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(1\/4)*w*w\/(w*w**7*w)*w*w**(-3\/4)\/((w*(w\/(w**(-1\/10)*w))\/w)\/w)*(((w**3*w)\/w*w)**(-6\/19))**(-3\/10) assuming w is positive.\nAnswer: w**(-401\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -2*p**5\/15 + 66*p**4\/5 - 5722*p**3\/15 + 13726*p**2\/5 - 7308*p + 6480 = 0?\nAnswer: 2, 3, 4, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -24*v**2 - 48*v - 24. Let g(l) = l**3 - l**2 - 2*l - 1. Give 48*g(n) - 2*s(n).\nAnswer: 48*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 319*i + 2285. Determine g(-1).\nAnswer: 1966","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 71*t**3 + t. Let g be c(1). Suppose 3*w - w - 4 = 0. Suppose 0 = -w*h - 0*h + 16. Calculate the highest common divisor of h and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by -455.\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 6*x**2 - 72*x + 7. Let g be n(12). Suppose 3 = 2*o + g. Suppose 0 = 3*v + 4 + 5. Sort 3, v, o in descending order.\nAnswer: 3, o, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98255*f**2 - 4333*f + 4306*f - 98253*f**2.\nAnswer: 2*f**2 - 27*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 12*g + 27. Is b(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -3, -44, -886, 12 in increasing order.\nAnswer: -886, -44, -13, -3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (38\/(-10) + 5)\/(2\/10). Let i be ((-36)\/g - 9)*1\/(-1). What is the greatest common divisor of i and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**2 - 11*b - 25. Determine l(-6).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 y when four letters picked without replacement from {y: 6, g: 4, o: 1}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 148 - 0.02.\nAnswer: 147.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 10:44 AM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 92 + -7c42?\nAnswer: -7b90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -25212, -50433, -75648, -100857, -126060, -151257?\n\"Answer: 3*q**2 - 25230*q + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -104, 10\/7 in descending order.\nAnswer: 10\/7, -3, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1428 and -1.\nAnswer: -0.8572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -3*c - 14, r = 2*c + 2*r + 2. Let i be (2\/28)\/(c\/(-4)). Let f be (4\/(-10))\/((-6)\/(-10)). What is the closest to -1 in -0.4, i, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -254.41 and 33557.\nAnswer: 33302.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f**2 - 12*f**2 + 3 - 3 - 27*f.\nAnswer: -17*f**2 - 27*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15316 by 163.\nAnswer: -15316\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, h: 5, a: 1, u: 1, p: 2, s: 2}. What is prob of picking 2 p, 1 s, and 1 u?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -21\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*n = -11 + 24 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -180 + 327. Let f be -1 + -94 + 1 + -1. Let s = f + o. What is the highest common divisor of 13 and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32.17 - -32. Let j = v + -0.03. Let w = -1541.1 - -1540.8. Put 3, w, j in decreasing order.\nAnswer: 3, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -29\/151?\nAnswer: -29\/151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40 + 45. Suppose 5*a - 2*f - 20 = 0, 2*a + 2*f + 0 = -6. Put 3, a, y in descending order.\nAnswer: y, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three fifths of a meter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1064 and 1672.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -b**2*g*l - 17*b*g*l - 16*b*g + 2*b*l - 3*g*l - 9*g - 5*l + 4 wrt b.\nAnswer: -2*b*g*l - 17*g*l - 16*g + 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 7 + 5. Let q = -6 - f. Let u(a) = 2*a**2 + 1. Let g(p) = p**2 + p + 1. Let k(i) = g(i) - u(i). Determine k(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-100) - (-803)\/(-275). Is -20 < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*d - 16*d - 51896. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + x - 6. Give d(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 2.0059\nAnswer: -1.0059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/(-5))\/(((-192)\/1173168)\/(20\/6)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 - 10. Suppose -3*g = 2*g - 11*g. Suppose -u = -3*j - w + 22, g = 4*j + 5*w - 53. Is 5 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14023 + 14027. Let m(g) = 2*g**3 - 9*g**2 - 4*g + 35. Give m(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 609 is divided by 110.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -266, -270, -278, -290, -306?\n\"Answer: -2*t**2 + 2*t - 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-6)*42\/(-4). Let b(w) = -2*w**4 + 26*w**3 - 17*w**2 + 16*w. Let q(p) = p**4 - 12*p**3 + 9*p**2 - 8*p. Let i(m) = y*q(m) + 6*b(m). Factor i(t).\nAnswer: 2*t*(t - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -152*o + 18109*o**3 + 18097*o**3 + 64 + 108*o**2 - 36222*o**3 - 4*o**4.\nAnswer: -4*(o - 2)*(o - 1)**2*(o + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1041, -2080, -3109, -4128?\n\"Answer: 5*n**2 - 1054*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 27, 4\/7, 0.1, 11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 460 = 10*o - 6*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*c**3 - 14 + 14 + (-2*c**2 + 0*c**2 + 4*c**2)*(2*c + 1 - 1).\nAnswer: 13*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10376 is divided by 3177.\nAnswer: 845","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/(sqrt(196)*-4)*-2 + -2)*6 + 5.\nAnswer: -7 + 3*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1339115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 39*o + 21. Calculate q(-3).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of -k**4\/6 - 31*k**3\/3 - 1135*k**2. What is l(-12)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -92 - 66. What are the prime factors of r?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 + 4.1. Which is the nearest to 3\/4? (a) 5 (b) 2\/9 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -n**5\/60 - 6*n**2. Let y(k) be the second derivative of k**4\/12 + 153*k + 1. Give y(m(l)).\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -7*(-17)\/((-238)\/(-20))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 2*p + 2*p - 86, 0 = -5*h + 5*p - 195. Is h bigger than -35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 120 = -5*s. Suppose 6 = 5*c + o, 4*c + o - 5*o = s. What is the remainder when 4 + 0 - (c - 15) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 717441856?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1078, 2156, 3234, 4312?\nAnswer: 5390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5497 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - u - 2 + 2 + 5*u in the form r + s*u and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-5)*(-35)\/14. Let r(x) = -x**2 + 4*x. Let h be r(z). Suppose 2*q + 366 - 34 = 4*t, -4*t + q + 328 = h. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -447860, -1791463, -4030802, -7165877, -11196688, -16123235?\n\"Answer: -447868*k**2 + k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 87 minutes before 6:13 AM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*w - 7 - 6 - 132*w.\nAnswer: -112*w - 13","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is 181094 to the power of 1\/2, to the nearest integer?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39\/78)\/(3\/(-2))*-33?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -170*i - 175*i - 171*i + 538*i. Let v = -6 - -5. Give l(v).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 2)*(0*y - y + 0*y) - 6*y + 3*y + 0*y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 0.1, -22, 7231?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 106\/8 + 11\/(-44). Suppose -69 = o*f - 654. Does 7 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, -2\/5, -2 in decreasing order.\nAnswer: -2\/15, -2\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 7 = p. Sort p, -5, -1 in descending order.\nAnswer: -1, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1047\/(-19) - (-54 + -1)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 293.4 in 0, -0.25, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of 14*k**4 - 2*k**3\/3 + k**2\/2 + 186*k. Is v(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -69*z + 57*z - 48. Let g = 0.4 - 0.1. Let h = 0.2 - g. Put z, h, -4\/3 in ascending order.\nAnswer: z, -4\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3261352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -26, -32, -24, -2, 34, 84?\n\"Answer: 7*x**2 - 27*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -29*y**3 - y**2 + 2. Determine b(1).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 52*f**2 + 39*f - 14. Calculate the remainder when v(-5) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*k**3 - 248*k**2 - 3568*k + 8160 = 0. Calculate k.\nAnswer: -34, -30, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**2. Let f(y) = 0*y + 0*y - 228*y**2 + 260*y**2. Determine j(f(a)).\nAnswer: -2048*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -4*q**3 + 6*q**2 - 377*q + 2738. Determine o(7).\nAnswer: -979","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 10*t**2 + 36*t - 40. Let s(m) = 2*m**2 - m. Let q(r) = c(r) - 6*s(r). Factor q(a).\nAnswer: -2*(a - 20)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -123052.9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -59 divided by -44\nAnswer: 59\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2120*x. Let y be a(1). Let r = y + -1133. Let b = r + -334. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45*a**4*t**2 - 14*a**3*t**2 + 2*a**3 + 5*a**2*t**2 - 2087*t wrt a?\nAnswer: -1080*a*t**2 - 84*t**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of 3*c**8\/112 + c**7\/280 - 3*c**6\/80 + 33*c**2 + 2. Determine m so that p(m) = 0.\nAnswer: -3\/4, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*n**2 + 3*n**4 - 101*n**3 + 47*n**2 - 101*n**3 + 202*n**3 + 1 as o*n**4 + y*n**2 + r*n + m + q*n**3 and give y.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s + 30. Let y be p(-15). Let l(c) be the third derivative of 1\/36*c**4 + y + 0*c - 1\/180*c**5 + 0*c**3 + c**2. Find k, given that l(k) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.4, -0.02, -34\/5, 0.7?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 154487\/14 + -11094. Which is smaller: w or -58?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of l**4\/6 - 7*l**3\/6 + 9*l**2. Let f be c(1). Let h be 2 - (-1 - f) - -2. Solve h*v = -v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 4*l + 17, 4*l + 0*l + 20 = 0. Let y = 3 - d. Suppose y*b - 4*b = -26. Does 13 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*q + 9*q - 4*q)*((-3 + 4 + 1)*(0*q - 3*q + q) + q - q - 2*q) + (2 + 0 + 0)*(6 - 6 + 3*q**2).\nAnswer: 90*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -271\/6 + 131\/3. Sort 1\/7, u, 3, -75.\nAnswer: -75, u, 1\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 2*n**5 - 2 + (2 - 2*n - 2)*(3*n**4 - 2*n**4 + n**4) - 45598*n**2 + 45598*n**2 + 122*n**5.\nAnswer: 120*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-22)*a*a**(2\/9)\/a)\/((a**(-2\/61)\/a)\/a)**(-27) assuming a is positive.\nAnswer: a**(-41539\/549)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -17. Solve -6*k + 15 = -k + 2*m, -5*k + 15 = -s*m for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -252*l**2 - 1157*l**2 - 66*l**2 + (1 - 2*l - 1)*(2*l - 3*l + 0*l) in the form o + k*l**2 + y*l and give k.\nAnswer: -1473","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -2 (b) -0.3 (c) 0.2 (d) -64\/5 (e) -0.03 (f) -2\/3 (g) 9\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 1:27 AM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, g: 1, m: 1, z: 3, r: 2}. What is prob of picking 1 m and 1 g?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 6*t + 692 = 0. Suppose -3*r + 90 = 4*m, 5*r + 23 = 2*m + t. Is 16 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-18))\/(18\/(-72))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-3))\/((-2)\/3). Suppose -1 = 2*m - q. Solve -2*u - 3 = -m for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 54.59145 kilometers?\nAnswer: 5459145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 5*f. Let s be u(-6). Suppose 21*a - 8*a - 130 = 0. Solve -s*v + v + a = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 36 - 22 - 77*p)*(-2*p**3 + p**3 + 0*p**3).\nAnswer: 77*p**4 - p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 196 + -158. Let v = 7 + 9. Calculate the smallest common multiple of h and v.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000694175555 to seven decimal places.\nAnswer: -0.0000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + j + 24. What are the prime factors of w(0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyotyjoysyjyjyjyj. What is prob of sequence jj?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u + 4*r - 20, 3*u + 4*r - 18 = r for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 231 + -a?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*t + 2. Suppose v + 1 = -2*n + 4*n, -4*v - t = 4*n. Factor -l**2 + 4*l + n*l - 5*l**2 + 2*l**3.\nAnswer: 2*l*(l - 2)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -1. Suppose 0 = -73*z + 77*z + 136. Let i be ((-5)\/z)\/(11\/22). Which is smaller: i or o?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22488980 to the power of 1\/3, to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 divided by 9835.\nAnswer: 10\/1967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/15 + 437\/20. Let k = -2039\/92 + t. Which is the second smallest value? (a) 0.3 (b) 0 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -48 + 10?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**2 - 3*k - 2*k**3 + 2*k**3 + 2*k**3. Suppose -96*y - 14 = -103*y. What is the units digit of m(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 82623850.1 to the nearest one hundred thousand.\nAnswer: 82600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.08? (a) -0.09 (b) -4 (c) 100 (d) -356 (e) 0.1 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (-6 + 19) - (4 + 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6627?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -5*o + 22, o - 6 = s + s. Suppose -14*k + 18*k = -32. What is the common denominator of 5 and 130\/k - (s - -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 7*t - 19. What is n(-8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*w + 68 = -12. Suppose -p - r = 3*p - 236240, 295300 = w*p + r. What is p rounded to the nearest one thousand?\nAnswer: 59000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5548.\nAnswer: 2, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 3*w = 6, -5*h + w = -6 + 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 126.5373 meters in millimeters?\nAnswer: 126537.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 37967655 to the power of 1\/2, to the nearest integer?\nAnswer: 6162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 2)*(-2 - 15 - 11)*(-40*i + 16*i - 11*i - 1).\nAnswer: 980*i + 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -17*f + 11. Let c be g(-4). Suppose 3*d - c = -13. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1260.949186 to 1 dp.\nAnswer: 1260.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 134 + 104 = 0. Let x be (-2)\/8 + 171\/12. Let r = x - 10. Calculate the highest common divisor of p and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40382500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 645\/(-8170)*((-6)\/(-8))\/(2*(-9)\/16)?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 + 2*x**2 - 2*x**2)*(-2*x**2 + 0*x**2 + 3*x**2) - 12*x**3 + 12*x**3 + 6*x**4.\nAnswer: 7*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -11*u + 1. Give a(2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3*g + 45 = 0, 59 = 4*d + 7*g - 2*g. Let o(j) = -5*j**2 - d + 16. Let b(r) = r. Determine b(o(u)).\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2857, 4, 1.\nAnswer: -4, 1, 4, 2857","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y**3 - 3*y**3 + 3*y**3)*(-6 - 131 - 33) to j + v*y**3 + k*y**2 + q*y and give v.\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*l - 4*l + 3*l)*(-304 + 31*l + 304)*(l + 0*l + l) to d*l**3 + u + r*l + g*l**2 and give d.\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -19 (c) 0.2 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-116)\/((-580)\/(-5))*14\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 223 - 158. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11 and 33.\nAnswer: -363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33 - 49. Let z = v + 24. Is 132\/(-16)*z\/(-3) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + f - 3*u + 3, -8 = -4*f + u. Suppose -6 = -f*x - 0. Solve -k - x = -0*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-33)\/(-11) - 25\/9. What is the closest to 0.5 in d, 5, 1\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yydrd. What is prob of picking 1 y and 1 r?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 56?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4861 - -34019\/7. Let v(w) = w + 2. Let j be v(-2). Let p be j\/(-1 + -2 + 2). Which is bigger: r or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a. Let c be 2\/(-1) + 4 - 16. Let d(y) = 32*y - 5*y**2 - 5 + 5 - 37*y. Let t(o) = -16*o**2 - 14*o. Let w(p) = c*d(p) + 5*t(p). Determine x(w(i)).\nAnswer: -20*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 5*g - 103403, -35*g = -30*g - 5*x - 103430. Calculate the remainder when g is divided by 94.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 832 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1233, 1101, 879, 567, 165, -327, -909?\nAnswer: -1581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3701, 3707, 3713, 3719?\nAnswer: 3725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1746, -1764, -1794, -1836?\nAnswer: -1890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence le when two letters picked without replacement from uuffffleue?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2*g**3\/15 + 26304*g**2\/5 = 0.\nAnswer: 0, 39456","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.392 in -7, 0.1, 41?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6043102 or 24172405\/4?\nAnswer: 24172405\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - (17 - 15)) + 12 + (0 - -1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214*v + 341 = 555*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -x - 7, 46*j = 44*j - 5*x - 9 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 9*w = -6*x + 157, 356 = 2*w + 5*x. What is the remainder when 619 is divided by w?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 41\/(-82) - 3\/2. Let x be (-1 - l)*(-6 + (-225)\/(-36)). Which is the second smallest value? (a) 5 (b) -0.43 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**2 - 4*g + 4. Let a(p) = -p**2 - 3*p + 3. Let f(k) = 4*a(k) - 3*z(k). Let i(w) be the second derivative of w**4\/3 + 5*w + 10. Determine f(i(s)).\nAnswer: 32*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-3\/11)*x*x\/(x*x\/(x**(11\/2)*x))*x assuming x is positive.\nAnswer: x**(159\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 3*k + 72 = 0, l = -0*k + 2*k + 12. Calculate the remainder when l is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25 - 15) + (-5 - -2 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -95 + 90.89. Let s = c + 0.11. Let k = s + 3.944. What is k rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3507 + -3504. Solve 6*m = s*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192*a + 44 + 68 + 191*a - 13 - 2.\nAnswer: -a + 97","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nskokskskkskkkkss. Give prob of picking 1 s and 1 o.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30689?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -341*o - 22*o - 13*o - 5*o + 2*o + 2*o - 6*o - o + 5*o + (3 - 3 + 2*o)*(3 - 2 - 3) + o - 4*o + o.\nAnswer: -385*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 35 = -5*i, -116*z = -118*z - 4*i + 6 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6636)\/8848)\/(10\/(-4))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110101000000101000100011 (base 2) in base 7?\nAnswer: -226054532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51685100 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + t**2 - 111*t - 1. Let p be w(-11). Suppose p*c - 15*c - 21732 = -h, -2*h - 2*c + 43452 = 0. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 7\/9 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1657 - 1665. What is the smallest value in y, 3\/7, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1072 and 402.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 10*w**2 + 14*w + 90. Determine t(12).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1143 - -480?\nAnswer: -663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lffgeaa. Give prob of sequence efgl.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + 1)*3 + sqrt(637) + sqrt(637)*-2)*1.\nAnswer: -4*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + -1)\/(2\/10). Let y be (-1 - 0)\/(z\/10). Calculate the highest common divisor of y and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 + 5*n - 5. Let t be o(-6). Let h = 5 - t. Solve 2*i - 9 = i + 2*p, -2*i = 3*p - h for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 138 + -96 + -52 + (-1 - 11) + -1?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3352\/(-53760) - (-8)\/140. Which is smaller: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/325 and 23\/650?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 + 2*c - 2*c)*(8 - 8 - 2*c**2).\nAnswer: 4*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 - (2 - 41) - -15?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*m - 154 = -2*l, -3*l - 28700*m - 25 = -28705*m for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2278 and 7425208?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-9))\/(-38 - -41)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 51686*y. Let d(j) = 25*j - 58. Calculate d(a(w)).\nAnswer: 1292150*w - 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(700)*-3*2)**2.\nAnswer: -50400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5095 * 26.6\nAnswer: -135527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -7a0?\nAnswer: 7a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 252\/54*(-36)\/(-14). Suppose h = 42*c - 37*c + 20, -5*h = 3*c + x. Solve 2*m + 0*m + 4*g - 2 = h, 4*m = -2*g - 8 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.165615 days to minutes.\nAnswer: 10318.4856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.1480157 + 2.23602. Let v = -2.488 + 2.4. Let s = y + v. What is s rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 1)*(1 + i - 1 + (3*i - 2*i - 2*i)*(2 + 3 - 6)).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11490a0 (base 13) to base 11.\nAnswer: 301221a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 490932 is divided by 465?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12544438.15 - -12544332.1499914. Let w = n - -106. What is w rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -11*d - 6 - 17 + 0*d. Let p(z) be the first derivative of -2*z**2 - 8*z - 59. Let u = 5 + -22. Calculate u*p(b) + 6*w(b).\nAnswer: 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -1000656435?\nAnswer: -1000656440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9.452 + -8.752. What is the nearest to 7 in 0, -1\/2, 5, j?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -80 + -175. Let u = 347 + y. What is the remainder when u is divided by 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 65, 131, 195, 257, 317, 375?\n\"Answer: -p**2 + 69*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -136206368 rounded to the nearest 10000?\nAnswer: -136210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3 + 7*r**2 + 24*r**2 in the form g + n*r + m*r**2 and give m.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 3 + -2 + (1 - 13).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 132462 and 1089.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -298, -10, 2\/11, -0.08, 6, 0.4?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 57?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 1969109 and 1969103 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is -206552 (base 8) in base 14?\nAnswer: -1b1c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6366 divided by 3.\nAnswer: -2122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 132333 (base 4) in base 9?\nAnswer: 2643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, z: 2, s: 7, h: 1, k: 2, y: 1}. What is prob of sequence zz?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111752?\nAnswer: 2, 61, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -5 + 12*y**3 + 7 - 11*y**2 + 9 - 3*y**3 + y - 2*y. Let o(t) = 10*t**3 - 10*t**2 + 10. Let q(l) = -5*b(l) + 4*o(l). Find u, given that q(u) = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 9*i + 1. Let l be t(-1). Let u(x) = x**3 + 15*x**2 + 18*x + 11. Let p be u(l). Suppose -k = -8*k + p. What is the highest common factor of k and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15.8 * 0.15\nAnswer: 2.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2*m = -m + 5863, -4*q - 4*m = -5848. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 4*j - 2098, -7*j + 280 + 3395 = 3*o. What is the least common multiple of j and 56?\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2159, -2148, -2147, -2162, -2199, -2264?\n\"Answer: -w**3 + w**2 + 15*w - 2174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q*q*q\/q**1)*q)\/q*q)**40\/(q**1)**42 assuming q is positive.\nAnswer: q**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 5*k - 4*n - 2 = 0, 1 = -n for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -49 + 22?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 38, 65, 8\/33, 0.03?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12938 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-190)\/(-76) + (-27)\/(-2). Calculate the lowest common multiple of 4 + (-68)\/r + (-292)\/(-16) and 62.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*h - 25*h - 3 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: What is the remainder when 2066 is divided by 159?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 10, t: 4, f: 2}. What is prob of picking 3 z and 1 f?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of 5\/6*s**3 + 8*s + 0*s**2 + 0. Let l(f) = 4*f**2. What is l(z(t))?\nAnswer: 100*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 - 0.1. Let y(m) = 33*m + 112 + 3 - 25 - 2*m**2 - 90*m. Let b be y(-30). What is the second biggest value in -0.5, f, -0.8, b?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooql when four letters picked without replacement from jlomjjq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**5\/7 + 216*o**4\/7 - 3308*o**3\/7 + 1512*o**2 - 7488*o\/7 = 0. What is o?\nAnswer: 0, 1, 3, 24, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -14, 1\/4, -3, -4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*p - 21 + 21)*(p - 2*p - 2*p).\nAnswer: 21*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000556 rounded to 6 dps?\nAnswer: 0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a centimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n + 3. Let w(z) = -z + 1. Let a(b) = -o(b) - 5*w(b). Let p(t) = 15*t - 17. Calculate 13*a(s) - 6*p(s).\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6007 is divided by 732.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2765 or 2784?\nAnswer: 2784","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 5*j**2 - 5*j + 3. Let h be k(4). Let m = -19 - -18.9. Let g = -41\/39 + 5\/13. What is the nearest to h in 2, m, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18\/(-81) + 23584\/18 - 0. Round r to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 33937749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*m - 0*m. Solve 0 = m*u - u - 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 4*c + 10. Let h(z) = -2*z - 6. Let d(j) = -3*b(j) - 5*h(j). Let x(g) = -76*g**2. Give d(x(v)).\nAnswer: 152*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3*x = 2*b + 12, -3*b - 5*x + 20 = 0. Suppose 68 = -b*d + 13. Let c = 16 + d. Solve c*s = 5 + 15 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 903.\nAnswer: 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = -2690 - 3309. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-4) - 1125\/(-6). Suppose 5*u - 4*z - z = 325, 3*u = -5*z + x. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/6 - 185*t**2 - 68450*t - 25326500\/3.\nAnswer: -(t + 370)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14176864 a multiple of 189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 - 10. Let t(q) = -8*q - 4 + 4 + q**2 + f*q. What is the units digit of t(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 4*z - 136 = 0, -3*z - 166 + 28 = -4*f. Calculate the highest common factor of f and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54370?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21\/49 - (-34434)\/63 is divided by 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 181*h*m*r**2*u + h*m - h*r**2*u - 2*m*r**2 - 65*m*u - u with respect to h.\nAnswer: 181*m*r**2*u + m - r**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -1.013, -433, 0.03.\nAnswer: -433, -1.013, -1\/4, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 270, 611, 1022, 1503, 2054, 2675, 3366?\n\"Answer: 35*f**2 + 236*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -68 - -103. Calculate the highest common divisor of 14 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - 3*u**2. Let m be n(3). Suppose -15 = 4*q - 4*v + 3*v, 0 = -2*q - v - 15. Put m, q, 5 in decreasing order.\nAnswer: 5, m, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -132.5 - -21.5. Let y = c + 111.6. Which is greater: 3 or y?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (1 + -2*(0 + sqrt(128))*-4*3*-2)*3)**2.\nAnswer: -2304*sqrt(2) + 2654209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -139*((-1)\/2)\/1. Let v = c + -73. Find the common denominator of v and -117\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*c - 4*c - 34*c + 26*c.\nAnswer: -31*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 0)\/((5\/45)\/1). Suppose 5*z - a = 1. What is the greatest common divisor of 5 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 87\/203*(-7)\/(-45)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 64\/9*q**2 + 1444\/9 + 608\/9*q = 0?\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o**3 + 170140 + 170135 + 3*o - 340275.\nAnswer: 6*o**3 + 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5021?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 95*h - 1717. Give k(17).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = 4*p - 18*p - 16. What is the highest common factor of 30 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 138 + -133. Solve 4*h - j = -3*o, o - h - 2*h = 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -193, -376, -581, -820, -1105, -1448?\n\"Answer: -2*h**3 + h**2 - 172*h - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2544046\/11 + -232599. Let i = -1318 - z. What is the common denominator of -5\/2 and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*x**4 - 443657*x**3 - 364224*x**2 - 7*x wrt x.\nAnswer: -48*x - 2661942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-12)\/(-8))\/3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2048) + 1*sqrt(2048) + sqrt(2048))*-6)**2.\nAnswer: 663552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pww when three letters picked without replacement from {c: 2, w: 3, z: 2, p: 8}.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*k + 18*k + 38. Is -1 + k\/(57\/4086) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7135\/(-4281)*(-1410)\/(-20)*4\/(-10).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 8*q**2 - 174*q + 1173. Let l be b(7). Solve 4*d - 2*f = -3*f - 13, 5*f + 1 = -l*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 56039147 - 396757161719\/7080. Let t = z - -1\/472. What is the closest to 101 in t, -2, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -204*c*t**3 + c*t - 3*c*v - 5*t**3*v - 6*t**3 - 48*v with respect to v.\nAnswer: -3*c - 5*t**3 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.8, 744, 14.73.\nAnswer: 0.8, 14.73, 744","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/(-3)*20\/(-6). Let b be (1 + 1)*35\/k. Let m be (16 - 19) + (0 - b). Solve m*f = 2 + 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + (-2)\/(-5) + 24\/(-60). What is the remainder when 17 is divided by 2\/w - (-8)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6*(45\/(-6))\/3. Suppose 0 = 2*d + s - 5. Let u = -12 + 8. Put u, 0, d in descending order.\nAnswer: 0, u, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 164760 and 597255?\nAnswer: 4778040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5212, -11417, -17622, -23827?\nAnswer: -30032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2 + 808660*f - 2425944.\nAnswer: -4*(f - 202162)*(f - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*l = 4 - 1, 0 = 2*o - 3*l - 3. Suppose 2*r = o*r - 2420. Suppose -239 = -2*q - f, 3*f = 5*q - 2*f - r. Is q a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71653.\nAnswer: 79, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.86 - 86.36. Let q = -86 - i. Which is the smallest value? (a) 2 (b) 1\/9 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/658 and 87\/142786?\nAnswer: 142786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 288454.\nAnswer: 2, 233, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -62*j**3 - 3*j - 3. Let y be a(-1). Let l(f) = f - 66 + 4*f - 7*f - f**2 + y. Let g(t) = -t**2 - t - 3. Determine -3*g(b) + 2*l(b).\nAnswer: b**2 - b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -657306 or -657897?\nAnswer: -657306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -7, -54\/17, 4\/3?\nAnswer: -54\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38873 - -38874. Is 3253 less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, p: 6, l: 4}. Give prob of picking 1 p and 2 g.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from juejujuwuurg. What is prob of sequence jer?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of -t**3\/6 + 2*t**2 - t - 102. Give f(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-47)\/(-188) - (-50)\/(-8). Let x be (-45)\/(-6)*8\/3. Suppose 2*s = -2*s + x. Put s, 4, n in ascending order.\nAnswer: n, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) 1\/4 (c) -4194 (d) -54 (e) -0.1 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - -4 - -12)*(-47 + 45). Which is bigger: u or -29?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + 157. Let a = w + -163. Solve -s - a*o - 23 + 7 = 0, 5*o = -3*s - 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -8*g - 15. Let r(y) = y + 1. Let j(t) = k(t) + 5*r(t). Let x be j(-8). Let f = x - 2. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -51 - 0?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1360993 and 3063?\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5*-2*sqrt(4500)*-2)\/((6*sqrt(9)*-1 + sqrt(36)\/(1*sqrt(4)))*-2).\nAnswer: 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 155\/408 and -89\/20604?\nAnswer: 41208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + -13. Let v = i - -19. Suppose -180 = -2*n - v*n. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 569247*a - 3415503. Give y(6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 57*c + 3. Let z(q) = 286*q + 14. Calculate -28*x(v) + 6*z(v).\nAnswer: 120*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49.68397 minutes to seconds.\nAnswer: 2981.0382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -9*k - 126. Let h be k*((-192)\/9)\/8. Calculate the highest common divisor of h and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a microsecond in nanoseconds?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 214*m**2 - 5180*m - 2837. Give t(236).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8599 = -899*f + 46357 for f.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -4*i**5 - 8*i**4 + 12*i**3 + 32*i**2 + 16*i = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 179*y - 178*y. What is the third derivative of -304*t**2 + 309*t**2 - y*t**3 - 16*t**3 wrt t?\nAnswer: -342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*h - 24. Suppose 2*r = h + 2, 2*r = 5*n - 186. What is the remainder when n is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 22992 = -3*a + 77039. Is 18 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y*y\/(y\/(y\/(y*(y\/y**(-7))\/y)*y)))\/y*y)\/(y**12*y))**42 assuming y is positive.\nAnswer: y**(-714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 22*j - 30*j. What is the remainder when 75 is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**2 - 67229630*s + 1129955787484225 = 0. What is s?\nAnswer: 33614815","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (((-48)\/128)\/((-42)\/(-28)))\/((-34)\/(-48))\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a centimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 5*q - 46 = 0, -26 = -4*r + 2*r - q. Suppose -145 = 2*w - 3*y, 0*w = -w - 2*y - 76. Let n be (100\/(-125))\/(1 + w\/70). Is r greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - x**2 - 3)*(3 + 4 - 4)*(-2*x + 0 + 0) + 29*x**3 - 2*x**3 - 9*x**3.\nAnswer: 24*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 26?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 191.4319 tonnes in nanograms?\nAnswer: 191431900000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2317, 3, 2, -2, 157 in decreasing order.\nAnswer: 157, 3, 2, -2, -2317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(99)*-4*-2)\/(-1*sqrt(576) + -1*sqrt(27)\/sqrt(3)).\nAnswer: -8*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**2 + 2*t**2 + 4*t**2. Let q(d) = 4*d**2. Calculate a(q(p)).\nAnswer: 64*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 8475188*v**2 + 24374*v - 12187. Let t(k) = -3477*k**2 - 10*k + 5. Calculate -12187*t(l) - 5*y(l).\nAnswer: -1741*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ncrcqzs. Give prob of sequence zcq.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -158 + 329. Suppose -2*h = -6, -h - g = -3*w + h. List the prime factors of w.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 372 = 7*t + 106. Let s = -35 + t. Suppose 0 = -4*q - o + 203, -3*q = 2*q + s*o - 259. Is q a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -7. What is the remainder when (m\/(-4))\/(21\/(-448)) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 20 = -4. Let p be (-1)\/(-4) - 18\/i. List the prime factors of (14 - 8)\/((-3)\/p).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1935 and 6018710?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p**3 - 6*p**2 - 18*p - 6. Let b(k) = -20*k**3 - 59*k**2 - 178*k - 58. Give 3*b(w) - 29*t(w).\nAnswer: -2*w**3 - 3*w**2 - 12*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 12:46 AM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 2:03 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2365 divided by 15\nAnswer: -473\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.47 and -1665862?\nAnswer: 1665863.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**3 + j**3 + 2*j**3 + (-3*j**2 - 2*j**2 + 4*j**2)*(-5*j + 5*j - 2*j) + 273*j**3 + 137047*j - 137047*j.\nAnswer: 276*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7345157 is divided by 1224168?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 63108 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.13998743 - -1.1399. What is y rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 6. Let d(f) = -u - 1 + 5 + 2*f - 5*f + 2*f**2. List the prime factors of d(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03724314 - -16?\nAnswer: 16.03724314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -10) + -4 + (-1 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27172009?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -0.4 (b) -160 (c) -1.1 (d) 2\/5 (e) -0.2 (f) 39\/10 (g) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n - 9. Let c = -1 + 10. Let t be g(c). Solve 3*h = 4*z - 1, t = 2*z - 4*z - 4 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(3\/2)\/k**1)\/(k**4\/k**(-5))*(k**(1\/5)\/k*k*k**(-5))**9 assuming k is positive.\nAnswer: k**(-517\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 729866634 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 1444024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of 12\/7*i + 2\/35*i**5 + i**2 - 186 - 3\/14*i**4 - 2\/7*i**3. Factor l(v).\nAnswer: 2*(v - 3)*(v - 2)*(v + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7345 by -13.\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 147.3096 to the nearest ten.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 3172 (c) 0.3 (d) 1 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5997)\/(-3374312)*4*(-4)\/(-6).\nAnswer: 1\/211","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -262*u - 1 - 15 + 0 + 14 + 10*u.\nAnswer: -252*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/225)\/(((3\/2)\/(87\/116))\/(-2))?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*n - 13702 = -2*n. Suppose 0 = 22*v + n - 1737. Let c = 37 + -22. Calculate the remainder when v is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a8f - 5f?\nAnswer: 1a30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/29)\/((w\/(w*w*w**(4\/17)))\/w))\/(w**(-10)\/(w\/w**8)) assuming w is positive.\nAnswer: w**(2547\/493)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2861 at least as big as 2860?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rdidrirtrtrrt. Give prob of sequence tr.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 35\/(-175) + (-1342)\/(-10). Let q = f - 131. Suppose b + s = -q*s + 237, -4*s = 4*b - 1008. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10721319 is divided by 145?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 5*c + 169. Let d be 6\/(-14) + 470\/(-14) + 1. Let v be y(d). Solve 0 = -3*j - 10 + v for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 123489294?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -15*p**3 + 35*p**2 + 5. Let j(l) = 23*l**3 - 52*l**2 - 9. Calculate -8*i(s) - 5*j(s).\nAnswer: 5*s**3 - 20*s**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 156 by -50.\nAnswer: -78\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 + 2*p + 5 - 5)*(8*p - 7 + 7) + (-p**3 - 7*p**3 - p**3)*(-6 + 4 + 0)*(10 + 0 - 2).\nAnswer: 152*p**3 + 16*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 79*x + 1240000. Let j be n(0). What is j rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 4:36 AM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.5 to the nearest integer.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 5*o - 23, 4*o = d + 9 + 1. Suppose 0*w = 2*w - 4. What is the remainder when d is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 24. Let b be (-51)\/p + (-6)\/15. What is the units digit of 3*-1 + 1 + b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/7)\/y**3*(y*y**1)**(-16\/7))\/((y\/(y*y\/(y*y**1*y)))\/((y**(-2)\/y*y)\/y)*(y*y**(-1))**(-5\/14)) assuming y is positive.\nAnswer: y**(-90\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 336501 (base 7) in base 8?\nAnswer: 165030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 46 - 27 + 96*j - 25. What is the least common multiple of 90 and g(1)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-1) - -3) + 20 + 6 + -28. Let c(a) = a**3 + 3*a**2 - 10. Let t(j) = -j**3 - 2*j**2 + 9. Let o(l) = -2*c(l) - 3*t(l). Give o(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -117*k + 118*k - 4*g - g - 26, -4*g + 438 = 14*k for k.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 - -395\/11. Is r not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -115.8943 + 0.0943. Let o = -14.8 - b. Let k = o + -99. What is the nearest to -2\/5 in k, 5, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/140*((-180)\/(-6))\/(-6)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dyaysffyyffy. Give prob of picking 2 y.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7530151 - 7530151 - l**2 + 1096*l.\nAnswer: -l**2 + 1096*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 4*w = 116, -189*w = -187*w. What is the remainder when 156 is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2680 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: Solve -4*m - h = 17, 9720 = 5*h + 9705 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18972 - 7857. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 5.7, -0.2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 4:33 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 582234483 to the power of 1\/5, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70620168 divided by -2942507.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 2303925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -373051034.04574073 + 373051021. Let s = -12.879742 - o. Let q = s - 0.166. What is q rounded to seven decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -995128 divided by -248782?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 53017 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1765 a factor of 36690127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*k = 30*k. Let j(p) be the second derivative of 5*p + 0 + k*p**4 + 8\/3*p**3 + 2\/5*p**5 + 0*p**2. Find the second derivative of j(y) wrt y.\nAnswer: 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 3:34 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -9*z**2 - 2*z + 2. Let n be t(-2). Let o be (-20)\/(-6)*(-36)\/n. Solve o*i + 2*s + 14 = 0, -3*i - 2*i - 19 = 4*s for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 38*c - 4. Let t(a) = -160*a + 1119. Let n be t(7). Give m(n).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 2 (c) 1\/10 (d) 734\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 962228187 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4950 and 1260?\nAnswer: 69300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.7 - 6.7. What is the nearest to -0.1 in -0.3, 2, p?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**2\/8 - 12549*d\/8 - 12551\/4 = 0. What is d?\nAnswer: -2, 12551","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -x**5\/60 - 7*x**4\/24 - 2*x**3\/3 - 5*x**2. Let o be w(-4). Let v = 35 - 25. Solve -m = 5*s - v, -m + 4*s - o = 2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38299 is divided by 68.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w**2 + 94*w + 35. Let d be h(-31). Suppose 34 = 2*y - 126. Suppose 4*k - y = -0*k. Solve 4*q - c + d = k, 16 = 4*q + 4*c for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 + 4*z**2 - z**2)*(-88353 - 38*z + 88353 + z**3).\nAnswer: 5*z**5 - 190*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(45) - sqrt(90)\/sqrt(2)) + ((sqrt(720) + sqrt(720) + (sqrt(720) - ((sqrt(720) + 0 - sqrt(720)) + sqrt(720)))*-1 - sqrt(720)) + sqrt(720))**2.\nAnswer: 2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4*v = 7*a + 16, 20 = 5*v. Let o(f) = -f**3 + f**2 + 31. Is 19 a factor of o(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11161 + -11164. Let k(w) = 0 - 79*w - 13 - 11. What is the tens digit of k(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by -61834.\nAnswer: -11\/61834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -505 + 651. Does 8 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-7) + (-10)\/14. Suppose -7 = 4*h + 1. Let w be h + k + 2 + 4. Solve w*a + 0*a = -4*s, -2*s - 5*a = -14 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80415139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 29\/19 and 4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 9. Suppose 5*k + 4*o + 8 = 53, i*o = 3*k - 27. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.189675 years to millennia.\nAnswer: 0.000189675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 82 (b) 0.01 (c) -129\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5874487 (base 12) to base 14\nAnswer: 23a60ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2\/4*(-46)\/69\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -545bc2?\nAnswer: 545bbd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 82, -3, 2\/9?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 29*w - 4 = -31*w, 44 = -2*n - 5*w for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - 3)\/((-5)\/20). Suppose -3*l = l - s*d - 776, 3*l = -4*d + 610. List the prime factors of l.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -734710, -1469411, -2204114, -2938819?\n\"Answer: -r**2 - 734698*r - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 3*d = -1, 0 = -5*w - 5*d - 17754 + 17744 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-108*n**2 + 28*n**2 + 53*n**2)*(-3 + 0*n**2 - 3*n**2 + 2) - n**4 + 0*n**4 + 2*n**4 + n**4 + n**4 + 0*n**4.\nAnswer: 84*n**4 + 27*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 = 8*z - 818. Let f(j) = j**2 + 14*j + 5. Let c be f(-7). Let g = c + z. What are the prime factors of g?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128*o**3 - 129*o**3 + 500*o**3 - 124*o**3 - 127*o**3.\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a minute in milliseconds?\nAnswer: 82500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 395721055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.91 + -1.09. Let v = 2.6 + -0.6. Which is the second biggest value? (a) f (b) 3\/4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16520 + 13606 = 18*l - 23712. What is the highest common factor of 3 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*y**2 - 2*y - 5681 + 5681 + (-2 + 1 + 2)*(0 + 0 - 3*y**2) - 3*y + 3*y - y**2 in the form o*y + n*y**2 + j and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 281251081?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.05 + -0.05. Let l be ((-14)\/4)\/(((-12)\/(-40))\/((-120)\/350)). Which is the closest to 0.1? (a) -0.1 (b) 0.147 (c) m (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/48 and 66*-1*(2272\/(-144) - -16).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -156.7*-0.038265\nAnswer: 5.9961255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 199046 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/52981 - -83127185\/211924. Let v = j - 383. What is the common denominator of v and 10\/(-8)*231\/75?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 24 + -7 - 6 - 1*4. Let m(d) = -d**3 + 8*d**2 - 7*d + 8. Calculate m(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3020 + -8?\nAnswer: 3013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 14*u**2 + u + 8. Let n be k(-14). Let o = 26 + n. Does 15 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7534476 to the nearest integer?\nAnswer: 2745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 2*y - 6, q = 2*y + 2*y - 18. Suppose w + 7 = 3*l, l - 1 + 4 = -5*w. Suppose 3*i + o - l = 0, -q*o - 5 - 5 = -i. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35160*a**4 - 35*a**2 + 32*a - 4.\nAnswer: 843840*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 53\/11 + -2 + -3. Let i = -0.1 - 0.1. Let z = -0.2 + 1.2. Which is the closest to z? (a) w (b) i (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*n + 1245 = -9. Solve 38 + n = 30*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*h - 10*h**3 - 44*h + 28*h.\nAnswer: -10*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 109*q - 109*q - q**3 - 7*q**2 - 11*q**3 + 0*q**3 + 3*q**3 + (-q + 2*q + q)*(-q**2 + 3*q**2 - 8*q**2) to the form a*q**2 + b*q**3 + k + i*q and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -57272 and 4.\nAnswer: -57268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -3 + 72*m + 13*m - 35*m**3 + 33 - 80*m**2 = 0.\nAnswer: -3, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3957, 15765, 35443, 62991, 98409?\n\"Answer: 3935*m**2 + 3*m + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 238680 divided by -65.\nAnswer: -3672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 3*z - 4*z)*(-128 + 128 + 21*z).\nAnswer: -105*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11030414?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - 0)*(-1)\/51.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9\/370, -1\/3, -5, -59\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -4022*c**3\/3 + 915*c**2\/2 + 27*c + 32. What is the first derivative of v(g) wrt g?\nAnswer: -8044","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5675 - 5823) + (-1 - -52).\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from oeqoeeoo?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 17*a - 38. Let m(n) = n**3 + 10*n**2 - n + 9. Let q be m(-10). Let f be k(q). Solve f = -4*c - 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8787\/(-505))\/(2*3\/(-10))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.02149 and -4635662489?\nAnswer: 4635662488.97851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19\/(-114))\/((-230)\/(-69000)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + n**2 - 1. Let h(k) = 4*k**3 + 23*k**2 + 19*k. Let z(v) = h(v) - 3*y(v). Let x be z(-19). Solve w + x*p = -w - 8, 3*w + 2 = -2*p for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 253, 237, 183, 79, -87, -327, -653?\nAnswer: -1077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14440)\/17328)\/((-5)\/4).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 372649 + 9.\nAnswer: 372658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28049780?\nAnswer: 2, 5, 11, 59, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 30*g**2 + g + 42. Let c(l) = l**2 - 19*l + 72. Let s be c(6). What is the hundreds digit of a(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o + 1 = -o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2 + -1 + (-2*sqrt(637))**2 + 4)*-3.\nAnswer: 45882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -383.31 - -3.21. Round b to the nearest ten.\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -w - 2*w + 77 + 489 - 150 + 11371*w**5 wrt w?\nAnswer: 227420*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 1:43 PM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1001020310 (base 4) to base 16\nAnswer: -41234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 + 57. What is the remainder when 213 is divided by p?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31\/((-930)\/72)*10\/(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 686230 and 157132?\nAnswer: 330762860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.777247 * 7\nAnswer: -5.440729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -70*u**2 + 352*u - 3. Calculate m(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56590404*-5.\nAnswer: -282952020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 245117.49 rounded to the nearest one hundred?\nAnswer: 245100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5165 times 505\nAnswer: -2608325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 13*l**2 + 85*l + 1208. Give p(-11).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 12 + 0 = 0. Let u = d - 25. Let p(l) = -7*l + 4. Let s(y) = -36*y + 21. Let o(j) = u*p(j) + 4*s(j). Let a(c) = -2*c**2. What is a(o(f))?\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 0. Let y = -25\/14 + 9\/7. What is the closest to 1\/2 in y, 1\/7, s?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, m: 2, d: 12}. What is prob of sequence mmd?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 455296854?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3179 + 3178.8. Let p = -2.98 - 0.02. Which is the fourth biggest value? (a) k (b) p (c) 0.7 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 21 = -5*p, -x = -0*x - 3*p - 17. Suppose -u - 5 = -x. Let t(l) = -l - 1. Calculate t(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2121 (base 9) to base 14.\nAnswer: -7d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75041 is divided by 99?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 1874 = -3*z, 31*t - 34*t = 2*z - 5594. What is the highest common divisor of 38 and t?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 4. Let p = -356 + 8902\/25. Which is the biggest value? (a) p (b) -4\/7 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1)\/c**(-3\/4))\/(c**(-3))**(-13\/5))**49 assuming c is positive.\nAnswer: c**(-7889\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 8*a + 13. Let t be w(-6). Let j be (2 - 1)*0\/t. Suppose -3*z = 2*q + 6 + 1, -5*q - 4*z = j. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (14129 - -13)\/(((-3)\/6*-3)\/(-1)). What is w rounded to the nearest one hundred?\nAnswer: -9400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1528460 divided by -305692\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 75437\/10 - 7544. Which is the fourth biggest value? (a) z (b) 12 (c) -0.2 (d) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of b**6\/120 + 2*b**5\/15 + 3*b**4\/8 + 11*b**3\/6 - 5*b**2. Let k be i(-6). Solve -4 + k = -5*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 220 - 220 - 29*l as r*l + c and give r.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 4 - (32 + -20).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1991 is divided by 216?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cmcccccccmmcccc. What is prob of picking 1 m and 2 c?\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 172874201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*j, -d + j + 3 = 3*j. Find the third derivative of 7*c**5 + 5*c**2 - d*c**2 - c**5 wrt c.\nAnswer: 360*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h - 4. Let r be m(5). Suppose -15*n = 374 - 404. Let f(c) = r - 8 - n*c + 5 - 1. Calculate f(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 - 80. Find the common denominator of -45\/44 and (2\/((-64)\/l))\/((-24)\/(-34)).\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1171, 1417, 739, -863, -3389?\n\"Answer: -462*z**2 + 1632*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 9:07 PM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 = -4*s + 178. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(68)*2 - sqrt(68)) + sqrt(68))*-5 - -6*-2*sqrt(68))\/(sqrt(324) + (sqrt(324) - (sqrt(324) + sqrt(324)*1)) - -5*sqrt(8)\/sqrt(2)).\nAnswer: -22*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 4*g**2 - 2*g - 5. Let w be h(-4). Suppose w*c - 5 = -5*o, 6*c + 4 = 2*c + 4*o. Let s = 14 + -10. Sort 1, c, s in increasing order.\nAnswer: c, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2704199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of 2\/5*r**5 + 0*r + 0*r**2 + r**4 + 0*r**3 + 12. Factor i(p).\nAnswer: 2*p**3*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 473 and 2365?\nAnswer: 2365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1543 - 1543. Solve -6*s + 30 = -5*y - 11*s, u = 5*y - 4*s - 15 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/3)\/((-6)\/261). Suppose 6*c - k = 1. Suppose -4*w = -3*w - 4*y - 108, 0 = -2*w + c*y + 207. 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: Expand (-k**3 + 2*k**3 + 0*k**3)*(-4 + 1 + 2) + 4*k - 4*k - 2*k**3 + (2*k - 3*k + 3*k)*(3*k**2 - 2*k**2 - 4*k**2).\nAnswer: -9*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/3592121 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + c + 6*c**3 - 11*c**3 + 3 - 63*c**2 - 1 + 7*c**3 to x + y*c**3 + a*c + u*c**2 and give u.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-23\/5))**13 assuming p is positive.\nAnswer: p**(-299\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 3. Suppose -3*i + q = -0*i. Solve i = -4*a + 20 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*c**3 - 878026 + 44*c**3 + 878026 - 2*c**3.\nAnswer: 94*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3420 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**2 - 215*y - 1290. Let a be z(-101). Solve 21*s + 7 = -3*v + a*s, 0 = -2*v + 3*s - 13 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9952679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 17.7 and -0.16.\nAnswer: -2.832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6, 99, 468, 1287, 2730?\n\"Answer: 29*c**3 - 36*c**2 - 2*c + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**2 + 3. Let h be 168\/72 - 2\/(-3). What is w(h)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j*j**0*j*j))**(-44)*(j**(1\/4)*j)**(-5\/8)*(j**0\/(j*j\/(j*j\/j**(4\/5))*j))**(2\/21) assuming j is positive.\nAnswer: j**(48213\/1120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 119*g - 431*g - 222*g + 1 + (g - g + g)*(-5 + 7 + 2) - g + 3*g - g + 6*g - 2*g - 3*g - 1 - 2*g + 1.\nAnswer: -530*g + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 3*i - 4. Let c be l(3). Let u(t) = 2 + 2*t - 2*t - 2*t. Does 5 divide u(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 + -19. Suppose -l*q - 5*f + 470 = 0, 5*q + f - 149 = 317. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-4) + (-164)\/(-176). Let j = 177 - 1949\/11. Put -44, s, j in increasing order.\nAnswer: -44, j, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 4*t, -5*f - 1 = -t - 12. Suppose 3 = -f*y + 17. Let r(g) = -1757*g - 1. Let i be r(y). What is i rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of -r**4\/24 + 3*r**3\/2 - r**2. Suppose -14 = 2*s + 4*d, -450*s + 446*s = 4*d + 24. Calculate t(s).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 9, k: 2, e: 8}. What is prob of sequence eee?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -385?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n + 89. Let j(d) = -d - 30. Determine 3*g(s) + 8*j(s).\nAnswer: -5*s + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43 - 40. Suppose -4*p + 264 = -l*j, -58 - 8 = -p - 5*j. Suppose 10*v = 7*v + p. Solve -4*r - r = -10, 4*a + r = v for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 - 53066214?\nAnswer: -53066203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u + 100. Determine l(14).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1285845 is divided by 53?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 - 0.3. Suppose 5*s = 3*t - 17, 4*t + s = -1 + 16. Suppose -d - t*q + 6 + 4 = 0, -4*q - 2 = -5*d. What is the closest to d in 0.1, 5, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 175659407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1829 - 3512?\nAnswer: -19b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 2*o + 8. Let b be k(6). Let p be (-3)\/8 - (-10026)\/b. Let n = -442 - p. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d + 4 = 32 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4*r + 14 = 0, 2*c - 10 = 6*r - 2*r. Let a = 441\/2105 + -4\/421. What is the closest to c in -5, -2, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1032 and 4644.\nAnswer: 9288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 24068683 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00022074 to 6 dps.\nAnswer: -0.000221","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n + 1 - 2 - 25*n**2 + 3*n**2 + 8*n**2 to the form y*n + b*n**2 + d and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (91\/14)\/((-2)\/40). Let h = 37 - v. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + 0. Which is the closest to -0.1? (a) x (b) 0.07 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -7*p - 3. Let f(y) = 4*y + 2. Let q(m) = -5*f(m) - 3*s(m). Let o be q(2). Differentiate 2*k**2 + 0*k**2 + o - 4*k**2 with respect to k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12 - -2 - 1*3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -28? (a) 2 (b) 1 (c) -5 (d) -1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -21*d - 213. What is the lowest common multiple of 216 and y(-14)?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + m = 52, m - 260 = -2*p - 3*p. What is the remainder when 310 is divided by p?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -3055465\nAnswer: 12221860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.8 - 0.8. Suppose 0 = -173*f + 167*f - 12. Which is the smallest value? (a) f (b) l (c) 0.46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 6*l - 19. Let m(z) = -z**2 - 3*z + 5. Let b be m(-3). Suppose 5*w + 3*s = -2*s + 40, 2*w - b*s + 19 = 0. Let j be n(w). Is j < 1\/146?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -58b2252 - 9?\nAnswer: -58b225b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -125.5254827584 minus -0.1?\nAnswer: -125.4254827584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2 = 6*j. Let i = -4 - -12. Does 9 divide i\/(-8)*18\/j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i + 3. Let r(v) = -3 - 3 + 0 + 4. Let z(u) = 2*o(u) + 3*r(u). Let p(w) = -6*w**2. Let h(q) = -q**2. Let y(m) = 36*h(m) - 5*p(m). Calculate z(y(n)).\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2467 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 83*z**3 - 5*z - 5. Let f = -1544 - -1539. Let r(c) = 1452*c**3 - 88*c - 88. Determine f*r(p) + 88*w(p).\nAnswer: 44*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*p**6 - 1590*p**3*q**3 + 3*p**2*q**2 - 6257*p*q**3 wrt p.\nAnswer: -2040*p**3 - 9540*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 61917868417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-4 - -1 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -179918*d**2*y + 330*d**2 - 38*d wrt y.\nAnswer: -179918*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of -f**6\/120 + 7*f**5\/60 + 3*f**3\/2 - 2*f**2. Let v be i(7). Calculate the highest common divisor of v and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011 + -11001100000110001001?\nAnswer: -11001100000101111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 146 + -104. Let r(t) = 22*t**3 - t - 1. Let m be r(-1). Let d = m + s. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 131968\/9 + (-29)\/261?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4029074 to the nearest integer?\nAnswer: 2007","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 4\/20199681?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 72 = 4*z, 5*z + 41 = 3*l - 122. Suppose l*w - 64 = 38*w. Solve -3*r + 10 = -w*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36781?\nAnswer: 36781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 24 = -5*w - 4, -w + 4 = -4*n. Suppose -2*d = -n*d. What are the prime factors of (-2 + 3 - -1) + d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -8*c + 73. Determine r(13).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3198 = 11*t - 3231. Let s be -2 + (-1)\/(2\/(-28)). Suppose -s = -5*r + 18. Solve t = 3*p + r for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 10:16 PM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 0*m**2 + 1 - 5*m**2 - 1. Let a(y) = y + 2. Let w(t) = -t - 1. Let f(u) = -2*a(u) - 4*w(u). Calculate h(f(r)).\nAnswer: -20*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.712589 - -0.711. What is u rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66 and 3597.\nAnswer: 7194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -7*z**2 - 143*z + 18717. Give f(-63).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/9*(54\/81)\/(4\/(-6))?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83510273269 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*b + 540*b + 31*b - 149*b - 168*b.\nAnswer: 267*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*v**2 + 2364344*v - 4728704 = 0. Calculate v.\nAnswer: -591088, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 6856.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-5)*u*u\/(u*u**(-4\/7)\/u) assuming u is positive.\nAnswer: u**(-17\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1985 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a millennium in months?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z + 1892 = 1934 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u**5 - 4*u**5 + 4*u**5 + 4*u**5 - u**5 - 2*u**5 + (2 + 2*u - 2)*(-u**4 - 4*u**2 + 4*u**2).\nAnswer: 3*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -238*o - 126*o + 10556 for o.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2272595 + 2272560.99999744. Let r = -76 + 42. Let f = r - i. Round f to 7 decimal places.\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.7 (b) -1.2 (c) 64 (d) -3 (e) -2\/5 (f) 1\/2 (g) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/32 and 41\/960?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2321346340 to the power of 1\/3, to the nearest integer?\nAnswer: 1324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 6:32 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*x + 3 = -2*x, -w + 3*x = -13. Calculate the remainder when w is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-12)*(-192)\/(-504). Let o(k) = -k**3 - 5*k**2 - 4*k - 3. Let n be o(-4). Which is the third biggest value? (a) -5 (b) n (c) -0.2 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5271 is divided by 132.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 142297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 25 = 0, -p + 110 = 4*l + l. Let v = p + 40. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 151605662?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (36\/15)\/((-1)\/(-5)). Suppose 0 = -11*q + 7*q - u. Let d be (3 - 1)*q\/6. Put 1, 3, d in increasing order.\nAnswer: d, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 4*f**2 - 4*f + 6. Let g be d(-5). Let r be 2*(-3 - -4)\/g. Let w(s) = -4*s**2 + 5*s**r - 3*s**2 + 4*s**2. Let x(p) = -6*p. What is w(x(i))?\nAnswer: 72*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -131 + 133. Suppose j*x + 39 = -11*x. Sort 4, 1, x in descending order.\nAnswer: 4, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*f**2 + 40*f**2 + 3 + 54*f**3 + 50*f**3 - 108*f**3 + 54*f.\nAnswer: -4*f**3 + 54*f + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 80*s - 728. Let f be y(10). What is the greatest common divisor of 774 and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.7025 + -0.17.\nAnswer: -1.8725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from {h: 5, m: 11}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 12*s - 30. Is z(-7) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 40\/43? (a) -8\/3 (b) 6 (c) 12\/5 (d) 2\/11 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102201021 (base 3) to base 8.\nAnswer: -20533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**2 - 704. Let l(t) be the first derivative of t**2 + 340. What is m(l(o))?\nAnswer: 8*o**2 - 704","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -4*f - 1, -7*s = -2*f - 3*s - 20 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-41745)\/242)\/(345\/46)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*b + 4*d + 23, b - d - 10 = 0. Suppose -3*y + 4*y + 3 = -3*f, 5*y - 41 = -f. What is the smallest common multiple of y and 2\/9 + 7\/b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -133*l + 13. Let q be b(7). Is 38 a factor of 12\/(-21) + q\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 10778606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56\/20)\/(((-84)\/(-35))\/(-6)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + x + 12. Let l be r(4). Which is smaller: l or 5\/13?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 8, -4, 5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ygddxdoyjdgggoj. Give prob of picking 1 y and 1 j.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2116, 2069, 2020, 1969, 1916, 1861, 1804?\nAnswer: 1745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - v + 4. Let u be z(3). Suppose -3*f = 0, 0*w - 3*w = -f + 57. Let k = u - w. List the prime factors of k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*v - 59233 + 59233.\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 0.5 (b) -3\/10 (c) -3 (d) -2 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 419*j**2 + 488*j**2 - 1883*j**2 - 4*j**3 + 976*j**2.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 235*f*y**3 + 6*f*y**2 - 183*f*y - 89*f - 105*y**3 - 2*y**2 - 4*y - 11 wrt y?\nAnswer: 1410*f*y + 12*f - 630*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 + 10172830?\nAnswer: 10172829.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/4579584 and 47\/849024.\nAnswer: 151126272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26348 and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1066, 1070, 1074?\n\"Answer: 4*j + 1062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 3\/3)*4\/30?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from ddgdgdddddgdgddddddg?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -388641*o + 1. Let h(d) = 150*d. Determine h(b(w)).\nAnswer: -58296150*w + 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51)\/sqrt(3) + -2)**2 - sqrt(153)*-2.\nAnswer: 2*sqrt(17) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 2*j + 0*j)*(-9*j + 362 + 7*j + 717).\nAnswer: 2*j**2 - 1079*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 37368149, 37368150, 37368151, 37368152?\n\"Answer: v + 37368148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -141420 (base 5) in base 3?\nAnswer: -22001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4*i - 16 = -4*y, 4*y - 10 = -5*i. Let q(w) = 6*w**2 + 2*w - 6. Let l be q(i). Is 17 at most l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 5*i + 107 + 642, 3*i = -3. Let j = w - 128. Let u = -56 + j. Solve -3*x + 11 = 2*l, u*x = 5*x - 2*l + 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6956993*q**2 - 46058214.\nAnswer: -13913986*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*z - 12540 = 183*z for z.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 5*b = -7*q + 1157, 4*q - 1184 = 4*b. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**3))\/a**(3\/8)*(a*a**(-7))\/a**4 assuming a is positive.\nAnswer: a**(-59\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -2. Suppose 3*a + 2*a + 406 = -c*h, 4*h + 2*a + 532 = 0. Let u = h - -293. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 377685 divided by -125895?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5*(-36)\/(4 - 0). Let k be (-13 - -14) + (n - 0). Let i be (k\/33)\/(-3 - -2). Which is the biggest value? (a) -5 (b) i (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nvkk when four letters picked without replacement from {v: 4, n: 2, k: 10}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -33 (b) -3 (c) -7\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2\/7 + 634254*z\/7 - 49453560\/7.\nAnswer: -3*(z - 211340)*(z - 78)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.666 (b) -2\/7 (c) 0.05 (d) -163\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = k + 5*q + 41, -2*k = -2*q - 12. Calculate the greatest common factor of 59 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (44\/143)\/(14\/91). Solve -2*t + n = q, -5*t + 8*t - 2*n = -2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 6*b**2 + 6. Let j be l(-6). Suppose 2*g = 4, -3*z - 12 = -j*z - 3*g. What is the third derivative of 2*r**4 - 2*r**4 + 6*r**4 - 6*r**z wrt r?\nAnswer: 144*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14454574*p**3 - 15156144*p wrt p?\nAnswer: -86727444*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65256243.\nAnswer: 3, 13, 1673237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 5*x - 24 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 3a8?\nAnswer: -3a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10774 is divided by 115?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 82595 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d. Let y be 2 + -4 + 132\/1. Let z(b) = 263 - 131 - y + 3*b. Let r(l) = q(l) + z(l). What is r(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 6*m + 64. Let u be k(-10). What is the tens digit of 224 + 4\/u*-3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3291770225 to the nearest integer?\nAnswer: 1488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 13*q + 8*q. Solve 3 = b + q for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2443 is divided by 1196?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.11 in -15, 0.1415, 1.9?\nAnswer: 0.1415","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1298 is divided by 88.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 97357 and 21671?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4044223918?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = v - 4*z, 19 + 8 = 3*v - 2*z. Is v a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8222 + -8214. Put 42, f, -2 in decreasing order.\nAnswer: 42, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*n**4 - 7*n**4 + 8*n**4 + (5*n**2 - 2*n**2 - 2*n**2)*(-2*n**2 - n**2 + 2*n**2).\nAnswer: -25*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29712.50315 + 4.60315. Let r = j - -29739.899856. Let p = 32 - r. Round p to five dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 12:56 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 240 + -236. Suppose 0*f = -u - 3*f - 8, 0 = 2*u - m*f - 4. Which is the second smallest value? (a) 88 (b) 0.5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28216 times -0.1\nAnswer: -2821.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/3))**(1\/8)*(j\/(j*j**(1\/3)))\/j**(1\/2) assuming j is positive.\nAnswer: j**(-11\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 4*l**2 + l. Let o be s(-1). Suppose -5*n - 22 = -f, 2*f - o*n + 2*n - 8 = 0. Sort 3\/4, -2\/5, f.\nAnswer: -2\/5, 3\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.398 + 1.408. What is the biggest value in 1\/18, z, -0.11, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dndn. Give prob of picking 1 d and 1 n.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 7*p**2 + 4*p + 2. What is k(5)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 41, 3\/7, 5, 3, 18?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**2 - 45*y + 27. Determine v(22).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -171, -425, -847, -1437?\n\"Answer: -84*g**2 - 2*g - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 10:35 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2 + 17435686*a + 76000786572649.\nAnswer: (a + 8717843)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 1 - m - 3*m + 3*m. Let a(h) = 10*h - 11. Let q(i) = -i + 1. Let j(n) = -a(n) - 6*q(n). Determine -j(z) + 6*p(z).\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (9\/(-6))\/((-6)\/8). Let g = 146 - 138. Which is the third smallest value? (a) 0.4 (b) x (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -718*k + 2167*k - 727*k - 724*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 15*g + 3180 = -5*j, 2*g = 5*j + 1284. Does 632 = g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 308, 549, 776, 983, 1164, 1313, 1424?\nAnswer: 1491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1)\/d*d\/(d**(-1\/4)\/d))**(-17) assuming d is positive.\nAnswer: d**(-17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 1 + 2*x**3 - 1 - 2*x**2 - 1. Calculate r(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/11, -10, -4 in increasing order.\nAnswer: -10, -4, 2\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -4*i + 918, -2*i + 6*i + j - 927 = 0. List the prime factors of i.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 - 21.1. Let w be (2 - 0) + 8\/(-4). Which is greater: q or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000941944 to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -5*r**2 - r + 1. Let a be p(-2). Let f be 2*(2 - (-27)\/a). Let h = f + 536\/51. Calculate the common denominator of h and 13\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - -2 - (-140 - 4\/(-2)). Suppose -3*p + 2*i - 12 = -245, 2*p + 3*i = g. What is the smallest common multiple of p and 6?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 h when three letters picked without replacement from hrrh.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -54 in decreasing order.\nAnswer: 5, -3, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x + x - 4*x)*(-1 + 3 + 0)*(-1 + 3 + 28).\nAnswer: 60*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -31 and 73602594837.\nAnswer: 73602594806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.351582 times 1\nAnswer: 0.351582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 4*z + 2. Let n be f(5). Suppose -2*d + 8 = 2*j, 2*d = 5*j - j - n. Solve 2*l - 3*l - 19 = 4*c, 0 = -2*c - j*l - 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t - 11. Let o be h(-8). Suppose o*a - 164 = -19. Is 12 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5386 - 2562. Calculate the remainder when t is divided by 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q - 1. Let a be w(-3). Let p = a - -4. Is p at most 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131413257 to the power of 1\/3, to the nearest integer?\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8.908 in -9, 0.2, 4?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -24*b**2 - 2*b - 4. Let u(r) = -r - 438. Determine u(n(c)).\nAnswer: 24*c**2 + 2*c - 434","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + d**3 - d)*(-5*d**2 - 4*d**2 + 2*d**2).\nAnswer: -7*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33611?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 999638 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -12*m + 9*m + 59, -232 = 3*o - 14*m for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -5 + -1*sqrt(5) + sqrt(5) + 0.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 3. Which is the second biggest value? (a) -0.5 (b) 4\/3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 194084557242 and -0.1.\nAnswer: 194084557241.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 210 - 56. Let r = -84 + b. Is 43 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 610\/(-244)*(-3)\/10\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 165206, 165112, 164852, 164342, 163498, 162236?\n\"Answer: -14*g**3 + g**2 + g + 165218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 12:15 PM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -388, 0, 1, 3, 77 in ascending order.\nAnswer: -388, 0, 1, 3, 5, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4911\/55 - -446\/5. Which is the closest to 0.5? (a) 1 (b) p (c) 1\/3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from jejjjedhdjjdjjeeejhj?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -4*f - 39, -4*f - f = v + 27. Let i(l) = 2*l - 2. Let t(g) = 13561*g - 27118*g + 13555*g + 2. Calculate f*i(d) - 5*t(d).\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -256*n + 682. Let a(b) = 2*b. Calculate m(a(u)).\nAnswer: -512*u + 682","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**2 + 2*l - 2*l + (3*l - l - 3*l)*(3*l - l - 4*l) + (4 - l - 4)*(-5*l + 6*l - 2*l)*(-1 + 1 + 1) + 21*l**2 - 674 + 674.\nAnswer: 25*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**2 - 174*n + 173 = 0. What is n?\nAnswer: 1, 173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 4 + 0*t + 0*t**3 - t - 4*t**2 - t**3. Let a be c(-4). Let i = 19 - a. Solve i - 3 = 4*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 647 is divided by 94.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4546.2 rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*g - 48 + 6 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -449 + 1692. Let a = g - 670. Is 70 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1442*k**3 + 1397*k**3 - 4276*k**3 + 1439*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + sqrt(35)\/sqrt(7)*-6 - (sqrt(5) - (sqrt(20)\/(sqrt(4) + sqrt(16)) - sqrt(5))))**2.\nAnswer: 2000\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*z - 774 = 0, -5*z = 5*s - z + 1932. Let u = -328 - s. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -407, -405, -393, -365, -315, -237?\n\"Answer: o**3 - o**2 - 2*o - 405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31.9 + 27.9. Which is the second smallest value? (a) m (b) -0.08 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 225170 divided by 115.\nAnswer: 1958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 29452.663 to the nearest one hundred.\nAnswer: 29500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 25 = 5*y, 3*v - 18 = y + y. Suppose 3*d - 6 = 0, -3*z = 3*d - v*d - 224. What is the remainder when z is divided by 4\/(-6)*-10*3?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -1 + 10*j**3 + 154*j**2 - 19*j**3 - 3*j - 4 - 149*j**2. Let k(r) = -5*r**3 + 3*r**2 - 2*r - 3. Let d = -3 - 0. Determine d*s(o) + 5*k(o).\nAnswer: 2*o**3 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.93 + -9. Let q = -5\/4 - -2. Let g be (6 + (-430)\/70)*4. Put q, g, u in ascending order.\nAnswer: g, u, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 39 + 9*r + 76*r + 27*r + 11*r. What is the units digit of f(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0064 and 271949?\nAnswer: 271949.0064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 3*u + 60, -2*u = -w + u + 15. Let y = 0 + w. Suppose 15 = z - y. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2932 = 12*v - 2956 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -1\/7*y**3 - 15\/7*y**2 + 0*y - 64. Factor r(k).\nAnswer: -3*k*(k + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**5\/7 - 5*x**4\/7 - 2*x**3.\nAnswer: x**3*(x - 7)*(x + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v + 27. Let s be a(18). Suppose -1377 = -2*p + s. Calculate the highest common divisor of 9 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/2)\/((1200\/448)\/(-15))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 0) + -7 + -1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*o = 87*o - 1118 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/3)\/((-8)\/24) - -1. Suppose 0 = r*j - 23 - 2. Suppose -5*o + 22 = -8. Solve j*a = o - 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of 13*j**2\/2 + j - 1. Let s be v(4). Suppose s = 5*x - 37. Does 18 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -4*h, 24*h = 26*h + 3*a for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-62)\/(31248\/(-1050))\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 45*c**2 - 234*c + 20. Calculate l(7).\nAnswer: 587","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 24004 to the power of 1\/2, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 0.5 (c) 1650\/17 (d) 3 (e) 3.1 (f) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 2*d - 12. Let q be u(-4). Sort -4\/5, q, 0.9 in descending order.\nAnswer: 0.9, -4\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 times -24.333\nAnswer: 656.991","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19906 and 39274?\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 2 + (-13)\/(39\/342). Let g be (s\/20)\/(2\/(-35)). Factor g*y**2 - 102*y**2 + 14 + 2 + 12*y.\nAnswer: -4*(y - 4)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -v - 4. Let u be 1 + -1 + -1 + v. Let y be 1*(0 + u) - 45. What is y rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 - 22. What is the highest common divisor of 3 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + p + 46 = 0. Let c = p + 46. Calculate the remainder when 48 is divided by ((c - -1) + 33)\/(3 + -1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -3279.\nAnswer: -1639.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 237 and 29467.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 13 = -5*x, 3*x = -2*x - 5*h + 20. Solve -s = -a - 1, -4*a - 4 = -x*s - 5 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 1699*o - 266. Let m(k) = 3399*k - 488. Let j(b) = 6*m(b) - 11*v(b). Let x(h) = h. Determine j(x(n)).\nAnswer: 1705*n - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dx when two letters picked without replacement from {x: 2, d: 5, f: 7}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 = 5*p + 122. Sort p, 0.01, -3\/70, 2\/9 in descending order.\nAnswer: 2\/9, 0.01, -3\/70, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 28?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52 + 57. Let s(y) = -y - 13*y + p*y + 7*y. Let z(a) = -6*a. Give z(s(x)).\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 15*n**2 + 28*n + 4. Suppose 179*u = 176*u + 39. Let b be g(u). Suppose b + 5 = 7*o. Solve 3*x = o*x - 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -6*r + 1. Let i(b) = 2620*b + 2. Give -2*i(t) + 4*q(t).\nAnswer: -5264*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 6629.03, -0.07 in ascending order.\nAnswer: -0.4, -0.07, 6629.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*sqrt(440))\/sqrt(8))\/(-2*sqrt(80)))**2.\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, a: 4, e: 4, z: 2, s: 1, m: 8}. Give prob of picking 1 z, 1 s, and 1 c.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-51)\/(-15) + 1\/((-10)\/4). Suppose 2*y + 2*y = -z*t + 35, 15 = 3*y. What is the greatest common divisor of t and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 425499813 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -10657, -0.4, -5, 2\/17, -17 in ascending order.\nAnswer: -10657, -17, -5, -0.4, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of h**4\/8 - 7*h**3\/6 - 3*h**2 + 1. Let r(t) be the second derivative of m(t). What is the units digit of r(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39607 = 5*z - k, 19*z - k = 17*z + 15847. Is z a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((12\/(-7))\/((-118)\/413) + -19).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4265*h**3*k**3 + 5*h**3*k**2 - 790*h**3 + 5*h**2*k**3 + 9138374*h**2*k**2 + 3*k**3 wrt h.\nAnswer: -25590*k**3 + 30*k**2 - 4740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of 46*o**5\/5 - 2*o**3\/3 - 9*o**2\/2 - 12. Find the third derivative of t(q) wrt q.\nAnswer: 1104*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -5*a**2 + a - 74. Let z(r) = -2*r**2 - 37. What is m(z(y))?\nAnswer: -20*y**4 - 742*y**2 - 6956","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 869728 and 3044048.\nAnswer: 6088096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 369 divide 126140067?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (-6 + 6 - (-9 - -3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 63655*o**3 - 79263*o + 1 wrt o?\nAnswer: 381930*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -t + z - 1, z - 5 = 3*t. Let j = t - -4. Find the first derivative of 2*f**2 - 4 + 8*f**j - f**2 - f**2 wrt f.\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 3:39 PM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + (-4 - -2)*-1)\/(-2). Let s be (-2)\/4*(-35 - (b - -3)). Which is smaller: 0.2 or s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {d: 1, o: 6, k: 11}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 955 a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nq when two letters picked without replacement from qnnqqqqqnnnq.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**5*d**(-2))**(-16\/11)*(d**2*d*d**(-8))**(1\/16) assuming d is positive.\nAnswer: d**(-823\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 559 + -267d?\nAnswer: -2124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 8\/25 of a millennium?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4572624 rounded to two dps?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*u**2 - 8*u**2 + 20*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 9 = 3*i - 0, -r = -4*i + 12. Suppose r*y = 6*y. Suppose -2*l + 0*h - 2*h + 12 = 0, 0 = 2*l - 2*h + 8. Solve d - o + y*o = l, 3*d + 4*o = 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.204 + 0.3314. Let y = 0.118364 - n. What is y rounded to three decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffff. What is prob of picking 4 f?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 115 = -3*w, -922*w = -924*w + 4*j - 106 for w.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 92551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away -15059294?\nAnswer: 15059294.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -59543*i**2 - 1071771*i + 65. Calculate k(-18).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 12:28 AM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 9*w - 13 + 11 - w. Let p be q(5). Let o = 2118 - 2042. Calculate the greatest common factor of p and o.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -4 + 14\/3*p**3 - 4*p - 5*p**2. Factor g(r).\nAnswer: 2*(r - 1)*(7*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 5:34 AM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-48)\/(y*(y*y**(-4\/25))\/y))**(2\/131))**(-20))**(-4) assuming y is positive.\nAnswer: y**(-39072\/655)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, w: 1, i: 1}. What is prob of picking 1 i, 1 w, and 1 s?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 2, 1\/2, 7 in descending order.\nAnswer: 7, 2, 1\/2, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nw when two letters picked without replacement from ommwon.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72082 (base 9) to base 5.\nAnswer: 3004314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of v**8\/20160 + v**7\/5040 + 317*v**6\/720 - v**5\/10 + 3*v**2. Let d(b) be the third derivative of p(b). Is d(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ejjs when four letters picked without replacement from jsecjc?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-27)\/(-6) + 2\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -1089*d + 145239. Calculate j(133).\nAnswer: 402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/55284 and 111\/20.\nAnswer: 276420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1 + -2 + (-1*sqrt(66))\/sqrt(6) + -4 + 4.\nAnswer: -5 - sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*o**4 - o**4 + 2*o**4)*(-28 - 23 - 18) - 8*o + 8*o - o**4.\nAnswer: -484*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/(-4) + (-14)\/560*10. Let x = 643\/581 - -3\/83. Find l, given that x + 12\/7*l + 4\/7*l**z = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 23439, 46876, 70313, 93750, 117187, 140624?\n\"Answer: 23437*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7141 + -6 + 2\/(-4)*2.\nAnswer: 2, 3, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 4*m - 2*i - i, 5*m = -5*i + 40. Calculate the remainder when m is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 133 + -128. Put -3, l, -21 in descending order.\nAnswer: l, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27591*i**3 - 20100*i**2 wrt i?\nAnswer: 165546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2b4a - -6?\nAnswer: 2b53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 853400999 to the power of 1\/2, to the nearest integer?\nAnswer: 29213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.9 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/((-2)\/117*(-26433)\/(-1068))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40934 and 13983326?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -7*o**3 + 17*o**2 + 78*o - 47. Is x(-21) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hshss. What is prob of sequence hhs?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7647*d - 22737*d + 13100*d - 210469*d.\nAnswer: -227753*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 3*j + 15 = 0, -5*j = 2 - 17. Let x(q) = q - 16. Let s be x(i). Let v be (-10)\/(s\/60*3). Solve -4*p + v = p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2519 - 2519 + l**2 + 2*l**2 + 4*l**2.\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-227*q + 148*q - 37*q)*(-3 + 0 + 6 - 1 + 1).\nAnswer: -348*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - 49\/(-7)) + -2. Find the second derivative of -43*h**4 - 3*h**5 + 101*h**4 - 4*h - 47*h**c - 8*h wrt h.\nAnswer: -60*h**3 + 132*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25884 divided by -5804\nAnswer: 6471\/1451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**2 - 4*v + 37. Let o be w(-6). Which is the nearest to o? (a) -7\/3 (b) 1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 29713, 29703, 29693, 29683?\n\"Answer: -10*n + 29723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4610940 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 13241, -2, 3 in descending order.\nAnswer: 13241, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -223 - -228. Solve -3 = 4*d - 5*j, 3*d + d + v*j = 27 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15 - 4 - 9) + -6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 42 = 4*t, 2*m + 2*t + 34 = 4*m. Suppose -8 = -2*r + 3*x - 1, 2*r + m = -x. Sort 2, r, 1 in increasing order.\nAnswer: r, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10406*o - 12*o**2 - 20821*o + 10415*o - 329 + 329.\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.465 + 0.46. Round r to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1080\/27 - 111)\/((-2)\/16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, f: 4, p: 3, a: 6}. Give prob of picking 2 q.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3866 and 2?\nAnswer: 3866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22211 + -120?\nAnswer: 22021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1 + sqrt(1300)).\nAnswer: -3 + 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 7*t - 56. Let x(s) = 7*s**2 + 34*s + t - s**2 - 40*s + s**3. Let b be x(-7). Let k(d) = d**2 - 2. What is k(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*u + 131 = 315 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1115131 + -42021?\nAnswer: -1160152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7360468?\nAnswer: 2, 1840117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.304 + -1.696. Put 1, -7, y, 3 in decreasing order.\nAnswer: 3, 1, y, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*o - 13. Suppose 3*c + x = 11, 5*c - 22 = -2*x - 2. Solve 6*r = c*r + o for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1662, 1625, 1588, 1551?\nAnswer: 1514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 25? (a) 53\/2 (b) 0 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8456.237l in millilitres?\nAnswer: 8456237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1825*0.5\nAnswer: -912.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 5*a + p - 23, a - 4*p = 43. Suppose -24*z + a*z - 354 = 0. Does z = 118?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0053248 to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(135)\/sqrt(5))\/(sqrt(9) - (sqrt(9) + sqrt(108)\/(sqrt(48)\/sqrt(4)))).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.04 (b) 88 (c) 3 (d) 2 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 60\/24*(17 + 1). Find the common denominator of 613\/198 - (-1 - (-35)\/q) and -5 - -4 - 55\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 35 (b) -127\/3 (c) -42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**4 - 110540*b**3 + 1529153418*b**2 - 48812273936*b - 103742045896 = 0. Calculate b.\nAnswer: -2, 34, 27619","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4492 divided by 4?\nAnswer: 1123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 5. Let b(h) = -1. Let u(t) = -t**3 - 7*t**2 - 8*t - 8. Let g be u(-6). Let z = g - 14. Let w(o) = z*b(o) + 2*n(o). Let m(f) = f. Give m(w(l)).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, w: 9, c: 4}. What is prob of sequence wcw?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u*u**(4\/13)\/u*u)\/u**0)\/((u*u**3\/u)\/(u**3*u)))**(-28) assuming u is positive.\nAnswer: u**(-1204\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) - -1*sqrt(85)*5 - sqrt(85))\/(sqrt(60)\/sqrt(48) + sqrt(5)))**2.\nAnswer: 1700\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3904.90559 + 1939.4.\nAnswer: -1965.50559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/119 and -47\/68?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*(-14 - -12)\/(2\/(-5)). Suppose -23 = d - 5*x, -2*x = c*d - 5*x + 5. Put d, 10, 1 in increasing order.\nAnswer: 1, d, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 8:41 AM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -29.31+2\nAnswer: -27.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 314131\/8160700 + -2570511849480681\/42851835700. Let b = 59986 + g. Let c = 362299\/52510 + b. Find the common denominator of c and 55\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -455 + 282. Let w = -167 - f. Let l(r) = 4*r - 6. What is l(w)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 648 - 650. Which is the nearest to 2? (a) 1 (b) 0.3 (c) 0.1 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*f**2 + 5*f - 15075 - 4*f + 15074 as w*f + d + c*f**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -72480, 259, -1 in decreasing order.\nAnswer: 259, -1, -72480","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -2\/173, -1, -46?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 64, 97, 152, 229, 328?\n\"Answer: 11*o**2 + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 2*k - 6. Let i(q) = 6*q**2 + 11*q - 29. Determine 2*i(d) - 11*p(d).\nAnswer: d**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-14 + -966 + 1012.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 946988 and -0.032.\nAnswer: -30303.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 16.4 (c) -5 (d) 1\/6 (e) 6 (f) 1\/4 (g) 0\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2722, -5991, -10376, -16435, -24726?\n\"Answer: -93*j**3 - 2618*j - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/30464 and 139\/62832?\nAnswer: 1005312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/7 - 38*k\/7 - 68\/7.\nAnswer: -2*(k + 2)*(k + 17)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49 - -79. Suppose 31*n - 30 = 34*n. What is the remainder when (-1184)\/n - (252\/30 + -8) is divided by v?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.12? (a) 16 (b) -0.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3\/5 - 52*c**2\/5 - 592*c\/5 + 128.\nAnswer: 4*(c - 20)*(c - 1)*(c + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -4*g - g**2 + 1\/2*g**4 + 57 + 4\/3*g**3. Factor o(z).\nAnswer: 2*(z - 1)*(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**3*w**4 + 19*a**3*w + 7666*a**2*w**4 + 432*w wrt w.\nAnswer: 24*a**3*w**2 + 91992*a**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20\/110 + (-18)\/(-22). Let o be i - 0 - -5*(-10)\/(-25). Suppose -5 + o = -t, 0 = p + 4*t - 19200008. What is p rounded to the nearest 1000000?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**3 + 12*d**2 + 13*d + 17. Suppose -103*i = -94*i - 9. Let a(p) = p**3 + 1. Let y(k) = i*q(k) + a(k). Determine y(13).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 322868085?\nAnswer: 3, 5, 21524539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = j - 3*b - 10, 5*j = -3*b + 10. Let o(q) = 4*q - 3*q + 3*q**2 + 0*q**j. Let g(n) = -n**3 + n**2 - n + 1. Let v be g(0). What is o(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 6:16 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 79 = 3*i - 5*x, 2*x = -8. Let p = 48 + i. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(-4) + (-11)\/44. Sort v, -3, 2\/5 in decreasing order.\nAnswer: v, 2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -85 + 5?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 103247554 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/t**(1\/4)))\/(t\/(t\/(t*((t*t*t*t\/(t*t\/t**(-6)))\/t)\/t))))\/((t*t**(2\/9)*t)\/t*t*t**(-7)) assuming t is positive.\nAnswer: t**(361\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**2 + 3*x + 1 - 2 + 4*x**2. Let o be y(-3). Suppose 2*d - o + 4 = 0. Let s(r) = r**3 - 2*r**2 - 2. Give s(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 a when two letters picked without replacement from {l: 1, a: 4, u: 3, r: 6, x: 5, s: 1}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) - (-4 + sqrt(931)) - (-4 + sqrt(931))**2.\nAnswer: -943 + 50*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -5*n - 13, -5*n = -2*l - 4*n + 5. Let z be (l - 2)*(1 - 1). Solve 2*c + 3*c - 15 = z for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - 14*h + 39. Calculate a(12).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6669 and 3861?\nAnswer: 73359","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4554468 by 168684.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zlzlzzzzlzull. Give prob of picking 1 u and 1 l.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 336 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1*20)\/4)\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 318607870 - 498*k**2 - 318607870.\nAnswer: -498*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + 2*p**2 - 2*p**2. Let b(y) = 3*y - 7. Let t be b(3). Let v(m) = m - t*m**2 + m**2 - m. Calculate q(v(d)).\nAnswer: -d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -1421*x - 29. Let w(t) = 28*t. What is k(w(l))?\nAnswer: -39788*l - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 32471281?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -84723 - -189290. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 44133538 or 44133540?\nAnswer: 44133540","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -l**2*o + 3481*l**2 + 47*l*o**3 + 2*o**3 wrt o.\nAnswer: -l**2 + 141*l*o**2 + 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195\/((-13)\/1) - -9465?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 30, -0.06, 90, 2?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 800133.0711 to the nearest ten.\nAnswer: 800130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 3*b**4\/2 - 21*b**3 - 219*b**2\/2 + 21*b + 108 = 0.\nAnswer: -4, -1, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a decade in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gee when three letters picked without replacement from {e: 4, l: 2, g: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - (0 - (198 - -1)))*1250. What is z rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -893\/10 - -87. Calculate the common denominator of 2\/1 - (-218)\/36 and k.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + sqrt(13) + 4*(-1 + sqrt(13)) + 1*sqrt(637) + (sqrt(130)\/(sqrt(30)\/sqrt(3)) - sqrt(130)\/(1*sqrt(10))).\nAnswer: -4 + 13*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.05, -1\/3, -18, 0.78, 0.15?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -81 - -81.3. Suppose 4*f + 1 = 5*f. Which is the second smallest value? (a) u (b) f (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fuuf when four letters picked without replacement from {f: 9, u: 3}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 74 - 51. What is the remainder when 89 is divided by b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -13*w + 11. Let h be y(-4). Let v be 4\/h + 26\/117. Which is the second smallest value? (a) v (b) -1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 111510 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) -0.9 (c) -1 (d) 2\/5 (e) 0.00145\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 4 = 2*b, 10*b = -3*j + 9*b - 3. Suppose 5*f + 10 = -20. Put 2, j, f in descending order.\nAnswer: 2, j, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 892745\/163 + -5477. Let q = -173\/9128 - x. Let i = -193\/168 - q. Which is greater: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 11*q**2 - 162*q + 1119. Let x(z) = 12*z**2 - 164*z + 1118. Let s(f) = 7*w(f) - 6*x(f). Factor s(p).\nAnswer: 5*(p - 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13367 - 14967. Is -1601 not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -k + 1761, -2*k - k - 1741 = -2*z. What is the tens digit of z*(6\/((-36)\/(-6)))\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 7 - 2)*(1047 + 831 - 2113)*(5 - 3*q - 5) in the form t*q + r and give t.\nAnswer: 705","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*(-5*sqrt(91)*-2 + sqrt(91) - sqrt(91) - sqrt(91)))\/(sqrt(7)*-1*-4 - sqrt(42)\/(sqrt(30)\/sqrt(5))).\nAnswer: 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -165 - -88. Let q = x - -78. Let u = -3564 - -60608\/17. Is u greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g - 7. Let y be t(7). Suppose y*h - 4*h + 380 = 0. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8846, 8807, 8768, 8729, 8690, 8651?\nAnswer: 8612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from iimm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -70003*j - 2 + j**3 + 70005*j - 1 - 18*j**3 + 11 as h*j**2 + q*j + r*j**3 + g and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 404*c**3*w**3 - 2*c**3*w**2 + 1405*c**3 wrt w.\nAnswer: 1212*c**3*w**2 - 4*c**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18073028 - 37837.5.\nAnswer: -18110865.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 46 and (32\/(-1))\/(1*(-4 + 2)).\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -9, 3, 34?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 68789 to the power of 1\/2, to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2850253419?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -2*k - 10. Let y be (0 - (-1 - -3))*k\/10. Which is greater: y or -3\/91?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 47 = 3*m - 17, 0 = 3*p - 3*m - 18. Let x = 26864 + -26857. Suppose x*g = 4*g - p. Which is the nearest to -0.2? (a) -9 (b) g (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*n**3 - n**3 + n**3.\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15035*a**2 + 5170*a**2 + 5133*a**2 + 5036*a**2.\nAnswer: 304*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -457 divided by -7\nAnswer: 457\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36.0003 - -36. Round z to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -565.777189 to one decimal place.\nAnswer: -565.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -3 - 12 - (-200 + 194)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (-14 + 8)) + -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 169*k - 215. Is y(22) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -44021?\nAnswer: -44020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4422 - 4422.3. Which is the nearest to 2\/5? (a) 12 (b) 3\/37 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that k**2 - 5*k + 4 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 0, -18, 5, -5 in descending order.\nAnswer: 5, 2, 0, -1, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9552.13l in millilitres?\nAnswer: 9552130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + v - 1. Let i(h) = -4 - 1 - 3*h + h - 1. Let u be i(-5). Let q(b) = -6*b**3 - 4*b**2 + 2*b - 4. Let f(k) = u*y(k) - q(k). Factor f(x).\nAnswer: 2*x*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 113793 and 83.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7690215, 15380525, 23070835?\n\"Answer: 7690310*z - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 + 39 - (-4 - (3 - -1) - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + v + 294 = 43, 5*q = -2*v + 422. Suppose -q + 27 = 3*p. Let y = 30 + p. Is 4 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17878 rounded to the nearest 1000?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 at least as big as 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 2*y - 5. Let g be i(-4). Let x(v) be the first derivative of 0 - 4 + 2 + 4*v - v + v**g. Find the first derivative of x(l) wrt l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 18 (b) 6 (c) -2\/5 (d) -1\/3 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 25*v + 22. What is h(26)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 7*d**2 - 9*d - 5. Let l be o(-5). Is (l\/10)\/(1\/(-3203)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 8:42 AM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 3*y + 3. Let k be r(4). Suppose -2*t = 5*m - k, -15 = 3*t - 0*t - m. Let p(h) = h**3 - 3*h**2 + 4*h - 2. Let v be p(2). Sort v, t, -3.\nAnswer: t, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646072.4 centuries in years?\nAnswer: 64607240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 5*z, -3*z = 5*v - v. Calculate the remainder when 122\/(-8)*(z + -4) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -393 + 930. What are the prime factors of u?\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3\/10 (b) -2\/9 (c) 0.2 (d) -150 (e) -1\/3 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (8 - (14 - ((-14 - -2) + -9 + -21))) + -10\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39\/((-9945)\/(-204)))\/((-44)\/50)?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 38\/5 (b) 0 (c) -2\/7 (d) -4\/5 (e) -1.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aeap when four letters picked without replacement from {e: 1, p: 6, a: 4, h: 2}.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -18*h - 27. Calculate p(-7).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/1199328 and 179\/780?\nAnswer: 5996640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3479, 13954, 31415, 55862?\n\"Answer: 3493*t**2 - 4*t - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 * -7369.\nAnswer: -5158.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d + 51. Let f be m(-19). Is f >= -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18.039 - 0.039. What is the smallest value in x, -1\/4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 12*v**3 - 27*v + 27. Let u(g) = -g**3 + 2*g - 2. Suppose q - 36*f + 2 = -40*f, -2*f = -4*q - 8. Determine q*o(n) - 27*u(n).\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 0*y - 8 = 0. Suppose 4*k - 3*n - 17 - 3 = 0, -y*k - 12 = 4*n. Suppose 4*x - 44 = -k*j, 2*x = -2*j + 6*x + 20. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3712 and 574606?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(1 - 1 - 2)*(2*h + 3 - 3).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 at least 2279\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*s**3 - 275*s**2 = 0. What is s?\nAnswer: -55, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 1:45 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 148*z**2 + 221*z**2 + 38*z - 318*z + 36*z wrt z.\nAnswer: 738","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 589*b - 1200*b = -596*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33 - -205. What is the lowest common multiple of (-8)\/(-1)*(9\/30)\/(93\/155) and r?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1643748*m**3 + 11635*m**2 - 20*m - 2?\nAnswer: 9862488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**2 + 3*s**2 - 3*s**2 + 4*s**2. Let o(g) = -2*g. Give u(o(l)).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by 4640547\nAnswer: 11\/4640547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1102 (base 3) in base 9?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 6013.\nAnswer: 1\/6013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of a**7\/252 + a**5\/120 + 2*a**4\/3 + 5*a. Let o(u) be the third derivative of s(u). What is the tens digit of o(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3 + 20*o + 1 - 1. Let d be h(5). Let m = d - 74. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 12. Suppose s*r + 78 = 4*r + q, r - 3*q = 26. What is the remainder when 956\/12 + (-6)\/9 is divided by r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c7c (base 15) in base 11?\nAnswer: -2131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of v**5\/40 + 5*v**4\/24 - 5*v**3\/6 + 6*v. Let m(c) be the second derivative of r(c). List the prime factors of m(7).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1133 + 1133. What is the second smallest value in -298, j, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(675\/(-99))*5\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27605995 to the power of 1\/2, to the nearest integer?\nAnswer: 5254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -134 (b) 0.5 (c) -3\/4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -8595*x. Let a(y) = -72*y. What is a(u(o))?\nAnswer: 618840*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -47180, -94789, -142842, -191339, -240280, -289665?\n\"Answer: -222*v**2 - 46943*v - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(5 + 116\/(-24)). Solve j = -3*f - 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 58 + -70. Put -4, z, 2 in descending order.\nAnswer: 2, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/30 in -2\/3, -244, -2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.09 in -0.4, 4, -571?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16665 and 73326?\nAnswer: 366630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -8*h**3 - h**2 + 4*h + 4. Is g(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2355483, -4710776, -7066069?\n\"Answer: -2355293*m - 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -3, 69, 191, 375, 633?\nAnswer: 977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14170, -13528, -12886, -12244?\nAnswer: -11602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/312 and 79\/72.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, -3077, -8136, -15249, -24428, -35685, -49032?\nAnswer: -64481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-3 - (0 + -3 - 3) - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 462608, 925423, 1388238, 1851053, 2313868?\n\"Answer: 462815*t - 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 5*s + 0 = -13, 0 = 5*c + 4*s + 14. Let k = c - -6. What is the lowest common multiple of k and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -q**4\/2 - q**2 - q + 1. Suppose 3 = -j + 2. Calculate t(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -156, 2, 0.1, 0.2, -14 in decreasing order.\nAnswer: 2, 0.2, 0.1, -14, -156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 2, 244, 2\/19, 4?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/5 + 1848\/105. Suppose -2*y + 52 = -s. Which is bigger: 67\/2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -41291, 4, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seventeen quarters of a kilometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23312440 (base 5) to base 15.\nAnswer: 433d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 128188 - -1\nAnswer: 128189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - 7*f - 5. Let g be j(8). Factor 0*q**3 + q**g + 8*q**4 - 9*q**4.\nAnswer: -q**3*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1211891 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -98.3157 to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 693 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2 + 61304*v + 939545104.\nAnswer: (v + 30652)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*k - 9 + 9. Solve k = -13*q + 18*q + 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/(-8) - (-7)\/28. Let d = z - 2. Let r = -115 - -111. Put r, 4, d in decreasing order.\nAnswer: 4, d, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/344 and 2\/3 - ((-7410)\/(-5040) + 8\/28)?\nAnswer: 2408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1897*w**2 - 157516 wrt w?\nAnswer: -3794*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (40\/12 + -2)*(-15)\/(-4). Solve -4*g - 2 = i + 15, -u*i - 1 = -g for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 1\/5, -7, 3, 0.5 in ascending order.\nAnswer: -7, -0.2, 1\/5, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 5*b = 31, 25 = 4*v + b - 12. Let z(t) = 2*t - 11. What are the prime factors of z(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -85183, -85637, -86403, -87487, -88895, -90633, -92707, -95123?\n\"Answer: -j**3 - 150*j**2 + 3*j - 85035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*c = 95, 14 = -4*w + 2*c + 394. Calculate the greatest common divisor of w and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/829 and 51\/5.\nAnswer: 4145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*t**4 + 120*t**3 - 535*t**2 + 390*t = 0. Calculate t.\nAnswer: -39\/5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 6 = 2*x + 2*v, 5*x = -2*v + 15 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.16039 + 1.16039. Which is the fourth biggest value? (a) -3\/4 (b) 106 (c) f (d) 4 (e) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 2*b + 4 - 18, b = 2*r + 8. Let n = 7 - b. Let v = 8 - n. What is the remainder when 8 is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24.229022 + -5799997\nAnswer: -5799972.770978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -0*s + 2. Suppose w - 4 = -w - s*f, 2*w + 4*f = 0. Let t(o) = -o - 2. Calculate the smallest common multiple of w and t(-11).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + -1*-7*5. Let b = w + -28. Suppose -5*t + 5 = -b, -i + 4*t = -4. 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: Let v be (-285)\/(-360) - (0 + (18\/(-16))\/(-9)). Let q be (-145)\/(-2)*(-4)\/(-5). Which is smaller: q or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-364)\/(-49))\/4 + -2.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18933 is divided by 95.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*x + 95*x - 41*x)*(11*x - x + 0*x).\nAnswer: 820*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (33\/21)\/((-31)\/(434\/(-3))) - 2?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyy when four letters picked without replacement from yyyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 8\/22*92\/(-8) - -4\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 41178526*o**3 - 23556197 wrt o.\nAnswer: 123535578*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -7840.\nAnswer: -7840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 11, 381, 6.\nAnswer: 0, 6, 11, 381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -41603146 + -20?\nAnswer: -41603166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5834*t - 1 + 1 + 5837*t.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, h: 5, n: 5}. What is prob of picking 4 h?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -202.3 - -194. Let o = g + 7. What is o rounded to 1 dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 933, 913, 855, 741, 553, 273, -117?\nAnswer: -635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5952.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 3. Let y = -0.6 - -1.6. Let z = w + y. Which is the smallest value? (a) z (b) -0.3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 489547693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*v - 2*v - 19*v)*(13*v + 33 - 33) + (1 - 1 - 2*v)*(0 + 0 + 2*v) - 2*v**2 - 2*v**2 + 5*v**2 - 2*v + v**2 + 2*v.\nAnswer: -197*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3836629 to the power of 1\/2, to the nearest integer?\nAnswer: 1959","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 151480252 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 60*u - 14. Let n(s) = -58*s + 15. Let k(p) = 5*n(p) + 6*t(p). Suppose -y = -2*y + 5. Is k(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 3*v - 3. Let n be z(-5). Suppose n = 3*a + 1. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47865 is divided by 4329.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13867 - 6792. What are the prime factors of r?\nAnswer: 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/113208 and 59\/47170.\nAnswer: 566040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 691207?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 774701654 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136*a**2 - 9*a + 173*a**2 - 12*a + a**2 + 21*a.\nAnswer: 38*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, w: 16}. What is prob of sequence wz?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 50*q - 11 + 61. What is the nearest to 1 in q, 5, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 2*x = -4*k - 32, x - 3 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 24060 = 4*a, q + 4192 = 4*a + 16226. Let p = q - 23076. Round p to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1514?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k**2 + 5*k - 26. Let v(w) = -2*w**2 - 7*w + 15. Let b(a) = 3*o(a) + 4*v(a). Calculate b(8).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -191*v - 17 + 802*v - 200*v - 192*v - 176*v.\nAnswer: 43*v - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 218\/9*t**3 - 2\/9 + 26\/3*t - 74\/3*t**2 - 8*t**4.\nAnswer: -2*(t - 1)**3*(36*t - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-7) + (-6)\/((-294)\/35). Let a be (3 - (0 - 2)) + -1. Solve a*o = -9 + t for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/124509 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30660, 59494, 86508, 111702, 135076?\nAnswer: 156630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14 + -1235?\nAnswer: -1251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*w, -2*w = z + 3*w + 20. Suppose c + z*c = 5244. Suppose 0 = 2*d - r - 0*r - c, -3*d - 4*r = -1311. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3490*j = -3044*j + 346302 for j.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1686857\/557886 + 2\/13283. What is the common denominator of -1\/42 and g?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -981 + 995. Let s = 8 - 4. Solve -s*r = -z + 2 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/13536 and 71\/624150.\nAnswer: 469360800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.48 and -4.\nAnswer: -5.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2 (b) 2\/7 (c) 1 (d) 43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/11 (b) 2137 (c) -2\/7 (d) 3 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2072 and 74?\nAnswer: 2072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, j: 2}. What is prob of picking 2 j?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6663207 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 85 and 25549198.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**5\/15 - 16602*a**4\/5 - 299012*a**3\/5 - 2990408*a**2\/15 - 930384*a\/5 = 0. Calculate a.\nAnswer: -14, -2, 0, 24921","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 480213.3 millilitres?\nAnswer: 480.2133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 208 and 1742.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p**2 - 21*p. Let w(y) = -3*y. What is w(h(z))?\nAnswer: 9*z**2 + 63*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -3*b - 18, -12 = 4*b - 3*b + 2*m. Does 10 divide ((-2)\/b)\/((-10)\/(-1160))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 5*u**2 - 319*u - 994. What is m(-19)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 6. Let j = 1 + s. Let g = j - 2.3. Which is smaller: g or 0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 117765.1099949 + -117765. Let g = 0.11 - q. Round g to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of w**4\/4 - w**2\/2 + 4. Let t be 68\/(-85) - 9\/(-5). Let s(o) = 8*o**3 - 6*o - 1. Determine t*s(d) - 6*p(d).\nAnswer: 2*d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -2.5. Let r = -48 + 48.1. Which is the third biggest value? (a) r (b) 1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.09, 3, -4478, -2\/9, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(34\/14)\/(11 + (-2204)\/203).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*x - 55*x - 3108 = -44*x + 323 for x.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 0.2 (b) 2 (c) -6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 13342*r**2 - r. Let v(l) = -3*l. Give v(c(j)).\nAnswer: -40026*j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lsz when three letters picked without replacement from zahzhlhulzs.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(5\/(-6)*48\/(-160)). Solve t*n - 20 + 16 = 0, -w = -3*n + 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-182)\/(-6) + (-5)\/15. Let a be 12\/l + 13996\/10. What is a rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (63\/360*-12)\/(-3)*16\/14\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*g**3\/3 - 137534*g**2\/3 + 75304336*g\/3 + 7175584 = 0. What is g?\nAnswer: -2\/7, 564, 19084","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -14*f**3 - 225*f**2 - 6*f + 169. Give r(-16).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w + 1. Let u(i) = -i**2 + 3*i + 5. Let j(s) = s - 4. Let p be j(0). Let v be (-5)\/p - 6\/24. Determine v*u(o) - 5*q(o).\nAnswer: -o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1034*1\/2 - 2. Suppose -u + 4*x - 212 = -3*u, -c = -5*u - 5*x. Suppose -u + 360 = 2*p. Calculate the greatest common divisor of 13 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 120 - 15*k - 120 + 11*k**2 wrt k.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 475667.\nAnswer: 409, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*n + 0)*(2 - 2 + 2) + (n + 3*n - 20*n)*(-3 + 6 - 4).\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 269558.\nAnswer: 2, 53, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 5190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - ((8 - (4 - 3)) + -8) - 9?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -19*d**4\/12 - 7*d**3\/2 - 20*d**2. Calculate the remainder when a(-2) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001771 to seven decimal places.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46612 and 813.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r - 6. Let b = 5 - 0. Let g be q(b). Let t = 5 + g. Is t even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/2 + 6743*d**2\/2 - 23582*d + 40416.\nAnswer: -(d - 6736)*(d - 4)*(d - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3706 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/15 - 14588*d\/15 - 1456702\/5.\nAnswer: -2*(d + 313)*(d + 6981)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 230296?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 20406 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 19.64 - 0.1\nAnswer: 19.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1129603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*m**3 + 74*m**2 + 1678*m wrt m.\nAnswer: -48*m + 148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u**4\/2 - 18565*u**3\/2 + 185095*u**2\/2 + 203665*u\/2 = 0.\nAnswer: -1, 0, 11, 3703","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by -3554242?\nAnswer: -13\/3554242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 7*g**2 - 6*g + 6. Let f be (-8 + 0 + -2)*(-1)\/(-2). What is p(f)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -15, -0.3, -1249, 7\/8, 3?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*((-1)\/2)\/((-21)\/(-2) + -7). What is the closest to -0.1 in r, 2, -2\/3, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 8 = -t - 4, 4*t + k = 9. Suppose 2*c + 19 = -t*s + 169, 3*s = -5*c + 217. Is s a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 205.01 + -205. Put 5, t, 0.3 in descending order.\nAnswer: 5, 0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/3 - (4\/(-3) - 0). Suppose h*d + 24 = 8*d. Calculate the greatest common divisor of 8 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjjn when four letters picked without replacement from {j: 5, g: 8, n: 1, f: 2}?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 0.16, 2\/17, 0, 4, -85\/6, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15181 - 15181 - 501*n.\nAnswer: -501*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43533 and 13129.\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 35 or 0.9?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of b**3\/2 - 2*b. Let p be y(-1). List the prime factors of 5 - p\/(-3*1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 248 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hvivvvh. What is prob of sequence hhv?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1 + sqrt(891)*2 + (sqrt(891) + 1*sqrt(891) + sqrt(891))*6)**2*2 + -5.\nAnswer: 720*sqrt(11) + 712802","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 310\/7 - 44. Which is the third smallest value? (a) -2\/9 (b) 1 (c) 5 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8713317 (b) 0.07 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -207, -533, -989, -1575, -2291?\nAnswer: -3137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 5, -210390, 2, 3, -5 in descending order.\nAnswer: 5, 3, 2, -5, -6, -210390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*g*s**3 + g + 145*s**3 wrt g?\nAnswer: 7*s**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000011946 to 7 dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3799 times 1.5?\nAnswer: 5698.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -156 or -157?\nAnswer: -157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0123988835 to 4 decimal places.\nAnswer: -0.0124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 6:20 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 5*k**2 - k - 2. Let r = -44 + 16. Let j = r - -39. What is the remainder when l(3) is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 + 1.3. Let z = -12\/601 - 1166\/1803. Let y = -14 - -57\/4. What is the nearest to 1 in k, z, y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d**2 - 7*d + 105. Let k(s) = -s**2 - 2*s + 30. Let f(y) = -4*b(y) + 14*k(y). Let v(w) = -14001*w. Give v(f(a)).\nAnswer: 28002*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8817891 to the power of 1\/2, to the nearest integer?\nAnswer: 2969","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2952 divided by 123?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -5*n - v - 5, 0 = 5*n - 4*v - 11 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = a + 4*j - 49, -5*a + 4*j = -385. Suppose -v - 24 = -4*q + q, -v + 25 = 4*q. Suppose 2*c + q = 45. What is the remainder when a is divided by c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 5*v + 89*j - 42*j - 49*j = -43, -24*j - 96 = 0 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**3 - 3*v**2 - 3*v - 3. What is s(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -8040*n**3 + 20*n**2 - 2*n - 638. Let c(j) = 13400*j**3 - 34*j**2 + 4*j + 1064. Let o(m) = 7*c(m) + 12*s(m). Find the third derivative of o(g) wrt g.\nAnswer: -16080","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3550333935 to the nearest integer?\nAnswer: 59585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14.9 + 17. Let w = -0.1 + l. Is w != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2584 and 2822.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/49 and 51\/2569.\nAnswer: 17983","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2342207.\nAnswer: 7, 41, 8161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 1 - 0. Let g(o) = 2*o + 4*o - 4*o + 2. Let l be g(-2). Which is smaller: l or w?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 346?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1733*f**4*i - 110*f**4 + 393608*f**2*i wrt f.\nAnswer: 41592*f*i - 2640*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - k + 1. Let b(t) = 2*t**2 + 3*t - 3. Let j(l) = b(l) + 3*m(l). Let v(p) be the third derivative of p**5\/10 - 6*p**2 - p. Determine j(v(h)).\nAnswer: -36*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1712*g**3 - 1882*g**3 + 603*g**3 + 121*g**3.\nAnswer: -2870*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45233 is divided by 11082?\nAnswer: 905","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 1042?\nAnswer: 1046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2488 = 3*j - 2*d, -4*j + 1554 = -3*d - 1762. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, t: 1, d: 1, m: 3}. What is prob of picking 1 e and 1 d?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**2 + 56*o - 85. Let a(p) = -5*p**2 + 119*p - 168. Give 8*a(t) - 17*h(t).\nAnswer: -6*t**2 + 101","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - -5. What is the remainder when ((-458)\/(-18) - (-36)\/(-81)) + 0 is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581866200 rounded to the nearest 1000000?\nAnswer: 582000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 5*g - 10. List the prime factors of z(8).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 4*a**4\/5 + 24*a**3\/5 + 12*a**2\/5 - 8*a = 0.\nAnswer: -5, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25107?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -1 - 17. Suppose 0 = r + 4, a - 3*r + g = 2*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -45*f + 4. Let n(h) = -15*h + 1. Let i(o) = -4*d(o) + 11*n(o). Suppose 4*v - 5*m = 2*v + 21, m = -v. Let r(s) = 8*s - 3. Determine v*i(k) - 5*r(k).\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 9:36 AM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 790069663 is divided by 5313?\nAnswer: 5311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -12159 greater than -12161?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 88983 and 144.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56461400 divided by 10.\nAnswer: -5646140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -16435, -3 in descending order.\nAnswer: 5, -3, -16435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 22, 4, 3, 4\/89?\nAnswer: 4\/89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4160 a multiple of 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**9*h\/h**(-3)*h**(1\/31)*h**9\/h assuming h is positive.\nAnswer: h**(652\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-270)\/600*15\/18\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -132185947 take away -1?\nAnswer: -132185946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210 = 57*x - 92*x. Let g be -4 + 5 - (-4 - -2). Suppose g*m - 51 = -0*m. Calculate the remainder when m is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 375939 less than -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 14, 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -18, -32, 2\/5, -2\/15, -2795?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 154519771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9659 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 2*f + 9. Let c = f + 31. Suppose 13*n = c*n. Solve 6*r - 3*r = n for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of x**4\/6 + 2*x - 115. Let d(y) = 447*y**2. Determine f(d(l)).\nAnswer: 399618*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 620, 622, 624, 626?\nAnswer: 628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -120 in 5, -4, -3, 1392, 0.3, -1\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/342702 and 21\/2703538.\nAnswer: 24331842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 243.2 and -32429.\nAnswer: -32185.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 b when two letters picked without replacement from uwwwwwwwwwubuwwwwwww.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + (-16)\/(-6))*3. Let x(n) = n**3 + n**2 - 4*n - 5. Let z be x(4). Let b = z + -54. Put b, -5, p in decreasing order.\nAnswer: b, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 6:32 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -12799\nAnswer: -12796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 divided by -35449.\nAnswer: -19\/35449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 10*t. Let y(v) = -8*v + 23920. Calculate y(m(b)).\nAnswer: -80*b + 23920","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 189136 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19149915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 376*o - 4485*o**4 + 11*o**2 + 2136*o**4 + 2341*o**4 - 410*o**3 wrt o?\nAnswer: -192*o - 2460","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u. Suppose -8 - 2 = -5*q + 3*g, -2*q + 5*g = 15. Suppose -9 = 4*v - q. Let o be m(v). Let n(f) = 3*f + 1. Determine n(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 24 = -f. Suppose -19 = -5*k - f. Solve -3*w + 7 + k = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)\/sqrt(3) + -5)**2*1.\nAnswer: -10*sqrt(19) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z - 23*z - 39*z + 2310 = 0 for z.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/90 + (-73)\/(-15). Suppose -z - 4040 = -r*z. What is z rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18623798?\nAnswer: 2, 9311899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 k when two letters picked without replacement from kemmkdmevkemkmmd?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 129895 <= 129894?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*p + 4943 = -22*p - 601. Solve 44 = -11*h + p for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 3*f - 41, 0 = t + 2 - 0. Let c = f + 83. Suppose -c = -5*h + 426. What is the greatest common factor of 13 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, 2, -4, 659, 96?\nAnswer: 659","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121224934.\nAnswer: 2, 61, 993647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.763 - 0.792. Let i = -7.015 + 7. Let r = i + g. What is r rounded to one decimal place?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.148 + 0.048. Let m = 0 + -0.3. Which is the closest to -1? (a) m (b) 1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**3 - 356*k**2 - 39*k + 5508. What is d(178)?\nAnswer: -1434","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 7\/3*h**2 - 17\/6*h - 5 + 1\/6*h**3 = 0?\nAnswer: -15, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-12)*(-108)\/(-90).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10395, 10383, 10371, 10359, 10347?\nAnswer: 10335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-22))\/j)\/j*(j\/j**(-24))\/j assuming j is positive.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -399*i - 3 + 400*i + 14 as z + m*i and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 12518191\nAnswer: -4\/12518191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w = -0*w + 4*b - 1682 + 1674, -5*b + 35 = 5*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**3*p**3*q + 43*c**3*p**3 - 2*c**2*p**3*q + 2*c**2*p**2*q + 44*c**2*p wrt c.\nAnswer: 12*p**3*q + 258*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 5*s = -26, 5*s = -1 - 4. What is the third derivative of 6*r**2 - g*r**3 + 4*r**3 + 5*r**3 + 7*r**3 wrt r?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 9:26 PM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/((q\/(q*q**(-1\/3)))\/q))\/q)**(26\/3)*q**5\/q*q*q*q*q\/q**(-4\/7))\/((q**(-6)*q**(-3))\/(q**(-2\/5)*q*q**(-1))) assuming q is positive.\nAnswer: q**(7229\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 318.96 + -315. Let i = -21.96 + z. Which is greater: i or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 4, -1\/5, 5\/6, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 5*d = 15, -t - 110 + 107 = 2*d for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 10*r - 4. Let b(w) = -2*w**2 - 21*w - 9. Let s(a) = -3*b(a) + 7*p(a). Let k = 11 - 17. What is the units digit of s(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**3 + 9*d**2 - 9*d + 5. Let t be o(5). Let y = 67 + t. Suppose -60 = -y*q + 32. List the prime factors of q.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of 0 + 1\/12*u**4 + 1\/3*u**3 + 1\/120*u**6 + 6*u**2 + 0*u - 1\/15*u**5. Determine v(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 212500 and 1836?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 235288156331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 9:51 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1807? (a) 0.3 (b) 4 (c) -1.4 (d) -3\/5 (e) 5 (f) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + (-9)\/18)*-4 + -7\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25944548 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2651360.\nAnswer: 2, 5, 73, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 455 - 131 = -2*v. Let n = -160 - v. Suppose -4 + 22 = 3*i. Solve g - 4*l = -15, -n*l - 1 = -g - i for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, y: 1, z: 1, p: 1, u: 3}. What is prob of sequence pj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*k + 42*k = 2*f + 2, -3*f + k + 18 = 0. Solve 2*c - f*c - 8*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2200945\/13 at least -169302?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.54, -0.9, -8, -2, 662?\nAnswer: -1.54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(3\/2)*a**(-3\/2))**(2\/19)*(a*a**(2\/15)*a*a**(-3\/5)*a)\/(a\/a**(-1\/4)*a**0*a) assuming a is positive.\nAnswer: a**(17\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/((-14)\/(-56)*-30*((-112)\/(-60))\/(-7))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -120 in -7, 1, -1, 5, 0.5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1777110140722 and 0.04.\nAnswer: -1777110140721.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 5*c + 15 = 0, 4 = 3*m - 393*c + 395*c for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 29, 66, 127, 218, 345, 514?\nAnswer: 731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 258.99 - 258.99. Which is the closest to 9? (a) -0.2 (b) -106 (c) m (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -2*h + 1284, u - 14*h - 435 = -17*h. What is the hundreds digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -13 (b) -355 (c) 1\/10 (d) -1\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 = 3*i - 40. Suppose 4*k + i = y, 0 = -3*k + k + 4*y - 16. Do -45\/4 and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-3 - (2 - (4 + -2))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mrmm when four letters picked without replacement from {h: 3, m: 5, r: 4}?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4152 and 172968?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 485*s + 421*s = -320*s + 114018 for s.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.041 - 1.041. Suppose 0 = 2*i + 2, -3*z + 0*z = i + 1. Let r = z - -1. Is r bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/14430 and 3\/221.\nAnswer: 245310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-2))**(35\/3)*(a**(-2))**(2\/77))**(-7) assuming a is positive.\nAnswer: a**(2707\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.3 - -6. Let q = v - -1.3. Let z = 4759 + -23799\/5. Put -4, q, 3, z in decreasing order.\nAnswer: 3, q, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3126\/(-21))\/(10 + -8). Let p = 7762991617\/112714560 - -1\/1789120. Let r = p + o. Find the common denominator of -9\/4 and r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 16 = -k - 4, -26 = 2*h + 4*k for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 133 + -1 - (-21)\/7. Suppose 5*k - b = 5. Does 9 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 95.853 + 8.\nAnswer: 103.853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**3 + p**3 - 5*p**3)*(2 + 2 - 3) + p**3 - p**3 + 2*p**3 + p**3 - p**3 + p**3 - 1301 - 119*p**3 + p + 1293 - 16*p**2 + 12*p**2.\nAnswer: -117*p**3 - 4*p**2 + p - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 5*a - 2561, 19*a = 14*a - 5. What is the highest common divisor of f and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4*h - 5*p = 18, -4*p - 12 = 0. Suppose 3 = 5*f - h*z - 31, 5 = 4*f + 5*z. Suppose -x - f = -2*x. What is the third biggest value in 2\/9, -1, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -821276.9 rounded to the nearest one thousand?\nAnswer: -821000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 48*g**2 - 39*g + 83. List the prime factors of l(7).\nAnswer: 2, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + 12*t + 13. Let p be b(-11). Suppose p*a - 2*q = a + 3, -5*a + 55 = -2*q. List the prime factors of a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zmhu when four letters picked without replacement from mzzmuozzzhmmzmmzh.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 0)*(-11*y + 40*y - 12*y).\nAnswer: -17*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 589 - 374. What is the greatest common divisor of h and 172?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-9) + (880\/(-90) - -5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(228)*3 - (-1*1*sqrt(228) - sqrt(228)))\/((2*sqrt(432)*1 - sqrt(432)) + sqrt(432)*-1*6).\nAnswer: -11*sqrt(19)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 97*o**3 - 174*o**3 + 5*o**3 + (5*o**2 - 6*o**2 - o**2)*(3*o - 4*o + 3*o).\nAnswer: -76*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 + 2*m**2 + 0*m**2)*(-17 + 17 - 62*m)*(-6 + 1 + 3).\nAnswer: 248*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g**2 + 201962504*g + 201962500 = 0. Calculate g.\nAnswer: -50490625, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4*s**3 - 2*s**2 - 2*s. Let b be 57\/6*4 - (-42)\/14. Suppose 35*c + 29 = -b. What is l(c)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/3 - 4\/(-3). Let i = -1 - d. Let u(y) be the first derivative of -y**4\/4 - 2*y**3\/3 + y**2 - 21. Calculate u(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/6 - -2) + (-26)\/60.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26440 + 2094 + 1829 = -72*p - 277*p for p.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.9 + 2. Let j = 0.9 + 0.1. Let u = 4 + j. What is the nearest to -1 in -1, u, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -118 - (72 + -61)*(-144)\/66?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l - 3. Let w be (-6 + 10)*(-11)\/(-4) + 2. Let m(z) = w + 7*z - 4 - 2. What is 10*c(t) + 4*m(t)?\nAnswer: -2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12.9 + -13. Which is the nearest to l? (a) -2\/5 (b) -0.1 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 18, 28, 50, 90, 154, 248?\n\"Answer: i**3 + 3*i + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 16*x = 256. Calculate the remainder when x is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3*p**3 - 4*p**2 + 23*p - 481. What is f(11)?\nAnswer: 3281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252 = -5*w - 4*w. Does 7 divide (147\/w)\/(3\/(-16))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3043625 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6497 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 163*d - 158*d. Solve -4*k - 9 = -d*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**4)**(2\/19)*((z*z*z**13*z)\/z)\/z*z*z**(2\/93) assuming z is positive.\nAnswer: z**(27287\/1767)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 30616 - 13?\nAnswer: 30603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.469 and -3.87?\nAnswer: 1.81503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 61*c**3 - 137*c**2 - 4. Let j(g) = 61*g**3 - 136*g**2 - 5. Let d(a) = 4*j(a) - 5*p(a). What is the third derivative of d(f) wrt f?\nAnswer: -366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 0 - 36 = 0. Let z(d) = -6*d**3. Let v be z(-1). Suppose -3*p + 21 + v = 0. What is the smallest common multiple of p and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2797 is divided by 30?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 7*o - 7. Let s(c) = -20*c + 21. Let u(n) = -11*g(n) - 4*s(n). Let x(q) = -7 + 6 + 0. Let h(m) = u(m) - 6*x(m). Differentiate h(l) wrt l.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 take away 87051678?\nAnswer: -87051669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-4 - 88\/(-24)). Suppose -n*q - 2552 = -5*o, 7*o - q - 1021 = 5*o. What is the remainder when o is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvjvvvvj. Give prob of picking 1 v and 1 j.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, w: 3, j: 1}. What is prob of sequence wwj?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2713 to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2850.485 and 0.1.\nAnswer: 285.0485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 5 - 5 - 30*u + (2 - 4 - 1)*(-1 + 1 + 2*u).\nAnswer: -36*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/1 - (-5 + 5) - -2. Factor h*t**3 - 15*t**4 + 4*t - 24*t + 2*t + 5*t**5 + 10*t**2 + 5 + 3*t.\nAnswer: 5*(t - 1)**4*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*z = -97*z + 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -3 - (-5 + 6 + -6) - -4\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 8) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1380634028 to the nearest integer?\nAnswer: 1114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12376542 is divided by 531?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3057 - -933?\nAnswer: -2324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 29 = -5*t - 0*i, 4*t - 5*i - 10 = 0. Suppose c = -t + 19. Calculate the remainder when 38 is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(45 - 11 + 9)*(-q + 5*q - 2*q).\nAnswer: 172*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttte when four letters picked without replacement from {e: 12, t: 6}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -7*q**3 - 6*q**2 + 3*q + 14 + 0*q + 8*q**3. Let w be r(6). Suppose 82*n = 84*n - w. Calculate the remainder when 54 is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40667553 and 91422?\nAnswer: 244005318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (474\/(-711) + 4\/((-96)\/(-124)))\/(2\/4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14887 + 1135501413?\nAnswer: 1135516300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 621 and 21367?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - 6*h**2 + 4*h - 5. Let o be i(5). Let n be (-6)\/15 + (-24)\/o. Find the third derivative of 0 - z**4 + 0 + 3*z**n wrt z.\nAnswer: -24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ym when two letters picked without replacement from {e: 1, v: 4, y: 2, k: 2, m: 1, b: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -18115602\nAnswer: -2\/9057801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 360 and 4920?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8965, 7, -5, -1 in decreasing order.\nAnswer: 8965, 7, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*h - 1 - 19 = 6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 84) + -10 - -67.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*h)*(1 + 5 - 5)*(3 - 9 - 18) + 6*h - 4*h - 3*h.\nAnswer: -49*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 23 - 10)*(-7*s + s + s)*(2*s**2 - 3*s**2 + 3*s**2)*(7 + 4 + 0) to the form r*s + m + q*s**3 + j*s**2 and give q.\nAnswer: -440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x. Let f(n) = -n**2 - 6*n - 4. Let o be f(-5). Let c be (o - (-16)\/(-4)) + 9. Let j(p) = -c + 6 + 0*p + 2*p. Calculate j(m(i)).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -0.25 (c) -2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**3 - 3*l**3 - 2*l**3 + l**3 - l**3 - l**3 + (-l + 2*l**3 + l)*(-2 - 1 + 2).\nAnswer: -7*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/900 and -101\/240.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -45.69 and -7.\nAnswer: 319.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 8.090104 weeks?\nAnswer: 4892894899200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15382413 + 0.\nAnswer: -15382413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1874 - 1838. Solve -3*h - m = -51 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 53370, -1\/4, 4, 0.3, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 16*f - 124. Let u be s(8). Let n(z) = z**3 - 6*z**2 + 6*z - 6. Let j be n(5). Let t = 5 + j. Solve -y + 21 = -4*d, -15 = -u*y + t*d + 9 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9688a - -8?\nAnswer: 96894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 divided by -599?\nAnswer: 35\/599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 6*k**2 - 7*k - 21. Let z be q(-5). Let c(u) = -u**3 - 12*u**2 - 14*u + 10. What is c(z)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7119 to the power of 1\/2, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9991337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 31*q - 952. What is g(23)?\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 296520963 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -181\/5 (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 425 + -427.116. Let y = -2 - o. What is y rounded to two dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o + o**4 + 2*o + 3*o**4 - 2*o**4 - 2*o**4 - 4*o + 4*o - o**4 + (2*o**2 + o**2 - o**2)*(o**2 + 0*o**2 - 2*o**2) + 4*o - 4*o + o**4.\nAnswer: -2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 226179028939 and -73?\nAnswer: 226179029012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -161*n**3 + 2*n**2 - 1. What is the tens digit of h(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 553 and 158?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 277151\/3 or 92383?\nAnswer: 277151\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 231 a factor of 114058351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 425\/50 - 465\/60?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 3 + 5 + (-1 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2339 is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 57 + -46. Which is the nearest to s? (a) -2 (b) 0.3 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 14.219, 2\/7, 2\/3, -0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 10:45 AM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31477 + 9412. Let f = -2453399\/60 + i. Let x = f - -7\/12. What is the third biggest value in x, -3, -2\/25?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(1\/3)\/m*m))**(-3\/31)\/((m*m**(-1)*m)\/m)**(-2))\/((m\/(m**(-2\/5)\/m)*m)**(-4)\/((m\/m**(-2\/11))\/(m*m**7))) assuming m is positive.\nAnswer: m**(11453\/1705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-4) + 0 + 4. Suppose 5*b + l*y = 2*y + 29, -5*b + 2*y = -32. Solve n - b*n = 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 700312*b**4 - 3*b + 8953 wrt b.\nAnswer: 8403744*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 5 (b) -0.2 (c) -0.5 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-96)\/(-540))\/(2\/5). What is the third biggest value in -0.2, 0.5, z?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 15 = -0*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10324 - 1?\nAnswer: 10323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0.5 (b) 0.16 (c) 2.4 (d) -1\/11 (e) 5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.96247989 rounded to 4 dps?\nAnswer: 3.9625","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*x - 45*x = -891. Calculate the remainder when x + 6\/2 + -7 is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12214.\nAnswer: 2, 31, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 2*i + 3 + (-3 + 4 + 1)*(0*i + 0*i - i) - i + i - i + 26 - 21*i + 23*i - 100 + 0*i + 2*i - 4*i.\nAnswer: -5*i - 74","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*t = 8*t + 7*t + t. Let l(r) be the third derivative of -5\/6*r**3 + t + 16*r**2 - 1\/10*r**5 + 0*r + 0*r**4. Differentiate l(s) with respect to s.\nAnswer: -12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**11*t*t*t**(-2\/13) assuming t is positive.\nAnswer: t**(167\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9880 is divided by 1975.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210 = 18*w - 3*w. Calculate the remainder when w is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r - 7*r + 3*r)*(-4*r**3 + 90*r - 47*r - 46*r - 1) to p*r + u*r**2 + j*r**4 + v + n*r**3 and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 922 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(77) - (sqrt(77) + 6*sqrt(77)*3)))\/(sqrt(1008)*-2 + 1*sqrt(7)*-5)*-2.\nAnswer: -72*sqrt(11)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/(-6)*47\/235. Suppose f - 6 - 3 = 0. Which is the closest to h? (a) f (b) 4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + (-1134)\/(-24))*14*2. Suppose -r = -8*u + 585. List the prime factors of u.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/60*-4*(-2)\/(-5)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3569\/3 - -1189. Which is the third smallest value? (a) -4 (b) 97 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17295, -34591, -51887, -69183, -86479, -103775?\nAnswer: -121071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*a + 0)*((-3*a + 6*a - a)*(-a**2 + a**2 - 2*a**2) + 0*a**3 + a**3 - 2*a**3).\nAnswer: -10*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 334538655 to the power of 1\/2, to the nearest integer?\nAnswer: 18290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 + 5*w + 3. Calculate the remainder when 16 is divided by k(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -a + 5*l + 27, 8 = -4*l. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 3*a - 18 = 0, 3*v + 0*v - 4*a - 4 = 0. Suppose v*o + 6*c - c = 245, -3*c = o - 63. Suppose 2*f - o = -2*f. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83196?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 4 - 3)*(-2*b + 0*b + 3*b) + 2396*b + 81 + 61 - 2395*b as j + d*b and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-19) - 3540\/8968)*(-8)\/23?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1906*q + 2326*q + 6335*q + 6778*q - 2210*q)*(-q + 0*q + 2*q) in the form f*q**2 + m + b*q and give f.\nAnswer: 11323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 17, 1958\/83, -2, -2\/13, -1, 4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299) - -6*(sqrt(2299) + sqrt(2299)*1))*-6)**2 - (-4 + 0 + (-1 + sqrt(2299))**2).\nAnswer: 22*sqrt(19) + 13984820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(300).\nAnswer: -30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38608.72599324 + 38608.084. Let w = p - -0.642. What is w rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millimeter in micrometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a century in months?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*v + 2*h + 70, 0 = 5*v - h - 101. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/3*-4*3\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + 16 - 3*p - 37.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1331032105*k**2 - 358792603 with respect to k.\nAnswer: -2662064210*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 + 0.8. Let h = -9 - -9.6. Let q = 0.1 - h. Which is the closest to 1? (a) q (b) 2\/7 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -5*x. Suppose 0*k - 3*k = 3. Let b be u(k). Suppose b*n - 3*d + 116 - 316 = 0, 0 = -n - 4*d + 40. 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 a = -0.323 - -37.783. Let d = a + -37.4. Sort 5, -1, -0.13, d in decreasing order.\nAnswer: 5, d, -0.13, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20335.045 + -20458. Let t = c - -123. What is t rounded to 3 decimal places?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 568709 is divided by 51447?\nAnswer: 2792","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 + 38. Let i = k - 17.7. Let s = 43 + -42.92. Which is the smallest value? (a) -0.1 (b) s (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lmh when three letters picked without replacement from hmhhlmlmm.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -9*a - 1. Let g be x(-1). Suppose g = 2*k + 2*k. Which is bigger: k or 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87158 is divided by 3805.\nAnswer: 3448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -6*l + 30. Let t = -5 + 9. Suppose -2*d = b - 65, t*d = 4*b + 43 + 57. Calculate the greatest common factor of d and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 1. Let i = 617\/6 + -103. What is the closest to w in -1, -3, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (-14 - (-6 - 6))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -51?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-9)*9*5\/(-165). Which is the second smallest value? (a) j (b) 0.2 (c) 2 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.303619 to three decimal places.\nAnswer: -0.304","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.0308 = 9.4417?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -6\/73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -2*l - 2255. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15996627 is divided by 799828.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.27514043 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2817870 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2.323 - 55333.15481\nAnswer: -55330.83181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of d**5\/4 + d**3\/6 + 38*d**2 - 26*d - 1. Let a(c) be the first derivative of w(c). Determine a(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.83886 rounded to two decimal places?\nAnswer: -1.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -312*b**2 - 293*b**2 - 281*b**2 - 287*b**2 + 1172*b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 893245 = 147*h - 271436. Is 19 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3931, -15641, -35141, -62419, -97463, -140261?\n\"Answer: 2*l**3 - 3907*l**2 - 3*l - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 l, and 2 b when four letters picked without replacement from {b: 2, l: 6, t: 9}?\nAnswer: 27\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -253 - -263. Suppose -2*d + r = 0, 12 = -t - 4*d + 32. Sort t, 1, 12, -5 in descending order.\nAnswer: 12, 1, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = 5*u + 10 + 18, -79*c + 62*c + 41 = -4*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 85 = -60. Suppose -2*z + y = -26, -3*y = -q*z - y + 67. Suppose 5*n - z*n + 2320 = 0. Does 29 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + 5*y**2 - 5*y - 6. Is k(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/356 and 119\/18?\nAnswer: 3204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1278, 7305, 13332, 19359, 25386, 31413?\nAnswer: 37440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9802)\/78)\/(1378\/(-954))?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 633 minutes after 9:37 PM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -103*f - 1. Let i be h(-1). Let l = -246 + -55. Let v = 318 + l. Calculate the highest common factor of v and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 126 = -0*i. Let h = -129 + i. Is 10 a factor of 3\/(-3) + 168\/(-1 - h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -470 divided by 5.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16\/52203 + 1490047\/77782470. What is the common denominator of 35\/447 and q?\nAnswer: 4470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-264)\/(-495)*(2 + 7\/(-4)). What is the nearest to 0 in 183, 3, 1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 - -28. Let q = t + -12. Let w be ((-2)\/54)\/(q\/30). What is the second smallest value in 3\/8, w, -1\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 + (-4 - -3) - -94226421. Let u = x - 58736426. Round u to the nearest 1000000.\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -686 by -39045.\nAnswer: 686\/39045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 2*v + 5 = 0, 3*j = 2*v + 12 - 19 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + 48\/(-6))\/(6\/30)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 797, -2, 3, 18, -1, 4.\nAnswer: -2, -1, 3, 4, 18, 797","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 194996769?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of 1\/95*o**6 - 5\/19*o**4 - 1\/399*o**7 - 8*o + 1\/19*o**5 - 2 - 3\/19*o**3 + 27\/19*o**2. Let p(y) = 0. Calculate y.\nAnswer: -3, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 73 + -76. Suppose 2*z - v + 2 = 0, 3*z + v - 1 = 1. Sort s, z, -6 in increasing order.\nAnswer: -6, s, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.01 or -3539?\nAnswer: -3539","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1534 by 2.\nAnswer: -767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 0*a + 3*u + 4, 6 = 3*a + 2*u. Let k(i) = i - a*i - 10*i + 0*i. Let z(w) = -w. Calculate k(z(b)).\nAnswer: 11*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 273 + -1907\/7. Suppose 2\/7*d**2 + h*d**3 - 2\/7*d**4 + 0 - 4\/7*d = 0. Calculate d.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43 - -33.66. Let b = 9.3 + k. Which is bigger: b or -0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: e41517 (base 15) to base 16\nAnswer: a56100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 570221136?\nAnswer: 2, 3, 3959869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 391 + -328. What is the smallest common multiple of 24 and k?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b**2 + 5892*b = 0. What is b?\nAnswer: 0, 1473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 0*f + f + 9 + 5*f. Let l(k) = -163*k + 1. Let x(d) = 139*d - 2. Let c(p) = 6*l(p) + 7*x(p). Suppose 2 = -u - 4. Determine u*n(z) - 7*c(z).\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 9681 divided by -9681\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*s + 2*s = -1, -15 = -3*s. Put d, 39, -3 in descending order.\nAnswer: 39, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 103949143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*h - 34*h = -3*b + 10, -b = -5*h + 9 - 17 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/((-10)\/(-6) + -1). Is (3\/(-6))\/(i\/(-276)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**3 + 47*c**2 + 0*c**3 - 13*c - 47*c**2 in the form n*c**2 + g + z*c + t*c**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -27 and -27 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7346 + 16807. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = i - 5*s, 3*i - 2*s = 2*s + 16. Suppose 5*l - 4*b - 967 - 375 = 0, -3*l + 3*b + 807 = i. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 6:21 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1525021168 times 2?\nAnswer: 3050042336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 9*x + 8. What is p(7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**5\/7 - 964*c**4\/7 + 7824*c**3\/7 - 7904*c**2\/7 - 31264*c\/7 + 6720 = 0. Calculate c.\nAnswer: -490, -2, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -94 and 40396407835.\nAnswer: 40396407741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of -r**6\/120 - r**5\/30 + r**4\/24 + r**3\/3 - 21*r**2. Let k be p(0). Solve -3 = -k*z + 3*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -444*u**2 - 2515*u + 4923*u - 2414*u to i + m*u**2 + w*u and give m.\nAnswer: -444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + d - 318, -4*q + 472 = -q + 4*d. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**5\/5 + 1507*o**4\/5 - 27557*o**3\/5 - 32671*o**2 - 274592*o\/5 - 28060 = 0. What is o?\nAnswer: -1525, -2, -1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1125 (base 7) to base 12.\nAnswer: -2a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2*j)*(25*j - 3 + 30*j - 73*j)*(2 + 3 - 6) - 2*j + 2*j**2 + 2*j.\nAnswer: -34*j**2 - 6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 679, 681, 683, 685?\nAnswer: 687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + d**2 + d + 1. Determine n(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-357)\/34 - -7)\/(84\/72)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-112)\/(-60))\/(-7)*(-10)\/(-12).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 260 and 52?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 13 - 12. Let a(f) = -6*f**2 - f**3 - 2 + f**2 - 2*f - 3. List the prime factors of a(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f. Let a(h) = 188*h. Determine o(a(u)).\nAnswer: 376*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 36070?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 10 = -3*r + 5*p, -r + 1 = -p. Let h = 16 + r. What is the highest common factor of 14 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 8. Suppose 0*a + 5*p = 3*a + 16, 25 = t*p. Suppose -2*i = -10*i + 16. Solve 0 = -a*c + x - 12, -2*c - 4*x = i*c + 32 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a = -0*a - 110. Suppose -5*s - a = -21. Suppose 5*k = -2*u + 2*k - 9, 4*u + 2*k - 2 = 0. Put u, 1, s in descending order.\nAnswer: u, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 209 and 0.237.\nAnswer: 49.533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from etaytateeyegaate. What is prob of sequence eagy?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1769 = -78*x - 51*x + 221 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 90683 = 90667?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -4*c + 33. Suppose 0 = -2*a - j + 5, 7 = 4*a + j - 2. Solve 5*v + a*h + 10 = h, -c*v + 20 = -5*h for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/30 and 43\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -19 - 109?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1722 - 2107?\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-38) - (-2670)\/(-190) - 10.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1250806 is divided by 391?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 451794634?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of z**3\/2 + z**2 - 2*z + 122. Let n(m) = m**2 - 2 + 10*m + 3 + m**3 + 6. Determine -7*d(o) + 2*n(o).\nAnswer: 2*o**3 + 2*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -28*t - 2. Let d be o(-1). Let j = 28 - d. Solve -4*x + 5*b - 1 = 0, 5*x - j*b = 1 - 15 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 150 (b) -0.05 (c) -4 (d) 0.3 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3160, 6353, 9560, 12787, 16040, 19325, 22648?\nAnswer: 26015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36274, 36273, 36272, 36271, 36270, 36269?\nAnswer: 36268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -22 + (48 + (-4 - 86) - -212)\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 5*w - 2*o, -5*w + 25 = -5*o - 0*o. Let h be ((-8)\/7)\/(20\/(-70)). Solve w*b - 12 = -h for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 11*w**2 - 9*w - 7. Let c be s(10). Solve -2*v - 14 = 4*g, 2*g - 12 = c*v + 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.7839471 + 4.98394765. Let c = z - 1.2. Round c to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*b - 1. Suppose -3 = -5*r - 4*h, -b*h - 18 = -8*r + 4*r. Let a(q) = 4*q - 4. Calculate the remainder when a(3) is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -417*l + 5*v = -412*l + 30, -2*v + 17 = -3*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33\/5, -0.2, -1\/3, 4\/3, -6 in increasing order.\nAnswer: -33\/5, -6, -1\/3, -0.2, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = r - 3*h, -3*r + 6 - 30 = -3*h. Let j = -6 - r. Let u(t) = -t**2 + 2*t - 1. Let w be u(3). Sort j, -2, w in descending order.\nAnswer: j, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2378, 2368, 2350, 2324, 2290, 2248?\n\"Answer: -4*z**2 + 2*z + 2380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 5 = 3*q - 2*q, 3*a + 16 = 2*q. Solve 0 + 5 = q*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 591439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.04, -2\/7, -1\/2?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + 9*r - 5. Let k be u(8). Let p be 0 - (-3 + k)*-1. Solve -48*d**3 - 2*d + p*d + 2*d + 12*d**2 + 21*d**4 = 0.\nAnswer: 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.592 - -0.408. Let p be (-1)\/((-2 - 3)*(-16)\/(-10)). Which is smaller: k or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71 = -8*f - 23 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 3*m**2 + 0 + (1 - 1 - 2*m)*(2*m + 0*m - m) - 3*m**2 + 3*m**2 - 3*m**2 + (-1 - 2*m**2 + 1)*(0 - 3 + 4).\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*k - 8964 + 9060 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 60732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 69 divided by 23\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 18 - (-687 - -612)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 70449458?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/((-12)\/4) - -1. Suppose a*m - 145 = -7. Is 18 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x**3\/5 + 57*x**2 + 294*x\/5 - 576\/5 = 0. Calculate x.\nAnswer: -2, 1, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of c**4\/12 - 4*c**3\/3 + 9*c**2\/2 + 7*c. Let o be y(7). What is the hundreds digit of (-3 + o)\/(-5 - 1767\/(-354))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 17*o + 2. Let p be w(18). List the prime factors of 654 - 0 - 5*p\/40.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*v + 11*v - 55 + 13*v + v**2 wrt v.\nAnswer: 2*v + 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23405706?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15 and 34188592?\nAnswer: -512828880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 8*s**3 + 3*s**2 + 6*s + 10. Let o(x) = 23*x**3 + 8*x**2 + 17*x + 29. Give 17*m(z) - 6*o(z).\nAnswer: -2*z**3 + 3*z**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9, 9, 39, 81, 135?\n\"Answer: 6*s**2 - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 122232 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 6*f**3 + 8*f**2 - 9*f + 10. Let l be i(5). Suppose 34 = -13*u - l. Is u\/(-15) + -5 + (-452)\/(-15) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bfd when three letters picked without replacement from {d: 1, b: 1, f: 1, a: 2, j: 1, v: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-212)\/159*(-9)\/(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/28 + -45\/308. Let s(u) = -u**2 + u + 1. Let z be s(-1). Let i be ((-1)\/5)\/(2 + z). Which is the nearest to -0.1? (a) r (b) i (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 704114332 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 2*l**2 - 53604*l - 321696 = 0.\nAnswer: -6, 26808","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.8 - -1. Let v be (-4)\/18*(-159)\/106. Which is the nearest to v? (a) 1 (b) 0.01 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -126*h + 531151 + 531911. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/88909868?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13230886?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 834 and 80?\nAnswer: 33360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 21. Suppose -3 = -4*j + m*j. What is the biggest value in j, 4, 2\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -1957?\nAnswer: -4\/1957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 7*u - 13. Let j be s(9). Does 24 divide 8\/10 + 1160\/j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nmke when four letters picked without replacement from knmnmknnkmkmkmenn?\nAnswer: 5\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -0.022, 0.1, -6\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1843 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: In base 8, what is -62771 + 131?\nAnswer: -62640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 0*b + 3*b - 3078 + 3076 - b. Calculate u(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1574 or 13877?\nAnswer: 13877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 equal to 1406397?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + v**2 + v. Let z(x) = x**3 + x**2. Let y(l) = -l**3 - 2*l**2 - 7*l. Let w(i) = -y(i) + 6*z(i). What is 6*k(c) - w(c)?\nAnswer: -c**3 - 2*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 67413744 to the nearest integer?\nAnswer: 8211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -481044, -481039, -481030, -481017, -481000, -480979?\n\"Answer: 2*u**2 - u - 481045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.35780085 plus -5.201?\nAnswer: -43.55880085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 3 + 3 + -3)\/3. What is the nearest to -2\/7 in -1\/6, q, -0.5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 2:34 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4093\/13 - -315. Let o = -0.5 - -0.6. Let d = 56.66 + -55.66. Which is the nearest to 0.2? (a) d (b) m (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 7*p**2 + 18*p - 2. Let j(g) = 119 - 28*g - 11*g**2 - 116 + 0*g**2. Let i(q) = 8*a(q) + 5*j(q). What is i(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148*w**2 - 2 + 2 + 58*w**2.\nAnswer: 206*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) + sqrt(1792)*3)\/(sqrt(8)\/(sqrt(2)*2 - sqrt(2))).\nAnswer: 25*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r + 50 = 22. Let z be 3*(-10)\/12*r. Let o(l) = -l**2 + 4*l + 7. Let y be o(5). Which is the nearest to 0.2? (a) -2\/7 (b) y (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15671*h + 1535.\nAnswer: 15671","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6*(2 + 9\/(-6)). Let m(b) = 3*b + 7*b**2 + 2*b**j + b - 6 - b**3. Is m(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3102)\/(-84) - 9\/21 and -101\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1713011, 1713009, 1713007, 1713005, 1713003, 1713001?\nAnswer: 1712999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 6:30 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -102601 + 0?\nAnswer: -102601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**2 - 1. Let s be r(-2). Let k = s + -2. Let d = 5 + k. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*a + 20 = 0. Let s = -8 - -11. Let h = a - s. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71143 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t. Let m be r(-2). Suppose -2*x - 48 = -k - 4*x, -m*k + 183 = 5*x. What are the prime factors of (-1)\/(-2) - k\/(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*w + 2*w. Let p be (w + 3)\/(6\/(-36)). Let g be (-2)\/p*450\/40. Are 4 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 4046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 3 - 1 + 3 + 8*f**2 to p*f**2 + a*f + q and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11921736 divided by -1986956?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by -128289\nAnswer: 13\/128289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 5318 divide 1539314683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6489 - -6490. Put 20, n, -2, -5, -3 in ascending order.\nAnswer: -5, -3, -2, n, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1209*r + 1068 = 1476*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3489064649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44749490.\nAnswer: 2, 5, 23, 53, 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 + 463115?\nAnswer: 463106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -62020604 - -113683779653\/1833. Let u = 3\/1222 + n. Find the common denominator of 119\/40 and u.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -1334*z**2 - 3*z + 1618. Let a(n) = -4003*n**2 - 8*n + 4845. Let l(i) = -3*a(i) + 8*c(i). Differentiate l(d) wrt d.\nAnswer: 2674*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(686) + sqrt(112)\/(sqrt(32) - sqrt(8)))\/(sqrt(175) + -1*sqrt(175) + sqrt(175) + (sqrt(112) - sqrt(7))*-3))**2.\nAnswer: 225\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.091 * 5\nAnswer: 0.455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jl when two letters picked without replacement from mrmsmmrmjmlj?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4986 from 578.\nAnswer: -4408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 445549?\nAnswer: 13, 34273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8122 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 a when two letters picked without replacement from fdwadddfo.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1391 = -2*h - 2*k + 1563, -h + 5*k = -1507. Let c = h + -399. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1117 divided by 1.\nAnswer: -1117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -4\/7 (b) 3\/5 (c) -2833\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f + 21 - 21.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12498474 and 21.\nAnswer: 87489318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = d - 3 - 3, 6 = 3*j - d. Suppose h - 74 = -z, -4*h + 99 = -j*h - 4*z. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 5*b + 258, 18*b = -3*v + 14*b + 255. Let k = 2272 - v. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1140 by 4.\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 74.2893 milliseconds?\nAnswer: 0.0742893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10392 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -1101103312?\nAnswer: 1101103301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u**3 - 105*u**2 - 7*u. Let r(g) = -4*g**3 - 208*g**2 - 13*g - 1. Calculate -4*r(i) + 7*t(i).\nAnswer: 2*i**3 + 97*i**2 + 3*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v**3 - 17*v**2 - 7*v + 11. Let g be f(6). Suppose 14 = -g*j - q, -3 = 5*q - 8. What is the biggest value in j, -2, 1\/5, 0?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 + -0.8. Let t = -2.73 - 0.27. Let f be ((-1)\/(-2))\/(3\/2). What is the biggest value in t, f, o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 313 = 5*m - 67. Calculate the greatest common factor of m and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010 + 1010101001101?\nAnswer: 1010100111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -31887 and -31889 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + 4)*(-6)\/(-2). Suppose -7*d + 360 = 3*d. Calculate the highest common factor of d and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 4\/585670131?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v**5\/2 + 2409*v**4\/2 + 3951*v**3\/2 - 10377*v**2\/2 - 390*v + 2394 = 0. Calculate v.\nAnswer: -266, -3, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) + sqrt(133)*2)*-5 - (sqrt(133) + (sqrt(133)*1 + sqrt(133))*-4))\/(sqrt(847) + -1*sqrt(847) + (sqrt(7) - -5*sqrt(175)))*-2.\nAnswer: 8*sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of 2*y**7\/105 - 2*y**6\/15 + 4*y**5\/15 + 5*y**2. Determine g so that q(g) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30 + -33. Let q = t - -131. Let m = q - 66. Solve 0 = 2*w - 4*a - 16, 2*w + a - 7 = m*a for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -5, -2, -7, -26.\nAnswer: -26, -18, -7, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2 + 58629*k + 14601496.\nAnswer: -(k - 58877)*(k + 248)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -115\/3*q**2 - 35\/3*q**3 - 100\/3*q - 20\/3 = 0.\nAnswer: -2, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -11*s**3 - s**2 + 2*s - 1. Give f(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (-5 + (-4 - -4))) + -7\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 276 and 33396.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) - sqrt(95)*-2)*-6)\/(sqrt(480)\/sqrt(6)).\nAnswer: -9*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**2 + 12*o - o**2 - o**2)*((-2 + 0 - 3)*(1 + 0 + 2) + (-4 + 4 - 3)*(-6 + 6 - 16)).\nAnswer: 33*o**2 + 396*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 269913, 269757, 269601, 269445?\nAnswer: 269289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 75\/(-30)*4*4\/8. Let d be 4\/(-6) + 4\/2. Sort j, -2\/3, d in increasing order.\nAnswer: j, -2\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3840 (b) 30 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhouohuuokoonuuhnp. Give prob of sequence phh.\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 5:12 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**3 - 13*o - 3. Let v(k) = 4*k**3 - 24*k - 5. Give -7*u(y) + 4*v(y).\nAnswer: 2*y**3 - 5*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.4 + -2. Let m(f) = -f - 4. Let h be m(-5). Put h, 2, a in descending order.\nAnswer: 2, h, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/39)\/(-4 - -5).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1368*b - 394*b + 14096 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 5*x, -1 = p + 4*x. Let f(m) = -4*m**2 - m. Give f(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5926044, -1\/7, -1, -6?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.2 - 0.9. Put v, 7\/3, -0.2 in increasing order.\nAnswer: -0.2, v, 7\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39 - 8. Let c = 174 + f. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by 61\nAnswer: 13\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(2\/11)*d*((d**(-2)*d)\/d)\/d*d*d*(d*d**(-1)\/d*d)**(3\/19))**22 assuming d is positive.\nAnswer: d**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.95 - -0.05. Let l = 4 - s. Let m = 305.6 + -303.6. Which is the third biggest value? (a) l (b) m (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(605)*1 + 3 + 1 + sqrt(605) + -5 - (-1 + -1 + sqrt(605) - sqrt(605) - ((sqrt(605) - (-1 + sqrt(605))*-5) + sqrt(605)))))**2.\nAnswer: -19800*sqrt(5) + 1225525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -q + 4*p, -2 = -2*q + 4*q + 4*p. Let n be (5\/(5\/6))\/1. Let f be (42 + (-5243)\/126)*16\/14. Which is the second biggest value? (a) f (b) q (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -94*z**2 - 1162*z - 413. Give g(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of 15\/2*w**3 - 43\/21*w**7 + 0*w**4 + 0 + 0*w**6 + 99*w + 0*w**5 + 0*w**2. Find the second derivative of j(v) wrt v.\nAnswer: -1720*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 52\/9 + -55\/9. What is the closest to o in 0.2, 1, -0.1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -188711988 by 5.\nAnswer: -188711988\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 q when two letters picked without replacement from {o: 3, q: 3, m: 1, x: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 6*c + 1. Let j be (-2)\/(-6) - 12\/(-18). Let g be r(j). What is the units digit of (-3 + g)*2\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 4*(sqrt(80)*-2 - sqrt(80)))**2.\nAnswer: 96*sqrt(5) + 11521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2004278*u**5 - 22*u**3 + 133*u - 243949?\nAnswer: -40085560*u**3 - 132*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 10:12 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/50 and -29\/10545.\nAnswer: 105450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 6 - 10. Let w(k) = -k**2 - 8*k + 9. Is w(y) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.46 * 0.182604.\nAnswer: 0.99701784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 8, -4, -2\/3, 38?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 344 + 454. Is b a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 210 (base 6) to base 4\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 2\/21 (c) -2525 (d) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37.47 - -36. Let p = 0.5 + i. Let g = p - -1.037. Round g to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 2:29 PM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -96*j**3 + 14*j**2 - 2*j - 2498?\nAnswer: -288*j**2 + 28*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 5*w**2 - 2*w - 1. Let h be k(-1). Suppose -h = -r + x, x + 2 = -x. Suppose r*v = 5*y - 0*v, -3*y = -4*v. Solve b + 0 - 3 = y for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 34\/10 + (-4)\/10. Let n(i) = i**2 - i - 6. Let g be n(-2). Solve -3*u = -g*u + q for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19153.888 - -21346. Let l = -2151.3 + d. Let r = -41 + l. What is r rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 48 + -10. Let t(a) = 2*a**3 + 12*a**2 - 16*a - 1. Calculate the remainder when f is divided by t(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1100011011010001101011 (base 2) to base 3\nAnswer: -20010111101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141 = 2*n + p, -3*p = n - 58 - 20. What is the remainder when n is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6436 + 6441. Solve 11*x - 147\/4*x**2 + 67\/4*x**3 - 84*x**k - 1 + 94*x**4 = 0 for x.\nAnswer: -2\/3, 1\/4, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((2808\/10)\/6)\/((-6)\/(-315))?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7593*n**5*o - n**2*o**3 + 24968*n*o - 2*n - o**3 wrt n?\nAnswer: 151860*n**3*o - 2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -5*n + 1155, -10*n - 2*j + 1170 = -5*n. Calculate the greatest common divisor of n and 1121.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1503*g**6 + 4*g**4*y + 242*g**3*y - 10*g**2*y - 51380036*y wrt g?\nAnswer: 180360*g**3 + 96*g*y + 1452*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 9:41 PM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 18, -941, 5 in descending order.\nAnswer: 18, 5, 1, -5, -941","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4*l = -9, -3*x - 2*l = -0*x - 13. Solve 5*z + 3 = 3*a - 1, -5*a + 10 = -x*z for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*v - 3*r - 10, 0 = v + 4*r + 8. Let x be (1\/v)\/((-7)\/476). What is the highest common factor of x and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*k**4*o + 2*k**4 + 4*k**2*o - 2*o - 29 wrt k.\nAnswer: -12*k**3*o + 8*k**3 + 8*k*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 4*i + 0*i)*(58*i - 47*i + 80*i + 73*i).\nAnswer: -328*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-19)\/(f**(-14)*f))**(-48) assuming f is positive.\nAnswer: f**288","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 92*t + 779. Give x(-10).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34004022?\nAnswer: 2, 3, 13, 435949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -899880 = -68*z + 863700. Is 19 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2 - 3 + 1 - j. Let q(p) = 2*p + 0 + 4 + 2*p - 3*p**2 + 0. Let n(z) = -21*z**2 + 27*z + 27. Let r(x) = 4*n(x) - 27*q(x). Determine r(u(l)).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 143\/46?\nAnswer: 143\/46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -3*q**2 - 2*q - 4. Is w(-3) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8.874368 hours?\nAnswer: 31947.7248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 255 (base 8) to base 14.\nAnswer: c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.071 - 0.4.\nAnswer: 5.671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 12 = 3*h, 3*r - 2*h + 14 = 4*r. Solve 5*m = 5*n - r*n + 15, -5*n - 4*m = 9 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2*m = -6. Let l be 4 - (-4 - -2 - m). Find the third derivative of 4*x**2 - 10*x**l - x**3 + x**3 wrt x.\nAnswer: -240*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(2\/(-3 - -1)). Let v(d) = -41*d**3 - 2*d**2 - 3*d - 1. What is the tens digit of v(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*m = 25*m - 60. Suppose -2*t = -3*i + 11, -3*i + m = -i + 5*t. Suppose -2*w + 4*o = -142, i*w = o - 3*o + 307. What are the prime factors of w?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5167\/11792 - 1\/1474. Which is greater: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 16 + -15 + 11\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, c: 1, o: 2, q: 1, n: 1, i: 2}. What is prob of sequence nioo?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/74970 and -94\/13365.\nAnswer: 22266090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -690*d**2*p + d**2 - 1510*p - 43636974 wrt p?\nAnswer: -690*d**2 - 1510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.21, -1, 7 in increasing order.\nAnswer: -1, -0.21, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 11*j + 17*j - 47*j + 12*j. Let p(d) = 20*d. Let o(g) = 6*p(g) + 17*s(g). Let w(l) = -18*l. Calculate w(o(c)).\nAnswer: -18*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k. Let r = -1551 - -1554. Let n(p) be the first derivative of -7 + 0*p**2 + 2\/3*p**r + 0*p. Calculate f(n(x)).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 63*z**2 + 15*z - 63. Let r(i) = 9*i**2 + 2*i - 9. Let y(n) = -15*r(n) + 2*w(n). Let f(q) be the first derivative of y(q). Is f(-1) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 v when two letters picked without replacement from uovoovpopovvovuvvy.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-48)*8\/(-24)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -57385 or -57387?\nAnswer: -57387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 26*k - 446. Let y be h(17). Find the common denominator of ((-60)\/(-108))\/(y\/120*-3) and (1030\/(-84))\/5 + 0.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h - 2. Let k be ((-2)\/4 + (-25)\/(-30))*54. Determine j(k).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 324770\/71864 - 57\/12.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-23)*(((u\/u**(-13))\/u)\/u)\/u)\/(u**(-22)\/(u*u**15*u)))**(3\/23) assuming u is positive.\nAnswer: u**(222\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 3*z**2 - 2*z. Let x be n(-2). Suppose x = h - 5*h + 108. Is (-6)\/h - (-1847)\/9 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 338688 and 1323.\nAnswer: 338688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -429*k + 228*k - k**2 + 230*k + 2*k**2.\nAnswer: k**2 + 29*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 30 = -10, -3*s + 2*v = -16. Suppose 0 = -2*m + 4*c - 3*c + s, -2*m + 4 = -2*c. Is 29 a factor of -3 + (-219)\/(m - (-12)\/(-8))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 270298, 540598, 810898?\nAnswer: 1081198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -782*w**5 + 110*w**3 - 98196*w - 1.\nAnswer: -15640*w**3 + 660*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y + 2. Let q(m) = -m**2 - 4*m + 1. Let t be q(-5). Calculate i(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -13*g**2. Let m(i) = 15*i**2 + 17. Determine p(m(j)).\nAnswer: -2925*j**4 - 6630*j**2 - 3757","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -3*s**5\/10 + s**4\/12 + s**3\/6 + s**2\/2 - 5*s. Calculate l(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 2*s - 8, -4 - 6 = -4*s + 2*h. Suppose -5*a = 2*n + 2*n + 1308, -5*a + s*n - 1294 = 0. Is -2 + 2 + a\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-5)*(7\/2)\/((-21)\/(-12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 5212 = 6*k - 10*k, -5*g + 6520 = 5*k. List the prime factors of k.\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*f - 25*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 + (2033\/(-171) - 33).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2)*t*t**(-1\/4)\/t)\/(t\/(t\/t**(1\/4))*t**5))**(7\/2) assuming t is positive.\nAnswer: t**(-105\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 22*t**2 - 2*t - 14. Let v be c(4). Suppose -5*f - 340 + v = 0. What are the prime factors of ((-80)\/(-24))\/(f\/(-186))?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 299850 and 300786 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1925*u - 622 + 2948*u + 624 to the form i + x*u and give x.\nAnswer: 4873","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of w**6\/120 - 2*w**5\/15 - w**4\/6 - 17*w**3\/6 - 40*w**2. Let r be o(10). Calculate the greatest common divisor of 13 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 470575 is divided by 33?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**2 + 42*x - 64. Let m be l(-23). Solve -3*y - y + 14 = -2*z, z - m = -5*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -4, -5, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -x**5\/40 + 10*x**3\/3 - 2. Let q(w) be the third derivative of n(w). Let h(o) = -5*o. Determine h(q(t)).\nAnswer: 15*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-one sixths of a millennium?\nAnswer: 82000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 2*s + s)*(-4 + 3 + 0) + 14*s - 6*s + 3*s.\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -25\/6, -0.4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of 1\/6*d**3 + 0 - 27*d - 1\/6*d**4 + d**2. Give o(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.038+-3260493.11\nAnswer: -3260491.072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -227\/5460 and -1\/1404.\nAnswer: 49140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -73 + 77. Factor -4*q**3 + 12*q + 0*q**2 + 3*q**w + 0*q**2 - 5*q**3.\nAnswer: 3*q*(q - 2)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42948 and 224.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.0200261 - -4.02. What is u rounded to six dps?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 8552856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 29 = 3*n, -13*r + 8*r = 20 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 5*d**2 - 5*d. Let q(z) = -4*z**2 + 4*z - 8*z**2 + 9*z**2 - 2*z**2. Let k = 12 - 7. What is k*q(f) + 4*b(f)?\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2467.4 rounded to the nearest 100?\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z. Let w be 4 - (0 + (4 - 2)). Let y = -11 - -12. Let v(f) = 1 - 2 + w*f + y. Determine v(p(n)).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-4 + (sqrt(272) + -1 - sqrt(272))**2 + sqrt(272) - (0 + sqrt(272) - sqrt(272))*3 - 3*((-2*sqrt(272))**2 + -5)).\nAnswer: -3255 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -o + 4*d, 0*o + 5*d = 2*o - 4. Suppose -l + 8 + o = 0. Let p(j) = j + 19. Calculate the remainder when l is divided by p(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12 + (-259)\/21)*-8*6*1\/16\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 96?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-795)\/(-954))\/((-50)\/(-1560))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 6*z**3 + 20052*z**4 - 6*z**3 - 20050*z**4 - 2*z**4 + z**4 + 5*z**4 + (0 - 2*z + 0)*(-2*z**3 + 5*z**3 - 5*z**3) - z + 2*z**4 + z.\nAnswer: 12*z**4 - 12*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(171))**2 + -1)*6 - -6*sqrt(171)*1*-3) + 1.\nAnswer: -54*sqrt(19) + 1021","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 12 = -5*x + 16, -4*a - 10 = -x. Let v(c) = -15*c - 85. Let w(r) = -r - 6. Give x*v(u) - 85*w(u).\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -102 + 107. Let j = 7 - 5. What is the smallest value in j, d, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of u**5\/15 - 15*u**4\/2 + 328*u**3\/3 + 2*u**2 + 140*u. Factor i(o).\nAnswer: 4*(o - 41)*(o - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4*a**2 + 53*a - 1. List the prime factors of m(-18).\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1248*p - 1163*p - 1065*p + 2 - 1916*p)*(-7*p**3 + 3*p**3 + 3*p**3).\nAnswer: 2896*p**4 - 2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-22))\/(6058\/286 + -21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3510\/104 - 32)*4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -14 + -19d?\nAnswer: -1b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -100 or 0?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -8*n**2. Let a(x) = 14*x**2. Give g(a(z)).\nAnswer: -1568*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8105, -16208, -24309, -32408, -40505, -48600, -56693?\nAnswer: -64784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 greater than or equal to 32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 362 + -252. Let g = 117 - h. Solve -4*z - 15 = 3*q, -2*q - 3 - g = 5*z for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 137 + -97. What is the lowest common multiple of 35 and v?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of 3*v**5\/25 - 9*v**4\/10 + 11*v**3\/5 - 9*v**2\/5 - 49. Suppose a(g) = 0. Calculate g.\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 74 - 59. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -12 - 4. Let w(h) = 3*h - 6. Let g(r) = 3*r - 5. Let f(z) = v*w(z) + 5*g(z). Suppose 3*q - 9 + 3 = 0. What is f(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*n - 37 = -8, -3*n + 37 = 5*u. Let a be (u\/(-5))\/(1\/(-5)). Solve -3*j + z + 16 = 0, 5*j - a = 2*j - z for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -79013, -158016, -236997, -315944, -394845?\n\"Answer: 2*x**3 - x**2 - 79014*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a (base 11) to base 8.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 22201202121 (base 3) to base 13\nAnswer: 602cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + l**2 - 7*l + 6. Let t be y(2). Solve -3*q + 3*o = -0*o - 3, -t*q = 2*o + 14 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 0.2, 28228?\nAnswer: 28228","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9249137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 138 - 151. Let b(h) = -4*h**3 - 8*h**2 + 6*h + 1. Let p(u) = 9*u**3 + 17*u**2 - 13*u - 2. Give o*b(y) - 6*p(y).\nAnswer: -2*y**3 + 2*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*a - 72*a + 18 = 2*n, 5*n - 20 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-4)*(-8)\/((-27)\/((-270)\/140)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/4 of a week?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o + 13. Let j be y(6). Solve 0 = 3*d - 2 - j for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4\/117 + -1142\/819. Let d be -1 + 4 + -3 + 0. Which is smaller: y or d?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = 5*x + 3*z, -x - 4*x + 5*z = 90. Which is the nearest to 0? (a) 0.4 (b) x (c) -2 (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -52*g**2 - g - 2. Calculate y(-1).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2 - 2 + 0 + 192*r - 6 - 193*r. Let s(f) = 6*f + 51. Determine 11*d(v) + 2*s(v).\nAnswer: v - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 10 = -2. Suppose s - 48 = l*s + w, 0 = 2*s + 4*w + 12. Let d(g) = -401997*g + 30. Let u be d(s). Round u to the nearest one hundred thousand.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -81*d + 66*d + 51*d - 108 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2 = 2*l. Let b be (2\/2)\/(-2 + l). Let d = 13 - 9. Is b at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - 1*12\/(-3). Suppose 5*a + 0*a - 65 = 0. Suppose 2*t = t + a. Solve v*c + t = 28 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 - -5. Let w = i + 10.09. Let f = -0.21 - w. Which is the closest to -2\/3? (a) f (b) 0.5 (c) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 146947978 to the nearest integer?\nAnswer: 12122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124*c + c**3 + 333 + 12*c - 2*c**3 - 333.\nAnswer: -c**3 - 112*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1248\/117)\/((-28)\/5*(-5)\/6).\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 14*o - 6. Let t(w) = 4*w + 1. Let g(f) = -s(f) + 5*t(f). Calculate g(-10).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 3*k**2 - 8*k + 6. Let w be x(-6). Find the common denominator of 23\/16 and 3 - 21\/w*-93.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -42a + -3?\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/9, -18530, 8, -5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 6*p**2 - p + 1. Let y be l(1). Let z = 3 + y. What is the highest common divisor of z and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3278\/55 + 4\/10 and 270?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37.8 - -6. Let c = f - 3.8. Let p = -40.00148 + c. What is p rounded to 4 dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6009.797451 rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 2) + -680 + 677 - (0 - -13)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 28*s**3*w**2 + 42*s**3 + s**2*w**2 wrt w?\nAnswer: 56*s**3*w + 2*s**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 30\/(-21) + 4 - 8\/14. Suppose 5*y - 3*r + 12 = 4*y, -3*y = -w*r + 15. Sort 2, 26, 0.5, y in ascending order.\nAnswer: y, 0.5, 2, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -18*s**2. Let c(w) = -5*w**2 - 18*w + 12. Let h(l) = 3*l - 2. Let p(r) = c(r) + 6*h(r). Calculate p(v(n)).\nAnswer: -1620*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**2 + 80*g + 186. Determine y(-37).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 571537192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -13\/231, -274?\nAnswer: -13\/231","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -b**5\/10 - 3*b**4\/8 + b**3 + 31*b**2\/2 - 29. Let h(t) be the second derivative of a(t). Let h(i) = 0. What is i?\nAnswer: -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 5*k**3 + 4*k**2 - k + 1. Let g(q) = 6*q**3 + 5*q**2 - q + 1. Let y = -10 + 14. Let l(j) = y*g(j) - 5*f(j). Calculate l(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of 11*k**7\/5040 + 2*k**5\/5 + 8*k**2. Let b(j) be the third derivative of i(j). Let p(z) = -3*z**2. Calculate p(b(y)).\nAnswer: -363*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 8*r - 207. Let a = 38 + r. Solve -a = -5*c + 2*c, 4*o + c + 3 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00113443 to 5 decimal places.\nAnswer: -0.00113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, 31, 37, 59, 103, 175, 281, 427?\nAnswer: 619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) + (sqrt(1331)*5 - sqrt(1331)))*4*-3.\nAnswer: -660*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 425911969 to the nearest integer?\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 3*d - 3 - 12, 25 = -d - 5*r. Suppose 7*n + 10 = l + 3*n, 4*l - 2*n - 12 = d. Let y be (-2)\/l + -1 - -4. Solve -v + 2 = -y for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z + 38*z**4 + 2*z + z**3 - 64*z**4 - 2*z**2 in the form l*z**3 + r*z**2 + f + c*z**4 + u*z and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, 1, 6, 0.062423 in increasing order.\nAnswer: -3\/5, 0.062423, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 147628 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7803 + -7842 + (-2 - -2 - -1)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n**2 + 3*n**2 + 0*n**2)*(0 + 0 + 3*n)*(-12*n + 2*n - 3*n).\nAnswer: 78*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13215\/(-3524)*8\/(2\/1).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 12*r - 18. Suppose -r*b + 5707 = 10*b. What are the prime factors of b?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*t**4 - 93*t**2 - 590551*t wrt t.\nAnswer: 108*t**2 - 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-16)\/(-3))\/(((-4)\/(-9))\/4). Calculate the greatest common divisor of f and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - (-1 + 2)*-2. Let z(w) = 1 + 89*w - h + 4 + 1. Is z(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 1 = -1 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**4*w**2 + 4*c**4 + 4*c**3*w**2 - 10*c**2*w**2 - 2*c**2*w + c*w**2 wrt c.\nAnswer: -24*c*w**2 + 96*c + 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 116139.177s in days?\nAnswer: 1.3442034375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007407 to 6 dps.\nAnswer: 0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uusu when four letters picked without replacement from kuskspusikukksiuk?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.79 and -5.\nAnswer: -23.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38 - 31. What is the common denominator of 2\/y - (-2502)\/(-84) and -59\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2819 + (1 - 2)\/((-22)\/(-132))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/5, 0.11, 1, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5147 + -5b7?\nAnswer: -5742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + 6*y + 2. Let u(r) = 5*r**2 + 32*r + 11. Let m(b) = -11*h(b) + 2*u(b). Let x(l) = 2*l**2. Give m(x(z)).\nAnswer: -4*z**4 - 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (35172\/68)\/((-2)\/2). Let q = -517 - m. Let w be 0\/(-3)*(5 - 9\/2). Is q less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (16 + -3)) + 1 + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 5:22 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 4.5.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -q**4\/2 + 2*q**3 + 3*q**2 + 2*q - 24. Determine u(5).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-154)\/(-154))\/(2\/(-584)). Sort -0.4, 0.09, k in descending order.\nAnswer: 0.09, -0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0094 * -0.250365.\nAnswer: 0.002353431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (1 - (9 - 5))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*w**2 + 0*w**2 + 16*w**2)*(4*w + 2*w - 4*w)*(1 - 2 + 3 + (4 + 0 - 5)*(-1 + 1 - 1)) - 9*w + 9*w - 5*w**3.\nAnswer: 37*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*p = 13, d - 3*p - 9 = -23 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -237, -473, -1081, -2253, -4181?\nAnswer: -7057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.14 - -0.22. Let h = j - 0.38. Which is the nearest to -10? (a) -4 (b) h (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 5*i - 12, 2*i + 18 = 16*k - 10*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**2 - 3*j**2 + j**2)*(2496*j + 5618*j + 6415*j - 4635*j + 3928*j).\nAnswer: 13822*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1163119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 - 9 = -2*a. Let d = a + 13. Factor 3\/5*u**2 - 1\/5*u + d - 3\/5*u**3 + 1\/5*u**4.\nAnswer: u*(u - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*o + 3. Let t(c) be the first derivative of c**4\/4 - 5*c**3\/3 + c**2 + 26. Determine t(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(10) + sqrt(80)\/(sqrt(8) - sqrt(200)) - sqrt(10)) + -2*sqrt(640))\/(2*sqrt(800)).\nAnswer: -13*sqrt(5)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/9 - 1\/(-15). Suppose 32 = -2*z - 173*a + 177*a, a - 15 = -3*z. What is the second biggest value in -40, z, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.1 + 5.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z**4 + 2930*z**3 - 61785*z**2 - 144180*z + 203040 = 0.\nAnswer: -3, 1, 24, 564","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or -1\/2740?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*q - v, 5*q + 2*v - 10 = -0. Let l be q*(-1 + 4 + -2). Suppose 4*o - 2*b = 142, 0*o + l*o = -b + 77. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m**3 - 496*m**2 + 5136*m + 539136 = 0.\nAnswer: -26, 54, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 0. Let h = m + -0.6. Let r = -0.584 - h. Round r to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 8:42 PM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q = 2*a - 35, 0 = 3*a + 47*q - 48*q - 9 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of 4\/3*k**3 + 0*k**4 - 7*k**2 - 1\/30*k**5 + 0*k + 0. Suppose a(w) = 0. What is w?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 6*i + 10*i - 97 = 0, 66 = 3*k + 5*i. Let x be (-68)\/k*1\/(-2). What is the fourth smallest value in -2\/19, 1, x, -0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2 + 3*(-2 + sqrt(2)))**2 - ((sqrt(18)*5 - (-2 + (sqrt(8)\/sqrt(4))**2)) + -2).\nAnswer: -27*sqrt(2) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1553 or -1555?\nAnswer: -1553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(252)\/(sqrt(21)\/sqrt(3)))\/(sqrt(96)\/sqrt(128))*2.\nAnswer: 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 688*d**2 + d. Suppose -3 = -5*q + 2. Is o(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -32396740*u**2 + 29483356 wrt u.\nAnswer: -64793480*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.06 (b) 2\/23 (c) -2 (d) 0.3 (e) 3 (f) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2)\/j)\/j**3)\/((j**0*j)\/(j\/j**(-5)))*((j*j**(-1))**1)**(9\/2) assuming j is positive.\nAnswer: 1\/j","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127911?\nAnswer: 3, 7, 6091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**3)**(16\/3)\/((g*g\/(g*g*g*g**(-33)))\/g**(-24)))**(4\/5) assuming g is positive.\nAnswer: g**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -y**9\/2520 - y**7\/315 + y**4\/2 - 5*y**2. Let z(g) be the second derivative of h(g). Find the third derivative of z(k) wrt k.\nAnswer: -144*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-10))\/(843\/(-60) - -14). Let l(h) = 4*h + 8. Determine l(w).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7913 is divided by 3949.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/11 - 564*a\/11 - 39762\/11.\nAnswer: -2*(a + 141)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, u: 1, j: 1}. Give prob of sequence cju.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-8)*z)\/z**12)**(-35)*((z**(-13)\/z)\/(z\/(z**(-2)*z)))**(-1\/9) assuming z is positive.\nAnswer: z**(6001\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2228.\nAnswer: 2, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.776092 rounded to three dps?\nAnswer: -0.776","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 1823*w**3 + 1824*w**3 + w + 56 + 5 - 3650*w**3 + 2*w**4 in the form r*w + k*w**2 + u*w**4 + x*w**3 + y and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 7:15 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 399.\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 5*v**2 + 56*v + 5. Determine d(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/19 + 1946*g**2\/19 - 22310*g + 1104850.\nAnswer: 2*(g - 95)**2*(g + 1163)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**4\/2 - 39*q**3 + 216*q**2 + 695*q - 1743\/2 = 0. Calculate q.\nAnswer: -83, -3, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 964 = 2*j + 2*q, -5*j = -3*q - 1194. Let f = 26 - j. Let b = -53 - f. Is 23 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1954?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i + 1. Let x(v) = -7*v**2 - 4*v + 9. Let g be 6\/(3\/(-2)*(-2)\/3). Let t(p) = 8*p**2 + 5*p - 10. Let m(b) = g*t(b) + 7*x(b). Determine -2*h(a) + m(a).\nAnswer: -a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40 - -40. Which is smaller: x or -2\/59?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 8) in base 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 21 (b) -0.1 (c) 0 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144 is divided by 117?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2722365, 7, -2 in decreasing order.\nAnswer: 7, -2, -2722365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/(-24) - (-6)\/4. Solve 4*k - 13 + q = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/6)\/(28\/126)*(-40)\/165.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + (-1)\/2)*42. Let u(s) = s**3 + 4*s**2 - 52*s - 214. Let y be u(-5). Is n bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 31 = -4*t + 4*l, -5*t - 4*l = -9. Suppose 0 = x - 5*x + 56. Let z be (-12)\/18 - x\/6. Sort -1, z, t in descending order.\nAnswer: t, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8658 - 5896. List the prime factors of d.\nAnswer: 2, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (102 - 1) + (-11)\/(99\/(-27)). Calculate the greatest common factor of 195 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6454 + 2111 = -571*j for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 12*t**2 - 71*t + 1. Let i be f(6). Let k(v) be the first derivative of i + 1\/2*v**2 + 2*v. Differentiate k(y) with respect to y.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of l**3*z + 5*l**2*z - 2*l*z - 22*z - 7 wrt l.\nAnswer: 3*l**2*z + 10*l*z - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14110 and 742560.\nAnswer: 61632480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36 - 39. Let n be ((-4)\/(-6))\/((-3)\/(-9)). Suppose -h - n = -11. What is the smallest value in c, h, 1\/10?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 4*z = 1905, 6*j = 5*j + 4*z - 381. Let t = -348 - j. Calculate the least common multiple of 18 and t.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*r**3 + 22 + 10 - 33 + (-2*r - r + r)*(-r**2 - 2*r**2 - r**2)*(-3 + 1 + 0) to the form x + n*r**2 + s*r**3 + u*r and give s.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -147*-9.043\nAnswer: 1329.321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 197\/3 - 371\/6. Calculate the common denominator of (-308)\/(-80) - (-2)\/8 and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 0.038.\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1346?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -197.4 - -197. Let d = 1\/18 - -4\/9. Let t = -2 + 2.2. Which is the closest to d? (a) -5 (b) t (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + -8 + -3 + 23.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1844 by 10.\nAnswer: -922\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 1023?\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*c + b + 98 = 0, c + 2*b - 39 = 0. Let r = 170 - c. List the prime factors of r.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-2 + 0 - 3) - (-34 + -78 + 28).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 356001?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/(sqrt(8)\/sqrt(4)) + -1 + sqrt(19) + 5 + -5 + -3)**2.\nAnswer: -16*sqrt(19) + 92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1*sqrt(425) + sqrt(425) + 0 + sqrt(425) + 0 - (-3*(sqrt(425) + 0) + (sqrt(425) + 2 + sqrt(425) + 2 - sqrt(425))))**2.\nAnswer: -120*sqrt(17) + 3841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**3*s\/(s*s*s**(-7)*s))\/(s**(-5\/2)*s**(-1))*(s**0)**(-1)*s**(-1\/2)\/s**(-1\/4) assuming s is positive.\nAnswer: s**(45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -5 + 3. Suppose 0 = 2*p - r - 3. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**4\/5 + 302*g**3\/5 - 596*g**2\/5.\nAnswer: -2*g**2*(g - 149)*(g - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -701, -1272, -1843, -2420, -3009, -3616, -4247?\n\"Answer: -x**3 + 6*x**2 - 582*x - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -3) + 0 + 3 + 9 + -17\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23878270*l**4 + 16325*l + 388 wrt l?\nAnswer: 286539240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.1691121 tonnes?\nAnswer: 169.1121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 14*z - 96. Give t(7).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111002 - 1?\nAnswer: -111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*x - 8*x. Is x greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5009 + 3989 - 5152 = -1426*s - 10414 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -461, -1211, -1959, -2705, -3449, -4191, -4931?\n\"Answer: i**2 - 753*i + 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*x + 269*x = 858. Solve -166*h - x = -168*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0727 rounded to 3 dps?\nAnswer: 0.073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -8*t - 3. Let x be a(-1). Let g = 3 + -2.76. Sort g, -1, x.\nAnswer: -1, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 35 = 5*b. Suppose 4*k - 25 = 5*y, -4*k = -6*y + b*y - 21. What is the units digit of (5 + y)*(-30)\/(-40)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 372*n + 4484. Give p(-12).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -59499, -59433, -59367?\n\"Answer: 66*a - 59565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 0.213?\nAnswer: -0.0426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3100 divided by 620.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -43\/75453?\nAnswer: -43\/75453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -4*t - 5. Let u(g) = -3*g**2 + 9*g + 8. Let l be u(4). What is j(l)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 9*i**2 + 27*i + 60. Suppose w = 5*w - 12. Calculate the least common multiple of f(-11) and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 483599 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.1, 41.3, 3, 127, -1\/2?\nAnswer: 127","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1302 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of 6*v**5\/85 - 10*v**4\/17 + 18*v**3\/17 - 10*v**2\/17 + 44. Let o(q) = 0. Calculate q.\nAnswer: 0, 2\/3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + 4 - -2) + (-66 - -54 - (-5 - 4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 53612943 to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*g + 18*g + 47*g + 389 = -7421 for g.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1677997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.2477239 rounded to 0 dps?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 3)*(-6 - 9 + 2)*(5*l + 2*l - 3*l) as i*l + y and give i.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*g + g. Let x = 254.4 + -252.4. Which is the smallest value? (a) 5 (b) g (c) -5\/4 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 798*t + 961*t = -79026 - 15960 for t.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 5. Calculate the remainder when (4\/(-6))\/(2\/(-24)) is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*((f\/(f\/(f\/f**(-6)))*f)\/f)\/f*f**0*f)\/(f**1\/(f**10\/f)) assuming f is positive.\nAnswer: f**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7521174 and 762858.\nAnswer: 2754","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 7 = -3*s, -4*n - 2*s - 3*s = -21. Suppose 0 = -2*t - t + k + 16, 0 = -t - n*k + 1. Suppose -r = t - 3. Which is smaller: -3\/5 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23001 is divided by 217.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -4257, -1.2, 2, -11 in descending order.\nAnswer: 2, -3\/5, -1.2, -11, -4257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 10*u**2. Let f(j) = -4*j**2 - 6*j + 3. Let h(s) = -2*s**2 - 2*s + 1. Let z(n) = -f(n) + 3*h(n). Calculate z(r(d)).\nAnswer: -200*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 0.061, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 2*w = 3*w + 13, 0 = -4*l - 5*w - 7. Let f = 15 + -13. Differentiate -m**f - 7 + 4*m**l + 6 with respect to m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 72016882.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 5. Factor -5*v**4 + 6*v**n - 4*v**4 - v**2 - 3*v**3 - v**5.\nAnswer: -v**2*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2640 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 301*b - 49. Let u(o) = 601*o - 86. What is 7*t(f) - 4*u(f)?\nAnswer: -297*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(17) + sqrt(68))**2 - sqrt(17)) + 2 + -4 + (sqrt(17) + 0)*-5.\nAnswer: -6*sqrt(17) + 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 496*b**2 + 93*b - 380. Is d(17) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 318*q + 515*q - 596*q + 152*q + 109*q.\nAnswer: 498*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 497 is divided by 242?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-207.\nAnswer: -828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*h**5\/11 + 2*h**4\/11 + 130*h**3\/11 + 78*h**2\/11 - 124*h\/11 - 80\/11 = 0. What is h?\nAnswer: -4, -1, -2\/3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -138, -196, -254, -312, -370, -428?\nAnswer: -486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -112 + 5486114?\nAnswer: 5486002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y + 10, -y - y + 8 = -4*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -7*y + 42. Let q be p(6). Factor q*t - 2\/9*t**4 + 0*t**3 + 0 + 2\/9*t**2.\nAnswer: -2*t**2*(t - 1)*(t + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1*(sqrt(198) + (sqrt(198) - -3*sqrt(198) - sqrt(198)))*1)\/(-4*sqrt(11)*-1 + sqrt(11) + sqrt(11) + sqrt(33)\/(sqrt(3) + sqrt(48))).\nAnswer: -60*sqrt(2)\/31 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -2*j**3\/3 + 14*j + 227. Let p(u) = 8*u**2. Calculate p(o(w)).\nAnswer: 32*w**4 - 448*w**2 + 1568","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 182.14 rounded to 0 dps?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from fnccfma?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 4:06 AM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 478, 961, 1444, 1927, 2410, 2893?\n\"Answer: 483*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oxoaxxxobooxoobobx. Give prob of picking 1 o, 1 a, and 2 x.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12798528 by -4.\nAnswer: 3199632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 171091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -7 - 6. Let v = -287 - -289. Let d(p) = -11*p - p**2 - v*p**2 + 25*p - p**3 + 15*p**2 - 16. Calculate d(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -138, 158, 7, 5, -2 in descending order.\nAnswer: 158, 7, 5, -1, -2, -138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3061480298 to the nearest integer?\nAnswer: 1452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a = 21*a - 65. Suppose 2*o = -2*i + 14, -3*o + 6*o + i - a = 0. What is the smallest common multiple of o and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/3 + (-28)\/210\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 0*m + w = 28, 4*m - w - 17 = 0. Suppose -2*l = -4*n + 122, 0*n + 2*n - m*l = 65. What is the remainder when n is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g + 9. Let l be n(-4). Suppose -s = 3*s + v - 81, 57 = 2*s - l*v. Does 3 divide 1\/(0 + 3\/s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 278524?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 590\/((-21)\/9 + 3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (45 + 20 - 22)*(0*w - w + 3*w) to c*w + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 22*r**2 + 42*r - 1. What is the units digit of j(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 456656?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/11 (b) -1\/2 (c) 0 (d) -0.2 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2508, 4558, 6748, 9078, 11548, 14158?\nAnswer: 16908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*d*t**2 + 97*d*t + 710*d + 91*t**4 - t**2 - 34 with respect to t.\nAnswer: -6*d*t + 97*d + 364*t**3 - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 61 + -47. What is the remainder when s is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 355349 is divided by 115.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of 0*m**3 + 16*m + 0 + 3\/2*m**2 - 7\/12*m**4. Differentiate w(l) wrt l.\nAnswer: -14*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -314, -2354, -7836, -18482, -36014, -62154, -98624, -147146?\nAnswer: -209442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 1133*a**2 + 55*a + 55. Let q(y) = -42*y**2 - 2*y - 2. Calculate 110*q(j) + 4*v(j).\nAnswer: -88*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 40 = -4*a, -19*a - 14 = -15*a - 5*d for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3*q - 6. Let c(n) = -n**2 + 5. What is b(c(o))?\nAnswer: 3*o**2 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6395805 divided by -29\nAnswer: -220545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - 4*j + 4. Let i be g(4). Suppose 0 = -0*a - 2*a + 14. Suppose -3*p = -s + 7, -4*s - p = -8 - a. What is the greatest common factor of s and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10782 - -11802.2. Round j to the nearest 10.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -117500 rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(-1\/16)*d\/(d*d**5*d)*((d*(d*d**(-11\/3)\/d)\/d)\/d)\/((d*d*d**(-5\/2)\/d*d)\/d*d*d*d) assuming d is positive.\nAnswer: d**(-539\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 11:10 AM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*k**6 + 295*k**4 - 22*k**3 + 216459*k**2.\nAnswer: -360*k**3 + 7080*k - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*g**4 - 28*g + 29*g + 7*g**4 + 2*g**2 - 39*g**3 + (3*g - 5*g + 0*g)*(2*g**3 - 2 + 2) - g**4 + 0*g**4 + 4*g**4.\nAnswer: -3*g**4 - 39*g**3 + 2*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-140)*3 + 7\/28\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -8*p + 13*p - 33, 0 = 5*n - 5*p + 5. Suppose 51 = n*r + 47. Sort r, 24, 3, -1 in descending order.\nAnswer: 24, 3, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4875?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 23*p**3\/2 + 4851*p**2\/2 + 2204*p - 210 = 0.\nAnswer: -210, -1, 2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w. Let t(n) be the second derivative of -n**3 + n**2\/2 + 9*n. Calculate h(t(l)).\nAnswer: -6*l + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -22 (b) 0.3 (c) -38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 + 295 = 2*r - 2*b, 0 = -5*r - b + 910. Let f = r - 1628\/9. Let t = 0 - 0. Is t smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12948473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 566045 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/7 (b) -3 (c) 954 (d) 0.2 (e) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -141*h**4 - 1 - 3613*h + 3612*h + 3 + 2*h**2 - 2 to t*h**2 + d + g*h**3 + p*h**4 + m*h and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -140, -286, -444, -620, -820, -1050?\n\"Answer: -n**3 - 139*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -868*p*u**2 + 2*p*u - 398192*p - 18*u**2 + 2*u wrt u?\nAnswer: -1736*p*u + 2*p - 36*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 3. Let t = -0.3 - -1.3. Let b = t + -0.6. What is the second smallest value in 1, b, w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1740 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*v = -v + 29, 4*q = v + 65. Suppose -3 = -5*a + 2*a - j, -2*a - j = -2. Let z(w) = 16*w**2 + w - 1. Let u be z(a). Which is bigger: q or u?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 645729?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 506 and 8.\nAnswer: 2024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3847670*x**3 - 2*x**2 + 6166855 wrt x?\nAnswer: -23086020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5 + ((-1*sqrt(891))**2 - -2*sqrt(396)).\nAnswer: 12*sqrt(11) + 883","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 15 = -3*r, 0 = 3*r - n - 3*n + 9. Sort -2, r, -28 in descending order.\nAnswer: r, -2, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 54 = 10*t. Let v be t\/9 - (-34)\/6. Suppose 284 - 74 = v*b. List the prime factors of b.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 6, 1469.\nAnswer: 3, 6, 1469","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*n - 79*n - 43 = 3*f, 118 = -15*n + 10*f - 8*f for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13441 (base 5) to base 2.\nAnswer: 10001100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 3 + (3 - -3). Let t = q - 4. What is the remainder when t is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(165)*-5)\/sqrt(11))\/(sqrt(363) + sqrt(363) + (sqrt(363) + -1*sqrt(363))*-2).\nAnswer: 5*sqrt(5)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1*sqrt(110) + sqrt(110) - sqrt(110))*3)\/(-6*1*sqrt(1210) - sqrt(1210)).\nAnswer: 9*sqrt(11)\/77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -19) + -2 + 8 + 3.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 g, and 1 t when three letters picked without replacement from htglp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170 = -2*r + c, 68*c = 2*r + 70*c - 188. Calculate the greatest common factor of 913 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/7 (b) -5 (c) -9\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of -1\/70*p**5 + 1\/42*p**4 + 0*p**3 + 0 + 0*p**2 - 3*p. Factor m(t).\nAnswer: -2*t**2*(t - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of 0*n**5 - 1\/210*n**7 - 1\/8*n**4 + 0*n + 0*n**3 + 0 + 2*n**2 + 0*n**6. Find the second derivative of d(a) wrt a.\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -169 - -182. Let i(l) = -4 + l**3 - w*l**2 + 7*l**2 + 0*l**3 + 3*l**2 + 3*l. Let p(u) = 2*u**2 + 2*u - 1. Let x be p(-2). Determine i(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -3*s - 9, 4*i + 4 = -16. Find the third derivative of -28*a**4 - 64*a**2 - 4 + 15*a**4 + 56*a**s wrt a.\nAnswer: -312*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of j**5\/5 + 7*j**4\/12 - 4*j**3 + j**2 + j - 6. Is t(13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 h when two letters picked without replacement from {y: 3, n: 3, h: 3, r: 3}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 268, 522, 776?\nAnswer: 1030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-42)*12)\/(36\/14).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 5291*s - 1008. Is h(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18259, 36621, 54989, 73363, 91743, 110129, 128521?\nAnswer: 146919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4926 is divided by 1639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*k - 157*k + 45*k.\nAnswer: -66*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 150373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 81620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -384934.7514 - -384899. Let p = f + 35.3514075. Let c = -0.4 - p. What is c rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.02, -2, 4, -357, -1\/23, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, 0, -2 in increasing order.\nAnswer: -50, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of q**4\/78 - 7*q**3\/39 - 8*q**2\/13 + 4*q - 17. Find y, given that a(y) = 0.\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 13, 31, 61, 109, 181, 283?\n\"Answer: o**3 + 11*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4370?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2039982640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y - 293. Let i(r) = 39*r - 58. Determine i(q(k)).\nAnswer: 78*k - 11485","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258*p - 31028 - 16 = 10236. Calculate the remainder when 370 is divided by p.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 1)*1\/(-35). What is the third smallest value in v, -0.1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 5*x + 2752, 14*f - 12*f = -5*x + 5579. Does 20 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -218 - -220. Find the third derivative of -o - 5*o - 38*o**y + 4*o + 142*o**3 - 237*o**3 wrt o.\nAnswer: -570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338676 is divided by 169336?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -275, -0.059, 1.2 in increasing order.\nAnswer: -275, -0.059, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 610673567?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (38680\/(-6))\/(-5) + 6\/9. Let f = x - 203. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17028489 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23 and 10741?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 831835 divided by 5?\nAnswer: 166367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7114026 (base 8) in base 5?\nAnswer: 434431232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c**3 + 3*c**2 - c + 2. Let i be z(2). Let q(b) be the third derivative of b**5\/30 + 5*b**4\/24 + 2*b**3\/3 - 2*b**2. Is q(i) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*f + 0*f**3 + 1\/3 - 2\/3*f**2 + 1\/3*f**4.\nAnswer: (f - 1)**2*(f + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 2437.\nAnswer: -731.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-2\/3)*g\/(g\/g**(-5))*(g**(-2\/3))**(-3))**(-4) assuming g is positive.\nAnswer: g**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4\/3 (b) -23 (c) -2\/851\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((3 + (-2 + (sqrt(288) - (sqrt(288) - (sqrt(288) - (sqrt(288) + 0)))) + sqrt(288))*-6)**2*-3 + 1)*4.\nAnswer: -155520*sqrt(2) + 762672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from ipnywpi.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + sqrt(931)*1).\nAnswer: -7*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 6*j**2 + 1. Let p be g(-1). Suppose -4*h + 1 = -19. Suppose -q + 3*y = -2 - 1, -h*y + 46 = 4*q. Is q at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11288 (base 9) in base 7?\nAnswer: -30650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j - 171*j**2 - 166*j**2 - 22*j**3 - 17*j + 337*j**2.\nAnswer: -22*j**3 - 25*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of 53*n**6\/3 - 59*n**3\/3 - 5*n + 306. Find the third derivative of t(l) wrt l.\nAnswer: 6360*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 4*r + 56, -5*x + 0*x + 48 = -2*r. Let g = 15 - x. Find the third derivative of -w**4 + w**4 - 6*w**2 + g*w**4 wrt w.\nAnswer: 168*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-48)\/(-9)*3 - -3. Suppose 284 = -k*j + 23*j. Does 10 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*f**4 - 55*f**3 + 75*f**2 + 135*f = 0. Calculate f.\nAnswer: -1, 0, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/5)\/(68\/(-15)). Let k = 183\/476 - z. What is the nearest to -0.1 in -2, 15, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u**3 - 12*u**2 + 9*u + 2. Let g be q(3). Which is the fourth smallest value? (a) g (b) -0.1 (c) -5 (d) -25\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.3, 59\/4, 3\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*o**4 + 4*o**4 + 3*o**2 - 1 + o**2 + o**4 - 2*o as z + b*o**4 + h*o + w*o**3 + q*o**2 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -401*k - 186. Calculate p(-3).\nAnswer: 1017","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**5\/3 - b**4\/3 - 19*b**3\/3 - 11*b**2\/3 + 10*b = 0.\nAnswer: -3, -2, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + a**2 + 3*a - 6. Let m be g(4). Let c be 2 - 56\/30 - 62\/15. Let u be c\/30*(6 + 287\/m). What is the nearest to 1 in 0, u, -1\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 1486 = -2070. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -1211000?\nAnswer: -1210221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -396, -3078, -10364, -24558, -47964, -82886?\nAnswer: -131628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 8:28 AM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108 is divided by (-3)\/(-2)*(-5 - (-178)\/6)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.5, -0.4, -2\/2227.\nAnswer: -0.5, -0.4, -2\/2227, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (-15 + 10)*-3 + -18.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 164 + -166 + (-1 - -2) - -11\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-2)\/4)\/(3\/15).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2918?\nAnswer: 2, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (41*u**3 - 58*u**3 - 53*u**3)*(-u + 0*u - 2*u) in the form y*u + j*u**4 + k*u**3 + v + r*u**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 0, -2*n = z - n - 11. Let o = 31.7 + -32. Which is the smallest value? (a) -3 (b) z (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 4:54 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25709650.\nAnswer: 2, 5, 167, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-13\/5)\/x**11*(x**(2\/11))**(20\/7) assuming x is positive.\nAnswer: x**(-5036\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -10*t - 77. Give j(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g = -122*i - 854, 5*i - 336*g + 35 = -334*g for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.0023, 1, 0.5, 4\/5?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v = v - 204. Suppose v = 5*h + 232. Let i = 55 + h. Is i a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 3*q - 49, -46 = -5*q + 2*q - 2*h. Suppose -5*s + q = 1. Let v(n) = 208*n + s*n**2 - 208*n. Let u(x) = 3*x**2. What is u(v(g))?\nAnswer: 27*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-116)\/4640*(-3 - -15) - 366\/(-20).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -10*q - 3. Suppose 3*h + 4*o + 5 = 0, 0*h - 4*o = -3*h - 13. What is the lowest common multiple of 9 and z(h)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -845, -846, -847, -848?\nAnswer: -849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 383088183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 141?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l + 2*l + 9*l + 3*l - 4*l.\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2909.8 and -0.1?\nAnswer: 290.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14134?\nAnswer: 2, 37, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/54)\/(2 + 11\/(-6)). Suppose 2\/3*a**2 + 0 + w*a = 0. What is a?\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 14*s**2 + 9. Let d be t(14). Let v(g) = g + d*g + g - g. Let x be v(2). Solve 4*w + x = -w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -15*a**2 + 177*a - 156. Calculate g(11).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -328c (base 14) to base 6.\nAnswer: -104300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 4 = j. Suppose j*p - 4*p = 270. Suppose -19 = -2*u + p. What is the greatest common factor of u and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 940558.1 micrometers in centimeters?\nAnswer: 94.05581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 233 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: What is 652 minutes before 6:48 AM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u - 6*u + 12 = -164 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24256 and 1552.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 9:02 AM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -5*o**2. Let d(a) be the third derivative of 0 - 25*a**2 + 1\/6*a**4 + 0*a**3 + 0*a. Give d(b(s)).\nAnswer: -20*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 1:19 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 701*r + 404*r + 157*r as b*r + w and give b.\nAnswer: 1262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-40 - 1539\/(-38))*146\/1719 and -38.\nAnswer: 1719","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2088 and 3509?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*h + 48760 = 50752 for h.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11269 to the power of 1\/2, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.033 + 2219820795.2.\nAnswer: 2219820795.167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/34*(-44)\/(-176).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1518562670?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from -262336439.\nAnswer: -262336439.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 9*m**3 - 17*m**2 + 3*m + 17. Let l(u) = -8*u**3 + 13*u**2 - 3*u - 13. Calculate -3*l(w) - 2*v(w).\nAnswer: 6*w**3 - 5*w**2 + 3*w + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 8*b + b - 759. Does 7 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**0)**(1\/21)\/(m**0*m*m\/(m**(-5)*m)))**(-46) assuming m is positive.\nAnswer: m**276","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = t + 1 - 13, 4*u = 26*t - 24*t - 58 for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 956 + 8. Let h = 964.00004615 - w. What is h rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 8*z**2 - 7*z - 8. Let k be n(9). Suppose 0 = -6*q + k - 28. Suppose 12 = 3*v + v, 4*f + 31 = 5*v. Sort q, 1, f in increasing order.\nAnswer: f, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -12, 0.02, 2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -22*j + 102. Let v(o) = 4*o - 17. Let p(g) = -34*v(g) - 6*w(g). Is p(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1 + 21*y**3 + 11 - 23*y**3 with respect to y.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of y**5\/20 - 7*y**4\/12 + 2*y**3\/3 + 5*y**2\/2 + 51*y. What is g(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -571212 times 0.3?\nAnswer: -171363.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*6 + -1 - 1. Let r = z - 2. Suppose -3*c - 5*b + 38 = -r*c, -16 = -4*b. What is the remainder when 53 is divided by c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*p**4 - 736*p - 2149?\nAnswer: 8*p**3 - 736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(275) + sqrt(275) + -5*(sqrt(275) - (sqrt(275) - sqrt(275)*-5)) + sqrt(275) + 2 + -3 + sqrt(275))**2*5.\nAnswer: -5800*sqrt(11) + 4625520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by -4 - (3 - 7 - 1) - -40.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/(-6))\/((-2)\/(-3)). Suppose 81*j + 5 = -114 - 124. Let i be ((-2)\/1)\/(6\/3). Sort p, j, 3, i.\nAnswer: j, i, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 divided by -96?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b + 3*b + 6*b - 4*b.\nAnswer: 9*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 307 + 3*n - 307 to z*n + a and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 967.3563 milligrams in kilograms?\nAnswer: 0.0009673563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -305.8711 - -307.38. What is z rounded to 2 decimal places?\nAnswer: 1.51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 3:05 AM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-1\/2))**1*t**4\/t*t*t**(-2)*t*t)**4 assuming t is positive.\nAnswer: t**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.56 - 0.6. Let m = o + -1.2. What is m rounded to two decimal places?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1332 - 11230333002?\nAnswer: -11231001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-4))\/(456\/64 + -7). Let p be (2 - 1)*-1 + n + 15. Calculate the greatest common divisor of p and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8101 (b) -0.1 (c) -0.86\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14370?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 0, -17, -56, -123, -224, -365, -552?\n\"Answer: -w**3 - 5*w**2 + 5*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 7*t - 144. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**4 + w**4 - w**4 + (-4 + 4 + 2*w**3)*(2*w - 6*w - 3*w) + (2*w + w**2 - 2*w)*(1 - 1 - 2*w**2).\nAnswer: -18*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.077 >= -1939?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -1, -0.1809 in ascending order.\nAnswer: -1, -0.1809, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 4*s**2 + 5*s + 9. Let i be f(5). Let x be (-1)\/((-2)\/(-8)) + i. Suppose -5 = -3*c + 1. Solve d - 10 = -c*g + x*g, -d - 2 = g for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -102 by -6.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + 0.1316?\nAnswer: -16.8684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/5*((-210)\/(-6))\/(-7)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1153 greater than 1154?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -39760, 2, 22, 199 in decreasing order.\nAnswer: 199, 22, 2, -39760","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 61bb (base 12) to base 7\nAnswer: 43031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/(16\/(-4)))\/(-1))\/(-2)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of -7*m**6 - 914*m**3\/3 - 703. What is the third derivative of o(q) wrt q?\nAnswer: -2520*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 118286884 by -1564.\nAnswer: -75631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4835?\nAnswer: 5, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 6 = -2*r. Let y(f) = -7 + 2*f**2 + 15 - 3 + 2*f**r. Let q(p) = -p**2 - 1. Determine 5*q(i) + y(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -5*k - 25, -16 = -k - 5*v + v. Let g = 11 - -4. Suppose 5*d + 25 = 3*j, -d - g = 2*d - 3*j. Is d smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(55)*-1)\/sqrt(11) + -4 + (sqrt(5) - (-4 + (sqrt(5) - (sqrt(5) - sqrt(20)\/sqrt(4)))**2))*3 + 4.\nAnswer: -3 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96913 and 12175?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13264086 to the nearest integer?\nAnswer: 3642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 11:08 PM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -11245110 to the nearest 100000.\nAnswer: -11200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2088 and 213904.\nAnswer: 1925136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 7*y = 2*y + 44, 3*c + y = 40. Suppose 18*b = 2*b - 640. Let x = 45 + b. Solve 2*t + t + c = 0, 3*p = -x*t - 29 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8805?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 488935*j + 316*j**2 - 488935*j.\nAnswer: 316*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/4, 3, -0.4, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1386693 divided by 1\nAnswer: -1386693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.11, 0.2, 2\/9, -2, 3, -41 in ascending order.\nAnswer: -41, -2, -1.11, 0.2, 2\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4*h - 3. Determine l(-7).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41151990 is divided by 260.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 482*q - 183.\nAnswer: 482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 28081? (a) -0.23 (b) 1 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/16)\/(27\/(-1)*(-4)\/36)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 2*c - 4. Let b(p) = 20*p - 2. Calculate the remainder when b(c) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 1349821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 165\/(-66) + 62\/28 + (-1314)\/(-63). Find z, given that -16\/7*z + 16*z**2 + 0 + j*z**4 - 228\/7*z**3 = 0.\nAnswer: 0, 1\/4, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50 (base 13) to base 2\nAnswer: 1000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/42818 and 81\/8.\nAnswer: 171272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2570386?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/5 + 576*x\/5 + 82944\/5.\nAnswer: (x + 288)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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 next term in 68, 133, 198, 263?\nAnswer: 328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.62902 from -0.4.\nAnswer: -1.02902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -218 - -122. Let i be r\/10 - 4\/10. Let z be 8\/(-10)*i\/4. Let s(x) = x**3 - x**2 - 3*x + 1. Determine s(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (96\/(-15))\/((-8)\/(-40)). Let l = -30 - o. Suppose -3*q - 24 = -2*n, 0*n - 3*q + 12 = l*n. 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: What is prob of picking 1 t and 1 g when two letters picked without replacement from tegeggzzqteeztlttgz?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ha when two letters picked without replacement from jsdakjkkjjkjhaakdkjd?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -12. Let x = -15 + j. Let f be (-3)\/2 - (-2 - 0). Put 2\/3, f, x in increasing order.\nAnswer: x, f, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(99) + 0))**2.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 361405002 to the power of 1\/2, to the nearest integer?\nAnswer: 19011","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1932 - -445.31373?\nAnswer: 445.50693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/((-14)\/7)*1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of 1\/420*r**6 - 5\/2*r**2 - 3*r + 1\/210*r**5 + 0*r**4 + 0*r**3 + 0. Let q(x) be the first derivative of a(x). Factor q(n).\nAnswer: 2*n**2*(n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (280\/1260)\/((-9)\/1215)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 3. Suppose b = 2*o - o - 31. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1547183 and 5203?\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**2 + 34 + 27 + 13 + g**2.\nAnswer: 2*g**2 + 74","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 6*j + 3*j)*(3 - 3 + 1)*(20 + 4 + 0)*(4*j - 2 + 2)*(4*j - 4*j + 2*j) + 2*j**3 + 3*j**3 - 3*j**3.\nAnswer: 1154*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 790340 and 125.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.7 - 7.07. What is q rounded to 1 dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/(-650)*4*(-10)\/(-2).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3377, 4504, 7563, 13520, 23341, 37992, 58439, 85648?\n\"Answer: 161*z**3 + 3216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 12*k**2 + 5*k - 50. Let r be (1 - 4)\/(9\/12). Let l(q) = -8*q + 5. Calculate the remainder when l(r) is divided by o(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*k**5 - 2*k**4 - 934*k**3 + k**2 - 3206*k + 1.\nAnswer: 120*k**2 - 48*k - 5604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*t + 527 = -53*t + 5*y, 4*t + 2108 = 5*y. Round t to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*q + 100 - 268 = 0 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of n**5\/20 - 3*n**4\/4 - n**3\/6 + 15*n**2\/2 - 118*n - 2. Calculate v(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -2*g - 5*u - 10, 0 = -g - u + 6. Let h be 33\/15 + (-2)\/10. Suppose -6 - h = -4*r, 4*i - 2*r = 8. Solve x - v = -1, 9 = -g*x + i*v - 0*v for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -66?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 + 3*b + 1. Let q be r(2). Solve 4*j = q*j - 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -129*r - 1675. Let z be l(-13). Solve 0 = s + z*f - 12, -2*s + 0 = f - 9 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -1. Let g = -124 + 127. Suppose 3*c = -2*m - g, 5 = -5*m + 4*m - 5*c. Sort t, -5, m in descending order.\nAnswer: t, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 6*a**2 - 1. Calculate l(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22845 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of 925*w**8\/56 - 85*w**4\/4 + 45*w + 5. Find the third derivative of u(f) wrt f.\nAnswer: 111000*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42730 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 360133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - 3*b - 3. Let i be h(4). Suppose i = 2*k - 1. Let c be (-7 - (-3 - -2))\/k. Let n(t) = 2*t + 3. What is n(c)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rffffrrrrf. What is prob of picking 2 f?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 11:49 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3722*p = 3704*p + 36 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**3 - 2*q**2 + 0*q**2 + 2*q**2 - 2*q**2.\nAnswer: -q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -10, j + 5*l - 3 + 26 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1556*h**2 - 1927*h**2 - 2638*h**2 + 3836*h**2.\nAnswer: -2285*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 8:52 PM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*m + 12*m + 3*f = 4*m + 34, -f = 14*m + 96 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 243 and 45.\nAnswer: 1215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.38, -72, 1\/8 in decreasing order.\nAnswer: 0.38, 1\/8, -4, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 49*u + 5717. Give p(104).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20507 is divided by 566?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggp when three letters picked without replacement from {o: 5, p: 5, g: 2}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2a - 4?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -32.4? (a) 0.5 (b) -19 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2. Let c(h) = -h**2. Let i = -192 + 221. Let j = i - 27. What is j*q(a) - 5*c(a)?\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 9:21 AM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 161535769?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11159104.\nAnswer: 2, 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -5*h**4\/2 - 155*h**3\/2 + 705*h**2\/2 + 155*h\/2 - 350 = 0.\nAnswer: -35, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*g**3 - 14419*g - 4*g**3 - 17 + g**4 - 2*g**2 + 14419*g as o*g + t*g**3 + s*g**4 + h*g**2 + y and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1380407 is divided by 44.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14715515 is divided by 133.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 712.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, h: 4}. Give prob of picking 1 r and 2 h.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1026*o - 2765*o - 3001*o + 473*o - 1068*o to the form g*o + d and give g.\nAnswer: -5335","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5843a2 - -1?\nAnswer: 5843a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -347 - -372. Calculate the smallest common multiple of 20 and g.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express l**2 + 17536*l + 10 - 17540*l + 14 + (2 + 0 - 3)*(l**2 - 3*l**2 + 5*l**2) as c*l + t*l**2 + r and give r.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 2*p - 8. Let b be k(5). Let m = b - 22. Solve -4*j = s - j, -j = -m*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1159 + -7360. Let y = 2211 - s. Suppose -3*l + y = -w, -3*w - 7454 = l + 17742. What is w rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1560 a factor of 5877279720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 45*a**2 - 16*a**3 - 45*a**2 to t*a**3 + f*a**2 + v + o*a and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - -9 - -1) + -4\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 53393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 2*q**5 + 26*q**4 + 96*q**3 + 136*q**2 + 64*q = 0.\nAnswer: -8, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 66c (base 13) to base 14\nAnswer: 58c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 8:12 AM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 2*k + 10 = 0, 3*j + 5*k + 4505 = 4492 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7650 and 1796050.\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 14*x + 3. Let b be a(14). Factor i**3 + 39 - 39 - b*i + 0*i**3 + 2*i**2.\nAnswer: i*(i - 1)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.4355 + -183.1435. Let f = -0.292 + d. Let v = 182.99999834 + f. What is v rounded to 7 decimal places?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -1496*f**2 + 48*f - 98. Let a(m) = -499*m**2 + 17*m - 35. Let j(s) = -14*a(s) + 5*x(s). Let v(u) = u. Determine v(j(t)).\nAnswer: -494*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 5*k + 2 = -3, 2*h = k + 1. Let s(q) be the first derivative of 3*q + 1\/3*q**3 - 1\/2*q**2 - 4. Calculate s(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -156582 and -0.04.\nAnswer: 6263.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -13*y - 51. Let m(s) = -6*s - 26. Calculate 4*i(p) - 9*m(p).\nAnswer: 2*p + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 354*g - 6599 - 3392 = 3461 for g.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*n**2 - n**2 + 9*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6, 3, -7, 4 in decreasing order.\nAnswer: 6, 4, 3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 71, 0.09, -5, -4 in descending order.\nAnswer: 71, 0.09, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*5\/20*14\/77?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) + 2*sqrt(95))*-4)\/(-1*sqrt(720)).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 48 + -43. Solve -x*q + 7 = 32 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of -z**9\/12096 - z**8\/2016 + z**7\/1008 + z**6\/72 - z**5\/60 - 14*z**2. Let a(u) be the third derivative of d(u). Factor a(l).\nAnswer: -5*(l - 1)*(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -31 (b) 0 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*z**5 + 1870218*z**4 - 31*z**3 + 131751242*z**2.\nAnswer: -120*z**2 + 44885232*z - 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95598280?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of u**7\/2520 + u**6\/960 - u**5\/480 - 5*u**4\/12 + 6*u. Let o(b) be the third derivative of w(b). Factor o(q).\nAnswer: (q + 1)*(4*q - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 17*f + 16. What are the prime factors of q(35)?\nAnswer: 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.200328 less than -1?\nAnswer: -1.200328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4257?\nAnswer: 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u - 30. Let g(v) = -2*v + 34. Let x(z) = -3*g(z) - 3*q(z). What is x(-7)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1177 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 - 11. Suppose q - d = -q. Calculate the highest common factor of 40 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, s: 3, x: 3, b: 1, q: 2}. Give prob of picking 1 f, 1 q, and 1 s.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 30250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93, -145, -239, -381, -577, -833, -1155?\nAnswer: -1549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 696, 716, 736, 756, 776, 796?\n\"Answer: 20*y + 676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**2. Let l(y) = 122*y. What is l(x(k))?\nAnswer: -244*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2742 is divided by 29.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of -i**5\/30 + 7*i**2. Let z(x) be the third derivative of -x**5\/6 + 2*x**2. Determine z(j(b)).\nAnswer: -40*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - 25*u - 28. Give b(-24).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 219265 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*(4 + 84\/(-18))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**2 + 8*i**2 - 5*i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/2)\/(1\/2). Let d = s + 23. Is d a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (0 - 0) + -3 + 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**3\/23 + 1160*x**2\/23 - 2314*x\/23 + 1156\/23 = 0.\nAnswer: 1, 578","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-450)\/20 + 1\/2. Let l = -136 + j. Let b = -113 - l. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/33 and -80\/136983.\nAnswer: 136983","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 209707184?\nAnswer: 2, 13106699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 23*k**2 - 20*k + 36. Let j be q(-22). Calculate the remainder when 39 is divided by j + 53\/7 + 150\/7.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k - 1. Let r = -1 + 16. Let q = r + -16. Let g(f) = -3*f**2 + 7*f + 5. Calculate q*g(w) - 6*l(w).\nAnswer: 3*w**2 - w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8\/3 of a hour?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, m: 15}. Give prob of picking 1 a and 1 m.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + q**2 - q - 8. Let g = 32 - 27. Suppose 0*y = g*y. Calculate u(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -5*z**2 + 23 - 3*z - z**3 - 24 + 0*z**3. Calculate v(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 1413 = 3*q + 1472, 4*q = l - 17 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 5259003?\nAnswer: 15777009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1*c)**(-3\/10)\/(c**1\/(c*c\/c**1))*(c*c*c*c*c**(-2\/3)*c*c*c)**(-2\/15)*c**5\/((c*c**(5\/4))\/c) assuming c is positive.\nAnswer: c**(83\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - 0. Sort 6, 3, h.\nAnswer: h, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2690 and 1089393510.\nAnswer: 2690","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.28 + -15.28. Let n = y + 15. Let w = -59.1 - -59. What is the closest to n in -0.4, w, 1\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(7\/9)\/x**(-1) assuming x is positive.\nAnswer: x**(16\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g**2 - 22*g - 11. Let z be k(6). Let c = z + 51. What is the smallest common multiple of 8 and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 858 a factor of 536219946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 156\/2730*45\/27?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -6 + 18. Calculate the greatest common factor of i and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d - 3*d + d)*(-1 + 1 + 2) - 239*d + 1 - 79*d + 70*d + (2 + 1 - 2)*(0 + 0 + 2*d).\nAnswer: -242*d + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.01 (b) -1 (c) 6 (d) 2\/11 (e) 0.594\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 59*y**2 - 64*y - 156. Let g be j(-60). What is the greatest common divisor of 609 and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/2 + ((-4)\/(-72) - (-4305)\/2457).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 7*o + 5. Let l be r(-7). Let i(d) be the third derivative of 0*d + 0*d**4 + d**2 + 2\/15*d**3 - 1\/600*d**6 - 1\/100*d**l + 0. Factor i(x).\nAnswer: -(x - 1)*(x + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -7*s**2 - s. Let n be o(1). Let p be 5\/2 - (-4)\/n. Solve -p*f - 5*u = f + 26, -3*u - 6 = -3*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of 0 + 0*j**3 + 0*j**2 + j + 1\/4*j**4. Let g(s) = -3*s**2. Give g(c(b)).\nAnswer: -27*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-10) - (-17)\/5. Let c be (1*(8 + -6))\/((-4)\/6). Let t = 2 - 1. Put v, t, c in ascending order.\nAnswer: c, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -212 + 113. Let o = 196 + s. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4819 and -4812 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/14 and -87\/206.\nAnswer: 1442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4.7, 4, 0, -2\/5, 12, 10?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/30)\/((-8)\/(-96)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + 125*c + 3373. Give m(-39).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11.16 + 11.1. Suppose 16 = -3*b - b. What is the closest to 1 in b, -2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + y = 126, -2*j + 5*y + 514 = 469. What is the least common multiple of j and 32 + 2*(-9)\/(-6)?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -87.2348611 rounded to 2 dps?\nAnswer: -87.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -296*y - 333*y - 314*y - 287*y + 1463*y - 316*y - 1.\nAnswer: -83*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 plus -130377.205321?\nAnswer: -130372.205321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*v + 8*v - 6*v)*(-4*v**3 + 6*v**3 - 4*v**3).\nAnswer: 14*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -239 = 2*y - 853. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 0, -22.\nAnswer: -22, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-4)*0\/2. Suppose -4*d + 7 + 61 = h. Calculate the greatest common divisor of 187 and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26234952 a multiple of 425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*l - 147*l - 864 = -187*l - 3350 for l.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = p + 224, 0 = 44*v - 40*v + 2*p - 448. What is the remainder when v is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4*(-1 + sqrt(432)) + 3 + sqrt(432)*-1 + -1)**2*5.\nAnswer: -4320*sqrt(3) + 116760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d. Let v(o) be the second derivative of o - 1\/2*o**4 + 0*o**3 + 0*o**2 + 0. Determine i(v(r)).\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of w**4 - 645*w**3 + 291509*w**2 wrt w.\nAnswer: 24*w - 3870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5240 + -5240.3804. Round x to two dps.\nAnswer: -0.38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 1. Let q(w) = -8*w**3 + w**2 - w - 6. Let f(o) = 6*h(o) + q(o). Determine f(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 57.0733 grams?\nAnswer: 0.0000570733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -121a463 - -4?\nAnswer: -121a45a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*q**3 - 48*q**3 + 27*q**3 - 27*q - 4*q**2 + 101*q to x*q**2 + o*q**3 + b*q + r and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 765\/204*(-24544)\/708.\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 138\/(-60) - (-9)\/6. Which is the second biggest value? (a) t (b) 2\/7 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -11*t + t - 2*t**3 - 5 - t**3 - 6. Differentiate g(j) with respect to j.\nAnswer: -18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -224 + 220. Let k = -1\/10 - 17\/30. Which is the nearest to 0.2? (a) x (b) k (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -5*b - u, -27 = 5*b - u - u. Let n(v) be the first derivative of -v**3\/3 - 7*v**2\/2 + 4*v - 2. Give n(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, h: 1, m: 1, d: 2, z: 1}. Give prob of sequence hkdm.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m + 4. Let j(k) = k**3 + 6*k**2 + 2*k + 8. Let h be j(-6). Let f = -8 - h. What are the prime factors of w(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1442 is divided by 164.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20067?\nAnswer: 3, 6689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -2\/3, -21761, 0.1 in decreasing order.\nAnswer: 1\/3, 0.1, -2\/3, -21761","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 5:50 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*t = 12*t - 504. Let u be -4 - ((-448)\/t)\/(-4). Solve 108 + u*x**2 - 24*x = 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1356.35l to millilitres.\nAnswer: 1356350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 q, and 1 j when four letters picked without replacement from {a: 8, r: 2, w: 2, l: 4, j: 2, q: 1}.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/27 - (-2830)\/18 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10715, 10719, 10725, 10733, 10743, 10755, 10769?\nAnswer: 10785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 201380630 or 201380633?\nAnswer: 201380633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/5))**37\/(i**(-7)\/i*i**(2\/7)) assuming i is positive.\nAnswer: i**(-248\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.5013549 rounded to one decimal place?\nAnswer: 16.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 275787676?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4*4\/(-8) + -2. Let b(a) be the first derivative of v*a + 3 + 3\/5*a**5 - 3\/2*a**2 + 0*a**3 + 0*a**4. Find the second derivative of b(o) wrt o.\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i + 5*i = -2*d + 3, 5*d = -2*i - 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8 - 0)\/((-2)\/(-4)) - 4. Suppose -f*u = -15*u. Solve -g = -u*g - 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*-1 + 180\/6. Let h = j + -19. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00137261 rounded to 4 dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 25*p**2 - 56*p + 92. Let d be z(27). Find the third derivative of -173*a**5 + 173*a**5 - 258*a**2 + d*a**6 - 258*a**6 wrt a.\nAnswer: -26400*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45 + 21. Let f be -281 - (-64)\/r*3\/2. Let b be f\/75 + 0 + 4. Sort -1\/2, 5, b in ascending order.\nAnswer: -1\/2, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 6495.\nAnswer: -1\/2165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 13 = -i, -29 = 2*i + 8*a - 3*a for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 333 - 3?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*a - 6*a + a)*(50*a**2 + 64 - 64)*(0 + 0 - 3).\nAnswer: -1800*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 3*h + h)*(3 + 1 - 3) + 5*h - h - 2*h + 3*h + 1 - 1.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 1, -13 in decreasing order.\nAnswer: 1, -3, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90, -94, -100, -108, -118, -130?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/5 + 967*a**2\/5 - 67264*a - 1017636\/5.\nAnswer: (a - 274)*(a + 3)*(a + 1238)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101101110001000010 - 101100010?\nAnswer: -101101110110100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3, -16, -27, -36, -43, -48?\n\"Answer: t**2 - 16*t + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42 - 35. Let v be 16\/56 - (-82)\/f. Suppose -1590*u**2 + 1590*u**2 - v*u**3 + 4*u**4 = 0. Calculate u.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1572943728 and 228?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -40 (b) -2\/11 (c) 0 (d) 1.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (61*s**2 - 1762 + 1762)*(1 + s + 0 + 0) to the form h*s**3 + p*s + c + a*s**2 and give h.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 8:07 AM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 5*q = -20, -q + 4 - 17 = -4*h. Suppose 0 = f - r - 2, f + 10 = -8*r + h*r. Let k = f + -3. Sort k, 2, -4 in ascending order.\nAnswer: -4, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + 12*g + 5. Suppose -3*d = -2*f - 36, -39 = -4*d - 2*f + 9. Determine p(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**5 + 24*b - 49*b + 23*b - 108 + (-2*b**5 + 7*b**2 - 7*b**2 - b**3)*(5 + 0 - 2).\nAnswer: -9*b**5 - 3*b**3 - 2*b - 108","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -6*k - 7. Let i(t) = -t + 1. Let v(x) = -c(x) + 5*i(x). Let f = 21 + -33. Let p(y) = 2*y**3 + 22*y**2 - 23*y + 12. Let h be p(f). Give v(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + h + 8. Suppose -d = d. Let q = -2 - -7. What is the smallest common multiple of v(d) and q?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q. Let d(k) = -4*k**2 + 5164*k - 1. Determine l(d(s)).\nAnswer: 8*s**2 - 10328*s + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13559?\nAnswer: 7, 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -138241 * -3.\nAnswer: 414723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 684 divide 1477533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14595 divided by 4865.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1, 59, 1\/3, -1705106?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of b**4\/12 - 2*b. Let a(q) be the third derivative of q**4\/24 + 4453*q**2. Determine a(v(d)).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0416265 rounded to 4 decimal places?\nAnswer: -0.0416","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/6)\/((-2)\/12) + 0\/(-48). Sort -6597, x, -5 in ascending order.\nAnswer: -6597, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*a**3 + 1 + 33*a**3 - 9*a**3 to p*a + j*a**3 + b*a**2 + r and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j - 1 = 5*r, 5*j + 3*r + 12 = 11 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1642 divide 2969377203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1434351 to the nearest integer?\nAnswer: 1198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 13 = 2*n + q, 2*n + 4 = -2*q. Which is the biggest value? (a) 1\/5 (b) -5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 26\/104 + 1\/(-4). Suppose -z - 28 = -2*z. Suppose f = z*r - 21*r - 889. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -4*g**4 - 594*g**3 + 2245*g**2 - 13*g - 299. Let f(l) = l**4 + 198*l**3 - 748*l**2 + 4*l + 92. Let v(c) = 4*b(c) + 13*f(c). Factor v(k).\nAnswer: -3*k**2*(k - 62)*(k - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 - -55 - (-1 + -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2508*a**3 + 227*a**2 - 3729973*a wrt a?\nAnswer: 15048*a + 454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -33*n**3 - n**2 - 2*n + 2. Let w be y(1). Let r = -29 - w. Let c = -13 + r. Are -3 and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 - 34?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 10737.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 35*v + 42. Let z(o) = -24*o - 30. Determine -5*a(b) - 7*z(b).\nAnswer: -7*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1162, -1080, -982, -862, -714?\n\"Answer: s**3 + 2*s**2 + 69*s - 1234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 2 - 1. Let w be 9\/3 - (-1 - y). Suppose 0 = 3*i + 2*i - w. Solve 3*b - i = -2*n, -3*b + 4*n + 17 = 2*n for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*(30\/(-45) - (-2)\/(-6)). Suppose l*b + 20 = 4*b. Solve 0 = b*p + 28 - 23 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + -5)*26 + -36 + 31. Which is the fourth smallest value? (a) m (b) 5\/2 (c) 0.2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 277 = -2*t, t = d - 5*d + 224. Let m = 112 - d. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6698490 times 4.1\nAnswer: 27463809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -5*z + 23*z - 14*z - 8*z + 178. What is the remainder when p(0) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + 10*s - 19. Let a be z(-12). Suppose 21 = -a*r + 671. Calculate the greatest common divisor of r and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k - k + k - 2947*k**2 + 2949*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007687421189 to seven dps.\nAnswer: -0.0007687","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 - -32. Let j = c + -17. Solve -2*f = -j + 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 1908*m = -1897*m + 1, 3*w + 4*m - 113 = 0 for w.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -4*k - 11, 11 = 2*k - 0*k - 3*x. Is 2\/7 greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ototdnndobdnnbn. What is prob of picking 2 d and 1 t?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -360453, -360232, -360011, -359784, -359545, -359288, -359007, -358696?\nAnswer: -358349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 333?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 49*t**3 - 5*t**2 + 7*t - 2. Let y be k(2). Suppose 0 = 4*w + 4*j - 303 - 225, 0 = 3*w - j - y. List the prime factors of w.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2471 divided by -2298?\nAnswer: 2471\/2298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 83 = -293. Let j be 0 - 4 - (15\/(-3) + 1). Suppose 2*g + j*v = v + 418, -1042 = -5*g + 4*v. What is the highest common factor of o and g?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -60 - -59.5. Which is the fourth smallest value? (a) -2\/23 (b) -6 (c) p (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-60)\/9*(-168)\/10. Let i = b - 112. Let y = 4.1 + 0.9. What is the nearest to -1 in i, 4, y?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 5:54 AM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4157895 is divided by 101412.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, d: 2, m: 2, p: 1, i: 1}. Give prob of sequence pim.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-109)\/(-109)*26\/637*-14?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7458 - 15578 = 290*t for t.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from mfffmffifmfffmffmif.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1440807206?\nAnswer: 2, 18461, 39023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 4257528.734 to the nearest one thousand.\nAnswer: 4258000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-7))**(2\/111)\/(f**28\/f*f\/(f*f*f**(-9\/5))) assuming f is positive.\nAnswer: f**(-5163\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -15*o**2 + 6*o**2 + 9*o**2 + 4*o**2. Let f(v) = 5*v**2. Determine d(f(t)).\nAnswer: 100*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9\/20 + 1\/20. Let c be (-36)\/(-15)*(640\/144)\/(-20). Which is bigger: g or c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -1, -599, -5 in decreasing order.\nAnswer: 5, -1, -4, -5, -599","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and (-4)\/22 + 178*(-6)\/(-66).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-16))\/(3*9\/8)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00010492614 to 5 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(-2\/3))\/l)**(-40)\/((l\/l**(-2\/27))\/l*l**(-1\/7)))**(23\/2) assuming l is positive.\nAnswer: l**(-115621\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-5 - -4 - 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -116.79 - -116.85. What is the fourth smallest value in 5\/6, y, -14\/15, 0, -2\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 147, 1243, 4221, 10023, 19591?\n\"Answer: 157*n**3 - n**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 19*p**2 - 47*p - 72. Let c be f(-4). Calculate the greatest common factor of c and 12390.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 18*b**2 - 14*b + 128. Let c be w(37). Let g = -13070 + c. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ln when two letters picked without replacement from cnshl.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -83.3 - -87. Let u = h + 1.3. Let q = u + 11. Do 2\/3 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 1, -6, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 33 (b) -33 (c) -0.12 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -6*d**2 - 4*d. Let p(q) be the first derivative of 7*q**3\/3 + 5*q**2\/2 + 4. Suppose -2*i + 6*i = 16. Determine i*p(h) + 5*t(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-35)*(5\/(-10) - -8))\/(81\/(-7398)).\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53419365739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*n**5 + 45*n**3*r + 1087*n*r wrt n.\nAnswer: -60*n**3 + 270*n*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - 225316.185478.\nAnswer: -225320.185478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -2*p**6\/105 + 2*p**4\/7 + 16*p**3\/21 + 6*p**2\/7 - 18*p. Factor c(k).\nAnswer: -4*(k - 3)*(k + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/25 - 2) + -1 + 4.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/35 - 13\/21. Let k = -4 - -5. Let f = 5.01 + -0.01. Which is the second biggest value? (a) f (b) k (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 7:11 PM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/27 and -139\/804.\nAnswer: 7236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 4, 51, -11, -0.03, 38.7 in ascending order.\nAnswer: -11, -0.03, 2\/3, 4, 38.7, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 5*l + 1. Let x(j) = 6*j**4 + 5*j**3 - 154*j**2 - 25*j + 1703. Let r(v) = x(v) + 5*z(v). What is the first derivative of r(q) wrt q?\nAnswer: 24*q**3 - 308*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**5 - 16*r**4 - 44*r**3 - 56*r**2 - 34*r - 8.\nAnswer: -2*(r + 1)**4*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8ba5 - 46?\nAnswer: 8b5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t - 3*t + 2*t)*(-2 - 2*t + 2) - 28*t + 78*t**2 - 39*t**2 - 42*t**2.\nAnswer: -13*t**2 - 28*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -214, -2, -0.09, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((-110)\/(-6))\/11?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 732\/854*(-182)\/254. Is 0 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, g: 1, b: 2, i: 8, u: 3}. What is prob of picking 2 u?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -426, -384, -328, -264, -198?\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 4:00 PM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 2*y = 20. Let b = y - 8. What is the lowest common multiple of b and (1 + 7)\/(1 - 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12\/77 + -103\/1155. Let g(n) be the third derivative of 1\/75*n**6 + 0 - 6*n**2 + 0*n + 1\/10*n**4 - 3\/50*n**5 - b*n**3. Factor g(k).\nAnswer: 2*(k - 1)**2*(4*k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**2 - 14*p + 12. Let n be z(-12). Calculate the remainder when (-691)\/(-9) + (-24)\/n is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -1 - -5 - 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -4654 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 e, and 2 a when four letters picked without replacement from ewaawweewawewweewwe?\nAnswer: 63\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-2)\/3*1305\/580.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -9. Suppose -o*p - 2 = 2. Let f = 4.5 + 0.5. Which is the biggest value? (a) p (b) -2\/9 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -133, -126, -131, -154, -201?\nAnswer: -278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/11))**48*(i*i**(2\/5))**(-23) assuming i is positive.\nAnswer: i**(-1291\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.7 (b) 5 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1038\/7 + -148. Let j = 5 - 2. Let g = 0.28 + 0.02. Sort h, j, g in decreasing order.\nAnswer: j, g, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6, 0.3, 0.04, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((2*(-2 + ((sqrt(21)*2)\/sqrt(7) - sqrt(3))) - (2*sqrt(324))\/(sqrt(12) + 2*sqrt(1728) + sqrt(12))) + 4).\nAnswer: -69*sqrt(3)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-960)\/(-2560))\/((-1)\/56*2)?\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/9897 or -67\/5?\nAnswer: -67\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**2 + 5952147*p = 0 for p.\nAnswer: 0, 1984049","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -182*i**3*n + 277*i**3 wrt n.\nAnswer: -182*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25 - 38 - -38) + 10.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 31808 divided by -31808\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 - 26 = -13*n. Let g = 0.34 - -0.06. Which is the fourth smallest value? (a) n (b) -0.2 (c) g (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.13 + -1.13. Let h = -0.798 - 0.16. Let g = s - h. What is g rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5630, 5627, 5622, 5615, 5606?\n\"Answer: -j**2 + 5631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 0.3, 2\/5, -0.5076?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, v: 2, h: 2, k: 4}. What is prob of sequence gh?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 2*y + 268. Suppose 0 = 3*f - 6*f + 132. Let u = -17 + f. What is the remainder when y is divided by u?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 + 38. Does 4 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2*d = 27, -o + 3*d = -0*d + 8. Let y = 10 + o. Suppose 5*v + y = -f, -v = -4*v - 6. What is the highest common factor of f and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*x = 8389 - 11161 for x.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -239484 divided by -79828\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 0*a - 3*a = 3, -6442*u + 2*a - 26 = -6430*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 5, 1, -4, -3, -2\/7, 0.20439?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69134797.\nAnswer: 853, 81049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 764, 1537, 2310?\nAnswer: 3083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, 104, 269, 456, 659, 872?\nAnswer: 1089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -29 - -43 - 76 - -48\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-315)\/(-1890) + 5\/18. Let 2\/9 - u*n**2 + 2\/9*n = 0. Calculate n.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13.7 - -13.3. Sort -1.3, x, -2.\nAnswer: -2, -1.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1750*j**2*k**3 + 21*j**2*k - 112*j**2 + 9394*j*k**3 + j*k**2 - 13*j*k - 2*k**3 - 3*k wrt j?\nAnswer: 3500*k**3 + 42*k - 224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f - 2. Let c be u(4). Let l(t) = 6*t - 5. Let y(h) = -6*h + 6. Let d(b) = 4*l(b) + 3*y(b). Calculate the lowest common multiple of d(c) and 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1292 = -8*c - 348. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.06955 and -10?\nAnswer: 0.6955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ottoo. What is prob of picking 3 o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/90 + (-18 - 92\/(-5)))*18\/84?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1 - -29)\/4*3 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of -j**3\/6 - 2*j**2 + j. Let t(x) = x**3 + x**2 - 5. Let s be t(0). Calculate u(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (15686\/(-44))\/(-31) + -11 + 0. Let k be 0\/(0 - -1) - -3. Suppose 2*m**k - 5\/4*m - 1\/4 - b*m**2 = 0. Calculate m.\nAnswer: -1\/2, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1079*n**5 + 6*n**4 - 2123*n**2 - 2?\nAnswer: -64740*n**2 + 144*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -292\/5557 (b) 29 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 27*u**2 + 25*u - 26. Let f be t(-26). Let d be 5\/2 - (3 - 1). Find c, given that f - d*c**3 - 1\/2*c**2 + c = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-4))\/(1206\/(-300) + 4). Let d = o + 28. Suppose 0 = d*a - 8*a + 165. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 945 divided by -105\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1135, 1136, 1139, 1144?\n\"Answer: n**2 - 2*n + 1136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120596.\nAnswer: 2, 7, 59, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**3 - 24*a**2 - 57*a + 18. Calculate x(14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 7*l**2 + 4289*l + 21248. Give z(-5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -692 + 327. What is the smallest value in 0, b, -4\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of c**5\/20 - 5*c**4\/6 + 8*c**3\/3 + 6*c. Determine n, given that p(n) = 0.\nAnswer: 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15405?\nAnswer: 3, 5, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1177, -1178, -1179?\nAnswer: -1180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 3*p**2 - 2*p - 2. Let x be d(-3). Let c = 86\/77 - 6\/11. What is the closest to 1\/2 in 1\/4, c, x?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257165159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 122 = 5*j - m, 0 = 5*m - 15. Is j a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -v**7\/2100 + 13*v**6\/150 - 169*v**5\/25 + 4394*v**4\/15 + 23*v**3 + 13. Let d(q) be the third derivative of n(q). Factor d(o).\nAnswer: -2*(o - 26)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50 + -29. Calculate the remainder when 38 is divided by t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 0 + 17 + -5 + -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (10\/300)\/(-60 - (-112425)\/1875)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -44 - -76. Let y = 44 - n. What is the highest common factor of 96 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s**2\/3 + 460*s + 1376\/3 = 0.\nAnswer: -344, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2540 = 46*o - 41*o, 3*o + 2*m = 1524. Do o and 512 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -521\/6 - -177\/2. Which is smaller: j or 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112 + -2774319535589.\nAnswer: -2774319535477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*j + 56*j - 22*j)*(1 + 1 + 0).\nAnswer: 102*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -397*p**2*z**4 - 416*p**2*z - 2*p*z**5 - 50*z**2 wrt z?\nAnswer: -9528*p**2*z - 120*p*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 51 - 55. Let a be 3\/9 - 41\/(-3). Let l be -2 + 2*a\/12. Which is bigger: f or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3*w**2 - 76*w - 19. Let x be b(-25). Let c(d) = -d**3 + 6*d**2 + 4*d + 1. Let r be c(x). Calculate the greatest common factor of 300 and r.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*l - l**3 - 23*l + 5*l**3 + 7*l.\nAnswer: 4*l**3 - 34*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228*d - 227*d = 92. Suppose 0 = -h + 24*h - d. Calculate the smallest common multiple of h and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 37022 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -128*g**6\/75 + 1488*g**5\/25 - 2691*g**4\/5 - 4464*g**3\/5 - 2592*g**2\/5 + 436*g. Factor f(k).\nAnswer: -4*(k - 12)**2*(8*k + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*sqrt(16))\/(sqrt(1152)*-2).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1069*r = 1080*r - 44. Solve 5*g + 29 = x - 2*x, 4*x = r*g + 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1375645 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/7))**(8\/3))**(-1\/2) assuming u is positive.\nAnswer: u**(-8\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -2 - 2. Suppose -3*s = -3*v - 0*s - 12, -4*v = -s + 19. Suppose 164*l - 4*l = 0. Which is the third smallest value? (a) v (b) w (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 3332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 e when two letters picked without replacement from eiiccoggccqcq.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/59 (b) -2\/9 (c) 1 (d) 1\/3 (e) 4\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vqvqvdvvvdqvvvvvv. Give prob of sequence vvq.\nAnswer: 33\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -511239640*w**3 + 742322*w**2 - 21 wrt w?\nAnswer: -3067437840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 49\/2, -0.032 in decreasing order.\nAnswer: 49\/2, 8, -0.032","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/10, 5, 0.5, -45, -2 in decreasing order.\nAnswer: 5, 0.5, 1\/10, -2, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 529?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4777, 3, -1, 41 in decreasing order.\nAnswer: 41, 5, 3, -1, -4777","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 174*k**2 + 51*k - 52. What is h(1)?\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1448.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 309.15864 + 2.\nAnswer: 311.15864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, h: 17}. What is prob of picking 1 h and 1 i?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -7*s + 68. Let z be a(9). Suppose 3*c + 0*c - 60 = 0. Suppose -2*y + c = z*k, -k + 3*y - 4*y = -4. Solve 0 = -4*w + 5*w + k for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3414 - 1342?\nAnswer: -10311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/7 + 6516333*y**2\/7 + 10615600069056*y\/7 - 159235467214140\/7.\nAnswer: (y - 15)*(y + 3258174)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-5)\/(-2))\/(102\/(-204)). Let c(l) = 10*l - 9. What is c(a)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*c - 4*d + 69 + 48 - 26 = -33, 3*d - 3 = 0 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*n + 69*n - 35757 = -34*n. What is the remainder when 814 is divided by n?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -348 divided by -116.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2253809040.9 and -200.\nAnswer: -2253809240.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 11*w - 8. What are the prime factors of v(4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8*(0 + (-2)\/(-4)). Suppose -y + 29 = -0*y. Suppose -5*r = b - y. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 9 = -x. Let q = 56 - 32. Calculate the highest common factor of x and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 3*p = 44, -28 = -70*z + 68*z - 4*p. Solve z*v = 14 - 14 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x**3 - 3*x**2. Let y(q) = 2*q**2 + 8*q + 7. Let r be y(-3). Let f = r - -45. Calculate the remainder when f is divided by i(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - f - 5530 = -5503, -2*b + 3*f - 4 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 - 124823*r - 58 - 49 + 124832*r in the form k*r + n and give n.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32 + -36)*(-2)\/(-36).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/6 + (-14)\/(-3). Let j be (12\/10)\/(6\/140). Suppose -t*v = -4*v - j. Does 14 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fnxdx. What is prob of picking 1 f and 1 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4788 and 56?\nAnswer: 9576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2060644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3 + 0*y**2 + 2 + 2*y**2 + 5*y. Suppose 18*d + 733 = -126*d + 157. Determine m(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 6) in base 9?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r + 3. Let p be t(3). Suppose 225 = -41*c + 111 + 196. Solve -15 = -4*z - 5*b, -z - b = -c*b - p for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/9 of a day in minutes?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -20 + (15 - 35 - -19) + (7 - 0)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-64)\/260 - 6*(-22)\/(-858).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of 11*g**5\/20 - g**3\/2 - 4*g. Find the second derivative of z(k) wrt k.\nAnswer: 66*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -x. Suppose x = 3*y + m - 28, 2*y - 5*m = -3*y + 60. Let z be y\/(-36) - (-2)\/4. Is z at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a week in minutes?\nAnswer: 9072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103212 - -2011230?\nAnswer: 2121102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*c = -10*c - 2754. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-9 - -2 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 4*m**3 + 6*m**2 + 3*m - 3. Let o(z) = -23*z**3 - 35*z**2 - 17*z + 17. Let i(n) = -34*c(n) - 6*o(n). Factor i(a).\nAnswer: 2*a**2*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 17*q**2 - 3*q - 1. What is the tens digit of h(18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.84 + 1.16. What is the smallest value in -0.13, q, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1825455943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1088535.\nAnswer: 3, 5, 7, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5406, -16991, -36292, -63309, -98042, -140491?\nAnswer: -190656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.509 times -4095?\nAnswer: -2084.355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 - 25. Let m(s) = -s**2 + 13*s - 8. What is the units digit of m(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1471678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 4*i - 37, -4*y - 5*i = -9*y + 60. Let k = 47 - 35. Suppose 5*d - 3*d - k = 0. What is the smallest common multiple of d and y?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10971050.6 to the nearest one thousand.\nAnswer: -10971000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g + 32. What is the remainder when 43 is divided by f(-17)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/14 + 32\/(-28) - -2. Let o(r) = -4*r**2 + 2*r - 3. Let y(i) be the second derivative of -i**4\/12 - i**2\/2 - i. Determine d*o(h) - 3*y(h).\nAnswer: -h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.16311 + 0.16367244. What is m rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 4*b**2 + 10.\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -4*a - 5*b + 4, 3*a - 14 = -b. Let o(p) = -2 - a + 6*p - 3*p. List the prime factors of o(6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (120\/(-600))\/(((-44)\/10)\/(-1)).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49 - -51. Let g = -5 + 12. Calculate the smallest common multiple of k and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/((z**(6\/13)\/z)\/z*z))**(-12\/13))**(-3\/7))**16 assuming z is positive.\nAnswer: z**(11520\/1183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (64 - 8)\/(10\/65). Suppose -6 = 2*d, -4*d = 5*q - 7*q + y. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 329811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 1435.8, 0.2?\nAnswer: 1435.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 180 = 3*n + 4, 0 = -2*a - 2*n + 174. Suppose 7 = 4*p - a. What is the greatest common divisor of 84 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 64*n**2*s**6 + 209*n**2*s**4 - 5*n**2*s**2 - 42279*n**2*s wrt s?\nAnswer: 7680*n**2*s**3 + 5016*n**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 240457 + 21?\nAnswer: 240500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -5. Let o be 0\/(v - -3 - (-12)\/2). Sort o, -4, -2, 3 in decreasing order.\nAnswer: 3, o, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/((-81)\/(-3)))\/((-1)\/(-2))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3100 and 528860.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/11 bigger than 390\/101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 divided by -12102.\nAnswer: 13\/4034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*z = 0. Suppose -3*v + 25 + 5 = z. Suppose -2*n - v = -3*n. Calculate the smallest common multiple of 1 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 20*p**2 + 21*p + 11. Is z(19) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 200592 + 1175.265474\nAnswer: 201767.265474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1694251674 to four dps.\nAnswer: -0.1694","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 7*p**2 - 300*p - 15. Let b be a(43). Solve 0 = -5*g - 3 + b for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 7*a + a)*(0 - 2 - 1)*(-10 + a + 10)*(-a - 8 + 7 - 3*a).\nAnswer: -72*a**3 - 18*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 359690 to the power of 1\/2, to the nearest integer?\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -161 + 339. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-280)\/75)\/(-7)*((-26950)\/140)\/(-77)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*t - 1900 = 64*t. What is the greatest common divisor of 532 and t?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 227984 + -78597. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -2.7?\nAnswer: -0.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -173 + 5596?\nAnswer: 5423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 4\/91937?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -76, 16722, -5 in increasing order.\nAnswer: -76, -5, -2, 0, 16722","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 2, -1, 33 in descending order.\nAnswer: 33, 4, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0.1 (b) 6 (c) -2.3787 (d) 1\/5 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 - -29. Suppose -3*t - g*d + 84 = t, -60 = -3*t - 3*d. Calculate the highest common divisor of t and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -209? (a) 0 (b) -2 (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3195, 6484, 9773?\n\"Answer: 3289*j - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -534387000 to the nearest 1000000.\nAnswer: -534000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 276\/17, 1.2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 77140026 a multiple of 2619?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -9.82, -10, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3544 + -39966?\nAnswer: -36422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q**2 - 9*q - 4. Let t(i) = -2*i**2 + 5*i + 2. Let x(y) = -y**2 + y + 8. Let v be x(4). Give v*z(w) - 7*t(w).\nAnswer: 2*w**2 + w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1889052 divided by 42933?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 50\/(-46) - 202\/(-2323). Suppose 3*h + h + 852 = 3*l, l - 5*h - 284 = x. List the prime factors of l.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 535 + 536 - 6*n - 1071.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3057323?\nAnswer: 3057323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q*q\/(q\/((((q*q\/q**2)\/q)\/q)\/q))*q)**(3\/19)\/((q\/q**(-2))\/q**(-3\/4)) assuming q is positive.\nAnswer: q**(-273\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 v when two letters picked without replacement from vvo.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -35 + 141641604?\nAnswer: 141641536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 379?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 8.25?\nAnswer: 0.825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 242242 to the nearest integer?\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of w**5\/210 - w**4\/28 + 5*w**2 - 6*w. Let i(p) be the first derivative of g(p). Let i(a) = 0. Calculate a.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 14843, 14840, 14837, 14834?\n\"Answer: -3*m + 14846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 10 = 0, 181*w - 1864 = -h + 186*w. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75239 to the power of 1\/2, to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 105457 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/4)\/((-8)\/(-16))*-1. Let o be 5\/20*(y - -1). Suppose o = j - 28 - 77. Is j a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12967437?\nAnswer: 3, 7, 29, 107, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -2*v + 520. Let b = v + -104. What are the prime factors of b?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xqnxqxnngx. Give prob of sequence xnq.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356 is divided by 283.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 73984596?\nAnswer: -22195378.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 6:07 PM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*39\/(-208))\/((-57)\/(-8))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -43 at most -32840\/771?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 45281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 121 = 133. Solve -3*m + 2*w = 1, 2*m - q*w = 4*m + 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -19*z + 56. Let t(o) = -11*o + 31. Let x(l) = -4*k(l) + 7*t(l). Let m(g) = -g**2. Let y be m(-3). Let q be (-2)\/(-9) + (-43)\/y. Determine x(q).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 39*y**3 - 2*y**2 - 6*y - 3. Calculate o(-1).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 0*h - 4. Suppose -4*w = -0*w + 3*y - 10, -h*w - 8 = -5*y. Let d(i) be the third derivative of i**6\/30 + i**4\/12 - i**3\/6 + i**2. What is d(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*p**5 - p**2 + 6*p**2 + 6*p**5 wrt p?\nAnswer: -120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10.452 + -0.048. Let i = -10.8 - n. Which is the closest to 6? (a) i (b) 0.2 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 247 + 2075. What is the highest common factor of l and 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 + -32. Which is the nearest to i? (a) -2\/3 (b) -2 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -797, 3, 5 in decreasing order.\nAnswer: 5, 3, -797","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 34*i - 168. Let q be y(-39). Calculate the highest common factor of 18 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -30*b + 99. Calculate the remainder when 28 is divided by i(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - z**2 - z. Let y(j) = -26*j**3 - 3*j**2 - 3*j - 29. Let w(g) = 3*u(g) - y(g). What is the first derivative of w(n) wrt n?\nAnswer: 69*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/3 - 0 - 171\/(-27). Suppose 102*v = 101*v. Solve -18 = -k + 2*t - g*t, -5*t + 20 = v for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 3406, -2\/9, 15\/13?\nAnswer: 15\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or -1283636?\nAnswer: -1283636","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -231 + 130. Let w = j - -128. What is the highest common factor of w and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2. Let x(h) = -14 + 19 + 3*h - 5 - 6. Let i(d) = 3*k(d) + x(d). Let q(t) = -t**2. Calculate q(i(w)).\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u + 1 - 1)*(0*u**4 - 7*u**4 + 5*u**4) + (-2*u**2 + u**2 - u**2)*(-u**3 + u**3 - 4*u**3).\nAnswer: 2*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one tenth of a millennium?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.6 - -1.4. Put 2, t, -2\/5 in decreasing order.\nAnswer: t, 2, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**3\/8 - 615789*w**2\/8 + 31599982269*w\/8 - 31599366483\/8 = 0. What is w?\nAnswer: 1, 102631","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 17. Let x = w + 9. Let v(z) = -z**3 - 4*z**2 - 6*z - 6. What is the tens digit of v(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*i + 0*i + 570 = 0. Let z = -24 - i. Solve -2*r = -z*r + 16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**(2\/9)*g\/((g*g\/(g*g**3))\/g)*g*(g*g**(-15))\/(g\/((g\/(g\/(g*g**8)))\/g)) assuming g is positive.\nAnswer: g**(-11\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -5 - -5) + -1 - 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 205 + -95. Calculate the least common multiple of i and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -17. Suppose 6*t - 2*p = 3*t + 16, -4*p - x = -3*t. Suppose 0 = 2*y - 28 + t. Solve 2 + y = -4*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 13 + -8 - (-1 + 5) - 3. Suppose 134*f = 15*f - 1904. Suppose -w + 4 + 20 = 4*i, 0 = i + 5*w - 25. Sort u, f, i, 4 in decreasing order.\nAnswer: i, 4, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/135*-10)\/((40\/348)\/5).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -14 + 2. What is the units digit of z - (0 + 4)*-3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -f**3\/2 + f**2\/2 + 4*f + 1. Let r(l) be the first derivative of z(l). What is the first derivative of r(p) wrt p?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1436 + -2381. Let c = -19 + 13. Let y be -2*(p\/c)\/(-3). What is the greatest common divisor of 15 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 39343 + 28957 = 0. Round i to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + u = -3*u + 60, -2*u + 2 = -t. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 5:06 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**3 + 34*y**2 + 31*y - 30. Give f(-17).\nAnswer: -557","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 6) in base 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 801485 a multiple of 314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from crcqzfcscsrs. What is prob of picking 1 r and 1 z?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 0, -10 in decreasing order.\nAnswer: 13, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -4 (b) 3\/5 (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468)*5*4 + -4 + -2 - (sqrt(468)*3 + 0 + (3*sqrt(468) - sqrt(468)) + -1))**2.\nAnswer: -900*sqrt(13) + 105325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -32?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a kilogram in grams?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - ((6 - 12) + 0)) + -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -103218, -1, -1\/7, 5, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111010001001100010101 - 10100?\nAnswer: -1111010001001100101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 15 = -4*q. Suppose -3*j + 2 = -16. Let y be (-5)\/(15\/6) + j. Solve f = y*f + q for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48540733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -17522.671 rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16785?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*j**3 - 1 - j**2)*(-5 + 5 + 2*j**2) - j**5 - 5*j**5 + 2*j**5.\nAnswer: -8*j**5 - 2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (9 - (-4 + 10 - 4)) + -21?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 + 2*a - 8. Let b be (5 + -4)*-1 - -4. Suppose 0 = b*s + 9, -4*s + 12 = -4*g - 0*s. Determine j(g).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38618 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-42)\/(-14))\/((-2)\/(-6)). Solve -2*j + 9 + u = 3*r, 5*j = 2*r + 7 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -8*q**2 - q - 1. Let b(u) = 591*u**2 - 49*u - 32. Let f(r) = b(r) - 8*g(r). Find the second derivative of f(l) wrt l.\nAnswer: 1310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1320 + -1?\nAnswer: 1314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4132 - 4121. Let h = -1513 - -3025. Suppose 4*j - l*j + h = 0. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -4*g - 2*g**3 + 18 - 10 + 2*g**3 - 9*g**2 - g**3. Determine q(-8).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*j + 70*j - 204. Solve -j = -15*l - 4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 58*l**2 - 179*l - 13427. Let c be b(-57). Let t(g) = g**2 + 2*g + 3. Let j be t(-3). Solve 5 = -j*o - c for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of m**2 - 1\/12*m**4 + 0*m + 1\/3*m**3 - 2. Let c(s) be the second derivative of g(s). Differentiate c(q) with respect to q.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 14 - 369 = 0. Let z = t - 45. Is 18 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 7:08 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of z**5\/60 - 5*z**4\/8 + 101*z**3\/6 - 6*z**2 - 10*z. Is 30 a factor of n(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -3*l**2 + 2*l + 6. Let j be w(3). Let g = -13 - j. Suppose -g*s + s = -91. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8506 - 8505. Let f(z) = -39*z + 33. Determine f(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -106, -111, -120, -133, -150, -171?\nAnswer: -196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -5*i - 3*c + 57, 3*i - 4*c - 49 = 0. Let m be -120*(-2 - (-4 - -3)). What is the greatest common factor of i and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 5*v + 4. Let w be t(4). Which is smaller: w or -1\/16?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 41 - 26 = j, -2*j - 4*z + 18 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1216 divided by 304\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(18) - sqrt(2)) + 1)*6 - (sqrt(2)*-2 + 4 + -1)) + 0)**2.\nAnswer: 84*sqrt(2) + 401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**3 + 28*l**2 - 36*l - 153. Let o be f(11). Solve 95*q - 36*q - o = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a694 - 3?\nAnswer: a691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1280 by -2.\nAnswer: -640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*s**2 - 15556*s - 50*s**2 + 15556*s.\nAnswer: -91*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -5*q - 24. Let y(n) = -6*n - 25. What is -4*k(o) + 3*y(o)?\nAnswer: 2*o + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 6 = -24. Suppose w*q = 56 + 44. Solve 6*s - 2*s + q = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of 31*r**4\/4 - 157*r**2\/2 + 30*r - 122. Let s(k) be the first derivative of x(k). Find the first derivative of s(t) wrt t.\nAnswer: 186*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5968 or 2?\nAnswer: -5968","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -1\/3*g**3 + 0 + g - 17\/2*g**2. What is the derivative of i(u) wrt u?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 23*n + 1. Let b be c(23). Suppose 11 = 2*k + b. Sort k, 13, -5 in ascending order.\nAnswer: -5, k, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 + (-1716)\/(-8) + (-2)\/4 is divided by 37?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-48)\/(-18))\/8)\/((-1)\/2)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 3 = 3*f - 4*d - 7, -50 = 35*f + 5*d for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 555 is divided by 93?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 634.4 - 634. What is the closest to 1\/2 in k, 0, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 38244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p, 1 o, and 1 i when four letters picked without replacement from {o: 2, i: 2, e: 10, p: 6}?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from egggegeigggggig?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2011 (base 6) to base 4\nAnswer: 12313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 473891279 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 19 - -24 - 48 - (2 + -25 - 2)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a + 8. Let u be h(-8). Let j be u\/(-3)*(-45)\/2. Suppose -2*k = -5*w - 41, -4*k - 2*w = 2 - j. Is 12 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 672, 1342, 2010, 2676, 3340?\nAnswer: 4002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.344258 rounded to two decimal places?\nAnswer: -7.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.513, -4, 1028.1.\nAnswer: -4, 0.513, 5, 1028.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 25 = -2*a, 26*k = -6*k + 5*k + 135 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-721)\/618)\/((-2709)\/(-36)).\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 8*m**2 + 7*m + 13. Let g be y(9). Let i(q) = q**2 + 3*q. Let n be i(g). What is the common denominator of (-389)\/n + (-6)\/10 and -23\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139495?\nAnswer: 5, 23, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 632511 and 70279?\nAnswer: 632511","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -155436233?\nAnswer: 155436232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 234*y + 7. Let f(z) = 57*z + 2. Let k(t) = -25*f(t) + 6*s(t). Suppose 4*p = n - 3, -4*n - 12 = p - 5*p. Is k(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 17 = 4*l, -5*b - 400 = 5*l - 390 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 377 a factor of 380348797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -31762, -32171, -32580, -32989, -33398, -33807?\n\"Answer: -409*r - 31353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 91803 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 h when three letters picked without replacement from {r: 2, h: 4, e: 1, b: 3, q: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -74\/35 - -12\/5. Suppose -4*k - 4*y + 4 = 0, 2*k = k + 2*y + 1. Suppose -4*a + k = -39. Which is greater: z or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-116)\/(-87))\/(4\/6). Let w(a) = -a**4 - a**2. Let r(t) = 0*t**4 - 2*t**4 + t**4. Let o(g) = z*r(g) - w(g). Factor o(p).\nAnswer: -p**2*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 22 = -2*h - h, 5*h = -k - 34. Let z be -6*3\/(-4)*(-4)\/h. Let y(u) be the first derivative of -5*u**2\/2 + u - 1. Give y(z).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1405\/13 - 20\/260 and 24.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -959 + 953.91. Let n = d - -0.09. Which is the third biggest value? (a) n (b) -0.01 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -362274600 to the nearest one million.\nAnswer: -362000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-50)\/4*(-4)\/5. Suppose -p = -3*s - 2*s. Calculate the greatest common factor of s and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 2. Let g = -0.7 - 3.3. Which is the closest to f? (a) 3 (b) -1\/3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4290056 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -77, -5, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 35*h + 60. Determine d(28).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.09110138 to five dps.\nAnswer: 0.0911","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) + (sqrt(95) - (sqrt(95) - -3*sqrt(95))))*-6 + sqrt(95) - 6*(sqrt(95)*-3 - sqrt(95)))\/(sqrt(30)\/sqrt(384) - (sqrt(320) + 3*sqrt(320))).\nAnswer: -296*sqrt(19)\/255","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 3*c - 651. Suppose 587 - c = 5*b. Let g = -19 + b. What is the greatest common factor of g and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 146 + -103. Let x = -28 + r. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 10 - 26 = 0. Calculate the least common multiple of t and 3556\/(-10500)*-15 + 2\/(-25).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 125530279.999911 - 125530138. Let o = -142.039 + 0.039. Let f = u + o. Round f to five dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2827753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of -d**7\/945 - 13*d**6\/90 + 53*d**5\/90 - 20*d**4\/27 + d**2 + 50. Factor u(b).\nAnswer: -2*b*(b - 1)**2*(b + 80)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -100737268*h**4 - 37*h**2 + 1777108*h wrt h.\nAnswer: -2417694432*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l - 1. Suppose 0 = 3*j - 3, -5*o + j + 0*j = -9. Determine i(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2129*k - 3237*k + 21052 = 0 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-25)\/5*4\/50. Which is the third biggest value? (a) n (b) 5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -82\/10611103 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 11 - (6 + -2 - (119 + -111))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 535846 and 2825?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + 0 + (-44)\/(-4). Suppose -3*d - v = 3*l, -3*l = 2*d + 5 + 6. Suppose 6*k + 22 = 2*r + d*k, -8 = -3*r + k. Solve -b + r = -3 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/6 - 130\/((-643500)\/6105)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 0*i + i)*(-i + 3*i + 0*i) + (i**2 + 2*i - 2*i)*(1114 - 601 - 578).\nAnswer: -61*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 31211 (base 7) to base 16\nAnswer: 1de4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kpe when three letters picked without replacement from tttpeppzepkepp?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1286\/646215)\/(4\/(-12)).\nAnswer: -2\/335","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -10 + (1 - -5) + -8\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -1202*a + 19229. Let j be p(16). Let m be (8\/70)\/((-2)\/(-5)). What is the biggest value in m, -0.4, 15, j?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 0 (c) -1 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w - 9*w + 4*w + 5*w - 25 - w.\nAnswer: -2*w - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.3 and 5883.\nAnswer: 5881.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 364\/(-28) + 3 - (-9 - 2) - 10\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.91 - -3?\nAnswer: 6.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 9*o - 4. Let g be x(4). Suppose -5*q + q + g = 0. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*a**3\/2 - 51*a**2\/2 - 27*a\/2 + 15\/2.\nAnswer: -3*(a + 1)*(a + 5)*(3*a - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/31)\/j)**5 assuming j is positive.\nAnswer: j**(-150\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-33)\/55 + (-313232)\/(-20) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-3)*d)**28*((d**(2\/13)*d)\/d)**15 assuming d is positive.\nAnswer: d**(1850\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 5*l + 43, 3538*n + 11 = 3533*n - l - 12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: Which is smaller: -2 or -44\/71?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -2.69.\nAnswer: -0.538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(175)*-2)**2 - (sqrt(1008) + 1 - (-1*sqrt(567))**2).\nAnswer: -12*sqrt(7) + 1263","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-1) - -2)*0. Suppose y = -o + 1 + 1. Solve o*j + 2*p = -4, 0 = j - 6*j - 2*p + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 6*l + 6 = 0, 4*d = 2*d - 5*l - 3. Solve -13*m - d = -7*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 12 - 9)*(-u + 3*u + 0*u + (6 - 2 - 2)*(-4*u + 0*u + 2*u) + 2*u - 2*u - u).\nAnswer: 54*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 minus -0.14355?\nAnswer: -55.85645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7450 is divided by 81.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -4.9. Let s = a + -0.3. Let b = 1 - s. Put 3\/4, 4, b in descending order.\nAnswer: 4, 3\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 963*n = 964*n - 15. What is the least common multiple of 504 and n?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3*j + 0)*(-1 - 1 + 1)*(363 - 170 + 137) to s*j + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 0*k = 2*k + 65, 3*m + 4*k = -53. Does 3 divide (5 - -1) + (-8 - m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24932 - 543.\nAnswer: -25475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) -2 (b) -2\/13 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -597*b + 1574 + 4415 = -22070 for b.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6373 = 8*n - 9*n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*(-258 - 393 + 189)*(5*p - 2*p - p)*(5*p - 2 + 4*p - 4*p).\nAnswer: -4620*p**2 + 1848*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3302 - 13012303011?\nAnswer: -13012233103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 2\/41879?\nAnswer: 2\/41879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i**5\/i)\/i))\/(i*i**(2\/5)*i)*(i\/(i*i**5*i*i))\/(i*i**0\/i)*i**6*i**1\/i*(i\/(i*(i**3\/i)\/i))\/(i\/(i\/(i**(-3)*i))*i) assuming i is positive.\nAnswer: i**(-27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.023886 to 3 dps.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/2983706 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 2. Let h be y(4). Suppose 2*c + 2 - h = 0. Solve 2*t = c + 4 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of f**2 - 5*f + 2150. Let y(o) be the second derivative of -o**3\/6 + o**2 - 2*o. Calculate 2*w(z) + 5*y(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 5*m**2 + 27*m - 186. Determine s(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15784 is divided by 1753.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -69700, -2\/7, 2\/11 in decreasing order.\nAnswer: 2\/11, 0.1, -2\/7, -69700","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in -5\/2, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.15, -5, 3\/8, -4?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (0 + (sqrt(1300) + 0)*-3 + -5*sqrt(78)\/(sqrt(12)\/sqrt(2) - sqrt(6) - sqrt(6))*6)*-2)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27771124?\nAnswer: 2, 6942781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 37*y + 202*y - 33*y + 6386 for y.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 11:10 PM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 22*b**2 - 396*b - 791. Calculate u(-2).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152 + 7307261*j - 75 - 77.\nAnswer: 7307261*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2425.02554 + 2425. Let m = -0.815 - -0.84. Let r = m + p. What is r rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*l + 0*l - l)*(-49*l + 71*l + 321*l + 359*l) as k + y*l + i*l**2 and give i.\nAnswer: 1404","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of 0*o**5 + 0*o - 1\/84*o**8 + 0 + 0*o**6 + 4*o**2 + 0*o**7 + 0*o**3 + 5\/24*o**4. What is the second derivative of g(w) wrt w?\nAnswer: -80*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -345, -357, -385, -435, -513, -625, -777?\nAnswer: -975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) -2\/21 (c) 5 (d) -1416\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1429*z - 138*z - 17*z.\nAnswer: -1584*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 82339 divided by -10\nAnswer: -82339\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -4, -14\/23 in decreasing order.\nAnswer: -1\/2, -14\/23, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -4*m + 1029 + 3*m - 1029. Let a be l(0). Suppose -6*b = -n - 11*b + 32, a = 3*n + b - 54. Solve 0 = -4*i + 5*j + n, -4*i - j + 14 = i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3*x + 16. Let c be z(5). Sort 15, c, 5, 2 in descending order.\nAnswer: 15, 5, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(425) - sqrt(187)\/(sqrt(110)\/sqrt(10)))**2.\nAnswer: -40*sqrt(17) + 297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 558364*r - 657299 wrt r.\nAnswer: 558364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -42 - -22. Let d be (-3 + y\/(-5))\/1. Solve g - d + 6 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-7 - (-18 + 7)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/5 or 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4017945, -4017946, -4017947, -4017948?\n\"Answer: -r - 4017944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 742333774.\nAnswer: 2, 7, 13, 4078757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9 - (5 + -10)) + 43*4. Suppose 4*d = 3*z + 5*d - 543, -4*d = -z + i. Does 15 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2113201331 - -1?\nAnswer: 2113201332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -2. Suppose 0 = 2*w - w + u. Suppose -8 = 5*l - l. Sort w, -4, l in increasing order.\nAnswer: -4, l, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -337*a**2*r - a**2 - 161*a*r - 2*r wrt a.\nAnswer: -674*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20b5 (base 13) to base 4.\nAnswer: -1012332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/18*-1*24)\/(84\/(-693)*-143)\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 29) + (62 - 47)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccccc. Give prob of sequence cc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.518 rounded to one dp?\nAnswer: 54.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 10:07 PM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -762, -1718, -2700, -3720, -4790, -5922, -7128, -8420?\n\"Answer: -2*v**3 - v**2 - 939*v + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/10 of a microgram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000559501 to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 78054211 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r + 1. Calculate u(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -357, -392, -445, -516, -605, -712, -837?\nAnswer: -980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -z**4\/4 - 2*z + 1. Let v be x(0). Let w(m) be the first derivative of -3*m**2\/2 + 4. Calculate w(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - p + 4. Let d be v(0). Let r be (5\/(-9))\/(d\/30). Let m = 13\/3 + r. What is the third biggest value in m, -0.2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17271*f**3 + 26278*f.\nAnswer: 103626*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 98716037 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5280637.\nAnswer: 89, 59333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -c**4\/6 - 7*c**3\/6 + 79*c**2. Let z(y) = 2*y + 3. Determine 4*f(n) + 9*z(n).\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-11)\/(-462)*77?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -7*n - 235. What is c(-41)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2*o**2 + 4 - 6)*(2 - 2*o - 2 + (1 - 1 - 2)*(-1 + 2*o + 1) - 2*o + 0*o + 4*o) as m + u*o**2 + p*o**3 + z*o and give z.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 48993780 divided by -1633126\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2c46 + -b4?\nAnswer: -2cfa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/5)\/(a*a**(-1)))\/(a**(-1\/3)*a**(-3\/2)\/a))**24 assuming a is positive.\nAnswer: a**(388\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -30114543440 - -3?\nAnswer: -30114543433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g - 3. Let p be -5 + (5 + 1 - 3). Let q be x(p). Let v be 0 - ((-22)\/6 + q). What is the second biggest value in v, 5\/3, 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -5*p + 44. Let f(x) = -374 + 361 + 35 - 2*x. Calculate 9*f(w) - 4*j(w).\nAnswer: 2*w + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/37749 and 31\/12.\nAnswer: 150996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -7*a**3 - 3*a**2 - 3*a - 1. What is the units digit of h(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/554 and 89\/1662.\nAnswer: 1662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u + 25. Let s be i(-3). Let z(l) = -l**3 - l**2 - 4*l. Let g be z(-4). What is the highest common divisor of g and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 35 = -20. Let d = -34 - q. Let o = 58 + d. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rjjjrjjrrjrjjrrj?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at least -758700414?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-8)*4*3\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (3 + 4)) + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-6))\/(-7 - 581\/(-84)). Solve 0 = -f + 2*b - 2, -v = 27*f - 24*f - 5*b for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8318 - 8215. Solve -g*i - 1 = -104*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105 and 15960.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + -7 + 4 - -3. Suppose -2*j = j + 3*d - 144, -m*d + 12 = 0. What is the remainder when j is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 174556 and 906.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -179736.42 and 1368806.\nAnswer: 1189069.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 times 6.8?\nAnswer: -0.544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 578005, 2312021, 5202047, 9248083, 14450129, 20808185?\nAnswer: 28322251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33.6 * 5.\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 777, 5, 6, -5\/3 in increasing order.\nAnswer: -5, -5\/3, 1, 5, 6, 777","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {k: 2, d: 3, z: 1, g: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38570879?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 a factor of 17220960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6702458 + -5?\nAnswer: -6702462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -380 * -0.3.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 466156 or 466140?\nAnswer: 466140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 232435309.\nAnswer: 23, 10105883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0301844402 to five dps.\nAnswer: -0.03018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -0*z - 4*z. Is 0 greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + i. Let k(w) = -w**3 - w + 1. Let d be k(i). Is 12 a factor of d*(-39)\/(-6)*4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 99 and 1726857.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 327690908964.9999996844 - 327690909870. Let k = t + 905. Round k to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76696729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 1\/4*(28 + -23)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 290 = 4*g + 25*g. Let i(z) = g + 2*z**2 - 23*z**2 - 10. Let a(d) = 5*d. Calculate i(a(k)).\nAnswer: -525*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -4*y**2 - 2*y - 3. Calculate k(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3*k**3 + 47*k**2 + 22*k - 26. Let t be g(5). Solve -21*n + t = 947 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 2*o**2 - 37 - 9*o**2.\nAnswer: -11*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 16) in base 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6458283?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -615.5 + 629.5. Which is the closest to 33? (a) -2\/5 (b) 1 (c) y (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 b, and 1 g when three letters picked without replacement from xxbgpxtbpppbpb.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2515522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c + 1. Let f be a(-2). Let u = 42 - 36. Calculate the lowest common multiple of f*(-1 - (-36)\/20) and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/6*12 - (-19 + 5 + 18)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((0 + sqrt(700) + 3 - -6*(sqrt(700) + 2))*1)**2.\nAnswer: 2100*sqrt(7) + 34528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -3 + 2 - (-9 + 3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -135.59 and -34.7904.\nAnswer: -170.3804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25 and 80?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 6 (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2268))\/(sqrt(24)\/sqrt(96)).\nAnswer: 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 11874874 divided by -539767\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 12*w**2 + 18*w + 13. What is b(10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 136 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 3:11 PM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**3 + 3*d**3 + 5*d**5 + (-2*d**2 - 2*d**4 + 2*d**2)*(-5*d - 4 + 3 + 2*d).\nAnswer: 11*d**5 + 2*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 426?\nAnswer: 426","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, m: 2, o: 1, n: 3}. Give prob of picking 1 n and 1 o.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(11)*-1 + 2*sqrt(1584))*-6)**2.\nAnswer: 174636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -34 in -2\/5, -2, -1, 0.6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2210122 (base 3) to base 12\nAnswer: 1222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 3 - 17. Let h(r) = -6*r + 1. Does 8 divide h(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53 - (-59 - (-560)\/28)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1164529?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5806\/(-448) - (9 + 625\/(-70)). Is -13 bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + -53\/4. Suppose -2*t + 12 = -4*b, -6 - 4 = -3*t - 2*b. Let m = t + -1. Put m, 0.2, n in decreasing order.\nAnswer: m, 0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 24*v - 6*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23.14 + -23. Let o = 3.14 - w. Let x = 0.3 + -0.1. Sort 0.8, o, x in descending order.\nAnswer: o, 0.8, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1215 - -1212. Let r = -631 - -632. Let i = 1.2 + 3.8. Which is the closest to -2\/9? (a) i (b) r (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 603 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/19 + 29\/95. Let t = -463.5 + 276.4. Let o = -187 - t. What is the third biggest value in s, o, 1, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -68677 or -68673?\nAnswer: -68673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 352287691 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s + 2. Let c(h) = 2. Let r(i) = -7*i - 37. Let f be r(-5). Determine f*j(q) + 3*c(q).\nAnswer: 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/3*24\/(-4*35\/14)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1001)\/(-364)*(-1162)\/(-913)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (4 + -1*sqrt(363) + sqrt(363))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1965958.023572 - -0.38\nAnswer: -1965957.643572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 4, 5*j = 2*j - 3*h + 63. Suppose 0 = 4*g + 1 - j. Solve -4*u - g = -0*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in 0.5, 0.3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, v: 4, e: 2}. Give prob of picking 1 v and 1 e.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 831071679 to the power of 1\/2, to the nearest integer?\nAnswer: 28828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 2*j - 56, -5*j - 10 - 100 = 4*t. Find the common denominator of 534\/(-8)*(-4)\/t and 273\/60 - 2\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59169610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 5*b + 3. Let o be p(3). Let t be (-164)\/(-9) + (-4)\/o. Suppose -15 + 120 = 2*k - 3*j, -3*j - 15 = 0. What is the greatest common divisor of t and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 696260881 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b - 5. Let a be h(6). Solve -a + 21 = -5*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 25*x**2 - x + 77. Is q(-12) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 15*r - 7)*(-2*r - 3*r + 6*r + (1 - 3 + 3)*(-r + 3*r - 4*r) + 2*r - 2*r - 2*r) in the form y + v*r + o*r**2 and give o.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -172 divided by -172?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -292.4 - -294.247. Let y = 0.187 + x. What is y rounded to one decimal place?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 82, 166, 250, 334, 418?\n\"Answer: 84*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 6*r**2. Let b(y) = 272 - 272 - 2*y**2. What is b(v(p))?\nAnswer: -72*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/4932 and -133\/288?\nAnswer: 39456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 - (20\/13)\/(2\/5). Put k, -5, -0.1, -46 in descending order.\nAnswer: k, -0.1, -5, -46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -502 - -580. Let j(z) = 5*z**2 + z + 4. Let h be j(3). Calculate the highest common divisor of b and h.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 35.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13950a0 - -6?\nAnswer: -1395095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 8*r = -4*l + 86, -85 = -5*r - 5*l. Suppose 5*x - 1906 = 21*z - 18*z, 4*x - 1520 = 4*z. Let y = 399 - x. Is y less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -4*l**2 - 591*l + 18*l + 3*l**2 - 49*l + 314*l = 0.\nAnswer: -308, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3 + 9*u**2 + 24*u**2 - 7 + 2 + 5*u - 32*u**2. Suppose 6*w - w + 20 = 0. Give q(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 5*w**2\/3 + 1467*w + 880\/3 = 0.\nAnswer: -880, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/sqrt(4)*5 + sqrt(68)\/(1*sqrt(4)).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/16 and -9\/490?\nAnswer: 3920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -36*s**5 - 95568*s**4 - 21604120*s**3 - 1285678208*s**2 - 849931588*s - 141256368 = 0?\nAnswer: -2412, -121, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34617?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 315 divide 768984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 6*r - 67212. Let m be 4\/18 + r\/27. Suppose -26 = 4*t - m. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1682*c - 635*c - 2132*c - 351471 for c.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, k: 2, v: 3, n: 3}. Give prob of sequence vvvk.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-35)\/7*339\/(-15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*i**2*z - 35*i**2 - i*z**2 + 13*i - 6380*z**2 wrt i.\nAnswer: 4*i*z - 70*i - z**2 + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38\/4 - 2)\/(16 + (17 - 36)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-33)\/9)*96\/64.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18433 to the power of 1\/2, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62290.8ug to grams.\nAnswer: 0.0622908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1575\/42*(-15)\/27 + 19\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1200, 0.4, 2\/7 in decreasing order.\nAnswer: 0.4, 2\/7, -1200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4099.413 decades to years.\nAnswer: 40994.13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-8)*(-42)\/735*6?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -20 - -3) + 2 + (93 - 46) + -36?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2518044827?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-141)\/(-27) + (-4)\/18. Suppose 4*a + q = 195, -6*a + 4*a + 2*q + 110 = 0. Suppose r*o = 3*o + a. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 7, f: 2, v: 11}. What is prob of picking 3 v and 1 y?\nAnswer: 77\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -43*r - 350 - 31 - 995 for r.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*j - 6*j - 89 = 0, -167 = -4*y - 5*j. What is the remainder when 212 is divided by y?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -317, -1046, -2185, -3734?\n\"Answer: -205*z**2 - 114*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23194137?\nAnswer: 3, 17, 127, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/8 of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.9 in -4, 115, 4\/33, -1\/5, -1\/3?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4*t - 70 = 0, -4*p + 6*t - 10*t + 92 = 0. Suppose 2*y + 5*z = 249, -y + 5*z + p = -110. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 + -88. Let m = -360 - s. Let x = 406 + m. Is x a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -316 (c) 1550 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-351)\/(-234))\/(1284\/(-146)) and 25\/6.\nAnswer: 1284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -3*z. Let k(j) be the third derivative of 0*j**3 + 0*j**5 + 0*j + 2*j**2 + z*j**4 + 0 - 1\/60*j**6 + 1\/105*j**7. Factor k(f).\nAnswer: 2*f**3*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 10:02 AM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1279917673 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*s**2 + 2*s**2 - 4*s**2 - 16*s**2.\nAnswer: -29*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1491493 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18027 + -17888. Solve -w*t + 7 = -140*t for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31342224 (base 5) to base 12\nAnswer: -107891","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 4*d**3 - 456084*d**2 + 13146627456*d - 8290905707520 = 0.\nAnswer: 645, 56688","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -a**6\/120 + 11*a**5\/60 - 3*a**4\/8 - 5*a**3\/3 + 15*a**2. Is j(7) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, e: 8, w: 1, d: 4}. Give prob of sequence dw.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -37*v - 116. Let b(m) = 12*m + 39. Let u(s) = -11*b(s) - 4*f(s). Differentiate u(t) with respect to t.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -5*l**2 - 12*l - 2. Suppose 0 = -2*a + 6*a - 16. Let h(p) = 6*p**2 + 13*p + 3. Let y(r) = a*h(r) + 5*u(r). Is 14 a factor of y(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36716 - 36711. Let v(i) = -3*i - 5. Let g = -11 - -6. Let c be v(g). Solve 1 = -w*z - 5*q - 9, 3*z - 5*q - c = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 211*p + 554214 - 5589307 = 0. What is the hundreds digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14415933 smaller than 72079667\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 10:30 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of m**7\/210 + m**5\/60 - 8*m**2. Find the third derivative of f(c) wrt c.\nAnswer: 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -37855565*a**4 - 2*a**5 - 10*a**2 - 550*a**3 + 37855850*a**4 + 555*a - 3*a**5 - 275 = 0?\nAnswer: -1, 1, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/205232 and 37\/2.\nAnswer: 205232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 0.4 (b) 0.3 (c) -2\/9 (d) 8\/3 (e) 14\/9 (f) 2\/7 (g) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i**2 + 28*i + 1. Let k be r(9). Suppose -4*p - 2*b + 0*b + 30 = 0, b + k = 3*p. Solve 2*o = -4, -3*w + p*o - 1 = 1 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q**5 - 84*q**4 + 684*q**3 + 16724*q**2 + 15960*q = 0. Calculate q.\nAnswer: -19, -15, -1, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8926159007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -137*l. Let g(r) = r**2. What is g(k(v))?\nAnswer: 18769*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6c00 - -35?\nAnswer: 6c35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b - 4. Let k be t(-8). Suppose 0 = -2*q - 12, -24 + 8 = a + 3*q. Let h be 2\/8 + (-1)\/4. Solve -v - a*v - k = h for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/5)*o)**4 assuming o is positive.\nAnswer: o**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -5*l**4\/12 + 110*l**3\/3 - 215*l**2\/2 + 54*l. Factor q(v).\nAnswer: -5*(v - 43)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*m**3 + m**3 + 2*m**3 + (-m**2 - 4*m + 4*m)*((-56 - 205 - 80)*(-m - 2*m + 4*m) + (-2*m + 0*m + 0*m)*(2 + 2 - 2)).\nAnswer: 343*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 12:46 PM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of r**3*z - 2517521*r**3 + 2*r*z + 3337208*z wrt r?\nAnswer: 6*r*z - 15105126*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-562)\/(-10) + 2118\/(-1765) and 42?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/2)\/(((-6426)\/(-5780))\/63*(-15)\/(-9))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -16*j + 24. Let y(d) = 19*d - 25. Let m(f) = -6*k(f) - 5*y(f). Determine m(11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-85)\/(-20)*2 + 1\/2. Let x be (-2 - -1) + (-5)\/((-15)\/r). What is the third derivative of -x*t**2 + 0*t**2 - 3*t**2 - 2*t**2 + 18*t**6 wrt t?\nAnswer: 2160*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*i**3 - 5*i**3 + 0*i**3)*(2*i**2 - 4*i**2 - i**2).\nAnswer: -15*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in 0.38, -0.5, -58, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/8*2968\/(-318). Let g(w) = -w**2 - 5*w + 21. Determine g(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h + 0*h + 816 = 0. Let n = 312 + h. Does 46 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -35*f - 36. Let s be w(-4). Differentiate 1329 + s*r - 726 - 669 wrt r.\nAnswer: 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3*s - 6. Let w be a(6). Suppose 4*y = 1 - 5. Let x = y + 5. What is the highest common divisor of x and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/7 + 10\/14. Suppose 1 = 2*v - n. Let b = 1 + v. Calculate the remainder when 3 is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -5*y + 1, -4*y = -3*x - 20. Suppose -5*v = -11 - 4. Let p be v*2 - 6\/3. Solve -5*f + f + p = x for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**3 - 289791*l**2 + 869391*l = 0.\nAnswer: -289797\/2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2130, -8582, -19424, -34728, -54566?\nAnswer: -79010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**3*w**2 - 4*h**2*w**3 - 25661*h**2*w + 4*h*w**3 - 2069*h - w**3 + 16*w wrt h?\nAnswer: 12*h*w**2 - 8*w**3 - 51322*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 369 and 82.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1675743?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -1.888.\nAnswer: 7.552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yxx when three letters picked without replacement from zyzxzyzzxyzxyzxkzzsz.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -550, -2182, -4892, -8674, -13522?\n\"Answer: a**3 - 545*a**2 - 4*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ohohbhzhqsss. What is prob of sequence zso?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1025 a factor of 613975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4, 31, -3.13, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -5*j. Let b(p) be the first derivative of 3*p**2\/2 - p - 3. Let f be b(1). Let d(a) = -a - f*a + a. Calculate q(d(h)).\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1560976200 to the nearest one million.\nAnswer: 1561000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21263?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 90, 180, 270, 360?\nAnswer: 450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2 + 694*j - 2808.\nAnswer: 2*(j - 4)*(j + 351)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*g - 2 - 1 + 5 + (-2*g + 3*g + 0*g)*(-1 + 3 - 3) as u + f*g and give f.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -11 (b) 755 (c) -1.05 (d) -0.024\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7945322*u**2 + 2 - 7945283*u**2 - 2.\nAnswer: 39*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.580657 rounded to 2 dps?\nAnswer: -1.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.2 - 0.2. Let p = -204.47 + 206. Let z = -2.03 + p. Which is the nearest to 0? (a) 0 (b) j (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 7653600?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 48 = -27. Let n = g + 5. Let w be (-9)\/20 - (-6)\/n. What is the third smallest value in -0.4, w, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3993, 4008, 4023, 4038, 4053?\nAnswer: 4068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27044930?\nAnswer: 2, 5, 11, 245863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120011 (base 3) to base 14.\nAnswer: -213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 0*u + 3*u + 14 = 0, -2*o - 4*u = 16. Let m(r) = -r - 2. Let k be m(o). Solve k*c - 5 = -1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v**3 + 21*v**3 + 13*v**3.\nAnswer: 38*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8880 divided by -1480.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -4*y**2. Let g(k) = 2*k**2 - 90890. Determine g(m(a)).\nAnswer: 32*a**4 - 90890","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 9*y**2 - 2*y - 13. Let f be w(-9). Let q(o) = -o**2 + 7*o - 6. Let p be q(f). Suppose 0*c = -p*c + 80. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 152*y + 71*y + 161*y - 137*y - 8892 for y.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2480.99517 - -2481. What is o rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 10*v**2 - v - 11. Let t(l) = -l**2 - l - 10. Let a be t(0). Let f be b(a). Put 3, f, 4 in descending order.\nAnswer: 4, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3848314031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 163.2 + -163.3. Which is the closest to n? (a) -1.6 (b) -3 (c) -2 (d) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12.59749 - -12.6. Round i to 4 dps.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (23 - 14) + (-7 - 14)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 544 and 821848?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 34.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -10*t**2 - 6 + 0 + 3*t**2. Let b(c) be the third derivative of 0*c + 97*c**2 + 0*c**4 - 1\/10*c**5 + 2 - 5\/6*c**3. Calculate -6*b(a) + 5*k(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3 + 264*f**2 - 50772*f + 100464.\nAnswer: 3*(f - 92)*(f - 2)*(f + 182)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 2.2, 0.8, -0.1, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w**5 - 44*w**4 - 184*w**3 - 360*w**2 - 324*w - 108 = 0 for w.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of 13*g**4\/3 + g**3\/6 - g**2 + 13*g - 3. What is the tens digit of d(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 12*d**2 + 235*d + 1281. What is x(-11)?\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 4:34 AM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1079\/35 + -220\/7. Put 2\/3, -2, z, 423 in decreasing order.\nAnswer: 423, 2\/3, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-5))\/(9\/((-2457)\/26))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 16, 5*n - 10 + 0 = -3*u + 3*n for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -3) + 5 - -1 - (-4 - 1)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10210264 (base 7) in base 15?\nAnswer: -11ead7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of 2*u**3\/3 + 4*u**2 - 3*u + 7. Does 39 divide f(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1479 or 1583?\nAnswer: 1583","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 3 - 4. Is (-6198)\/(-15) + y\/5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8280 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.062 - -0.06200094. Round b to 7 dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.01 - 3.99. Let k be 2 - (0 + 32\/18). Let t be 24 - 27 - (-8)\/2. Which is the nearest to t? (a) 4 (b) k (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 p when two letters picked without replacement from {j: 1, p: 4, o: 2, i: 2}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 30*y**2 - 3*y. Let o be u(2). Let j = o - 796\/7. What is the second biggest value in j, 0.2, 0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 4*i = -27, -5*a + 577 = -4*i + 570 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 26 - 77*k - 26 + (1 + 2 - 1)*(2*k - 4*k + 3*k) in the form o*k + t and give o.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 8115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4031356 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.42 + -3.42. Suppose -h = 2*o, -4*o = -4*h - 5 + 17. What is the nearest to m in 0.9, 0.3, h?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2310 by 10.\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25033 + 25383 - 25*y**3 - 50416.\nAnswer: -25*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 656023 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 301\/(-35)*(1920\/385 - 5) and -23\/2750.\nAnswer: 19250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/1096 (b) -6 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-3) + 0)*-6. Suppose -21*j = -23*j + 8, j = -4*h + 28. Solve 2*w - p*q = h, -w - 3*w - 4*q = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xpbp. What is prob of picking 1 p and 1 x?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15792 or -400?\nAnswer: -15792","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-260)\/(-50) + 2\/(-10). Suppose -10*v + 14*v - 4346 = -2*r, -b*v = r - 5434. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**2\/5 - 1636844*v + 1674536425210 = 0. What is v?\nAnswer: 2046055","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000147766 rounded to 7 decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 7:29 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 163501 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*r + 1286*r + 987*r = -80*r + 271558 for r.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -37, -1, -540 in ascending order.\nAnswer: -540, -37, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1897)\/(-28) - 3\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - 2*z - 5*z)*(0*z**2 + 0*z**2 + z**2)*(0*z + 5*z + 3 - 2*z).\nAnswer: -9*z**4 - 9*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2789, -2787, -2785, -2783, -2781, -2779?\n\"Answer: 2*l - 2791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c + 796 = 17*c. Let o = c + -797\/4. Let l = 0.9 - 39.9. Which is smaller: o or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*f**2 - 6*f**2 - 20*f**5 + 3*f**5 - 4*f**5 + 4*f**5 + (0*f + 0*f + 2*f**3)*(0 - f**2 + 0).\nAnswer: -19*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 85303\/32 - 2663. What is the common denominator of 87\/4 and l?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/7544 and -37\/960664.\nAnswer: 39387224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 1785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**3 + 2*d**2 + 2817*d - 3200*d - d**3 - 6787*d.\nAnswer: -4*d**3 + 2*d**2 - 7170*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5069067?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/2697560 and -65\/28.\nAnswer: 18882920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2a75 (base 16) to base 10\nAnswer: 10869","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -269*o + 1. Let z(v) = -v**2. Calculate z(k(b)).\nAnswer: -72361*b**2 + 538*b - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h*h**(-1\/7)))\/h*h**(-2\/9) assuming h is positive.\nAnswer: h**(-131\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 - -47. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720)*-2*5)**2 + sqrt(720).\nAnswer: 12*sqrt(5) + 72000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 4:26 PM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/6)\/((-45)\/(-6)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -91da + -3723?\nAnswer: -c90d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s = -2*w + 16, 20*s - 20*s + 0*w - 153 = -9*w for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1584\/72*(-3)\/(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.02 and -26.4.\nAnswer: -0.528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-80)\/70 - 360\/(-70). Let r(x) = -3*x - 7. Let p(n) = -n - 9 + 6*n + 22. Determine w*p(u) + 7*r(u).\nAnswer: -u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 160200242 and 4?\nAnswer: 320400484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 86, 473, 898, 1361, 1862, 2401?\nAnswer: 2978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 115283\/12 + -9619. Calculate the common denominator of f and 1\/(-3)*(-426)\/(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 2 + 4. Let f be (-12)\/(2 + (-8)\/n). What is the units digit of (-1)\/(((-21)\/f)\/(-7))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -454264 divided by -984\nAnswer: 56783\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i + 11. Suppose 10*r = -3*r + 117. Let x be v(r). Sort x, 5, -11 in decreasing order.\nAnswer: 5, x, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 1652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 72310414393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-231)\/(-28)*(12\/7)\/(612\/(-952))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/8)\/(20\/(-400)). Factor 4*z + 2*z**2 - 309*z**4 + 307*z**4 - 6*z**3 + z**r + z**5.\nAnswer: 2*z*(z - 2)*(z - 1)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-six fifths of a week?\nAnswer: 52416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.4 - 0.4. Let y = a - 4.2. Let j = -0.8 + y. What is the closest to j in 0.4, 1, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 15*p**2 - 11*p + 27. Give m(-14).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 8568?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - 0) + 10 + (-7 - -8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4951502 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/139 not equal to 0.23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/3*(3402\/147 + -23)*-21.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44096 and 1696?\nAnswer: 44096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - 7*k**2 - 6*k + 8. Let u be j(-6). Let m be ((-6)\/8)\/(u\/(-1536)). Calculate the greatest common factor of 16 and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**4 - 1393*d**3 + d**2 + 1393*d**3 + d to u*d**3 + b*d**4 + t*d**2 + y*d + p and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 7*t**2 + 7*t. Let i(b) = -2*b**2 - 2*b. Let u = -8 - -41. Let m be 456\/u + 2\/11. What is m*i(d) + 4*h(d)?\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 287 at most as big as 264?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n - 1. Let f be w(-6). Suppose -2*u = f*o - 23, -5*o + 4*o + 1 = 4*u. Let s(b) = -6*b - o + 6 - 3. Determine s(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -104, -105, -106, -107?\n\"Answer: -w - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 642 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: Calculate the remainder when 1400246 is divided by 81.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12117015 divided by -1465?\nAnswer: -8271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.7346 - 5.2654. What is the fourth biggest value in v, 1\/2, -3.6, 3, 0.3?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and 2455119150.\nAnswer: 2455119149.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 (base 16) in base 4?\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 850451416 to the power of 1\/3, to the nearest integer?\nAnswer: 947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in 83, 0.05, 13, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -44 - -503. Let w = 747 - f. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(171) + (sqrt(171) + 1 + sqrt(171))*-5 + (5 + sqrt(171)*1 - sqrt(171)) + -3 + 0 + sqrt(171) + sqrt(171) + 4 + 5)**2*1.\nAnswer: -42075 + 1260*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002003016 rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/13, 1, -2, 26\/3?\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -12*n - 3*n. Suppose 5*p - 56 = -n*p - 3*q, -2*q + 14 = p. What is the lowest common multiple of p and 45?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -3*t - t**2 + 0*t**2 + 10*t + 3. Let c(s) = s**3 - 5*s**2 - 6*s + 7. Let u be c(6). Does 2 divide p(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/2 (b) 206 (c) 2\/705\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -233, -500, -789, -1094, -1409, -1728, -2045?\n\"Answer: z**3 - 17*z**2 - 223*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 42*q**2 - 105*q - 543. Let v be z(-5). Is v equal to 1038?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**3 - b**3 + 5*b**4 + (-3 + 3 - 2*b)*(2*b**2 + b**2 + 0*b**2)*(-b + 306*b - 103*b).\nAnswer: -1207*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1872))*6 + sqrt(1872) + (1 + (sqrt(1872) - (sqrt(1872) + 1)))**2)*-6.\nAnswer: -504*sqrt(13) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2 + 92230*h + 2126593225.\nAnswer: (h + 46115)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1044, 885, 680, 429, 132, -211?\n\"Answer: -23*y**2 - 90*y + 1157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qf when two letters picked without replacement from qllzqf?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 4 + (-10 - -6) - -2\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*o = -t - 95, -2*t + 213 = o + 207 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -3*b**3 - 2*b**2 - 3*b - 2. Suppose 5 = 2*p + 3, -2*w - 4*p = 0. Determine m(w).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 684?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 110, 251, 486, 815, 1238?\nAnswer: 1755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5051\/1560 + -98\/39. Let f(q) = 4*q - 3. Let k be f(3). Calculate the common denominator of y and 2236\/(-448) - k\/(-21).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -6013?\nAnswer: -6013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7390453 rounded to two decimal places?\nAnswer: 0.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3*x - 85 = 3*q, 0 = 4*x - 5*q - 333. List the prime factors of x.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29599?\nAnswer: 29599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 616.3658g to tonnes.\nAnswer: 0.0006163658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/(-48) - (25\/(-4) + 0). What is the highest common divisor of q and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 30?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -5*x**2 - 2*x. Let v(t) = -t. Let l(w) = -a(w) - 2*v(w). Find the second derivative of l(p) wrt p.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 6100500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.527 - 1.5269959832. What is k rounded to 7 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of w**4\/12 - 9*w. Let d(t) be the second derivative of t**3\/3 + t. Calculate d(h(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2\/7, 1\/5, 3 in decreasing order.\nAnswer: 4, 3, 1\/5, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 37 = 3*j + 23, j - 4*f = -17. Suppose 2*x - 4 + 8 = 0. Let a = x + -1. Put -5, 5, a, j in descending order.\nAnswer: 5, j, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -49*g - 11. Let k be p(4). Let t = k - -2073\/10. Which is smaller: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wzqwzqqqqqwzczzwwlqq. Give prob of sequence lwqw.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 394433373?\nAnswer: 3, 241, 545551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hnc when three letters picked without replacement from {k: 4, h: 1, d: 2, m: 6, c: 2, n: 2}?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)*-1*3 + sqrt(228) + sqrt(228))\/(sqrt(12)*1*6) - (-4*(-2*sqrt(114) + sqrt(114)))\/(sqrt(6) + (-1*sqrt(6) + sqrt(6))*6)*-6.\nAnswer: 143*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -109 - -102. Let l(a) = -545*a - 6. Let j be l(z). Suppose 3*m + 566 = j. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*x**5 - 4453*x**4 - 65191*x**3 + 393453*x**2 - 547362*x + 223560 = 0. What is x?\nAnswer: -621, -20, 6\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 971660547 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1799 - -7869. Does 13 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 2*u + 13 + 16, 0 = -d + u + 3. Suppose -3 = d*y - 18. Solve 4*h = -5*x + 5, 0 = -y*h + x + 4 + 14 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - (-51)\/2 - (-1452)\/(-968). Calculate the highest common factor of z and 228.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -177 + 179. Suppose -d = -k*d + 2*g - 47906, -3*g = 4*d + 191591. Round d to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2368 is divided by 24?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - (58 + -12 - 12)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + 11\/((-55)\/12). Let a = 2.1 - 2. Which is bigger: m or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272 is divided by 225?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -56038 (base 9) in base 7?\nAnswer: -213332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 29*m**2 - 39*m + 50. Is 11 a factor of k(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -58 + 49. Which is smaller: a or -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*j - 1478 = -42*j + 1272 for j.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(19\/3)*p)\/p**(-2\/143))**2 assuming p is positive.\nAnswer: p**(6304\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i. Suppose 10 = -m + 3*w, -m - 3*w + 16 = m. Let a(p) be the first derivative of 1\/2*p**m + 1 + 0*p. Calculate d(a(q)).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 242*t - 7 + 47 + 14 - 9 - 59*t.\nAnswer: 183*t + 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 249476468?\nAnswer: 2, 31, 2011907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 2:00 PM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(77\/(-6)))\/((-10)\/70*1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(78))\/sqrt(6))**2 - (sqrt(78)\/(sqrt(6)*2) - sqrt(13))**2) + 1*sqrt(832)*-1.\nAnswer: -8*sqrt(13) + 195\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 4*y. Let s(h) = -4*h. Suppose -2 = -6*l + 22. Let o be (60\/35)\/(l\/(-14)). What is o*s(r) - 7*g(r)?\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -987 - -918. Let r = i + 68.8. Which is the closest to -1? (a) 5 (b) r (c) 30 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169328?\nAnswer: 2, 19, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-2 - 4 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 10 = 4*p, 0*o - p = -2*o + 5. What are the prime factors of (3\/o)\/((-39)\/(-338))?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2. Let l(z) be the third derivative of 0*z**4 - 26*z**2 + 0*z**3 + 0 + 37\/60*z**5 + 0*z. Calculate y(l(u)).\nAnswer: 1369*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 0.1, -20455\/7, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212662473.\nAnswer: 3, 1229, 57679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/3))**(-2\/17)*(p*p\/p**(-2))**23)\/(p*p**(-2\/23)*p*p**2*p*(p**(-1)\/p)**34) assuming p is positive.\nAnswer: p**(181871\/1173)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -588 + 598 - ((-4)\/(-16) - (-74)\/(-8))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.958 - -429.042. Let m = h + -431. What is the fourth biggest value in -2\/5, m, 5, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -113 + 113. Suppose 91*c - 86*c - 180 = x. Suppose 0 = -32*d + c*d - 612. What are the prime factors of d?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + 31*h + 98. Let m be p(-28). Let d = -7 + 14. Let g = 133 - d. What is the highest common divisor of g and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -21, -3, 16, 4, 2.\nAnswer: -21, -3, -1, 2, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -5*x + 8*x. Solve x*p + 6 = 2*i, i + 5*p = 4*i - 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0)**(-5\/3)*(f**4*f)\/f*(f**(-3\/4)*f*f*f*f*f)\/f*f assuming f is positive.\nAnswer: f**(33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 12*z**3 + z**2 - 5*z - 5. Suppose -36 = 3*l - 4*v, 20*l - 12*v = 17*l - 60. Let c(p) = -18*p**3 - 2*p**2 + 8*p + 8. What is l*t(y) - 5*c(y)?\nAnswer: -6*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 * -0.65.\nAnswer: 6.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*z - 5*y + 1, -4*y = -8. Calculate the remainder when 9 is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 15*h**2 - 15*h - 16. Let b be c(-14). Let m be 5\/b + 17\/(-34). Let k be (0\/m)\/(1*-2). Solve d + k*d - 7 = 2*o, -14 = 5*o + d for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27480728 and 616?\nAnswer: 192365096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 185\/721 - -3\/103. What is the nearest to -1 in -1, 1, x, -36?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.717018 centimeters to millimeters.\nAnswer: 97.17018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = -6641 - 11087. List the prime factors of i.\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 267124268.\nAnswer: 2, 19, 3514793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3*f + 1. Let l be u(6). Let o = 27 + l. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4640 and 1363.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.17 + -0.03. Let z = p + 0.4. Let u = -110463\/13 + 8497. Put z, u, -0.5 in ascending order.\nAnswer: -0.5, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - 21*p**2 - 27*p - 21. Let v be l(-20). Suppose 0 = 2*y + v - 159. Calculate the smallest common multiple of 7 and y.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3 + 174*a**2 - 7209*a - 31684.\nAnswer: -(a - 89)**2*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2c890 (base 13) to base 2.\nAnswer: 10100101111011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -524 - 336*n**2 + n + 357*n**2 - 639 + 5*n**3 wrt n?\nAnswer: 30*n + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-63)\/((-756)\/24)*(-64)\/(-4).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 9:13 PM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1.1, 256, 1, -7, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 86.71895ns?\nAnswer: 0.00008671895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 39*t**2 + 174*t + 94. Calculate o(43).\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d - d**2 - 2*d**2 + 7*d**3 + 2*d**2 + 1. Let q = 587 - 586. Give k(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**2\/7 + 45090*d\/7 - 586508\/7 = 0. Calculate d.\nAnswer: -22558, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -12. Let h = -570.6 + 571. Put o, -1, h, 7 in descending order.\nAnswer: 7, o, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -i + 19, -3*i + 80 = 2*i - 5*j. Let c(a) = a**3 + 12*a**2 - 12*a + 22. What is the smallest common multiple of c(-13) and i?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -1. Let l be 5 - 3 - 0*2\/(-6). Let g(b) = -l*b + q*b - b - b. Let t(u) = -4*u**2. Determine t(g(o)).\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 157 - 155. Factor -3*t**v + 3\/2*t**3 + 0 + 3\/2*t.\nAnswer: 3*t*(t - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - -1)*(2 - (8 + -1)). Let s be (-2)\/(-8) - 14\/(-8). What is the third smallest value in s, 3, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 j, and 2 i when four letters picked without replacement from xjxxixizxii?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 259.836 and 359.\nAnswer: 93281.124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -6*b**3 - 15*b**2 - 12*b + 6. Let g(h) = -3*h**3 - 7*h**2 - 6*h + 3. Let y(f) = -5*g(f) + 2*l(f). Find the second derivative of y(c) wrt c.\nAnswer: 18*c + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l + 7. Suppose -10 + 2 = 4*f, 0 = 2*g - 5*f - 94. Suppose 41 = 4*v - 5*m, -4*v - 4*m + 65 = -m. Suppose -7*r + g = -v*r. Give y(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-5))\/(554712\/(-15940))?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215645 is divided by 43129.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.784455887 to 0 decimal places.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1026.375 rounded to the nearest 10?\nAnswer: -1030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000000555631637 to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - 13. Suppose -s - 5*j + 207 = 0, m*j - 4*j + 378 = 2*s. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4*v - 76 = 0. Does 6 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*h - 1603*h**2 + 1604*h**2 + 22*h.\nAnswer: h**2 + 56*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5014550 (base 8) in base 10?\nAnswer: -1317224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 9:33 AM?\nAnswer: 162","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -9*k**3 - 6*k**2 - 3*k + 2. Let t(b) = b**3 + b**2 + b. Let q(j) = i(j) + 5*t(j). Let f = 7 + -10. Is q(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 1:44 PM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*l + 0*l - l)*(1 - 1 + 2*l) - 4*l**2 - l**2 + 3*l**2 + 90*l**2 - 43*l**2 + 58*l**2 as c*l**2 + q*l + y and give c.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 142272 less than 142265?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -7. Suppose i - 16 = -3*x, -2*i + 0*x + 3*x = l. Suppose -3*z + 7 = -i*n, z + 33 = 6*z + 4*n. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 121 + 97 - 209 + 85*a to y*a + j and give y.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -2.8. Suppose -73 = 9*o + 8. Let z be o\/(-6)*(68\/(-36) + 2). Put n, 5, z in decreasing order.\nAnswer: 5, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15.07 + 15. Sort 1, q, -0.1 in decreasing order.\nAnswer: 1, q, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + 2)\/(3\/12*4). Sort 6, p, 5 in descending order.\nAnswer: 6, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1122019078 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -3*55\/(-33) - (-10)\/(-2)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14732 and 232?\nAnswer: 29464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2129944648.\nAnswer: 2, 13, 449, 45613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3*o + 556 = 0, -u + 154 = o + 2*o. List the prime factors of u.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 2*c**2 - 2*c. Suppose -319*w - 5775 = -354*w. What is the remainder when w is divided by f(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvmcmvcvcmsbvsvcbv. What is prob of picking 1 b, 1 m, 1 v, and 1 c?\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 7 = 2*m, -4*g + 0*m = 2*m - 4. Suppose 7*n - 30 = 2*n. Suppose 0 = t - 4*r - 37, -n = g*r - 21. Does 19 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**1*q))**(-42)\/(q**7\/(q\/q**(-2))) assuming q is positive.\nAnswer: q**80","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -487*h + 38479. Calculate z(79).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2*sqrt(17)*5.\nAnswer: 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*q**3 - 16*q**3 + 35*q**2 - 14*q**3 + 4)*(20*q - 7*q**2 - 20*q).\nAnswer: 7*q**5 - 245*q**4 - 28*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - 4. Let u be h(-4). Suppose 9*o - 15 = u. Factor -1\/5*l**2 + 2\/5*l**o + 1\/5 - 2\/5*l.\nAnswer: (l - 1)*(l + 1)*(2*l - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*g**3 + 0*g**3 + 2*g**3 + 4*g**3 + 4*g**3.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*a**2 - 2*a**2 + 2*a**2)*(-16 + 6 + 6)*(-4*a + 0*a - 4*a) + a**3 + a**3 - 3*a**3 in the form i*a**3 + d + h*a + m*a**2 and give i.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6708*j - 216 = -6762*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(-11)\/264*-16*(-2)\/(-22).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rddrrrdrrd. What is prob of sequence rr?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(1\/5))**39*d**(1\/9)\/d*d**3)**(-5\/4) assuming d is positive.\nAnswer: d**(-2201\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + 0 + sqrt(468) + -1) - ((sqrt(130) - -2*sqrt(130)*-1) + sqrt(130))\/(sqrt(40)\/sqrt(4)*-1).\nAnswer: -18*sqrt(13) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -576213, -576920, -577627, -578334, -579041, -579748?\n\"Answer: -707*c - 575506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 61 + -56. Suppose 5*i + 8 = m + 3*i, -b*i - 5 = 5*m. Solve -5*o + 31 = -5*w + 6, 0 = m*o + 3*w + 5 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1114)\/5)\/((80\/(-25))\/8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.45404 - 228?\nAnswer: -228.45404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 561666040 to the nearest integer?\nAnswer: 23699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v = 111156 - 12525. Suppose -4*x - 5*t = -v, 3*x - 8228 = -t + 6*t. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 134, 269, 404?\nAnswer: 539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(13) - (sqrt(13) + sqrt(325)) - sqrt(13)) - (sqrt(13)*-1 + -3) - -3*-3*sqrt(1300)*1)**2.\nAnswer: -1140*sqrt(13) + 117361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/(sqrt(16)\/sqrt(2)) + sqrt(6)\/sqrt(3)*-2.\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -59\/4 (b) -3\/8 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4854515 - -0.318?\nAnswer: 0.8034515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.635954 microseconds in seconds?\nAnswer: 0.000007635954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/218 and -83\/22.\nAnswer: 2398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -82 - -104. Let k(t) = -t**3 + 20*t**2 + 45*t + 31. What is the remainder when 103 is divided by k(d)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 + -5. Suppose n = 4*c + 3. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 1257 = -3*m - 32, 0 = 2*m + 2*f - 816. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-2)*(-4)\/1. Let i be 26\/10 + w\/(-5). Suppose i*s = 4*m - 93, -4*s - 90 = -4*m - 2*s. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3083677 is divided by 892.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 4*x + 15, 3*i - i - 35 = 5*x. Suppose i*v = -4 + 9. Solve y = -0*y - v for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 2*u + 3*u - 5, 3*u - x - 4 = 0. Let y(r) = -r + 6. Let v be y(u). Round v to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n + 491*n - 988*n + 500*n.\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -155*d**3*x**6 - 1776*d**3*x**2 + 3*x**6 wrt x.\nAnswer: -18600*d**3*x**3 + 360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 24802, 24789, 24776, 24763, 24750, 24737?\n\"Answer: -13*t + 24815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**2 - j**2 + 380*j**4 - 984*j**4 + 1701*j**4 + 1606*j wrt j.\nAnswer: 13164*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-5 - 2))*(-87)\/(-116).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96)\/sqrt(2)*6)**2 + -3 + (sqrt(1200) - sqrt(48)))*-6.\nAnswer: -10350 - 96*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1056 divided by -16\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 6*s**2 + 7*s - 11. Let v be j(5). Which is smaller: v or -1\/14?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 12018 + 12018 - 24036 + 2692*l**2. Let f(a) = 2*a. Give q(f(g)).\nAnswer: 10768*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s**3 - 6857935*s**2 + 2351560194240*s + 2351567052180 = 0.\nAnswer: -1, 685794","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-8))\/((-1)\/(-6)) + 15. Find the third derivative of 2*k**4 - 35*k**2 - 5*k**4 - 4*k**2 - t*k**2 wrt k.\nAnswer: -72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -482 + 1159*k - 3587*k + 482.\nAnswer: -2428*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.16 - -0.06. Let h = -0.3757 + -0.0443. Let i = h + 2.42. Which is the closest to -10? (a) m (b) i (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 132332103 - 1210003?\nAnswer: 131122100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -6\/25003?\nAnswer: -6\/25003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 880.\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -324 - -338. Let d(k) = k + 3. Let t be d(-2). Which is the nearest to t? (a) 0.2 (b) 5\/4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = l - 9. Let y be (-4 + 4 + 0)\/(-1). Suppose l*m + m = y. Solve -4*x - x = -10, -5*u + 2*x - 29 = m for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 801 + -3239\/4. Let i = -78259\/12 + 6531. Find the common denominator of d and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 5 - 13. What is the derivative of -6*n**4 - 2*n**2 + w + 2*n**2 - 7 wrt n?\nAnswer: -24*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 - (-2)\/(-12*(-16)\/(-384)). Solve -q - 2*p**3 - 5\/2*p**5 + 6*p**4 + 9\/2*p - 5*p**2 = 0 for p.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 11965.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuiuiii. What is prob of sequence iuu?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 18 - (-4712)\/266.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of -h**8\/1848 + 4*h**7\/1155 + h**6\/132 + 27*h**2 + 2. Factor q(a).\nAnswer: -2*a**3*(a - 5)*(a + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/2943 and -40\/8829?\nAnswer: 8829","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2*a - 122 = 0, 3*g - 111 = -0*g + 5*a. Calculate the greatest common divisor of g and 416.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.125 (b) 0.01 (c) 1\/2 (d) -1 (e) -20\/9 (f) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36 + 33. What is the units digit of 2\/5*(337 - p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2. Let i(v) = 2*v - 1. Let s be ((-80)\/15)\/8 - 14\/6. Let g(l) = -7*l + 7. Let d(b) = s*g(b) - 21*i(b). Calculate k(d(c)).\nAnswer: 441*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**4 + v**4 + 0*v**4)*(-8*v + 1 - 1).\nAnswer: 16*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1553825?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3562*b**2 + 2*b + 1765 wrt b?\nAnswer: 7124*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 560 or 548?\nAnswer: 548","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.2 * 0.7.\nAnswer: -0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-80)\/140)\/(3 - 5).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*s + 573 + 88*s**3 - 1280 - 683 + 3*s**2.\nAnswer: 88*s**3 + 3*s**2 - 10*s - 1390","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -5*x + n, -4*x + 4*n + 8 = -8. Let z(b) = 13*b**3 + 6*b**2 - 6*b + 6. Let s(c) = 25*c**3 + 11*c**2 - 11*c + 11. Determine x*s(i) - 11*z(i).\nAnswer: 7*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, -2\/5, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**3 + 0*i**2 + 0*i**2 + (3*i - 3*i - i)*(0 + 0 + 2*i**2) - 2*i**3 - 3*i**3 + 6*i**3 - 88*i**2 + 18*i**3 - 83*i**2 + 172*i**2.\nAnswer: 16*i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u - 1. Let k(l) be the third derivative of 5*l**4\/24 - 38*l**2. What is a(k(h))?\nAnswer: 15*h - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 233110*d**4*h*s + d**4*h + 215*d**2*s - 7*d**2 - 78*h wrt d?\nAnswer: 5594640*d*h*s + 24*d*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 0 + 33\/5*x**3 - 15*x**2 + 39\/5*x + 3\/5*x**4 = 0?\nAnswer: -13, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -48869228 and -48869228 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -146070, -146077, -146094, -146127, -146182?\nAnswer: -146265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.54 less than or equal to -4612?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 259955 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s. Let n = -2 - -15. Let u(h) = 4 - 2 + n*h - 2. Calculate l(u(w)).\nAnswer: -13*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -16, -46, -102, -190, -316, -486, -706, -982?\n\"Answer: -g**3 - 7*g**2 - 2*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(1375) + sqrt(1375)*2)*-3 - sqrt(1375))\/((((sqrt(121) - 2*sqrt(121)) + sqrt(121) + sqrt(121))*6)\/sqrt(11)))*-4*-4.\nAnswer: -400*sqrt(5)\/3 + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5275 = 4*f - 5*f, -5*a = 4*f + 26402. Let j be (-17568 + -1)\/(10\/3). Let g = a - j. Find the common denominator of g and 57\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39794592 to the power of 1\/2, to the nearest integer?\nAnswer: 6308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 4*m**2 - 2064*m - 2068 = 0.\nAnswer: -1, 517","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = -2*f + 289. Let k = f + -64. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 8. Suppose 102 = m*x - 58. What is the remainder when x is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - g + 2. Let l(f) = f + 7. Let c be l(-9). Let r be q(c). Let t(u) = u**3 + 66. Does 22 divide t(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 229*a + 2195*a - 67872 for a.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128 = -9*k + 205 - 18 for k.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v**2 - 38390 - 15*v**2 - 38395 + 76785 + 7*v**2.\nAnswer: -13*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = -32*w - 38. Let c be ((-44)\/w)\/1*-3. Calculate the greatest common factor of c and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - 11 - (0 + -3) - 1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11.6 - 12.19. Let g = k - -4.59. What is the fourth smallest value in 3, 10, g, 0?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 25923.01 millilitres?\nAnswer: 25.92301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n = 68 - 44 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -178677637 and 4.\nAnswer: -714710548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13140 divided by 3285.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 529 + 0\/(4 + -8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 + 2?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -1\/11*k**4 - 3\/110*k**5 + 2\/55*k**6 + 0*k**2 + 1\/77*k**7 + 0*k**3 + 1 + 5*k. Let m(j) = 0. Calculate j.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**1*n)**(-1\/12))**(8\/5)\/(((n*n**(-1))\/n*n)**(-7)*((n**(-4\/9)\/n)\/n)\/n**(1\/2)) assuming n is positive.\nAnswer: n**(241\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -111092, -111093, -111094, -111095, -111096?\n\"Answer: -k - 111091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - 27*y - 86. Let j be s(-3). Solve 4*p = -5*w + 41, -w - 36 = -j*p - 5*w for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*a*f**2*r + 5*a*f*r + 7*a*r**5 - 17*f**2*r**5 - 29*f*r**2 - f*r wrt r?\nAnswer: 420*a*r**2 - 1020*f**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 111*j**2. Let l = 542 - 238. Let y(z) = l*z - 154*z - 151*z. Give y(p(r)).\nAnswer: -111*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/2631136?\nAnswer: 3\/2631136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 2930 = -259?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 113042 and 406.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16125 - 15319. Calculate the greatest common divisor of 156 and o.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 4*p + 170 = 0. Is 26197\/p*(0 - 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-23)\/(161\/(-56))*-1\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41687532?\nAnswer: 2, 3, 1157987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -1635*z**2 + 820*z**2 + 816*z**2. Let m(h) = -6*h**2 + 56*h. Give m(d(p)).\nAnswer: -6*p**4 + 56*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3503 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in eleven quarters of a millennium?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7790 and 8200?\nAnswer: 155800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/15 - (-2116)\/(-10). Let l be p\/((0 + 3)\/750). Round l to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/14*(-1827)\/1479.\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 140, 220, 302, 386, 472, 560?\nAnswer: 650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 29, 269, 519, 779, 1049, 1329, 1619?\n\"Answer: 5*x**2 + 225*x - 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-8) + 231\/56 + -4. Suppose 5*u = 3*k + 175 + 276, m = 3*u - 5*k - 261. Is 12 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 315 and 3645?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 27 (c) -1\/3 (d) 3 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -63 (b) 5 (c) -32\/7 (d) 5\/363\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.193 - -132.807. Let f = t + -138. Let a = 0.1 + -0.2. Sort f, -1, a in decreasing order.\nAnswer: a, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177*n**2 - 533*n**2 + 180*n**2 - 2 + 178*n**2 - 22*n**3.\nAnswer: -22*n**3 + 2*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 10:16 PM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 - 58. Let o = k + 46. Does 9 divide ((-12)\/10)\/(o\/(-490))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 12*a**3 - a**2 + 534*a - 2157. Is d(4) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 4418, 0, 3 in decreasing order.\nAnswer: 4418, 13, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-10)\/6)\/(-5)*6. Let x be y*1\/4*-6. Does 8 divide (19 - (5 - 3)) + x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of 109*t**5\/10 + 554*t**2 - 17*t - 6. What is the derivative of c(g) wrt g?\nAnswer: 654*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + j. Let h(c) = 5*c - 12. Let u(k) = 2*k - 6. Let y(n) = 6*h(n) - 14*u(n). Let l be y(-8). Is l greater than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -82 - 7?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-2))\/(a*a*a*a\/(a*a*a\/a**(4\/9)))*a**2\/a**1 assuming a is positive.\nAnswer: a**(-13\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of n*r**6 - 69*n*r**3 + 5*n*r - 5*r**2 wrt r?\nAnswer: 120*n*r**3 - 414*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -35 + -3 - (48 + -57).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**2 + 10*t + 3. Let i be p(5). Let h be (5\/(-4) - -1) + (-93)\/12. Which is the nearest to -0.14? (a) h (b) 0.1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 11) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.257 + 1.257. Let w = 59\/410 + -10\/41. What is the third smallest value in -15\/8, 0.5, z, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(16)\/sqrt(2)*-4 + sqrt(8))\/(sqrt(64)*4))**2.\nAnswer: 9\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(1\/9 - (-22967)\/1737).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 155009.\nAnswer: -1\/155009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 104.87552 and -0.02.\nAnswer: 104.85552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - 6*p + 2. Let v be z(5). Let x(n) = 3*n - 1. Let u(s) = 15*s - 5. Let m(t) = 2*u(t) - 11*x(t). Is m(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2 - 78795762*a + 1552193027290161.\nAnswer: (a - 39397881)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -114 - -114.12. Let m = c + 0.38. What is the smallest value in -5, -9, m?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 9*b + 4. Give u(-7).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1 + sqrt(288) + -2)**2*-6 - (-4 + (sqrt(288)*-1 - sqrt(288))**2)*2*4.\nAnswer: -10913 + 144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(12\/7)\/p)\/p*p**(-4\/13))\/(p\/p**(-20)*p**(-5\/9)))**(3\/22) assuming p is positive.\nAnswer: p**(-8615\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 15) in base 14?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(121)\/(sqrt(55)\/sqrt(5)).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a - 20. Let k(b) = -6*b**2 - 2*b. Let r(t) = -5*t**2 - 2*t. Let o(j) = 4*k(j) - 5*r(j). Let d be o(-2). What is f(d)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1986 and 4.\nAnswer: 3972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.43 - 7.475. Let n = h - -7. Round n to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -150555.\nAnswer: 1\/50185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0022235 rounded to five decimal places?\nAnswer: -0.00222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(54\/972*(-114)\/589)\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cqccqcc. Give prob of sequence cc.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 8456436904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 162a900 + -32?\nAnswer: 162a879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 u when two letters picked without replacement from ucciauu?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + g + 997 = -2360, 4*g = -3*x - 2508. Let i = -431 - x. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.039 plus -30978265681?\nAnswer: -30978265680.961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -t**6 - 9*t**4 - 21*t**2 + 3?\nAnswer: -120*t**3 - 216*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 - 32. Let b = -1052.96 + 1031. Let g = b + 22. Sort -2, g, j in decreasing order.\nAnswer: j, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1761289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 150495640 to the nearest 100000.\nAnswer: 150500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/15)\/((-3)\/(-9))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.05 and -602518511.\nAnswer: -602518511.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (24\/10)\/(8\/20). Let f be 128\/120 - 4\/d. What is the closest to 1 in -3, f, 1\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g - 1. Let d(x) = 17*x**2 + 22*x + 6. Let r(b) = -d(b) - 6*f(b). Find the second derivative of r(s) wrt s.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38081.4ml to litres.\nAnswer: 38.0814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) 1\/4 (c) 0.5 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iy when two letters picked without replacement from iiiiyiii.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*1*((-12)\/4)\/18?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 110 and 33?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(900)*-3 + sqrt(900) + sqrt(900) + -6*1*sqrt(900))\/(-5*(sqrt(768) + sqrt(48) - sqrt(12))*-3))**2.\nAnswer: 4\/243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78 and 3639142?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-21)\/2 - -4*4\/32. Let b be (92\/f)\/(-2) - (-150)\/375. Solve 4 = u - 5*s + 7, -b*u = -s - 9 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*z**3 + 34668*z**2 + 142167*z - 160740 = 0.\nAnswer: -5, 12\/13, 893","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 125813427?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 326831921*i**2*q*z**3 - 2*i**2*q*z - 2*i**2*q - 1211*i**2*z**2 - 2*i**2*z + 2*q*z**2 + 158*z**2 wrt z?\nAnswer: 1960991526*i**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*i + 2*i + i)*(-2 + 3 + 10) + i - 4*i + 14*i + (-i + 2*i - 2*i)*(4 - 3 + 1) as w + f*i and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18439\/12 - -4606\/3. Find the common denominator of x and 55\/2086.\nAnswer: 4172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16266 a multiple of 134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*15\/(-120)*4.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.75764 milligrams to micrograms.\nAnswer: 24757.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 4*r**2. Let b(g) = 4350*g**2. What is i(b(v))?\nAnswer: 75690000*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 3*g - 12. Let f(t) = 3*t**2 + 6*t - 27. Let u(z) = -3*f(z) + 7*q(z). Let c(p) = -2*p**2 + 1 - 3*p**2 + 6*p**2 - p. Determine -7*c(j) - 3*u(j).\nAnswer: -j**2 - 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x - 15. Let r be j(-10). Suppose -4*m + 3 = -1, -r*m - 246 = -i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 5*v - 4*v)*(4*v**3 - 2*v**3 - 3*v**3) - 53 + 151 - 57 - 53*v**4 - 44 + 35*v**2.\nAnswer: -52*v**4 + 35*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of x**3\/3 + 7*x**2\/2 + 6*x - 9. Let u be y(-6). Solve -k - 2*k - 6 = u for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 0. Suppose -j = 5*n - 3*n. Let c be (-8 + 8)\/(n + 1). Solve -2*o - 1 + 5 = c for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 - -8 - 103 - 23.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, n: 7}. Give prob of picking 3 p and 1 n.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*f**4\/3 - 10*f**3\/3 - 592*f**2\/3 - 1670*f\/3 + 275 = 0. Calculate f.\nAnswer: -5, 3\/7, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 770379?\nAnswer: 3, 491, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -2\/87 (b) 5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}